THE ETHICS
- PART II
Of the Nature and Origin of the Mind
E2:Dijn:214—On
Man. Bk.XIV:2:3—G-D
and Man.
Circulated -
1673
Posthumously Published
- 1677
Benedict de Spinoza
1632
- 1677
Introduction—Purpose
- Spinozistic
Ideas -
Mark Twain &
Spinoza
The Ethics: Part
I - Part II - Part III -
Part IV - Part
V
Spinozistic Glossary and Index
1. The text is the
1883 translation of the "The Ethics"
by R. H. M.
Elwes, as
printed by Dover Publications in Book
I. The text was
scanned and proof-read
by JBY. For other Versions see Note
7.
2. JBY added sentence numbers.
(y:xx): y = Proposition Number,
if given; xx = Sentence Number.
3. Page numbers are those of Book
I .
4. Symbols:
( Spinoza's
footnote or the Latin word ),
[ Curley's
Book VIII translation variance or footnote
],
] Shirley's Book
VII translation variance or footnote
[,
< Parkinson's Book
XV translation variance or endnote >,
> De
Dijn's Book III translation variation or
comment <,
{ JBY
Comment }. G-D Metaphors LINKS
5. For Bibliography, Citation abbreviations, and
Book ordering see here.
6. Please e-mail
errors, clarification requests, disagreement, or
suggestions to josephb@yesselman.com.
7. Text
version of the Ethics; Latin
versions.
This HTML version was abridged
and formatted for conversion
to an eBook.
The abridged version is available
to be read on various eBook Readers
8. Suggestion: Do not read this
Spinoza electronic text consecutively Durant's
Story
as you
would a novel, but rather follow a thread by following
all its EL:[3]:vi
links
in turn. You will then be putting hypertexting
to its fullest and Schorsch
best advantage—the
fuller discussion of a thread. If you do not stick Tickle
the Fancy
to
one thread at a time,
this
Web Site will seem very convoluted,
confusing, and an annoying
maze.
If you prefer to read linearly,
read these plain vanilla text
versions,
abridged
versions, e-book versions,
or best, study the
printed book—
book page numbers are
given for most scanned books.
9. From Elwes's Introduction—EL:[3]:vi,
EL:[5]:vii, EL:[7]:viii,
EL:[33]:xxi.
10. The
secret to understanding
Spinoza: the MOTIVE for
every- E1:Note
10
thing
he says, is to lay
the groundwork for teaching the
"Organic interdependence
of Parts." Remember this and all
his puzzling
sayings, for example E2:XX:102,
become more,
if
not completely, understandable. See
Posit. Look for
the
Cash
Value.
Bk.XIV:2:7,
8, 695.
11. To help understand many
of the Propositions, use the analogy
of E2:Wolfson:2:8.
you
as G-D
and all parts of you (past,
present, and future) as the
Examples
modes ( particular
things ); also useful
is the individual organism
Indivisible
to the
social organism—the State.
Apparent
Contradiction 2P20
E2:III:84,
E2:IV:84,
E2:XLV:117, E5:XVIII:256,
E5:XIX:256, E5:XXXV:264, E5:Endnote
18:1.
Analogies
12. See Wolfson's
Outline of "The Ethics" compiled
by Terry
Neff.
For Table
of Contents of Wolfson's epic commentary see Bk.XIV:xix.
For Wolfson's "What
is New in Spinoza?" see E5:Bk.XIV:xxvi.
For a "study of
the plan of Ethics 2" see Deleuze's Bk.XIX:338-9.
For
a critical criticism of "The Ethics" see Bennett's Bk.XVIII.
TABLE OF CONTENTS:
Bk.XII:x—Body
and Mind. Bk.XII:193—Let
us now ....
Bk.XIV:xix—Chapter
XIII, Bk.XIV:2:3—Body
and Mind.
Preface:82
Book I. Page Numbers.
Definitions:82
Axioms:83
Axioms, Definitions, and Lemmas
within Proposition XIII:93
Ethica
II: The Lemmas on Bodies - Ron
Bombardi
Postulates:97
Part II Propositions: Book
I:Pg. vii
If you know
the Proposition you want, click its Roman numeral.
If
you want to scroll the list of Propositions click here.
| I | II | III | IV | V | VI | VII | VIII | IX | X |
| XI | XII | XIII | XIV | XV | XVI | XVII | XVIII | XIX | XX |
| XXI | XXII | XXIII | XXIV | XXV | XXVI | XXVII | XXVIII | XXIX | XXX |
| XXXI | XXXII | XXXIII | XXXIV | XXXV | XXXVI | XXXVII | XXXVIII | XXXIX | XL |
| XLI | XLII | XLIII | XLIV | XLV | XLVI | XLVII | XLVIII | XLIX |
Part II Proposition List: Book
I:Pg. vii; {
Hypotheses
}
Suggestion:
Do not read consecutively as you would a
novel;
but
select a Proposition, click its number to the left
and
then follow all its links in turn wherever they
may
lead. You will then be putting hypertexting to
its
fullest and best advantage—a fuller discussion
of
a thread. If you
do not stick to one thread at a
time,
this Web Site will seem very convoluted and
confusing.
{Definition
of Proposition: a statement in which something is affirmed or denied,
so
that it can therefore be significantly characterized as either true or
false.}
All
axioms, definitions, and propositions
are hypotheses. Test Hampshire:99-100
them
for their 'cash value'. See Notes
10 & 11, Posit, and Idea.
| Prop. I. I - XV. Bk.XIV:2:8. |
Thought is an attribute
of G-D, or G-D is a thinking thing. |
| Prop. II. | Extension is an
attribute of G-D, or
G-D is an extended thing. |
| Prop. III. | In G-D there is necessarily
the idea
not only of his Paraphrased essence, but also of all things which necessarily follow from his essence. |
| Prop. IV IV - VI |
The idea
of G-D, from which an infinite number of Paraphrased things follow in infinite ways, can only be one. |
| Prop. V. | The actual being of ideas owns G-D
as its cause, only in so far as he is considered as a thinking thing, not in so far as he is unfolded in any other attribute; that is, the ideas both of the attributes of G-D and of particular things do not own as their efficient cause their objects (ideata) or the things perceived, but G-D himself in so far as he is a thinking thing. |
| Prop. VI. | The modes of any given attribute
are caused by G-D, in so far as he is considered through the attribute of which they are modes, and not in so far as he is considered through any other attribute. |
| Prop. VII. | The order and connection of ideas
is the same as the order and connection of things. |
| Prop. VIII. | The ideas of particular things, or of modes,
that do not exist, must be comprehended in the infinite idea of G-D, in the same way as the formal essences of particular things or modes are contained in the attributes of G-D. |
| Prop. IX. | The idea of an individual thing
actually existing is caused by G-D not in so far as he is infinite, but in so far as he is considered as affected by another idea of a thing actually existing, of which he is the cause, in so far as he is affected by a third idea, and so on to infinity. |
| Prop. X. X - XIII. Bk.XIV:2:8. |
The being of substance
does not appertain to the essence of man—in other words, substance does not constitute the actual being ("Forma") of man. |
| Prop. XI. | The first element, which constitutes the actual being
of the human mind, is the idea of some particular thing actually existing. |
| Prop. XII. | Whatsoever comes to pass in the
object of the idea, which constitutes the human mind, must be perceived by the human mind, or there will necessarily be an idea in the human mind of the said occurrence. That is, if the object of the idea constituting the human mind be a body, nothing can take place in that body without being perceived by the mind. |
| Prop. XIII. | The object of the idea
constituting the human mind is the body, in other words a certain mode of extension which actually exists, and nothing else. |
| Prop. XIV. XIV - XLIX. Bk.XIV:2:72. XIV-XXII. |
The human mind is capable of perceiving a great num- ber of things, and is so in proportion as its body is Damasio:210 capable of receiving a great number of impressions. |
| Prop. XV. | The idea,
which constitutes the actual being of the human mind, is not simple, but compounded of a great number of ideas. |
| Prop. XVI. XVI-XLVII Bk.III:222. |
The idea of every mode, in which
the human body is affected by external bodies, must involve the nature of the human body, and also the nature of the external body. |
| Prop. XVII. Bk.III:221. |
If the human body is affected
in a manner which involves the nature of any external body, the human mind will regard the said external body as actually existing, or as present to itself, until the human body be affected in such a way, as to exclude the existence or the presence of the said external body. |
| Prop. XVIII. | If the human body has once been
affected by two or more bodies at the same time, when the mind after- wards imagines any of them, it will straightway remem- ber the others also. |
| Prop. XIX. | The human mind has no knowledge
of the body, and does not know it to exist, save through the ideas of the modifications whereby the body is affected. ANS ] affections [ |
| Prop. XX. Bk.III:222. |
The idea or knowledge of
the human mind is also in G-D, following in G-D in the same manner, and being referred to G-D in the same manner, as the idea or knowledge of the human body. { Note 10 } |
| Prop. XXI. | This idea of the mind is united to the mind in the same way as the mind is united to the body. |
| Prop. XXII. | The human mind perceives not only
the modifications of the body, but also the ideas of such modifications. |
| Prop. XXIII. | The mind does not
know itself, except in so far as it perceives the ideas of the modifications of the body. |
| Prop. XXIV. Bk.III:223. E2:2P24-32. |
The human mind does not involve an adequate
know- ledge of the parts composing the human body. |
| Prop. XXV. | The idea of each modifications
of the human body does not involve an adequate knowledge of the external body. |
| Prop. XXVI. | The human mind does not perceive
any external body as actually existing, except through the ideas of the modifications of its own body. |
| Prop. XXVII. | The human mind does not
perceive any external body as actually existing, except through the ideas of the modifications of its own body. ] affections [ |
| Prop. XXVIII. | The ideas of the modifications
of the human body, in so far as they have reference only to the human mind, are not clear and distinct, but confused. |
| Prop. XXIX. | The idea of the idea
of each modifications
of the human body does not involve an adequate knowledge of the human mind. |
| Prop. XXX | We can only have
a very inadequate knowledge
of the duration of our body. |
| Prop. XXXI. | We can only have a very inadequate
knowledge of the duration of particular things external to ourselves. |
| Prop. XXXII. Bk.III:224. |
All ideas,
in so far as they are referred to G-D, are true. |
| Prop. XXXIII. E2:2P33. |
There is nothing positive in ideas, which causes
them to be called false. |
| Prop. XXXIV. | Every idea, which in us is absolute or adequate
and perfect, is true. |
| Prop. XXXV. | Falsity consists in the privation of knowledge,
which inadequate, fragmentary, or confused ideas involve. |
| Prop. XXXVI. | Inadequate and confused ideas follow by
the same necessity, as adequate or clear and distinct ideas. |
| Prop. XXXVII. | That which is common
to all (cf. Lemma.II. below), and which is equally in a part and in the whole, does not constitute the essence of any particular thing. |
| Prop. XXXVIII. | Those things, which are common to all, and which are equally in a part and in the whole, cannot be conceived except adequately. {G-D} |
| Prop. XXXIX. | That, which is common to and a property
of the human body and such other bodies as are wont to affect the human body, and which is present equally in each part of either, or in the whole, will be represented by an adequate idea in the mind. { G-D , Note 4 } |
| Prop. XL. Knowledge |
Whatsoever ideas
in the mind follow from ideas which are therein adequate, are also themselves adequate. |
| Prop. XLI. | Whatsoever comes to pass in
the object of the idea, which constitutes the human mind, must be perceived by the human mind, or there will necessarily be an idea in the human mind of the said occurrence. That is, if the object of the idea constituting the human mind be a body, nothing can take place in that body without being per- ceived by the mind. |
| Prop. XLII. | Knowledge
of the second and third kinds, not knowledge of the first kind, teaches us to dis- tinguish the true from the false. |
| Prop. XLIII. | He, who has a true
idea,
simultaneously knows that he has a true idea, and cannot doubt of the truth of the thing perceived. |
| Prop.
XLIV. Bk.III:229. |
It is not in the nature of reason
to regard things as contingent, but as necessary. |
| Prop. XLV. | Every idea
of every body, or of every particular thing actually existing, necessarily involves the eternal and infinite essence of G-D. |
| Prop. XLVI. | The knowledge of the eternal and
infinite essence of G-D which every idea involves is adequate and perfect. |
| Prop. XLVII. | The human mind has
an adequate knowledge of the eternal and infinite essence of G-D. |
| Prop.
