Circulated - 1673
Posthumously Published
- 1677.
Introduction—Purpose
- Spinozistic Ideas
- Mark Twain & Spinoza
The Ethics:
Part I - Part II - Part
III - Part IV - Part
V
MiniCD of Entire Site
- Spinozistic Glossary and Index
Durant's
Tribute - Graetz's Censure
- Philosophy/Religion
- Link and Endnote Search
Browser Notes—Use
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1. The text
is the 1883 translation of the "The
Ethics" by R. H. M.
Elwes,
as printed by Dover Publications in Book
I. See note above.
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 } Metaphors,
Links,
G-D {Spelling
change not consistent; too many of them.}
All
comments in right-hand margin are by JBY unless noted.
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 HTML linearly 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
Durant's
Story
to
one thread at a time,
this Web Site will be very convoluted,
Tickle
the Fancy
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 E1:Bk.III:200
In "The
Ethics - Part 1; Concerning G-D",
Spinoza spells out the
E5:Note 10
hypothesis that all
things, animate, inanimate, and even the concept
of G-D,
are bound into one grand "Organic Interdependence
of Parts".
From this hypothesis
it logically follows that obedience
to the Golden
Spinozistic
Idea
Rule
is an act of self-interest and
not altruism. Remember this and all
his
puzzling sayings, for example E1:Def.III
& VI:45, E1:I:46,
and
E1:XIV:54,become
more, if not completely, understandable.
See Posit:
1D6 = ONE;
and look for the Cash
Value.
Important.
Burden of E1
11. To help further understand
many of the Propositions and Ideas,
{ Examples
use the analogy
of you as
'G-D'
(substance)
1D6, 2P3,
2P4 }
I
WAS
I AM
I WILL BE
Exo.
3:14
( antecedents, present, and descendents ),
^ Being
brain, heart,
lungs, fingernails, shoes, etc. Analogies,
Organic
and all parts of you as
modes ( particular
things ).
2P20
Example—you
are a part of G-D
as your heart is a part of you.
Indivisible
You should
serve G-D as you would
want your heart to serve you.
E2:Endnote
N.11, E5:Endnote
18:1N, Pantheism, Fetus,
Skin,
Bk.XIV:2:243—Man
needs.
There is an apparent contradiction in the Note 11 analogy: G-D has no Emotions (5P17); no love; no hate—but you certainly love/hate your heart. When your heart gives-out your conciousness is finished; but in G-D nothing is lost or gained: think conservation of matter (your chemicals return to the earth) and conservation of energy (your energy fertilizes the earth or is energy for the worms). The contradiction is thus resolved. Analogies,
Also
interchange G-D and Nature.
G-D
siveNatura
(For this last, thanks
to "Frank Dixon" <fdixon65@yahoo.com>)
12. See Wolfson's
Outline of "The Ethics" compiled by Terry
Neff.
For Table of
Contents of Wolfson's epic commentary see Bk.XIV:xii.
For Wolfson's "What
is New in Spinoza?" see E5:Bk.XIV:xxvi.
Spinoza's
Daring
For a "study of the
plan of Ethics 1" see Deleuze's Bk.XIX:337-8.
Dijn:238—On
Salvation
For a critical criticism of "The Ethics"
see Bennett's Bk.XVIII.
13. See Nadler's entry
in "Stanford
Encyclopedia of Philosophy".
Definitions:45
Axioms:46
Part I 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 |
Appendix:74.
Part I Proposition List: Book
I:Pg. v; {
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.
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.
{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
them
for their 'cash value'. See Notes
10 & 11, Posit:
1D6 = ONE,
and Ideas.}
Stipulations
Premises 1 to 5 and Conclusion are from Wikipedia.
| Prop. I. E1:Bk.XIV:1:158 |
Substance {G-D}
is by Nature prior to its modifications.
{EL:Bk.XIII:626, Deus sive Natura, Bk.XX:228.} Premise 1. Substance
exists and cannot be dependent on anything |
| Prop. II. II - VI Bk.XIV:1:79, 81 |
Two substances, whose attributes
are different, have nothing in common. Premise 2. No two substances can share an attribute. Proof: If they share an attribute,
they would be identical. Therefore |
| Prop. III. | Things which have nothing
in common cannot be one the cause of the other. Premise 3. A substance can only be caused by something similar to itself (something that shares its attribute). |
| Prop. IV. | Two or more distinct things are distinguished one from
the other, either by the difference of the attributes of the substances, or by the difference of their modifica- tions. Implied is Premise 4. Substance
cannot be caused. |
| Prop. V. | There cannot exist in the universe two or more
substances having the same nature or attribute. Implied is Premise 5. Substance is infinite. Proof: If substance were not
infinite, it would be finite and |
| Prop. VI. | One substance cannot
be produced by another substance. IImplied is the Conclusion: There can only be one substance. Proof: If there were two infinite substances, they would limit each other. But this would act as a restraint, and they would be dependent on each other. But they cannot be dependent on each other (premise 1), therefore there cannot be two substances. |
| Prop. VII.