XLVIII. Bk.III:233. Bk.XIV:1:401. XLVIII-XLIX |
In the mind there is
no absolute or free will; but the mind is determined to wish this or that by a cause, which has also been determined by another cause, and this last by another cause, and so on to infinity. |
| Prop. XLIX. | There is in
the mind no volition or affirmation
and negation, save that which an idea, inasmuch as it is an idea, involves. |
page 82
PREFACE: Bk.XIV:2:51&2—Bk.VIII:93[1].
I now
pass on to explaining the results, which must necessarily
follow from the essence of G-D, or of the eternal and infinite being; Scr:Note 4.
not, indeed, all of them (for we
proved in I:Prop.xvi., that an infinite
Bk.III:209.
number must follow in an
infinite number of ways), but only those E2:Dijn:214.
which are able to lead
us, as it were by the hand, to the knowledge
Bk.III:173—TEI:[16]:82
of the human mind
and its highest blessedness. E5:Wolfson:2:311
Bk.XIV:2:61&2—Bk.VIII:93[1],
Nicomachean Ethics.
DEFINITIONS
{ G:Notes
1 & 2, Hypothesis.
}
< Bk.XV:26956—E1:Parkinson:2601 >
Def. I. By
body I mean a
mode which expresses in a certain
determinate
manner the essence of G-D,
in so far as Bk.XIV:2:414.
as he is considered
as an extended thing. 2P13L2,
13L3; 3P2. <------- small
print, Logical
Index.
(I:Prop.xxv.Coroll.)
Bk.III:207;
Bk.VIII:4471; Bk.XVIII:612d2, 642d2, 1472d2, 2332d2.
< Bk.XV:27170
on E2:X(15)N2:90 >
<
appertaining. Bk.XV:26957—E2:X(10)N2:89
>
Def. II. I
consider as belonging
to the essence of a thing
that,
which
being given, the thing is necessarily given
also,
and,
which being removed, the thing is necessarily Wolf:P66,
L1- 5
removed
also; in other words, that without which the
thing,
can neither be nor be conceived. 2P10,
37.
<------- small print,
Logical Index.
]
G:Shirley:2513—ideate, E2:XLVIII(9) &
XLIX:120, E1:XXX:(1):69 [
Def. III. By
idea, I mean the mental conception
which is formed E1:Parkinson:26311—True
Idea
by
the mind as a thinking thing. 2P48S.
< Bk.XV:26958—E2:XLIII(5)N:114,
E2:XLVIII(2)N:119,
E2:XLIX(21)N:121,
E2:XLIX:120, TEI:[110]:41. >
Explanation.—
I say conception rather than
perception,
because the word perception seems
to imply that the mind is passive
in respect to the
object; whereas conception seems to express an Bk.XIV:2:462.
activity
of the mind.
Bk.XIX:20.
]
G:Shirley:2513—ideate, E2:XLVIII(8) &
XLIX:120, E1:XXX:(1):69 [
< Bk.XV:27059—E1:Ax.VI:46,
TEI:[29]:11, TEI:[35}:13,
E2:XXIV:104. >
Def. IV. By
an adequate idea,
I mean an idea which, in
^ Bk.III:79—TEI:L64(60):395.
so
far as it is considered in itself, without relation
<
denomination. TEI:[69]:26
> {
Bk.XIV:2:101—internal signs.}
to
the object, has all the
properties or intrinsic Bk.XIV:1:165.
]characteristics[ Bk.XIV:2:98;
Bk.XVIII:1762d4—TEI:L64(60):395..
marks
of a
true idea.
{
Bk.XIV:2:101—TEI:L64(60):395.
Example:
POSIT }
{
internal
}
Explanation.—
I say intrinsic,
in order to exclude
Hampshire32:102
{
sign
}
{
external
}
that
mark which is extrinsic,
namely, the agreement
between
the idea and its object (ideatum).
Bk.XIV:1:xvii1&2,
331-369, 3571, Bk.XIB:22786;
248144.
Bk.XVIII:2032d5, 2632d5.
<
E5:Parkinson:284170
> { Neff-E5:L29[5](12):317,
E5:Einstein Time }
Def. V. Duration
is the indefinite continuance of existing.
Explanation.—
I say indefinite, because it cannot be
determined
page 83
through the existence
itself of the
existing
thing, or by its efficient
cause, which neces- E2:2P24-32.
sarily
gives the existence of the thing, but does not
take
it away. {
E5:Endnote 31:1, Neff-E5:L29[3](12):317 }
Bk.XV:27060—E1:IX:50,
E1:XI(29)N:53, E4:Prf.(36):190;
Bk.XVIII:2972d6.
Def. VI. Reality
and perfection
I use as synonymous terms.
Reality Curve
^ EL:Endnote
Bk.III:211. 4PREF;
5P35, 40.
<------- small print,
Logical Index.
Bk.III:217, Bk.XIV:2:192—E3:V:136. { Pantheism—Bk.XVIII:368p36cs,
369p24.
}
[
singular ] < Bk.XV:27061—E2:Def:95,
E2:XIII(7)N1:92. >
Def. VII. By
particular
]individual[
things, I mean
things
Calculus:Fig. 3
which
are finite and have a conditioned
existence;
Creation
but if several individual things concur in one action,
Durant:638
- individual
so
as to be all simultaneously the effect
of one
cause,
I consider them all, so far, as one particular
thing. {
The ultimate thing is G-D,
see 5P13. } Bk.XVIII:2502d7.
AXIOMS
Ax. I. The essence
of man does not involve necessary
existence,
that is, it may, in the order of nature,
come
to pass that this or that man does or does
not
exist. 2P10,
30.
<------- small print,
Logical Index.
Bk.XVIII:1142a1, 1212a1, 2362a1.
Ax. II. Man
thinks. Bk.VIII:4483; Bk.III:209,
215, 218. 2P11. E1:Dijn:189
Bk.III:187,
207, 243; Bk.XIV:1:4055,
2:1723;
Bk.XVIII:1252axioms, 2699; Bk.XIX:22010.
Ax. III. Modes
of thinking, such as love, desire, or any other Also
understanding
of
the passions, do not take place, unless there be in
the
same individual an idea of the thing loved, desired,
&c.
But the idea can exist without the presence of any
{
Why do you love it?;
other
mode of thinking. 2P11,
49. do
you think altruistically? }
Bk.III:209,
215, 218; Bk.XVIII:232a4.
Ax. IV. We
perceive that a certain body is affected in many ways.
2P13.
Bk.III:215. { Note
4 }
Ax. V. We feel
and perceive no particular ] individual [
things,
save
bodies and modes of thought. 2P13.
N.B. The postulates
are given after the conclusion of Prop.xiii.
PART II PROPOSITIONS. {
Hypotheses
}
] G:Shirley:2513 [
For all Propositions see Scroll P1.
E2:Dijn:214
Prop. I. Bk.XIV:2:8—I - IX;
Bk.III:215;
Bk.XIV:2:223;
Bk.XVIII:492p1, 131p1; Bk.XIX:467.
{ Sequence
} < Bk.XV:26316—E1:X(2)N:51.> Bk.XIV:2:83.
{ Mind, Ideas,
Computer. } < Bk.XV:26419—E1:XIV(5)C2:55.
> Durant:637-
2P1
Thought
is an attribute of G-D, {
Synthesize
or G-D is
a thinking thing.
with Prop.
II. }
[
E1:Endnote XXXI.
] 2P2, 3,
20.
<------- small print,
Logical Index.
]
Neff—EL:L04[3](04):282, Bk.XIII:6713—E2:II:84. [
]
Individual, Note 4 [
Proof.— (1:1)
Particular thoughts,
or this or that thought, are modes
Calculus:Fig.3
Bk.XIX:145.
which, in a certain conditioned
manner, express the Nature of G-D
(I:Prop.xxv.Coroll.). (2) G-D therefore possesses the attribute (I:Def.v.)
of which the concept is involved in all particular thoughts, which
latter are conceived thereby. (1:3) Thought, therefore, is one of the
infinite attributes of G-D which express G-D's eternal and infinite
essence (I:Def.vi.). (4)
In other words, G-D is a thinking thing.
Q.E.D.
Note.— (1:5)
This proposition is also evident from the fact,
that we are
able to conceive an infinite thinking Being. (1:6) For, in page 84 pro-
portion as a thinking being is conceived as thinking more thoughts,
so is it conceived as containing more reality or perfection. (1:7) There-
fore a Being, which can
think an infinite number of things in an
Bk.XIX:12118.
infinite number of ways, is, necessarily,
in respect of thinking, infinite.
(1:8) As, therefore, from the consideration of thought alone we con-
ceive an infinite being, thought is necessarily (I.Deff.iv.and vi.) one
of the infinite attributes of G-D, as we were desirous of showing.
E2:Dijn:214
Prop. II. E2;Wolfson:2:10—Spinoza's
Daring; Bk.XVIII:49, 131p2; Bk.XIX:467.
Proof.— (2:1) The proof of this proposition is similar to that of the last.
http://www.psych.ucsb.edu/research/cep/primer.html; Evolutionary Psychology: A Primer; Leda Cosmides & John Tooby—Mind / Body
Realizing that the function of the brain is information-processing has allowed cognitive scientists to resolve (at least one version of) the mind/body problem. For cognitive scientists, brain and mind are terms that refer to the same system, which can be described in two complementary ways—either in terms of its physical properties (the brain), or in terms of its {unconscious and conscious} information-processing operation (the mind). The physical organization of the brain evolved because that physical organization brought about certain information-processing relationships {ANS}—ones that were adaptive.
Prop. III. Bk.VII:474—E1:Endnote
21:1;
Bk.XII:165,187; Bk.XIV:1:238ff, 2:2961;
Bk.XVIII:152p3,7, 762p3d, 1202p3d, 1302p3,
140p3d, 1502p3d,7d, 184p3, 1872p3; Bk.XIX:11610.
Bk.III:203,
215.
In G-D
there is necessarily the idea
not only of his essence,
but also of
all things
which necessarily follow
Bk.XIV:2:491,
532
from his essence.
2P5, 9C,
20., 24; 5P22,
35.
<------- small print,
Logical Index.
[ Bk.VIII:42954—E2:III:84,
E2:VII(3)C:86 ]
{ Paraphrased using the analogy suggested in Note 11: Other Examples—1D6, 2P4
In YOU there is necessarily the
idea not only of
yourself (your being), but also of all the things Cash
Value—organic
which necessarily follow
from your being (heart,
lungs, fingernails, shoes, etc., etc., etc.).
}
Proof.— (3:1)
G-D
(by the first Prop. of this Part)
can think an infinite
number of things in infinite ways, or (what is the same thing, by
I:Prop.xvi.) can form the idea of his essence, and of all things which
necessarily follow therefrom. (2)
Now all that is in the power of G-D
]
E1:Endnote 21:1 [
necessarily is. (I:Prop.xxxv.)
(3:3)
Therefore, such an idea as we are
considering necessarily is, and in G-D alone. Q.E.D.
( I:Prop.xv.)
<
E1:XXXIV:74
>
Note.—
(3:4) The
multitude understand by the power of G-D
the free Metaphors.
will of God, and the right over all
things that exist, which latter are
Bk.XVIII:1162p3s.
accordingly generally considered
as contingent. (3:5)
For it is said
that God has the power to destroy all things, and to reduce them to
nothing. (3:6) Further, the power of G-D is very often likened to the
power of kings. (3:7) But this doctrine we have refuted (I:Prop.xxxii,
Corolls.i. and
ii.), and we have shown (I:Prop.
xvi.) that G-D acts by
Bk.XIX:1002.
the same necessity,
as that by which he understands himself; in
other words, as it follows from
the necessity of the divine Nature
Bk.XIX:1015,6.