VII - X Bk.XIV:1:113 E1:Bk.XIV:1:158 |
Existence belongs
to the Nature of substance.
|
| Prop. VIII
VIII - XI Bk.XIV:1:139. |
Every substance is necessarily infinite. |
| Prop. IX. | The more reality or
being a thing has the greater the
number of its attributes. |
| Prop. X. | Each particular
attribute of the
one substance must be conceived through itself. |
| Prop. XI. | G-D, or substance,
consisting of infinite attributes, of which each expresses eternal and infinite essentiality, necessarily exists. |
| Prop. XII.
XII - XIII Bk.XIV:1:113. |
No attribute of substance can be conceived from which
it would follow that substance can be divided. |
| Prop. XIII. | Substance absolutely infinite is indivisible. |
| Prop. XIV. Bk.XIV:1:214. |
Besides G-D no substance
can be granted or conceived. |
| Prop. XV.
XV - XVIII Bk.XIV:1:296. |
Whatsoever is, is in G-D,
and without G-D nothing can be, or be conceived. |
| Prop. XVI. | From the necessity of the divine nature
must follow an infinite number of things in infinite ways—that is, all things which can fall within the sphere of infinite intellect. |
| Prop. XVII. | G-D acts solely by the
laws of his own Nature, and is
not constrained by any one. |
| Prop. XVIII. | G-D is the indwelling
and not the transient cause of all
things. |
| Prop. XIX.
XIX - XXIX Bk.XIV:1:370. |
G-D, and all the attributes of G-D, are eternal. |
| Prop. XX. | The existence of
G-D and his essence
are one and the same. |
| Prop. XXI. | All things which follow from the absolute Nature
of any attribute of G-D must always exist and be infinite, or, in other words, are eternal and infinite through the said attribute. |
| Prop. XXII. | Whatsoever follows from any attribute
of G-D, in so far as it is modified by a modification, which exists necessarily and as infinite, through the said attribute, must also exist necessarily, and as infinite. |
| Prop. XXIII. | Every mode, which exists both necessarily
and as infi- nite, must necessarily follow either from the absolute Nature of some attribute of G-D, or from an attribute modified by a modification which exists necessarily, and as infinite. |
| Prop. XXIV. | The essence of things
produced by G-D does not involve existence. |
| Prop. XXV. | G-D is the efficient
cause not only of the existence of things, but also of their essence. |
| Prop. XXVI. | A thing which is conditioned
to act in a particular manner, has necessarily been thus conditioned by G-D; and that which has not been conditioned by G-D cannot condition itself to act. |
| Prop. XXVII. | A thing, which has been conditioned by G-D to act in
a particular way, cannot render itself unconditioned. |
| Prop. XXVIII. | Every individual thing,
or everything which is finite and
has a conditioned existence, cannot exist or be condi- tioned to act, unless it be conditioned for existence and action by a cause other than itself, which also is finite, and has a conditioned existence; and likewise this cause cannot in its turn exist, or be conditioned to act, unless it be conditioned for existence and action by another cause, which also is finite, and has a con- ditioned existence, and so on to infinity. |
| Prop. XXIX. | Nothing in the universe is contingent,
but all things are conditioned to exist and operate in a particular manner by the necessity of the Divine Nature. |
| Prop. XXX.
XXX - XXXVI Bk.XIV:1:400. |
Intellect, in function (actu) finite, or in function
infinite, must comprehend the attributes of G-D and the modifications of G-D, and nothing else. |
| Prop. XXXI. | The intellect in function,
whether finite or infinite, as will, desire, love, etc., should be referred to passive nature and not to active Nature. |
| Prop. XXXII. | Will cannot be called
a free cause, but
only a necessary cause. |
| Prop XXXIII. | Things could not have
been brought into being by G-D in any manner or in any order different from that which has in fact obtained. |
| Prop. XXXIV. | G-D's power is identical with his essence. Metaphors |
| Prop. XXXV. | Whatsoever we conceive to be in the power of G-D,
necessarily exists. |
| Prop. XXXVI. | There is no cause from
whose nature some effect does not follow. |
< E1:Bk.XV:2601—E3:Def.XX:178,
TEI:[95-98]:35
> For symbols see E1:Note 4
DEFINITIONS
{ G:Notes
1 & 2,
Hypothesis.
}
Bk.III:197; Bk.XIV:1:1273, 1:1281—TEI:[92]:34; Neff—EL:L02(02):276.
<causa sui,
E1:Bk.XV:2602—E1:XI:51,
E1:XVI:59
>
Being
Def. I. By that
which is self-caused,
I mean that of which the
Spinoza's
Religion
essence involves existence,
or that of which the Nature
G-D
siveNatura
is only conceivable as existing.
1P7, 1P24;
5P35.
<------- small print,
Logical Index.