(as all admit), that G-D understands
himself, so also does it follow
by the same necessity, that G-D
performs infinite acts in infinite
ways. (3:8)
We further showed (I:Prop.xxxiv.),
that G-D's power
is Metaphors
<
E1:XXXIV:74
>
identical with
G-D's essence in action;
therefore it is as impossible
for us to conceive G-D as not
acting, as to conceive him as non-
Bk.XIX:1003.
existent. (3:9)
If we might pursue the
subject page 85
further, I could
point out, that the power which is commonly attributed to G-D is not
only human (as showing that G-D is conceived by
the multitude as
Bk.XVIII:332p3s—TL:L36(23):345.
a man, or in the likeness
of a man), but involves a negation of
power. (3:10) However, I am unwilling to go over the same ground so
often. (3:11) I would only beg the reader again and again, to turn over
frequently in his mind what I have said in from I:Prop. xvi. to the end.
(3:12) No one will be able to follow my meaning, unless he is scrupu-
lously careful not to confound the power of G-D with the human
power and right of kings.
Prop. IV. Bk.III:203,
207, 2153
; Bk.XIB:249147;
Bk.XVIII:104p2,4,5,6,
1984; Bk.XIX:12015.
]
E1:Endnote 21:1
[—Bk.III:217; Bk.XIV:1:2384.
The idea
of G-D, from which an
Avoids Idolatry.
infinite
number of things follow
Bk.XIV:2:492
in infinite ways, can only be one.
] EL:L15[5](32):290.
[
{ Paraphrased using the analogy suggested in Note 11: Other Examples—1D6, 2P3
The idea of YOU, from which
an
infinite number of things follow
in infinite ways, can only be one
interdependent organism. } Cash
Value
Proof.— (4:1)
Infinite intellect comprehends
nothing save the attri-
]
affections [ {
my capitals }
butes of G-D and his modifications
(I:Prop.xxx.). (4:2) Now
G-D is ONE
]
E1:Endnote 21:1N
[
(I:Prop.xiv.Coroll.).
(4:3) Therefore
the idea of G-D,
wherefrom an
infinite number of things follow in infinite ways, can only be one.
Q.E.D.
Prop. V. Bk.III:216;
Bk.XVIII:1281, 1302p5—5p22,
35, 156p5,6,9; Bk.XIX:1156.
< Bk.XV:27062—E2:VI:86.
Bk.XV:26531—E1:XVII(21)N:61.
>
] formal.
E1:Shirley:2617
[
The actual
being of ideas owns G-D
as its cause,
only in so far as he is
considered as a thinking thing,
not in
so far as he is unfolded in any other
attribute; that
is, the ideas both of the
attributes of G-D and of
particular
things do not own as their
efficient
cause their
objects (ideata)
or the E1:Parkinson:26311—True
Idea
things perceived, but G-D himself in
so far as he is a thinking thing.
Bk.XIV:2:225.
Proof.— (5:1) This
proposition is evident from Prop.
iii. of this Part.
(5:2) We there drew the conclusion, that G-D can form the idea of his
essence, and of all things which follow necessarily therefrom,
solely
Bk.XIX:9017; 12118; 12219.
because he is a thinking thing, and
not because he is the object of
his own idea. (5:3) Wherefore the actual being of ideas owns for
cause G-D, in so far as he is a thinking thing. (3a) It may be differently
proved as follows: the actual being of ideas is (obviously) a mode
of thought, that is (I:Prop.xxv.Coroll.) a mode which expresses in a
certain manner the nature of G-d, in so far as he is a thinking thing,
and therefore (I:Prop.x.) involves the conception of no other attri-
bute of G-D, and consequently (by I:Ax.iv.) is not the effect of any
attribute save thought. (5:4) Therefore the actual being of ideas owns
G-D as its cause, in so far as he is considered as a thinking thing,
&c. Q.E.D.
page 86
Prop. VI. Bk.III:200,
216; Bk.XVIII:141p10,2p6, 482p6, 1281, 1422p6d, 156p5,6,9, 2862p6.
The modes of any given
attribute are
caused by
G-D, in so far
as he is
Bk.XIV:1:1524,
2:2422.
considered through the attribute
of
which they are modes, and not in so
far as he is considered through any Bk.XIV:2:233
other attribute.
2P9, 13L3,
45; 3P2, 11S;
4P7, 29.
<------- small
print, Logical
Index.
< Bk.XV:27062—E2:V:85
>;
TL:L65(63):396;
Neff
TL:L66(64):398.
Bk.XIV:2:224; Bk.XIX:10614.
Proof.— (6:1)
Each attribute is conceived through
itself, without any
other (I:Prop. x.); wherefore the modes of each attribute involve the
conception of that attribute, but not of any other. (6:2) Thus (I:Ax.iv.)
they are caused by G-D, only in so far as he is considered through
the attribute whose modes they are, and not in so far as he is con-
sidered through any other. Q.E.D.
Corollary.— (6:3)
Hence the actual being
of things, which are not
modes of thought, does not follow from the
Divine Nature, because
Bk.XVIII:2172p6c.
that nature has prior
knowledge of the things. (6:4)
Things repre- Bk.XIV:2:231.
Bk.III:200.
sented in ideas follow, and are derived from their particular attribute,
{
immanent } < Bk.XV:27063
>
in the same ^ manner,
and with the same necessity
as ideas follow
Bk.III:216.
(according to what we have shown) from
the attribute of thought.
2P36;
5P1.
^ and
are concluded—Bk.XIV:2:232.
Prop. VII. Bk.XVIII:152p3,7, 1272p7,d, 140p7d, 1502p3d,7d, 1682p7, 185p7.
The order and connection of Quoteable
Einstein
< TEI:[38]:14
> Bk.III:138; Bk.XIB:234103,
236105.
ideas is the same
as the order Durant65:176
Bk.XIV:2:493. {nature}
and connection of things. Bk.XIV:2:235
{
EL:[47]:xxv.
} [
Ideas of G-D
] Bk.III:80,
216
See
2P49—Spinoza's
Doctrine.
2P8, 9,
9C, 15, 19, 20,
24, 25, 26;
3P11, 12; 5P1.
{From Max Jammer's "Einstein and Religion"; ISBN: 0691006997; 1999; p. 43.
In
1930, Einstein was invited by the New York Times to contribute
an essay on his conception of the relation between
science and religion. In this article, entitled "Religion and Science,
"Einstein used, apparently for
the first time, the term "cosmic
religious feeling" to describe the emotional state that one experiences
when one recognizes the "futility of human desires
and the sublimity and marvelous order which reveals
itself both in nature and in world of thought."
In assuming one order in nature and in thought, Einstein
followed, consciously or not, Spinoza's
Doctrine: "Order and connection of ideas
is the same as order and
connection of things."
This Spinozistic tenet underlies Einstein's epistemological realism, his
belief that a
rational explanation of the universe is possible,
his belief in the "mysterious comprehensibility of the
world." }
Proof.— (7:1) This proposition is evident from I:Ax.iv. (7:2) For the idea
of everything that is caused depends on a knowledge of the cause,
whereof it is an effect.
Bk.III:217.
Corollary.— (7:3)
Hence G-D's
power of thinking is equal to his
rea- Metaphors
lized power of action—that is, whatsoever
follows from the infinite
<
E1:XVII(21)N:61
>
nature of G-D in the world of extension
(formaliter), follows
without
Bk.III:215. ]
E1:Endnote 21:1
[
exception in the same
order and connection from the idea
of G-D
]
TEI:Shirley:2617
[ Bk.III:207,
215.
in the world of thought (objective). 2P32, 38,
39; 3P28.
Bk.XVIII:1542p7c, 168p7c, 1702p7c, 3604.
Neff
TL:L66(64):399.
Note.—
(7:4) Before going
any further, I wish to recall to mind what
has been pointed out above—namely,
that whatsoever can be per-
Bk.XIV:1:1532,
2153,
226, 2385.
ceived by the infinite
intellect as constituting the essence of sub-
{ L65(63):396,
Neff-TL:L66(64):399
}
stance, belongs altogether
only to one substance: consequently,
<
Bk.XV:27064,
E5:Prf(6):244.
>
substance thinking
and substance extended are one and
the same
Bk.XVIII:152p7s;
Bk.XX:23475.
substance, comprehended now through one
attribute, now through
2P8, 12S,
21S; 3P2S.
Bk.XIV:1:2472.
the other. (7:5)
So, also, a mode of
extension and the idea of that
Bk.XVIII:142p7s.
Bk.XIV:2:234, 415—different.
mode are one and the same
thing, though expressed in two ^ ways.
Bk.XV:27065; Bk.XIX:10512.
(7:6) This
truth seems to have been dimly recognized by
those Jews Fifth
Daring [2]
who maintained that G-D, G-D's
intellect, and the things understood Metaphors
Bk.XIX:1014.
Bk.XX:234.
by G-D are identical.
(7:7) For
instance, a circle existing page
87 in
nature, and the idea
of a circle existing, which is also
in G-D,
<Bk.XV:27166—Bk.XV:27379-E2:XVII(6)N:99, E2:XII:91,
E2:XIII:92>,
<E5:Parkinson:283162—Bk.XV:26316
on E1:X(2)N:51,
E2:VII(4)N:86, E4:Ap.XXXII(1):242.>
are
one and the same thing displayed through
different attributes.
(7:8) Thus,
whether we conceive Nature
under the attribute of exten- Hampshire32:64
<
Bk.XV:27167—E1:XI:51,
E1:D.VI:45,
Neff-L66(64):398
>; Bk.XVIII:772p7s.
sion, or under the attribute of thought,
or under any other attribute,
Bk.XIV:1:2465&6—natural
events.
we shall find the same order,
or one and the same chain of
causes
—that is, the same things following in either case. Bk.III:216.
(7:9) I
said that G-D is the cause of an idea—for
instance, of the idea
of a circle,—in so far as he is a thinking thing; and of a circle, in so
far as he is an extended thing, simply because the actual being of
the idea of a circle can only be perceived as a proximate cause
through another mode of thinking, and
that again through another,
Bk.XIV:1:1524.
and so on to infinity;
so that, so long as we consider things as
Bk.XIV:2:261.
modes of thinking, we must explain the
order of the whole of nature,
or the whole chain of causes, through the attribute of thought only.
(7:10) And, in so far as we consider things as modes of extension, we
must explain the order of the whole
of nature through the attribute
Bk.XIX:1131.
of extension only;
and so on, in the case of other
attributes.
(7:11) Wherefore of things as they are in themselves G-D is really the
cause, inasmuch
as he consists of infinite attributes.
(7:12)
I cannot
Bk.XIX:11119.
for the present explain my meaning more
clearly. 2P8, 12S,
21S; 3P2S.
Bk.XVIII:262p7s, Bk.XVIII:2713—Bk.XIV:1:57-59—EL:L02(02):276;
Bk.XVIII:3582p7s.
Prop. VIII. Bk.III:215,
217; Bk.XIV:2:312—Bk.VIII:86[7],
Bk.XIV:2:2927&9;
Bk.XVIII:3582p8, 366; Bk.XIX:1935—E1:VIII(11)s2:48; Bk.XIX:19412.
The ideas
of particular things, or of modes,
that do not exist, must be comprehended in
the infinite idea
of G-D, in the same way as Bk.XIV:1:2384.
the formal essences
of particular things or Bk.XIV:2:2929.
modes are contained in the attributes
of G-D.
3P11S.
Proof.— (8:1)
This proposition is evident from the last;
it is understood
more clearly from the preceding note.
Corollary.— (8:2)
Hence, so long as particular
things do not exist,
Bk.III:217; conceived—Bk.XIV:2:2921.
except in so far as they are comprehended
in the attributes of G-D,
<
E1:XVII(21):61
> Bk.XVIII:3662p8c.
their representations
in thought or ideas do not exist, except in so
far as the infinite idea
of G-D exists; and when particular things are
Bk.III:203,
204, 215, 259; Bk.XIX:19613,
21422.
said to exist, not only in so far as they
are involved in the attributes
of G-D, but also in so far as they are said
to continue, their ideas
Bk.XIX:21321.
will also involve existence,
through which they are said to continue.
2P9,
11, 15, 45; 3P11S;
5P21, 23.
Note.—
(8:3) If
anyone desires an example to throw more light on this
question, I shall, I fear, not be able to give him any, which adequate-
ly explains the thing of which I here speak, page
88 inasmuch
as it is
]
has no parallel [
unique; however, I will endeavour
to illustrate it as far as possible.