{G:Bk.VII:2821,G-D,
Deus, Immanent,
Exodus 3:14
" I AM THAT
I AM";
Analogy
Strong:1961, 1933, 1934. J---vah;
Strong:3068, 3069, Bk.XIV:1:144-5.
}
Bk.XVIII:76d2,
87d2,
88p21,22;
Bk.XIX:13a.
Bk.XIB:237108;
Bk.XIV:1:133.
Bk.III:198—TEI:[101]:37
Bk.III:199.
Def. II. A thing is
called finite after its kind,
when it can be limited
by another thing of the same nature; for instance, a body is
G-d
sivenatura
called finite because we always
conceive another greater
body. So, also, a thought is limited by another
thought, but
a body is not limited by thought,
nor a thought by body.
Bk.XIV:1:136.
Neff—EL:L04[3](04):282,
Bk.XIII:6713—E2:I
& II:82.
1P8,
21.
G:Bk.VII:223;
Bk.XIII:623;
Bk.XIV:1:64; Bk.XV:2613;
Bk.XVIII:601d3,
64d3,
67d3.
Durant:636—reality,
essence
Bk.III:197.
Def. III. By
substance, I mean
that which is
in itself, and is
term 'G-D'
conceived through itself;
in other words, that of which a
conception can be formed independently of
any other Hampshire32:22,
Joseph Kupfer
conception.
1P1, 2, 4,
5, 6c, 10, 15,
28.
<------- small print,
Logical Index.
EL:[42];xxiii, Neff—EL:L02[4](02):277,
Neff—E5:L29(12):318.
Bk.VIII:4082—Bk.XIV:1:121;
Bk.XIII:623.
Bk.XIV:1:142,146,1521,1532,
2322,
236, 2554,
2575,
3883,
404; Bk.XV:2614—E2:XLIV:116;
Bk.XVIII:611d4,
1461d4—Bk.XIV:1:121.
Def. IV. By attribute,
I mean that which the intellect perceives
as {if}
Wolfson:1:1432—Talmud.
constituting the essence of substance.
1P4, 9,
10, 12, 19, 20;
2P1note.
Durant:63672
G:Shirleys:234,
Neff—EL:L02[3](02):277.
^ Bk.III:158,196—Neff—TL:L27(09):315.
Bk.III:200;
Bk.XIV:1:64, 2504,
2554;
Bk.XVIII:61d5,
67d5,
92d5,
1481d5.
<Bk.XV:2615—E1:XXV(7)C:66,
E2:D.1:82, E2:V(1):85
>
{ Calculus:Fig.
3 }
] affections[
( accidents
)
Def. V. By mode,
I mean the modifications
("Affectiones")
of
{ Spinoza's
motive;
substance, or that which exists in, and is conceived
All things
are in G-D. }
through, something other than itself. { G:Shirley:236}
Durant:638
- modes
{ E1:Note 11, Neff—E5:L29(12):318
} 1P1,
4, 6c, 15, 23,
25c, 28, 31;
2P1.
Def. VI References: Bk.XIII:6817—Bk.XIII:612—EL:L04[4]G-D(04):283;
SCR:Dijn's Salvation.
E1:Bk.III:18938,
198, 199, 200; Bk.XIB:23296,
235, 237108;
Bk.XIV:1:1182,
133, 158,Bk.XIV:2:3431;
Bk.XVIII:251d6—1p14d,
64d6,
75d6,
14713;
Bk.XIX:13;Bk.XX:228.
{It
will be a happy day when all books
and footnotes are available electronically
and permanently.}
<Bk.XV:2616—Bk.XV:27167
on E2:VII(8):87>,
{See
Note 13},
{Quantum Mechanics}. E1:Dijn:195.
Simply
Posit. {Compare
ONE —
Spinoza's and Jewish
identical Foundation Rock is to Know
G-D, Durant:169.}
Def. VI. By G-D,
I mean { Being
} absolutely infinite—that
is,
{by
religious hypothesis,
substance consisting in infinite
attributes, of which each
MOTIVE,
expresses
eternal and infinite essentiality
{and
an infinite number
Spinoza's
Daring}
of
finite modes. Included in these modes
are you, me, and every other
Logical necessity
particular
thing}.
G-D
sive Natura
and G-d sive natura.
}
ST:Note
4
{G-D at 100% °P^}
Robinson5:40
{^ G-d
at <100% °P,
Disclaimer}
Stewart06:[5]
G:Bk.VII:236—Spinoza's
Pantheism ^
New
Wine
in Old Bottles—E1:Wolfson:1:158,
E1:Wolfson:1:216,
E1:Albert Schweizer:79, Root
Sources.
1P10S, 11, 14,
14C1, 16, 19,
31; 2P1, 1S,
45; 4P28;
5P35.
<------- small print,
Logical Index.
{ Deus,
Posit, EL:[40]:xxiii,
TEI:[39]:14, TEI:[40]:15,
E1:X(4)n:51, Neff—EL:L02[3](02):276
Neff—TEI:L64(60):395,
Cash
Value—an
all-inclusive organic
interdependence.