(8:4) The
nature of a circle is such that if any number of straight lines
]
See Sketch Bk.VII:68
[; Bk.XIX:19613; 2049.
intersect within
it, the rectangles formed by their segments will be
equal to one another; thus, infinite
equal rectangles are contained
^ [ in
area. Bk.VIII:45215—This
is theorem 35, Book III, of Euclid's Elements,
which
is more easily stated if we add to Spinoza's diagram some letters
he
does not use. If AC and
FG are any two lines intersecting at a
point
B in a circle, then the rectangle
with base AB and height BC is
equal
in area
to that with base BG and height BF. ] 2P9;
3P11S.
in a circle. (8:5)
Yet none of these rectangles
can be said to exist,
except in so far as the circle exists; nor can the idea
of any of these
Bk.III:217.
rectangles be said to exist, except
in so far as they are compre-
hended in the idea of the circle. (8:6) Let us grant that, from this infinite
number of rectangles, two only exist. (8:7) The ideas of these two not
only exist, in so far as they are contained in the idea of the circle,
but also as they involve the existence of those rectangles; wherefore
they are distinguished from the remaining ideas of the remaining
rectangles.
Prop. IX. Bk.III:216,
218; Bk.XVIII:156p5,6,9, 17014;
Bk.XIX:1451.
The idea of an individual thing
actually
existing is caused
by G-D, not in so far
as he is infinite, but in
so far as He is
considered as affected by another idea
of a thing actually existing, of which He
is the cause, in so far as He
is affected
by a third idea,
and so on to infinity.
{ However,
E5:XVII(1):255 } 2P9C,
19, 20, 24,
25; 3P1.
Proof.— (9:1)
The idea of an individual
thing actually existing is an
individual mode of thinking, and is distinct from other modes (by the
Corollary and Note to Prop. viii. of this part); thus (by Prop. vi. of
this part) it is caused by G-D, in so far only as he is a thinking thing.
(9:2) But not (by I:Prop.xxviii.) in so far as he is a thing thinking abso-
lutely, only in so far as he is considered as affected by another mode
of thinking; and he is the cause of this latter, as being affected by a
third, and so on to infinity. (9:3) Now, the order and connection of
ideas is (by Prop. vii. of this book) the same as the order and con-
nection of causes. (9:4) Therefore of a given individual idea another
individual idea, or G-d, in so far as he is considered as modified by
that idea, is the cause; and of this second idea G-d is the cause, in
so far as he is affected by another idea, and so on to
infinity. Q.E.D.
Corollary.— (9:5)
Whatsoever takes place in
the individual object of
any idea, the
knowledge thereof is in G-d, in so far only
as he has Bk.XIV:2:516
Bk.III:218.
the idea of the object. 2P12,
13, 30; 3P10.
Bk.XVIII:1302p9c,20,24, 1542p9cd;
Bk.XIX:1653.
Proof.— (9:6)
Whatsoever takes place in
the object of any idea, its
idea is in G-d (by Prop. iii. of this part), not in so far page 89 as he is
infinite, but in so far as he is considered as affected by another idea
of an individual thing (by the last Prop.); but (by Prop. vii. of this
part) the order and connection of ideas is the same as the order
and connection of things. (9:7) The knowledge, therefore, of that which
takes place in any individual object will be in G-d, in so far only as
he has the idea of that object. Q.E.D.
Prop. X. Bk.XIV:2:8—X - XIII.; Bk.XVIII:1262p10,
11, 13.
The being of substance
does not
< Bk.XV:27170
on E2:X(15)N2:90 >
appertain to the essence
of man— Wolf:P66,
L1- 5
in other words, substance does not
constitute the actual being ("Forma")
of man. 2P10C.
Proof.— (10:1)
The being of substance involves
necessary existence
(I:Prop.vii.). (2)
If, therefore, the being of substance appertains
to the
{
posited }
essence of man, substance being granted,
man would necessarily
be granted also (II:Def. ii.), and, consequently, man would neces-
sarily exist, which is absurd (II:Ax.i.).
Therefore, &c. Q.E.D.
Note 1.— (10:3) This
proposition may also be proved from I:v., in
which
it is shown that there cannot be two substances of the same nature;
for as there may be many men, the being of substance is not that
which constitutes the actual being of man. (4) Again, the proposition
is evident from the other properties of substance—namely, that sub-
stance is in its nature infinite, immutable, indivisible, &c., as anyone
may see for himself.
< Bk.XV:27170
on E2:X(15)N2:90 >
Corollary.—
(10:5) Hence
it follows, that the essence
of man is
{
determined }
]
affections [ Bk.III:218;
Bk.XIB:23294.
constituted by certain modifications
of the attributes of G-D.
(6) For
^Bk.XIV:1:3844; Bk.XIV:2:411&2—Bk.III:94[3]^
(by the last Prop.)
the being of substance does not belong to the
Bk.XIV:2:371&2—Bk.VIII:94[4]; Bk.XIX:479.
essence of man. (10:7)
That essence therefore (by I:xv)
is something
which is in G-D, and which without G-D can neither be nor be con-
ceived, whether it be a modification (I:xxv.Coroll.),
or a mode which
Bk.XIV:2:353—determinate.
expresses G-d's
nature in a certain conditioned manner. 2P11;
4P29.
Note 2.—
(10:8) Everyone
must surely admit, that nothing
can be or be
Bk.III:208.
conceived without G-D.
(10:9) All
men agree that G-D is the one and
< Bk.XV:27170—E2:De.II:82,
E2:X:89, E2:XC:89 >
only cause
of all things, both of their essence
and of their existence;
that is, G-D is not only the cause of things in
respect to their being
<
E2:Def.II:82. >
made (secundum fieri), but also
in respect to their being (secundum
esse). {
Analogy }
Bk.XIV:2:381&2—Bk.III:94[5].
(10:10) At
the same time many assert,
that that, without which a thing
> pertains—Bk.III:207.
<
cannot be nor be conceived,
belongs to the essence of that thing;
wherefore they believe that either the Nature
page 90
of G-D
apper-
<
Bk.XV:26957,
E2:Def.II:82.
>
tains to
the essence of created
things, or else that created things
can be or be conceived without
G-D; or else, as is more
probably
Bk.XIV:2:393.
the case, they hold inconsistent doctrines.
(10:11) I
think the cause for
such confusion is mainly, that they do not keep
to the proper order
<
argument. Bk.XV:27169.
>
of philosophic thinking. (10:12) The
Nature of G-D,
which should be re-
flected on first, inasmuch as it is prior both in the order of knowledge
and the order of Nature, they have taken to be last in the order of
knowledge, and have put into the first place what they call the ob-
jects of sensation; hence, while they are considering natural pheno-
mena, they give no attention at all to the Divine Nature, and, when
afterwards they apply their mind to the study of the Divine Nature,
they are quite unable to bear in mind the first hypotheses, with
which they have overlaid the knowledge of natural phenomena,
inasmuch as such hypotheses are no help towards understanding
the Divine
Nature. (10:13)
So that it is hardly to be wondered at,
that
Bk.III:208.
these persons contradict themselves freely.
(10:14) However,
I pass over this point. (15)
My intention here was only
to give a reason for not saying, that that, without which
a thing can-
<
Bk.XV:27170—E2:Def.II:82,
E2:X:89, E2:X(5)C:89. >
not be or be conceived, belongs
to the essence of that thing:
individ-
ual things cannot be or be conceived without G-D, yet G-D does
not appertain to their essence. (10:16) I said that "I considered as be-
longing to the essence of a thing that, which being given, the thing
is necessarily given also, and which being removed, the thing is
necessarily removed also; or that without which the thing, and
which itself without the thing can neither be nor be conceived."
Prop. XI. Bk.III:205,
218; Bk.XIV:2:442; Bk.XVIII:142p11,12;
1262p10,11,13; 1552p11,13; 2052p11d; Bk.XIX:1923.
Proof.— (11:1)
The essence
of man (by the Coroll. of the last Prop.) is
constituted by certain modes of the attributes of G-D, namely (by
II:Ax.ii.), by the modes of thinking, of all which (by II.Ax.iii.) the idea is
prior in nature, and, when the idea is given, the other modes (namely,
those of which the idea is prior in nature) must be in the same indi-
vidual (by the same Axiom). (11:2) Therefore an idea is the first element
constituting the human mind. (11:3) But not the idea of a non-existent
thing, for then II:viii.Coroll.) the page 91 idea itself cannot be said to
exist; it must therefore be
the idea of something actually existing.
(11:4) But
not of an infinite thing. (11:5)
For an infinite thing (I:xxi.,
xxii.),
must always necessarily exist; this would (by II:Ax.i.) involve an ab-
surdity. (11:6) Therefore the first element, which constitutes the actual
being of the human mind, is the idea of something actually existing.
Q.E.D.
Corollary.— (11:7)
Hence it follows, that the human
mind is part of the
Bk.XIV:2:413,
2:494,
2:564, 2:155, 2:3245; Bk.III:140,
218, 222. Hampshire32:83
infinite intellect
of G-D; thus when
we say, that the human mind per- Durant:63981
ceives this or that, we make the assertion, that G-d has this or that
idea, not in so far as he is infinite, but in so far as he is displayed
through the nature of the human mind, or in so far as
he constitutes Spinoza's
Religion
Bk.III:219,
225; Bk.XVIII:125p11c.
the essence
of the human mind; and when we say that G-d has this
or that idea, not only in so far as he constitutes the essence of the
human mind, but also in so far as he, simultaneously with the human
mind, has the further idea of another thing, we assert
that the human
<
Bk.XV:27272—E2:XXIV-XXIX:104,
E1:XVII(18)N:61. >
mind perceives a thing in
part or inadequately. Bk.III:223; Bk.XVIII:177p11c.
2P12,
13, 19, 22,
23, 30, 34,
38, 43, 43S;
3P28; 5P36.
<------- small
print, Logical
Index.
Note.—
(11:8) Here,
I doubt not, readers will come to a stand, and will
call to mind many things which will cause
them to hesitate; I there-
Bk.XVIII:192p11cs.
fore beg them to accompany me slowly, step
by step, and not to pro-
nounce on my statements, till they have read to the end.
Prop. XII. Bk.III:219,
221, 223; Bk.XVIII:142p11,12,
174p12.
Whatsoever comes to pass in the object
of the idea,
which constitutes the human
mind, must be perceived by
the human
mind, or there will necessarily
be an idea
in the human mind of the said occurrence.
That is, if the object of the idea
constitu- Waves
ting the human mind
be a body, nothing
can take place in that body without
being Bk.XIV:2:515
perceived by the
mind. 2P13,
14, 17, 17C,
19, 21, 22,
38;
< Bk.XV:27273—Bk.XV:27166-E2:VII(7):87
> 3P2S;
4P7; 5P4.
Bk.III:218.
Proof.— (12:1)
Whatsoever comes to pass in
the object of any idea,
the knowledge thereof is necessarily in G-D (II:ix.Coroll.), in so far
as he is considered as affected by the idea of the said object, that
is (II:xi.), in so far as he constitutes the mind of anything. (12:2) There-
fore, whatsoever takes place in the object constituting the idea of
the human mind, the knowledge thereof is necessarily in G-d, in
so far as he constitutes the nature of the human mind; that is (by
II:xi.Coroll.) the knowledge
of the said thing will necessarily
be Bk.XVIII:1542p12d; Bk.XIX:1464.
the mind, in other words the mind perceives
it.
page 92
Note.—
(12:3) This
proposition is also evident, and is more clearly to
[
Note ]
be understood from II:vii.,
which see.
Prop. XIII. Bk.XIB:236106,
107; Bk.XIV:2:2931; Bk.XVIII:362p13; 1262p13; 1552p11,13; Bk.XIX:1142.
<Bk.XV:27274—E2:XI:90,
E2:VII(7):87, E5:XX(18)N:258.>
The object of the
idea constituting
the Damasio:211
human mind is the
body, in other words
a certain mode
of extension which actu-
ally exists, and nothing else. Neff
LT:L66(64):398. Bk.XIV:2:52
2P15,
19, 21, 21S,
23, 24, 26,
29, 38, 39;
3P3, 10, GDE;
5P23, 29.