Importance
of 1D6 = ONE
C:Fig.3, G:Spinoza's
Pantheism, Spinoza's
Religion, Man's
place in Nature, Quantum Mechanics.}
Def.
VI paraphrased using the analogy suggested
in Note 11:
Other Examples—2P3,
2P4
By YOU
I mean a being absolutely
infinite—that is, a
substance consisting in infinite attributes, of which
each
Spinozism
expresses eternal and infinite essentiality {an
infinite
{Cash
Value—organic
number of finite modes. Included in these
modes are your heart,
interdependence of parts}
lungs, fingernails, shoes, etc., etc., etc.}.
Bk.XIV:1:215,
3771.
< in > Bk.III:157.
Explanation.— I say absolutely
infinite, not infinite
after its kind:
for, of
a thing infinite
only after its kind, infinite attributes may be
denied; but that
which is absolutely
infinite, page
46 contains
in
its essence
whatever expresses reality, and involves
no negation.
Bk.XIV:1:136,137.
{Being}
{of its Being}
Bk.XIV:1:xvi2,
2552,
3851,
3994,
400, 4071,
2:1731;
Bk.XVIII:181d7,
3151d7.
Popkin:71
< E1:Bk.XV:2627,
E1:XVII(7)N:60.
>; Bk.III:206,
229.
Spinoza's
Religion
Def. VII. That thing
is called free, which exists
solely by the neces-
G-D
sity of its own nature,
and of which the action
is deter-
Wolf:ST:29-16
mined by itself alone. On
the other hand, that thing is
Hampshire:182
]inevitable
[,
compelled—Bk.XIV:1:3091
Mark
Twain
necessary
, or rather
constrained, which is determined
by
E5:Wolfson:2:268
something external to itself
to a fixed and definite method
Mark
Twain
of existence or action.
1P17C2, 32,
33S2; 2P17S; 3P49.
LT:L3421:336
] Bk.XIII:276276—Neff-TL:L60(56):389.
[
{ Taylor/Wheeler92:iii
}
] Bk.VII:16—'free'
is not opposed to 'necessary' but to 'compelled' [
Fatalism—Ridley:307
{
Since nothing is external to G-D,
by hypothesis, He
is at 100% °P,
always "free."
}
{E3:XLIX:161,
EL:[41];xxiii, Neff—TL:L62(58):389,
Free-will,
Volition. }
Bk.XIB:226; Bk.XIV:1:xvii3,
331-369,
358, 3685,
3692;
Bk.XVIII:111d8,
2041d8.
< E1:Parkinson:2628,
E1:XIX(5)N:63,
E1:XXXIII(21)N2:72, E2:XLIV(11)C2:117.
>
Def. VIII. By eternity,
I mean exist-ing
itself, in so far as it is
conceived necessarily to
follow solely <merely>
from the
Calc:Note 4.7
definition
of that which is eternal.
P19, 20, 23;
5P29, 30.
<------- small print,
Logical Index.
{G-D, EL:[41];xxiii, EL:[60]:xxix; Neff—E5:L29(12)[5]:319.}
Explanation.—Existence of this kind is
conceived as an
[ Bk.VIII:4095—E1:VIII(14)N2:49,
E1:XIX:62. ]
eternal truth, like the
essence
of a thing,
and, therefore,
[ expressed
]
duration—Bk.XIV:1:3583.
cannot be explained by means
of continuance or time,
Calculus:4.7
Bk.XIV:1:3662.
though continuance may
be conceived without a beginning or
Hampshire32:172
end. {E5:Einstein
Time, Hawking
Time; Neff—E5:L29(12)[3]:318};
Bk.XIB:224.
Ax. I. Everything
which exists, exists either in itself or in something
else.
1P4, 6C,
11, 14C2, 15,
28.
<------- small
print, Logical
Index.
Bk.III:152,196;
Bk.XII:160; Bk.XVIII:181a1.
Ax. II. That which cannot be
conceived through anything else must
Bk.XIV:1:76.
be conceived through itself.
I am
that I am
{event}
]inevitably
[
Ax. III. From a given definite cause
an effect necessarily follows;
Chain
of natural events
and, on the other hand, if no definite cause be granted, it is
Wolfson:1:90
impossible that an effect can follow.
1P27; 4P31;
5P33.
Bk.III:196; Bk.XVIII:321a3,
112a3.
Ax. IV. The knowledge
of an effect depends on and involves the
knowledge {understanding}
of a cause.
1P3, 6C,
25; 2P5, 6,
7, 16, 45;
5P22.
Bk.III:188;
Bk.XII:160; Bk.XV:26210;
Bk.XVIII:1271a4,
1791a4;
Bk.XIX:13313.
Transcendent
Ax. V. Things
which have nothing in common cannot be understood,
Wolfson:1:90—Transcendent
the one by means of the other; the conception
of one does not
Transcendent
involve the conception of the other. 1P3.
Bk.XVIII:1271a5—1p3d,
1481a5.
Bk.III:80—TEI:L64(60):395;
188; Bk.XIV:2:996;
Bk.XVIII:1671a6,
1701a6.
] G:Bk.VII:2513—ideate,
E2:XLVIII(9)
& XLIX:120, E1:XXX:(1):69.[
E1:Parkinson:26311—True
Idea
Ax. VI. A true
idea must correspond with its ideate
or object.
1P5, 30;
2P29, 32,
44, 44C2.
<-------------- small
print, Logical
Index.
{ L65(63):396,
Neff—LT:L66(64):398,
E2:Def.IV:82. }
Ax. VII. If a thing can be conceived as non-existing,
its essence
does not involve existence.
1P11.
Bk.XVIII:74a7.
{Axiom VIII—simply posit}
1D6=
ONE—Deus—William
James; Importance of 1D6 = ONE
{In order to avoid useless speculation,
simply posit Spinoza's
G-D as a working hypothesis
and then prove or disprove it by
testing for its cash value. Col:Hampshire}
Hypothesis—1. a provisional theory set forth to explain some class of phenomena (say, like gravity), either accepted as a guide to future investigation (working hypothesis) or assumed for the sake of argument and testing for its cash value (which is, that all things are in G-D; therefore everything is organically interdependent and you cannot harm one part without eventually harming yourself or your progeny.) 2. a tentative assumption made in orderto draw out and test its logical or empirical consequences.
This working hypothesis helps to
understand our universe, society, and
ourselves and thus brings moments of peace-of-mind—the goal of all Religions
and righteous governments.}
PART I PROPOSITIONS {
Hypotheses
} ] G:Bk.VII:2513
[
Bk.XX:228. For all Propositions see Scroll P1.
PROP. I. EL:Bk.XIII:626;Bk.XIV:1:78; Bk.XVIII:67p1, 1471p1—2p7s; Bk.XX:228. See Premise 1
E1:Bk.XIV:1:158
Bk.XIV:1:3751.
Substance {
G-D
} is by Nature
prior
Deus
sive Natura
to its modifications.
{Neff,
EL:L04(04)[4]:283.}
1P5
<------- small print,
Logical Index.
[ affections ]
For symbols see Note 4.
Bk.XIV:1:3792.
{ Paraphrased using the analogy suggested in Note 11. } Other Examples—1D6, 2P3, 2P4
{ YOU
are by nature prior to your emotional changes. } James'
Bear
Proof.— (1:1)
This is clear from Defs. iii.
and v {iv and vi}.
Motive
PROP. II. Bk.III:196;
Bk.XIV:1:79, 85, 96; Bk.XVIII:691p2,
104p2,4,5,6,
1481p2.
See
Premise 2
Two substances,
whose attributes are
Bk.XIV:1:81.
different, have nothing in common.
] Bk.XIII:6816
on EL:L04[4](04):283.[
1P6,
11, 12.
<------- small print,
Logical Index.
page 47
Proof.— (2:1)
Also evident from Def. iii.
(2:2) For
each must exist in itself,
and be conceived
through itself; in other words, the
conception of
]involve[ For
symbols See Note
4.
one does not imply the conception of
the other.
PROP. III. Bk.III:196;
Bk.XIV:1:86, 94, 95; Bk.XVIII:501p3,
1271p3d,
1481p2,3;
Bk.XIX:4811—E1:17s.
See
Premise 3
Things which have
nothing in common
Satan,
slums
cannot be one the cause
of the other.
Wolfson:1:90—Transcendent
]Bk.XIII:6816
on EL:L04[4](04):283.[
Bk.XIB:237109.
1P6
Proof.— (3:1)
If they have nothing in common, it follows
that one can-
< understood >
not be apprehended by means of the other (Ax.
v.), and, therefore,
one cannot be the cause of the other
(Ax. iv.). Q.E.D.
PROP. IV. Bk.XIV:1:91,
92; Bk.XVIII:64p4d,
66p4,
104p2,4,5,6.
Two or more distinct
things are
See
Premise 4
distinguished one from
the other,
either by the
difference of the
attributes
of the substances,
or by
the difference of their modifications.
Bk.XIV:2:1943.
1P5
Bk.XIV:1:86—Affections
Proof.— (4:1)
Everything
which exists, exists either in itself
or in
] nothing
exists
something else (Ax. i.),—that
is (by Defs. iii. and v.), nothing
is grant-
external to the intellect,
[
ed in addition to the understanding,
except substance and its modi-
< Bk.XV:26312—E1:XIV:54
> [
outside the intellect
]
fications. (4:2)
Nothing is, therefore, given
besides the understanding,
by which several things may be distinguished one from the
other, except the substances,
or, in other words ] Def.
iv. [,
their
] affections[
attributes
and modifications.
Q.E.D.
Bk.XIV:1:4041.