Proof.— (13:1)
If indeed the body
were not the object of the human
mind, the ideas of the modifications of the body would not be in G-D Added by JBY
(II:ix.Coroll.) in virtue of his constituting our mind, but in virtue of his
constituting the mind of something else; that is (Il:xi.Coroll.) the ideas
of the modifications of the body would not be in our mind: now (by
II.Ax.iv.) we
do possess the ideas of the modifications of the body.
(13:2) Therefore
the object of the idea constituting the human mind is
the body, and the body as it actually exists (Il:xi.). (3) Further, if there
were any other object of the idea constituting the mind besides body,
then, as nothing can exist from
which some effect does not follow
[
by 2P12 ]
(I:xxxvi.)
there would necessarily have to be
in our mind an idea,
which would be the effect of that other
object (II:xi.);
but (II:Ax.v.)
there is no such idea. (13:4)
Wherefore the object of our
mind is the
[
2P17S ]
body as it exists, and nothing else. Q.E.D. { L65(63):396,
Neff
TL:L66(64):398
}
.
Note
1.— (13:5) We
thus comprehend, not only that the human mind is
Bk.XIV:2:3242. Bk.III:127,
219.
united to the
body, but also the nature
of the union
between mind E2:Wolfson:2:535, 2:552.
and body. (6)
However, no one will be able
to grasp this adequately
Bk.XIX:2564.
{
the Worm, EL:L15(32):290
}
or distinctly, unless he first has adequate
knowledge of the nature of
our body. (7)
The propositions we have advanced hitherto have
been
<
Bk.XV:27275—
entirely general,
applying not more to men than to other individual
E2:XIII:92,
E2:D.VII:83, E3:LVII(7)N:170.
>
things,
all of which, though in different degrees,
are animated
Durant:63773
< Bk.VIII:45831—Bk.XIV::2:58,
E2:XIII(Ax.2):95 > 3P51S
("Animata"). (13:8)
For of everything there is necessarily
an idea in G-D, Hampshire32:65
of which G-D is the cause, in the same way as there is an idea of
the human body; thus whatever we have asserted of the idea of the
human body must necessarily also be asserted of the idea of
everything else. (13:9)
Still, on the other hand,
we cannot deny that
ideas, like objects, differ one from
the other, one being more Bk.XIV:2:601.
Bk.XIV:2:592.
excellent than another
and containing more reality, just as
the object
of one idea is more excellent than the object of another idea, and
contains more reality.
(13:10) Wherefore,
in order to determine, wherein the human page
93
mind differs from other things, and wherein it surpasses them, it is
necessary for us to know
the nature of its object, that is, of the
Bk.XIX:2551—E3:II(11):132,
E5:Prf.(5):244.
Bk.III:37.
human body. (13:11)
What this nature
is, I am not able here to explain,
Bk.III:220.
nor is it necessary
for the proof of what I advance, that I should
do so. (13:12) I will only say generally, that in proportion as any given
body is more fitted than others for doing
many actions or receiving
Bk.XVIII:139p13; Bk.XIX:22214.
many impressions at once, so
also is the mind, of which it is the
object, more fitted than others for forming many simultaneous per-
ceptions; and the more the
actions of one body depend on itself
Bk.III:225; Bk.XVIII:1262p13; Bk.XIX:2576.
alone, and the fewer other bodies concur
with it in action, the more
Bk.III:220—understanding
fitted is the mind of which it is the object
for distinct comprehension.
(13:13) We may thus recognize the superiority of one mind over others,
and may further see the cause, why we have only a very confused
knowledge of our body, and also many kindred questions, which I
will, in the following propositions, deduce from what has been ad-
vanced. (13:14) Wherefore I have thought it worth while to explain and
prove more strictly my present statements.
(13:15) In
order to do so,
{
Bk.XIV:2:65 }
I must premise a few propositions concerning the nature
of bodies.
Ethica II:
The Lemmas on Bodies - Ron
Bombardi
Bk.III:220;
Bk.XIV:2:63; Bk.XIX:20612.
<
Bk.XV:26633—E1:XXI:63
>
Axiom I. All bodies are
either in motion or at rest. 2P13L3.
Axiom II. Every
body is moved sometimes more slowly, sometimes
more
quickly.
{ a
little worm } , ]
Bk.XIII:193165
[
Lemma I. Bodies are distinguished from one another
in respect of
motion and rest, quickness and slowness,
and not in
Bk.XIV:2:671.
respect
of substance. <
Bk.XV:26315—E1:VIII:48
>
Proof.— The
first part of this proposition is, I take it, self-
evident. That
bodies are not distinguished
in respect of
substance,
is plain both from I:v. and
I:viii. It is brought
out
still more clearly from I: xv.,note. 2P13L3,
13L4.
Lemma II. All bodies agree in certain respects.
2P37, 38C;
5P4. Bk.XIV:2:672.
Bk.III:203—Neff
L66(64):399.
Proof.—
All
bodies agree in the fact, that they involve
the
conception of one and the same attribute (II:Def.i.). Bk.XIV:2:673,
4.
Further, in the fact that they may
be moved less or more
quickly,
and may be absolutely in motion
or at rest.
Lemma III. A body in motion or at rest must be determined
to motion
or
rest by another body, which other body has been de- Bk.XIV:2:678.
termined
to motion or rest by a third body, and that third
again
by a fourth, and so on to infinity. Bk.XIV:2:681.
Proof.—
Bodies
are individual things (II:Def.i.),
which
page
94 (Lemma
I.) are distinguished one from the other
in
respect to motion and rest; thus (I:xxviii.)
each must
necessarily
be determined to motion or rest by another
individual
thing, namely (II:vi.), by another body,
which
other
body is also (Ax.i.) in motion or at rest.
And this
body again
can only have been set in motion or caused
to
rest by being determined by a third body to motion or
rest.
This third body again by
a fourth,
and so on to
infinity.
Q.E.D. {
the Worm, EL:L15(32):290
} Bk.XVIII:33102/11.
Corollary.—
(13:16) Hence
it follows, that a body in motion keeps in
motion, until it is determined to a state of rest by some other body;
and a body at rest remains
so, until it is determined to a state of
Bk.XIV:2:2011.
motion by some
other body. (13:17)
This is indeed self-evident.
(13:18) For when I suppose, for instance, that a given body, A, is at
rest, and do not take into consideration other bodies in motion,
I cannot affirm anything concerning the body A, except that it is
at rest. (13:19) If it afterwards comes to pass that A is in motion, this
cannot have resulted from its having been at rest, for no other
consequence could have been involved
than its remaining at rest.
(13:20) If,
on the other hand, A be given in motion, we shall, so
long
as we only consider A, be unable to affirm anything concerning it,
except that it is in motion. (13:21) If A is subsequently found to be at
rest, this rest cannot be the result of A's previous motion, for such
motion can only have led to continued motion; the state of rest
therefore must have resulted from something, which was not in A,
namely, from an external cause
determining A to a state of rest.
Axiom I.— All modes,
wherein one body is affected by another body,
follow simultaneously
from the nature of the body affected
and
the body affecting; so that one
and the same body
may
be moved in different modes, according
to the dif-
ference
in the nature of the bodies moving it; on
the other
hand,
different bodies may be
moved in different modes
by
one and the same body. 2P16,
24; 3P17S, 51,
57.
Axiom II.— When a body in motion impinges on
another body at rest,
which it
is unable to move, it recoils, in order to continue
its
motion, and the angle made by the line of motion in the
recoil
and the plane of the body at rest,
whereon the
moving
body has impinged, will be
equal to the angle
formed
by the line of motion of incidence and the same
plane.
<
See Sketch Bk.XV:51. > 2P17C.
page
95
(13:22) So
far we have been speaking only of the most simple bodies,
Bk.XIV:2:654.
which are only distinguished one from the other by motion
and rest,
<
composite >
quickness and slowness. (23)
We now pass on to compound bodies.
Definition.— (13:24)
When any given bodies of the
same or different
magnitude are compelled by other bodies to remain in contact, or if
they be moved at the same or different rates of speed, so that their
mutual movements should preserve among themselves a certain
fixed relation, we say that such bodies are in union,
and that togeth-
<
E2:D.VII:83 >
er they compose one body or individual,
which is distinguished from Bk.XIV:2:686.
other bodies by this fact of union. { E2:XXIV(1):104 }
2P13L7, 24;
4P39.
Axiom III.— In proportion
as the parts of an individual, or a com-
pound body, are in contact over a greater or less superficies, they
will with greater or less difficulty admit of being moved from their
position; consequently the individual
will, with greater or less diffi-
shape—Bk.XIV:1:2463.
culty, be brought to
assume another form. Those bodies, whose
] areas
of their surfaces [
parts are in contact
over large superficies, are called hard;
those,
whose parts are in contact over small superficies,
are called soft;
those, whose parts are in motion among one another, are called Bk.XIV:2:687.
fluid.
Bk.XIX:20815.
Lemma IV. If
from a body or individual, compounded of several
bodies, certain bodies be separated, and if, at the same time, an
equal number of other bodies of the same nature take their place,
the individual will preserve its nature as before, without any change
in its actuality (forma).
2P13L5,
24.
Proof.— Bodies (Lemma
I.) are not distinguished in respect of sub-
stance: that which constitutes the actuality (formam) of an individual
consists (by the last Def.) in a union of bodies; but this union,
although there is a continual change of bodies, will (by our hypo-
thesis) be maintained; the individual, therefore, will retain its nature
as before, both in respect of substance and in respect of mode.
Q.E.D.
Lemma V. If the parts composing an individual
become greater or
less, but in such proportion, that they all preserve the same mutual
relations of motion and rest, the individual will still preserve its origin-
al nature, and its actuality will not be changed. 3Post1.
{
the Parts , EL:L15(32):290
}
Proof.— The same as for the last Lemma.
page 96
Lemma VI. If certain bodies composing
an individual be compelled
to change the motion, which they have in one direction, for motion
in another direction, but in such a manner, that they be able to con-
tinue their motions and their mutual communication in the same re-
lations as before, the individual will retain its own nature without any
change of its actuality. 2P13L7S.
Proof.— This proposition
is self-evident, for the individual is sup-
posed to retain all that, which, in its definition, we spoke of as its
actual being.
retains— Bk.XIV:2:692
Lemma VII. Furthermore,
the individual thus composed preserves
Bk.XIB:22480; Bk.XIV:1:2451,
2464.
its nature, whether it be, as
a whole, in motion or at rest,
whether it
Bk.XIV:2:693.
be moved in this or that direction;
so long as each part retains its
{ L65(63):396,
Neff
TL:L66(64):398
}
motion, and preserves its communication
with other parts as before.
3Post1 ^ proportion
of motion and rest—Bk.XIV:1:2461.
Proof.— This proposition is
evident from the definition of an individ-
ual prefixed to Lemma III.
Note 2.— (13:25) We
thus see, how a composite individual
may be affect-
<
Bk.XV:26634—E1:XXII:65.
>
ed in many different ways,
and preserve its nature notwithstanding.
(13:26) Thus far we have conceived an individual as composed of
bodies only distinguished one from the other in respect of motion
and rest, speed and slowness; that is, of bodies of the most simple
character. (27)
If, however, we now conceive another
individual com-
posed of several individuals of diverse natures,
we shall find that Bk.XIV:2:656,
691.
the number of ways in which it
can be affected, without losing its
{
the Parts , EL:L15(32):290
}
nature, will be greatly multiplied. (13:28)
Each of its parts would con-
sist of several bodies, and therefore (by Lemma vi.) each part would
admit, without change to its nature, of quicker or slower motion, and
would consequently be able to transmit its motions more quickly or
more slowly to the remaining parts. (29) If we further conceive a third
kind of individuals composed of individuals of this second kind, we
shall find that they may be affected in a still greater
number of ways
without changing their actuality. (13:30)
We may easily proceed thus to
[
Bk.VIII:46238—Bk.XIV:2:7,
69. ]; Bk.XVIII:33102/11.
<
Bk.XV:27276—Bk.XV:26634-E1:XXII:65,
EL:L15(32):290.
>
infinity,
and conceive the whole of Nature
as one individual,
whose
Bk.III:203.
parts, that is, all bodies,
vary in infinite ways, without any change in
{
Conservation
of energy - if not subscribed Britannica
Online. }
the individual
as a whole. (13:31)
I should feel bound to explain and
^ Bk.III:21028
demonstrate this point
at more length, if I were writing a special
treatise on body. (32) But I have already said page 97 that such is not
my object, I have only touched on the question, because it enables
me to prove easily that which I have in view.
POSTULATES. { Bk.XIV:2:7,
69. }
Damasio:210,
211
< Bk.XV:27277—E2:XVII(6)N:99,
Bk.XV:2629 on
E1:Axiom:46.
>
I. The human body is composed
of a number of individual parts,
of diverse nature, each
one of which is in itself extremely Bk.XIV:2:695.
complex. 2P15,
24; 3Post1, 17S.
II. Of
the individual parts composing the human body some are Bk.XIV:2:696.
fluid,
some soft, some hard.
III. The individual parts composing
the human body, and conse-
quently the human body itself, are affected
in a variety of ways Bk.XIV:2:701.
by external
bodies.
Bk.XIX:2171. 2P14,
28; 3P51; 4P39.
IV. The human body stands
in need for its preservation of a num-
ber of other bodies,
by which it is continually, so to speak, Bk.XIV:2:702.
regenerated. Bk.XIV:2:2423.
2P19;
4P18S, 39.
V. When the fluid part of
the human body is determined by an ex-
ternal body to impinge often on
another soft part, it changes the
surface
of the latter, and, as it were,
leaves the impression Bk.XIV:2:703.
thereupon of the
external body which impels it. 2P17C;
3Post2.
VI. The human
body can move external bodies,
and arrange them Bk.XIV:2:704.
in
a variety of ways. 2P14;
4P39.
Prop. XIV. Bk.XIV:2:72—XIV
- XLIX; Bk.III:220.
The human mind is capable of perceiving Hampshire32:108
a great number of things,
and is so in
proportion as its body
is capable of Damasio:212
receiving a great number of
impressions.
] EL:L15(32):290
[
3P11;
4P38.
Proof.— (14:1)
The human body (by Post.
iii. and vi.) is affected in very
Bk.XVIII:922p14d.
many ways by external bodies, and is capable in very many ways of
Bk.XIV:2:762.
affecting external bodies. (2)
But (II.xii.)
the human mind must perceive
happens—Bk.XIV:2:763.
all that takes place in the human body;
the human mind is, therefore,
capable of perceiving a great number of things, and is so in propor-
tion, &c. Q.E.D.
Prop. XV. Bk.III:220; Bk.XVIII:1962p15; Bk.XIX:201a,
2023.
Proof.— (15:1)
The idea constituting
the actual being of the human
mind is the idea of the body (II.xiii.), which (Post.i.) is composed of
a great number of complex individual parts. (15:2) But there is neces-
sarily in G-d the idea of each individual part whereof the body is
composed (II.viii.Coroll.); page 98 therefore (II.vii.), the idea of the
human body is composed of these numerous ideas of its compo-
nent parts. Q.E.D.
Prop. XVI. Bk.III:214,
222; Bk.XVIII:1281.
Proof.— (16:1)
All the modes, in which
any given body is affected,
follow from the nature of the body affected, and also
from the nature
Bk.XIX:1478.
of the affecting body (by Ax.i.
after the Coroll. of Lemma iii.), where-
fore their idea also necessarily (by I.Ax.iv.) involves the nature of
both bodies; therefore, the idea of every mode, in which the human
body is affected by external bodies, involves the nature of the
human body and of the external body. Q.E.D.
Corollary I.— (16:2)
Hence it follows,
first, that the human mind
perceives the nature of a variety
of bodies, together with the
Bk.III:222.
nature of its own.
2P17,
26, 47.
Corollary II.—
(16:3) It
follows, secondly, that the ideas,
which we
Bk.XIX:1477,8.
have of external
bodies, indicate rather the constitution
of our own Hampshire:135—affectus
Bk.III:224.
body than the nature of external
bodies. (16:4)
I have amply illustra-
ted this in the Appendix
to Part I. 2P17S;
3P14, 18,
GDE; 4P1S,
9; 5P34.
Prop. XVII. Bk.III:221;
Bk.XVIII:158p17;
163p17.
Bk.XIV:2:1944.
If the human body is affected
in a
manner which involves the nature
of any external body, the human
contemplate—Bk.XIV:2:792.
mind will regard the said external
body as actually existing, or as
present to itself, until the human
body be affected in such a way, as
to exclude the existence or
the
presence of the said external body.
^ Bk.III:222. 2P17C,
44S, 47; 3P11S,
12, 13, 18,
18S1,
3P19,
25, 28; 4P1S,
9; 5P7.
{My paraphrase
of 2P17:
If I see, what I think is a beautiful woman, I
will fantasize about her,
until I see a more beautiful woman. I will then forget the first woman.}
Proof.— (17:1)
This proposition is self-evident,
for so long as the
human body continues to be thus affected,
so long will the human
{ affections }
mind (II.xii.)
regard this modification
of the body—that is (by the
last Prop.), it will have the idea of the mode as actually existing,
and this idea involves the nature of the external body. (17:2) In other
words, it will have the idea which does not exclude, but postulates
the existence or presence of the nature of the external body; there-
fore the mind (by II:xvi., Coroll. i.) will regard the external body as
actually existing, until it is affected, &c.
Q.E.D.
Bk.III:222.
Corollary.—
(17:3) The
mind is able to regard as present external
bodies, by which the human body has once been affected, even
though they be no longer in existence or present.
2P17S,
18, 40S1, 44S,
49S; 3P18, 25,
47S; 4P13.
page 99
Proof.—
(17:4) When
external bodies determine the fluid parts of the
human body, so that they often impinge on the softer parts, they
change the surface of the last named (Post.V.);
hence (Ax.ii., after
]
reflected [
Coroll. of Lemma iii.) they are
refracted therefrom in a different
manner from that which they followed before such change; and,
further, when afterwards they impinge on the new
surfaces by their
own spontaneous movement, they will
be refracted in the same
manner, as though they had been impelled towards those surfaces
by external bodies; consequently, they will, while they continue to
be thus refracted, affect the
human body in the same manner,
whereof the mind (II:xii.) will again take
cognizance—that is (II:xvii.),
the mind will again regard the external body as present, and will do
so, as often as the fluid parts of the human body impinge on the
aforesaid surfaces by their own spontaneous motion. (17:5) Where-
fore, although the external bodies, by which the human body has
once been affected, be no longer in existence, the mind will never-
theless regard them as present, as often as this action of the body
is repeated. Q.E.D.
Note.— (17:6)
We thus see how it comes about,
as is often the case,
that we regard as present things which are not. (17:6a) It is possible
that the same result may be brought about by other causes; but I
think it suffices for me here to have indicated one possible explana-
tion, just as well as if I had pointed out the true cause. (17:7) Indeed,
I do not think I am very far from the truth, for all my assumptions are
based on postulates,
which rest, almost without exception, on ex-
<
Bk.XV:27278—E2:XL(19)N2:113.
doubted. >
perience, that cannot
be controverted by those who have shown,
3Post2 3P11S;
5P21
as we have, that the human body,
as we feel it, exists (Coroll. after
[
2P17C ]
II:xiii.). (17:8) Furthermore
(II:vii.Coroll.,
II:xvi.Coroll.ii.),
we clearly under-
stand what is the difference between the idea, say,
of Peter, which
<
Bk.XV:27379—Bk.XV:27166
on
E2:VII(7)N:87.
>
constitutes the essence
of Peter's mind, and the idea
of the said
Bk.III:220.
Peter, which is in another man,
say, Paul. (17:9)
The former directly
answers to the essence of Peter's
own body, and only implies exist-
Bk.XIX:1477.
ence so long as Peter
exists; the latter indicates rather the disposi-
tion of Paul's body than the nature of Peter, and, therefore, while
this disposition of
Paul's body lasts, Paul's mind will regard Peter
2P26S;
3P12
as present to itself, even though he no longer exists.
(17:10) Further,
<
Bk.XV:27380—Bk.XV:283165
on
E5:I:247.
>
to retain the page
100 usual
phraseology, the modifications
of the
human body, of which the ideas
represent external bodies as pres-
<
Bk.XV:283165
on
E5:I:247.
>
ent to us, we will call the images
of things, though they do not recall Bk.XIV:2:854.
^ 2P40S1;
3P12, 27,
56; 4P9; 5P34
the figure of things. (17:11)
When the mind regards bodies in this fash-
] E2:Wolfson:2720
[ 2P35S,
49S.
ion, we
say that it imagines. (17:12)
I will here draw attention to the
^ Bk.III:222.
fact, in order to indicate
where error lies, that the imaginations of
Bk.XIX:22419.
the mind, looked at in themselves,
do not contain error. (17:13)
The
mind does not err in the mere act
of imagining, but only in so far as
Bk.III:224.
it is
regarded as being without the idea,
which excludes the exist-
ence of such things as it imagines to be present to it. (17:14) If the
mind, while imagining non-existent things as present to it, is at the
same time conscious that they do not really exist, this
power of ima-
Bk.XIX:15017—virtue.
gination must be set down to the efficacy
of its nature, and not to a
fault, especially if this faculty
of imagination depend solely on its
own nature—that is (I:Def.vii.),
if this faculty of imagination be free.
2P26S, 35S, 40S1,
49S; 3Post2, 11S,
12, 27,
56; 4P9; 5P21,
34.
Prop. XVIII. Bk.III:222;
Bk.XIV:2:2141; Bk.XVIII:2102p18,s.
Proof.— (18:1)
The mind (II:xvii.Coroll.)
imagines any given body, be-
{
EMOTION } { to
LOVE or HATE
- need }
cause the human body is affected and disposed
by the impressions
from an external body, in the same manner
as it is affected when
certain of its parts are acted on by the said external body; but (by
our hypothesis) the body was then so disposed, that the mind ima-
gined two bodies at once; therefore, it will also in the second case
imagine two bodies at once, and the mind, when it imagines one,
will straightway remember the other.
Q.E.D.
Bk.XV:27381; Bk.XIX:14913. 2P40S2; 3P52;
4P13; 5P21
Note.—
(18:2) We
now clearly see what Memory
is. (18:2a)
It is simply a
]
linking [ ^
Bk.XIV:1:xxi.
certain association of
ideas involving the nature
of things outside
Bk.III:222,
228.
^
Bk.XIX:1477.
the human body, which association
arises in the mind according to
linkage ]
affections [
the order and association of the
modifications
(affectiones) of the Hampshire32:91
human body. (18:3)
I say, first, it is an association of those
ideas only,
3P11S
which involve the
nature of things outside the human body: not of
ideas which answer to the nature of the said things: ideas of the
modifications of the human body are, strictly speaking (II:xvi.), those
which involve the nature both of the human body and of external
bodies. (18:4) I say secondly, that this association page 101 arises ac-
cording to the order and association of the modifications of the Hampshire32:91
human body, in order to distinguish it from that association of ideas,
which arises from the order of the intellect, whereby the mind per-
ceives things through their primary causes,
and which is in all men
Bk.III:229.
the same. (18:5)
And hence we can further clearly
understand, why
3PDe4
the mind from the
thought of one thing, should straightway
arrive
at the thought of another thing, which has no similarity with the first;
for instance, from the thought of the word pomum (an apple), a Ro-
man would straightway arrive at the thought of the fruit apple, which
has no similitude with the articulate sound in question, nor anything
in common with it, except that the body of the man has often been
affected by these two things; that is, that the man has often heard
the word pomum, while he was looking at the fruit; similarly every
man will go on from one thought to another, according as his habit
has ordered the images of things in his body. (18:6) For a soldier, for
instance, when he sees the tracks of a horse in sand, will at once
pass from the thought of a horse to the thought of a horseman, and
thence to the thought of war, &c.; while a countryman will proceed
from the thought of a horse to the thought of a plough, a field, &c.
(18:7) Thus
every man will follow this or that train of thought, accord-
Bk.XIX:2893.
ing as
he has been in the habit of conjoining and associating
the
{ ^
analyze,
instead }
mental images of things
in this or that manner.
2P40S2;
3P11S, 52,
De4; 4P13;
5P21.
Prop. XIX. Bk.III:219,
222; Bk.XIX:1465.