PROP. V. Bk.III:195,197;
Bk.XIII:625
on EL:L02[4]; Bk.XIV:1:139.
Bk.XVIII:61p5d,
661p5,
82p5,7,8,
88p5,
104p2,4,5,6,
1481p5,
17014;
Bk.XIX:282,
3415; Bk.XX:228.
There cannot exist in the universe
See
Conclusion
two or more substances
having the
See Note
10
same nature or attribute.
1P8, 12, 13,
14, 15s; 2P10s,
13L1.
Bk.XIV:1:86.
< Bk.XV:26313—E1:XXV(7)C:66
>
{Cash
Value—an all-inclusive
organic interdependence.
Analogy—you
are unique.}
{Neff—EL:L02(02)[4]:276}
Proof.— (5:1)
If several distinct substances be granted, they
must be
Bk.XIV:1:93
distinguished
one from the other, either by the difference
of their
attributes, or by
the difference of their modifications
(Prop. iv.).
[conceded ]
(5:2) If
only by the difference of their attributes, it will be granted that
there cannot be more than one with an identical attribute. (5:3) If by
the difference of their modifications—as substance is naturally prior
to its modifications (Prop. i.),—it follows that setting the modifica-
tions aside, and considering substance in itself, that is truly, (Defs. iii.
and Ax.vi.), there cannot be conceived one substance different from
another—that is (by Prop. iv.), there cannot be granted several
substances, but one substance only.
Q.E.D.
PROP. VI. Bk.III:196;
Bk.VIII:93[7]; Bk.XIII:612
on EL:L02[3](02),625
on EL:L02[4].
Bk.XIV:1:94, 95;
Bk.XVIII:104p2,4,5,6.
Proof.— (6:1) It is impossible that there should be in the universe two
substances with an identical attribute, i. e. which have anything
common to them both (Prop. ii.), and, therefore page 48 (Prop. iii.),
one cannot be the cause of another, neither can one be produced
by the other. Q.E.D.
Corollary.— (6:2)
Hence it follows that a
substance cannot be pro-
Bk.XIV:1:95.
< Bk.XV:26314—E1:XV(11)N:55,
E1:VIII(10)N2:49 >
duced by anything
external to itself. (6:3)
For in the universe nothing
]
exists [
{ ^ A
transcendent God
}
is granted, save
substances and their modifications
(as appears
from Ax. i. and Defs. iii. and v.). (6:4) Now (by the last Prop.) substance
cannot be produced by another substance, therefore it cannot be
produced by anything external itself. Q.E.D. 1P7, 15s.
Bk.XVIII:181p6c,
601p6c,
1281.
<
Another Proof >
(6:5)
[
Alternatively: ]
This is shown still more readily by
the absurdity
of the contradictory. (6:6) For, if substance be produced by an external
cause, the knowledge of it would depend on the knowledge of its
cause (Ax. iv.), and (by Def.
iii.) it would itself not be substance.
PROP. VII. Bk.XIV:1:116,1263,130,139;
Bk.XVIII:707,11,
82p5,7,8;
Bk.XIX:3415.
Proof.— (7:1) Substance cannot be produced by anything external
(Corollary, Prop.
vi.), it must, therefore, be its own cause—that
is,
< Bk.XV:26317
—ontological
argument, E1:XI:51
>
] Def.
I [,
its essence necessarily
involves existence, or existence
Durant:63671
belongs to its nature. Bk.XVIII:171p7d,
251p7d;
Bk.XIX:13313.
PROP. VIII. Bk.XIV:1:118,120,133,139;
Bk.XVIII:69p8d,
82p5,7,8,
88p8;
Bk.XIX:3415.
Every substance
is
E1:Wolfson:1:158
necessarily infinite.
1P12, 13S,
15S; 2P13L1.
{Famous
letter on the Infinite}
{ EL:L15(32):2922,
Neff—E5:L29[11](12):322.}
Bk.XIII:625
on EL:L02[4](02).
< Bk.XV:26315—E1:XI:51,
E1:XIII(4)C:54
E1:XV(32)N:57,
E2:Lemma1:93.
>
< a substance of one attribute
>
Proof.— (8:1)
There can be only
one substance with an identical
] Prop.
v. Bk.VIII:41212—E1:X(2)N:51
[
attribute,
and existence follows from its nature (Prop. vii.);
its nature,
] can [
therefore, involves existence,
either as finite or infinite. (8:2) It
does
not exist as finite, for (by Def. ii.) it would then be limited by some-
thing else of the same kind, which would also necessarily exist
(Prop. vii.);
and there would be two substances with an identical
] must exist [
attribute, which is absurd (Prop.
v.). (8:3) It
therefore exists as infinite.
{ Neff—E5:L29[4](12):318.}
Q.E.D.
Bk.XVIII:76p8s1—d6expl.
Note I.— (8:4)
As finite existence involves a partial negation, and
infin-
ite existence is the absolute affirmation of the given nature, it follows
(solely from Prop.
vii.) that every substance is necessarily infinite.