Proof.— (19:1)
The human mind is the very
idea or knowledge of the
Bk.III:223.
human body (II:xiii.),
which (II.ix.) is in G-d,
in so far as he is regard-
ed as affected by another idea of a particular thing actually existing:
or, inasmuch as (Post.iv.) the human body stands in need of very
many bodies whereby it is, as it were, continually regenerated; and
the order and connection of ideas is the same as the order and con-
nection of causes (II:vii.); this idea will therefore be in G-d, in so far
as he is regarded as affected by the ideas
of very many particular
things. (19:2)Thus
G-d has the idea of the human body, or knows the
human body, in so far as he is affected by very many other ideas,
and not in page 102 so far as he constitutes the nature of the human
mind; that is (by II.xi.Coroll.),
the human mind does not know the
human body. (19:3) But
the ideas of the modifications of body are in
G-d, in so far
as he constitutes the nature of
the human mind, or
]
affection [
the human mind perceives
those modifications
(II:xii.), and conse-
quently (II:xvi.) the human body itself, and as actually existing; there-
fore the mind perceives thus far only the human body.
Q.E.D.
Bk.III:222.
Prop. XX. Bk.III:223; Bk.XII:1791; Bk.XVIII:1302p9c,20,24.
The idea or knowledge of the
human
mind is also in G-D,
following in G-D
in the same manner, and being referred
to G-D in the same manner, as the idea
or knowledge of the human
body. Analogy
{Paraphrased: How the
mind works is just as knowable
as how the body works.
^
Hypothesized: Cash value—sets
logic for continuous neurological studies.}
{See Notes 10 & 11, E2:XLIII(3):114.} 2P22,
23, 43, 43S.
Proof.—
(20:1) Thought
is an attribute
of G-D (II.i.);
therefore (II.iii.)
there must necessarily be in G-D
the idea both of thought itself and
]
affections [
of all its modifications,
consequently also of the human mind (II.xi.).
(20:2) Further, this idea or knowledge of the mind does not follow from
G-d, in so far as he is infinite,
but in so far as he is affected by an-
]
particular [
other idea of an individual thing (II.ix.).
(20:3) But
(II.vii.) the order and
connection of ideas is the same as the order and connection of
causes; therefore
this idea or knowledge of the mind is in G-d and
]
related [
is referred to G-D, in the same
manner as the idea or knowledge of
the body. Q.E.D.
Prop. XXI. Bk.III:223.
Proof.— (21:1) That
the mind is united to the body we have shown
from the fact, that the body is the object of the mind (II:xii. and xiii.);
and so for the same reason the idea of the mind must be united
with its object, that is, with the mind in the same manner as the
mind is united to the body. Q.E.D.
Note.— (21:2)
This proposition
is comprehended much more clearly
from what we said in the note to II:vii. (21:3) We
there showed that the
Bk.III:57
idea of body and body, that is,
mind and body (II.xiii.),
are one and
{ E5:Endnote
20:20 }; Bk.XIX:1143.
the same individual conceived
now under the attribute of thought,
now under the attribute of extension; wherefore the idea of the mind
and the mind itself are one and the same thing, which is conceived
under one and the same attribute,
namely, thought. (21:4)
The idea of
the mind, I repeat, and the mind itself are in
G-D by the same neces-
sity and follow from him from the same power of thinking. (5)
Strictly
speaking, the idea of the mind, page
103
that is, the idea of an idea,
]
form [
is nothing but the distinctive
quality (forma) of the idea in so far as
Bk.III:223. Bk.III:83—relation
to its; Bk.XIX:13110.
it is conceived as
a mode of thought without reference
to the object;
if a man knows anything, he, by that very fact, knows that he knows
it, and at the same time knows that he knows that he knows it, and
so on to infinity. (21:6) But
I will treat of this hereafter. 2P43S;
4P8; 5P3.
Prop. XXII. Bk.XVIII:3542p22;
Bk.XIX:15016.
]
affections [
Proof.—
(22:1)The ideas of the ideas
of modifications follow in G-d in
]
related [
the same manner, and are referred to G-d in the same manner, as
the ideas of the said modifications. (22:2) This is proved in the same
way as II:xx. (22:3)
But the ideas of the modifications of the body
are
]
E2:XI(7)c [
in the human mind (II:xii.),
that is, in G-d, in so far as he constitutes
^
[ 2P11C
]
the essence of the human
mind; therefore the ideas of these ideas
will be in G-d, in so far as he has the knowledge or idea of the hu-
man mind, that is (II:xxi.),
they will be in the human mind itself, which
]
affections [
therefore perceives not only the modifications
of the body, but also
the ideas of such modifications.
Q.E.D.
Prop. XXIII. Bk.III:223; Bk.XVIII:1902p23;
Bk.XIX:1465; 15016.
.
Proof.—
(23:1) The idea
or knowledge of the mind (II:xx.)
follows in
]
related [
G-d
in the same manner, and is referred to G-d in the same
man-
ner, as the idea or knowledge of the body. (23:2) But since (II:xix.) the
human mind does not know the human body itself, that is (II:xi.
Coroll.), since the knowledge of the human body is not referred to
G-d, in so far as he constitutes the nature of the human mind;
therefore, neither is the knowledge of the mind referred to G-d, in
so far as he constitutes the essence of the human mind; therefore
(by the same Coroll.II:xi.),
the human mind thus far has no know-
ledge of itself. (23:3) Further
the ideas of the modifications,
whereby
the body is affected, involve the nature of the human body itself
(II:xvi.), that is (II:xiii.), they agree with the nature of the mind; where-
fore the knowledge of these ideas necessarily involves knowledge
of the mind; but (by the last
Prop.) the knowledge of these ideas is
]
to this extent [
in the human
mind itself; wherefore the human mind thus far only
has knowledge of itself. Q.E.D.
page
104
Prop. XXIV. Bk.III:223; Bk.XVIII:1302p9c,20,24; Bk.XIX:14811.
The human mind does not involve
an adequate knowledge
of the parts
composing the human body. Bk.III:222.
E2:2P24-32.
< Bk.XV:27382—E2:XXIX(2)C:106,
E2:D.IV:82, E2:XXIX(5)N:106,
E2:XI(7)C:91. Bk.XV:289226—TEI:[73:5]:28.
>
{
Bk.XIV:2:98—TRUTH.}
2P28,
36, 43S.
Proof.— (24:1)
The parts composing the human body
do not belong
to the essence of that body, except in so far as they communicate
their motions to one another in a certain fixed relation (Def. after
Lemma.iii), not in so far
as they can be regarded as individuals with-
out relation to the human body. (24:2)The
parts of the human body
are highly complex individuals (Post.i.),
whose parts (Lemma.iv.)
]
impairing [
can be separated from the human body
without in anyway destroy-
]
form
[
ing the nature and distinctive quality of the
latter, and they can com-
municate their motions (Ax.i., after Lemma iii.) to other bodies in an-
other relation; therefore (II:iii.) the idea or knowledge of each part
will be in G-d, inasmuch (II:ix.) as He is regarded as affected by an-
other idea of a particular thing, which particular thing
is prior in the
order of Nature to the aforesaid
part (II.vii.). (24:3) We
may affirm the
same thing of each part of each individual composing
the human
body; therefore, the knowledge of each part composing the human
body is in G-d, in so far as he is affected by very many ideas of
things, and not in so far as he has the idea of the human body only,
in other words, the idea which constitutes the nature of the human
mind (II:xiii.);
therefore (II:xi.Coroll.), the
human mind does not
involve an adequate knowledge ]
of the component parts [ of
the human
body. Q.E.D.
Prop. XXV. Bk.III:222,
223.
The idea of each modification
of the
human body does not involve
an Leads
to subjectivity
adequate
knowledge of the external
E2:2P24-32.
body.
2P26C,
27, 28, 29C,
38, 43S.
[ 2P16
]
]
affection [
Proof.— (25:1)
We have shown that the
idea of a modification of the
human body involves the nature of an
external body, in so far as
]
E2:XVI:98
[
that external body conditions
the human body in a given manner.
(25:2) But,
in so far as the external body is an
individual, which has no
]
related [
reference to the human body,
the knowledge or idea thereof is in
Bk.III:223.
G-d (II:ix.),
in so far as G-d is regarded as affected
by the idea of a
further thing, which (II:vii.)
is naturally prior to the said external body.
{ as
it affects man, }
(25:3) Wherefore
an adequate knowledge of the external
body ^ is not
in G-d, in so far as
He has the idea of the modification of the
human
{
because G-D
has no emotions , C:4.4
} G-D
at 100% °P
body ^ ; in other
words, the idea of the modification of the human
{ necessarily,
}
body does not page
105 involve ^ a
{ human's
} adequate
knowledge
of the external body. Q.E.D.
Prop. XXVI. Bk.III:222;
Bk.XVIII:157p26; Bk.XIX:1465.
Proof.— (26:1) If
the human body is in no way affected by a given ex-
ternal body, then (II:vii.)
neither is the idea of the human body, in
]
E2:XIII:92
[ [
by 2P13 ]
other words, the human
mind, affected in any way by the idea of the
existence of the said external body, nor does it any manner perceive
its existence. (26:2) But, in so far as the human body is affected in
any way by a given external body, thus far (II:xvi. and Coroll.) it
perceives that external body. Q.E.D.
] E2:Shirley:2720
[
Corollary.—
(26:3) In so far
as the human mind imagines an external E2:2P24-32.
Bk.XVIII:178p26c.
body, it has not
an adequate knowledge thereof.
2P43S.
Proof.—
(26:4) When the human
mind regards external bodies through
]
affections [
the ideas
of the modifications
of its own body, we say that it ima-
[
cannot in any other way (by 2P26) ]
gines (see II:xvii.note);
now the mind ^
can only imagine external
bodies as actually existing. (26:5) Therefore (by II:xxv.), in so far as the
mind imagines external bodies, it has not an adequate knowledge of
them. Q.E.D.
Prop. XXVII. Bk.XIX:14811.
The idea of each modifications of
the
human body does
not involve an
adequate
knowledge of the human E2:2P24-32.
body itself.
2P29,
29C, 38, 43S;
3P30.
]
affectiones [
Proof.—
(27:1) Every idea of a modifications of
the human body involves
the nature of the human body, in so far as the human body is regard-
ed as affected in a given manner (II:xvi.). (27:2) But, inasmuch as the
human body is an individual which may be affected in many other
ways, the idea of the said modification, &c. [
See 2P25D ]
Q.E.D.
Prop. XXVIII. Bk.XVIII:189p28.
The ideas
of the modifications
of Spinozistic
Ideas
the human body, in so
far as they
have reference only
to the human
mind, are not
clear and distinct,
E2:2P24-32.
but confused.
2P29C,
36, 43S.
< Parkinson:27383—E2:XXVIII(3):106,
TEI:[62]:23,
TEI:[73]:27.
>
Proof.—
(28:1) The ideas of
the modifications of the human body,
involve the nature both of the human body and of external bodies
(II:xvi.);
they must involve the nature not only of the human body but
Bk.XIX:2171.
also of its parts; for the modifications
are modes (Post.iii.),
whereby
the parts of the human body, and, consequently, the human
body as
a whole are affected. (28:2) But
(by II:xxiv, xxv)
the adequate knowledge
of external bodies,
as also of the parts composing
page 106
the
human body, is not
in G-D, in
so far as He is regarded as affected by
Bk.III:176.
the human mind, but in so far as He
is regarded as affected by other
ideas. (28:3)
These ideas of modifications,
in so far as they are
referred to the human mind alone, are
as consequences without
Real and Unreal Waves
{ support }; Bk.XIX:14810. <Parkinson:27484—E2:XXVIII:105,
E2:XXXVIII:109,
TEI:[73]:27.>
premisses, in other words, confused
ideas. Q.E.D.
Note.— (28:4)
The idea which
constitutes the nature of the human
mind is, in the same manner, proved not to be, when considered in E2:2P24-32.
itself alone, clear
and distinct; as also is the case with the idea of
]
affection [
the human mind, and the ideas of the ideas of the modifications
of
]
related [
the human body, in so far as they are
referred to the mind only, as
everyone may easily see. {
sic - Somewhat clearer in Bk.VII:84
}
2P29C,
43S.
Prop. XXIX. Bk.XVIII:189p29.
]
affection [
Proof.— (29:1)
The idea of a modification of the human
body (II.xxvii.)
<
Bk.XV:27382—E2:XXIV:104
>
does not involve
an adequate knowledge of the said
body, in other
words, does not adequately express its nature; that is
(II:xiii.) it does
Bk.XVIII:177p29d.
not agree with the nature of the mind adequately;
therefore (I:Ax.vi.)
the idea of this idea does not adequately express the nature of the
human mind, or does not involve an adequate
knowledge thereof.
Corollary.— (29:2)
Hence it follows that the human mind, when
it per- E2:2P24-32.
ceives things after the common order of nature, has not
an adequate
Bk.III:224,
228—mutilated;
Bk.XVIII:119p29c; Bk.XX:23576.
but only a confused and fragmentary knowledge
of itself, of its own
body, and of external bodies. (3)
For the mind does not know itself,
except in so far
as it perceives the ideas
of the modifications
of body
(II. xxiii.). (29:4)
It only perceives its own body (II:xix.)
through the ideas
Bk.III:225. { things }
[ by 2P26 ]
of the modifications,
and only perceives external bodies
through the
same means; thus, in so far as it has such ideas of modification, it
has not an adequate
knowledge of itself (II:xxix.), nor
of its own body
Bk.XIV:2:1081—mutilated.
(II:xxvii.),
nor of external bodies (II:xxv.), but
only a fragmentary and
Bk.XII:2522—judgment {
and thus prone to error,
alcohol abuse. }
confused knowledge
thereof ^ (II:xxviii.
and note.) Q.E.D.
{
^ E3:GN(2):185
} 2P40S2,
43S; 3P3.
Bk.III:59,127.
Note.—
(29:5)
I say expressly, that the mind has
not an adequate
but E2:2P24-32.
only a confused
knowledge of itself, its own body, and of external
bodies, whenever it perceives things after
the common order of na-
< Bk.XV:27485—E2:XXIV:104,
E2:XXXVII -XL:109,
E4:IV(9)C:194. >
ture; that is, whenever it is determined
page 107
from without,
namely,
{
passive emotion }
by the fortuitous
play of circumstance, to regard this or that; not at
^ Bk.III:224,
225; Bk.XIX:2387.
such times as it is determined from within,
that is, by the fact of re-
Bk.XIV:2:1082—simultaneously.
garding several things at once,
to understand their points of agree-
ment, difference, and contrast.
(29:6) Whenever
it is determined in
{
active emotion }
anywise from within,
it regards things clearly and distinctly,
as I will
Bk.III:225; Bk.XIX:27610.
show below.
{ E3:GN2
} 2P43S.
Prop. XXX.
We can only
have a very inadequate
knowledge of
the duration of our body. E2:2P24-32.
Bk.III:222.
2P31,
43S.
Proof.—
(30:1)
The duration
of our body does not depend on its
Bk.XVIII:2362p30d.
essence (II:Ax.i.), nor on
the absolute nature of G-D (I:xxi).
(30:2) But
]
determined [
(I:xxviii.)
is conditioned to exist and operate by causes,
which in turn
are conditioned to exist and operate in a fixed and definite
relation
by other causes, these last again being conditioned by
others, and
Bk.XIV:2:1083.
so on to infinity. (30:3) The
duration of our body therefore depends on
]
structure of the universe [
the common order of nature,
or the constitution of things. (30:4)
Now,
however a thing may be constituted, the adequate knowledge of
that thing is in God, in so far as He has the ideas of all things, and
not in so far as he has the idea of the human body only. (II:ix.Coroll.).
(30:5) Wherefore the knowledge of the duration of our body is in G-d
very inadequate, in so far as he is only regarded as constituting the
nature of the human mind; that is (II:xi.Coroll.), this knowledge is
very inadequate
in our mind. Q.E.D.
Prop. XXXI.
[
singular ]
Proof.—
(31:1) Every particular
thing, like the human body, must be
]
determined [
conditioned by
another particular thing to exist and operate
in a
fixed and definite relation; this other particular thing must likewise
be conditioned by a third, and so on to infinity. (I:xxviii.) (31:2) As we
have shown in the foregoing proposition, from this common proper-
ty of particular things, we have only a very inadequate knowledge
of the duration of our body; we must draw a similar conclusion with
regard to the duration of particular things, namely, that we can only
have a very inadequate knowledge
of the duration thereof. Q.E.D.
Corollary.— (31:3)
Hence it follows that all particular things are
contin-
Bk.XIV:2:1091. ] knowledge
[
gent and perishable. (4) For
we can have no adequate page
108 idea E2:2P24-32.
of their duration (by the last
Prop.), and this is what we must under-
Bk.III:229.
stand by the contingency
and perishableness of things. (I:xxxiii.,
Bk.XVIII:1212p31c.
Note i.)
(31:5)
For (I:xxix.),
except in this sense, nothing is contingent.
2P43S;
3De15.
Prop. XXXII. Bk.III:224,
225; Bk.XVIII:1682p32.
Proof.— (32:1)
All ideas which are in G-D agree in every
respect with
G-D at 100% °P
their objects (II:vii.Coroll.), therefore (I:Ax.vi.) they are all true. ^
Q.E.D. {
Only objective ideas are in G-D when G-D
is at 100% °P.
E3:GN(2)n } <
Added by JBY
Prop. XXXIII. Bk.XVIII:168p33; Bk.XIX:14914.
{adequate—clear
and distinct}
There is nothing positive
in ideas,
which causes them to be called false. E2:Wolfson:2:110.
{
Bk.XIV:2:101—TEI:L64(60):395.
Example: POSIT } Bk.III:224.
^
2P35,
43S; 4P1.
Proof.— (33:1)
If this be denied, conceive, if possible,
a positive mode
Bk.XVIII:172p33d.
] form
of error or [
of thinking, which should
constitute the distinctive quality of false-
Bk.XIX:1317. ^
hood. (33:2)
Such a mode of thinking cannot be in G-D (II:xxxii.);
exter-
nal to G-D it cannot
be or be conceived (I:xv.). (3)
Therefore there is
Calculus:ALL
{
adequate } ]
whereby they can be called false.
[
nothing positive in ideas
which causes them to be called false.
Q.E.D.
Prop. XXXIV. Bk.III:225; Bk.XVIII:125p34,36,38,40,43.
Proof.— (34:1)
When we say that an idea in
us is adequate and per-
fect, we say, in other words (II:xi.Coroll.), that the idea is adequate
and perfect in G-D, in so far as he constitutes the essence of our
mind; consequently (II:xxxii.), we say that such an idea is true.
Q.E.D.
Prop. XXXV. Bk.III:187,
224; Bk.XIB:241125; Bk.XVIII:142p35,
168p35;
Bk.XIX:1489.
< Bk.XV:27486—E2:XLIII:114
>
{
lacking }
Falsity consists in the privation E2:Parkinson:27597
of knowledge,
which inadequate,
Calculus:Reality
fragmentary, or confused
ideas
involve. < TEI:[110]:40
> 2P41,
43S, 49S; 4P1.
{
adequate }
Proof.— (35:1)
There is nothing positive
in ideas, which causes them
E2:Wolfson:2:110
Bk.XIV:2:1144. ]
absolute [
to be called false (II:xxxiii);
but falsity cannot consist in simple priva-
tion (for minds,
not bodies, are said to err and
to be mistaken),
Bk.III:224.
neither can it consist in absolute ignorance,
for ignorance and error
{
lacking }
are not identical; wherefore it consists in
the privation of knowledge,
which inadequate, fragmentary, or confused
ideas involve. Q.E.D.
> falsity—Bk.III:187
<
Note.—
(35:2) In
the note to II:xvii. I explained how error
consists in the
{
lacking }; Bk.XIX:14614.
Bk.XIV:1:4397—Bk.VIII:87[8]
or sin. ^
privation of knowledge, but in order to throw more light
on the sub-
> ^ defect
<
]
deceived [
ject I will give an example.
(35:3)
For instance, men are mistaken in
Wegner:28
Bk.XIV:2:1165. Bk.III:224.
thinking themselves free;
their opinion is made up of consciousness
Mark Twain
of their own actions, and ignorance of the causes
by which they are
]
determined [
conditioned. (35:4)
Their idea of freedom,
therefore, is simply page
109
their ignorance of any cause for their actions. (5) As for their saying
that human actions depend on the will, this is a mere phrase without
any idea to correspond thereto. (6)
What the will is, and how it moves
{Descartes}
the body, they none of them know; those
who boast of such know-
] make
up stories of [ Bk.XIV:2:1165.
ledge, and feign dwellings and habitations
for the soul, are wont to Pineal
Gland
provoke either laughter or disgust. (35:7)
So, again, when we look at
Bk.XIV:2:1163.
the sun, we imagine
that it is distant from us about two hundred feet;
] seeing [
this error does not lie solely in this fancy, but in the fact
that, while
we thus imagine, we do not
know the sun's true distance or the
Bk.XIX:14812.
cause
of the fancy. (35:8)
For although we afterwards learn,
that the
sun is distant from us more than six hundred of the earth's diameters,
we none the less shall fancy it to be near; for we do not imagine the
sun as near us, because we are ignorant of its true distance, but
because the modification of our body involves the essence of the
sun, in so far as our said body is affected thereby.
2P43S, 49S;
3De27; 4P1S;
5P5.
Prop. XXXVI. Bk.III:225; Bk.XIV:2:117;
Bk.XVIII:12534,
36, 38, 40, 43.
Inadequate and confused
ideas G-D
at <100% °P
follow by the
same necessity,
as adequate
or clear and distinct G-D
at 100% °P
ideas.
Proof.— (36:1)
All ideas are in
G-D (I:xv.), and in so far as they
are
]
related [ Bk.XIX:1452.
referred
to G-D are true (II:xxxii.)
and (II:vii.Coroll.) adequate; there-
fore there are no ideas confused or inadequate,
except in respect
finite,
a mode—Bk.III:225.
to a particular mind (cf. II:xxiv.
and xxviii.); therefore all ideas, wheth-
[
Cor. ]
er adequate or inadequate,
follow by the same necessity (II:vi.).
Q.E.D.
Prop. XXXVII. Bk.III:225,
226; Bk.XVIII:3672p37;
Bk.XIX:2769,
30610.
That which is common
to all G-D
(cf. Lemma.II.
above), and which
is equally in a part
and in the Hampshire32:95—common
notions
whole, does not constitute
the
essence
of any particular thing. Parts
can become extinct.
Bk.XIV:2:1261—individual.
]
common notions—Bk.XIII:6814—E2:XXXVII-XL:109.
[ 2P38C,
44C2.
Proof.— (37:1)
If this be denied,
conceive, if possible, that it consti-
tutes the essence of some particular thing; for instance, the es-
sence of B. (37:2) Then (II:Def.ii.) it cannot without B either exist or be
conceived; but this is against our hypothesis. (37:3) Therefore it does
not appertain to B's essence, nor does it constitute the essence of
any particular thing. Q.E.D.
Prop. XXXVllI. Bk.III:226; Bk.XVIII:183fp38;
Bk.XIX:29517,
30713.
Proof.— (38:1)
Let A be something, which
is common to all bodies,
and which is equally present in the part of any given body and in
the whole. (1a) I
say A cannot be conceived page
110 except adequate-
ly. (38:2)
For the idea
thereof in G-D will necessarily be adequate
(II:vii.
G-D
at 100% °P
Coroll.), both in so far as G-D has the idea of the human body, and
also in so far as he has the idea of the modifications of the human
body, which (II:xvi., xxv., xxvii.) involve in part the nature of the hu-
man body and the nature of external bodies; that is (II:xii., xiii.), the
idea in G-D will necessarily be adequate, both in so far as he con- Idea of G-D
stitutes the human mind, and in so far
as he has the ideas, which
Bk.III:141
are in the human mind.
(38:3)
Therefore the mind (II:xi.Coroll.)
neces-
sarily perceives A adequately, and has this adequate perception,
both in so far as it perceives itself, and in so far as it perceives its
own or any external body, nor can A be conceived in any other man-
ner. Q.E.D.
Corollary.— (38:4)
Hence it follows
that there are certain ideas or
< Bk.XV:27488—E2:XL(3)N1:111,
E2:XXXVII:109,
:46. >
notions
common to all men; for (by
Lemma.ii.) all bodies agree in Bk.XIV:2:1247.
^ Bk.III:56,127,
228. ^