Durant:63671
Note II.—(8:5)
No doubt it will be difficult
for those who think about
things loosely, and have not been accustomed to know them by their
primary causes, to comprehend the demonstrations of Prop. vii.: for
such persons make no distinction between the modifications of
substances and the substances
themselves, and are ignorant of the
Bk.XIX:1611.
manner in which things
are produced; hence they attribute
to
] a
[
substances the
beginning which they observe in natural objects.
[ confuse everything ]
(8:6) Those
who are ignorant of true
causes, make complete page
49
[ Bk.VIII:41316—TEI:[58:4]:22]
confusion—think that trees might
talk just as well as men—that men
might be formed from stones as well as from seed; and imagine that
any form might be changed into any other.
(8:7) So,
also, those who
Bk.XVIII:1811p8s2.
{ whole
and a part. }
confuse the two natures,
divine and human, readily attribute human
] emotions[
] G-D[
passions to the deity,
especially so long as they do not know how
Durant:63979
passions originate in the mind. (8:8) But, if people would consider the
Nature of substance, they would have no doubt about the truth of Bk.XIV:1:116.
Prop. vii. (8:9)
In fact, this proposition would
be a universal axiom,
1P15S.
and accounted a truism.
(8:10) For,
by substance, would be
under-
Bk.XVIII:73p8s2—p11d2.
stood that which is in itself, and is conceived
through itself—that is,
something of which
the conception requires not the conception of
< E1:VI(2)C:48
>
Bk.III:153
anything else; whereas
modifications exist in something external to
themselves, and a conception of them is formed
by means of a con-
{ substance }
ception of the thing
in which they exist. (8:11)
Therefore, we may have
true
idea of non-existent modifications;
for, although they may have
]
Bk.XIII:6918
on EL:L04[4](04):284.[
no actual existence
apart from the conceiving intellect, yet
their
essence
is so involved in something external
to themselves that they
may through it be conceived. (8:12)
Whereas the only truth substances
can have, external to the intellect, must consist in their existence,
because they are conceived
through themselves. (8:13)
Therefore,
Hypothesis
for a person to say that he has
a clear and
distinct—that
is, a true—
idea of a substance, but that he is not sure whether such substance
exists, would be the same as if he said that he had a true idea, but
was not sure whether or not it was false (a little consideration will
make this plain); or if anyone affirmed that substance is created, it
would be the same as saying that a false idea was true—in short,
the height of absurdity.
(8:14) It must,
then, necessarily be admitted
[ Bk.VIII:4095—E1:D.VIII:46,
E1:XIX:62
]
that the existence of substance
as its essence
is an eternal truth.
[ infer ]
(8:15) And
we can hence conclude by another process of reasoning
Bk.XIX:3416.
—that there is but one
such substance. (8:16) I
think that this may prof-
[ Bk.VIII:41421—NeffTL:L39(34):351,
]
itably be done at
once; and, in order to proceed regularly with the
[ note ]
demonstration, we must premise:— ]
Neff,
Bk.XIII:201184.
[
1.
(8:17) The
true definition of a thing neither involves
nor expresses Bk.XIV:1:1253.
anything
beyond the nature of the thing defined. (8:17a)
From this
it follows that—
] fixed [
2.
(8:18) No definition
implies or expresses a certain number of indi-
viduals, page 50
inasmuch as
it expresses nothing beyond the
nature of the thing defined. (18a)
For instance, the definition of
a triangle
expresses nothing beyond the actual nature
of a
triangle:
it does not imply any fixed number
of triangles.
3. (8:19)
There is necessarily
for each individual existent
thing a
cause
why it should exist. Bk.XIV:1:3192.
Bk.XIB:249.
4. (8:20)
This cause of existence
must either be contained in the
nature and definition
of the thing defined ]in
effect, existence
belongs to its nature[,
or must be postulated apart from such
definition.
[outside
]
] the thing itself. [
(8:21) It therefore follows that, if a given number of individual things
exist in nature, there must be some cause for the existence of exact-
ly that number, neither more nor less. (22) For example, if twenty men
exist in the universe (for simplicity's sake, I will suppose them exist-
ing simultaneously, and to have had no predecessors), and we want
to account for the existence of these twenty men, it will not be
enough to show the cause of human existence in general; we must
also show why
there are exactly twenty men, neither more nor less:
] Note 3 [
for a cause
must be assigned for the existence of each individual.
] Note 2 & 3[
(8:23) Now
this cause cannot be contained in the actual nature of man,
for the true
definition of man does not involve
any consideration of
] Note 4 [
the number twenty. (24)
Consequently, the cause for the existence of
these twenty men, and, consequently, of each of them, must neces-
sarily be sought externally
to each individual. (8:25) Hence
we may
[
infer absolutely
]
lay down the
absolute rule, that everything
which may consist of
] Bk.XIII:6311
on EL:L02[9](02):279.[
several individuals
must have an external
cause. (8:26)
And,
as it has been shown already that existence appertains to the nature
of substance, existence must necessarily
be included in its definition;
Bk.XVIII:69p8s2—p5.
and from its definition
alone existence must be deducible. (8:27)
But
from its definition (as we have shown, Notes 2 & 3), we cannot infer
the existence of several substances;
therefore it follows that there
Bk.XIX:3416.
is only one substance of the same nature. Q.E.D.
1P15S.
PROP. IX. Bk.III:195,198;
Bk.XIB:234102;
Bk.XIV:1:119,
140, 2121;
Bk.XVIII:69p9,
761p9.;
Bk.XIX:3519.
< E2:Def.
VI:83 >
The more reality or
being a thing
E1:Bk.XIV:1:158
has the greater the number of its
Bk.XIV:1:141.
attributes.
{ Computerized
Machines }
] Proof.— (9:1)
This is evident from Def.
iv. [
PROP. X. Bk.III:197,
200, 216; Bk.XIV:1:119,140, 141, 156,
2:221;
Bk.XVIII:141p10,2p6,
481p10,
2p6, 61p10.
Proof.— (10:1)
An attribute is that which the intellect perceives
of sub-
Bk.XVIII:1471p10d,
2p7s.
stance, as constituting its essence
(Def. iv.), and, page
51 therefore,
Bk.XIV:1:2581
must be conceived through itself (Def. iii.). Q.E.D.
] Bk.VIII:41212—E1:VIII(1):54[
Bk.XIV:1:2555,
2576,
2582.
Note.— (10:2)
It is thus evident that,
though two attributes are, in fact,
Bk.XIV:2:221;
Bk.XIX:3417.
{ Analogy—say
a heart and a lung. }
conceived as distinct—that is, one
without the help of the other—yet
Bk.XVIII:651p10s.
we cannot, therefore,
conclude that they constitute two entities, or
< Bk.XV:26316—E2:I:83,
E2:II:84 >
< Bk.XV:283162
on E5:Prf(6):244
>
two different substances.
(10:3) For it is the nature
of substance that
Bk.XIV:1:1524.
each of its attributes is conceived
through itself, inasmuch as all the
attributes it has have always existed simultaneously
in it, and none
Bk.XIV:1:1522,
2571.
could be produced by any other; but
each expresses the reality or
Bk.XIV:1:156
being of substance. (10:4)
It is, then, far from an absurdity to
ascribe
{ G-D }
several attributes to
one substance: for
nothing in nature is more
Bk.I:397.
clear than that each and every entity must be conceived under
some
attribute, and that its reality or being is in proportion
to the number of
Bk.III:199;
Bk.XIX:131;
{Sham
}.
its attributes expressing necessity
or eternity and infinity.
(10:5) Con-
sequently it is abundantly clear,
that an absolutely infinite being
] Def. vi[
must necessarily be defined
as consisting in infinite attributes
each of which expresses
a certain eternal and infinite essence.
(10:6) If
anyone now ask, by what sign shall he be able to distinguish
different substances, let him read the following
propositions, which
] Nature
[
show that there is but one
substance in the universe, and that it is
Bk.XIX:3621.
absolutely infinite, wherefore such a sign would be sought
for in vain. 1P14C1.
Prop. XI. Bk.III:195,
200; Bk.XIV:1:129, 158-213;
Bk.XV:26738
on E1:XXIX:68
; Bk.XX:228.
Bk.XIV:2:3432
G-D, or substance,
consisting of
G-D
at 100% °P
< Bk.XV:26315
on E1:VIII:48
>
infinite attributes,
of which each
Hampshire32:56
expresses eternal and
infinite
essentiality,
necessarily exists.
term
'G-D'
1P13, 14, 17C2,
19, 19S, 21,
29, 33, 34;
5P35.
{ Neff-EL:L02(02):276,
Posit:
1D6 = ONE,
Cash
Value—an
all-inclusive
organic
interdependence. }
] if you can [
Proof.— (11:1)
If this be denied, conceive, if possible,
that G-D does
[by
1A7 ]
not exist: then his essence
does not involve existence. (11:2) But
this
< Bk.XV:26317—E1:VII:48
> {Bk.XVII:141,
145}
(by Prop. vii.)
is absurd. (11:3) Therefore
G-D necessarily
exists.
Bk.XIII:624
on EL:L02[4](02).
Bk.III:54.
Another proof.—(11:4)
Of everything whatsoever
a cause or reason
must be assigned, either for its existence, or for its non-existence—
e.g., if a triangle exist, a reason or cause must be granted for its
existence; if, on the contrary, it does not exist, a cause must also be
granted, which prevents it from existing, or annuls its existence.
(11:5) This reason or cause must either be contained in the nature of
the thing in question, or be external to it. (11:6) For instance, the
reason for the non-existence of a square circle is indicated in its
page 52 nature, namely, because it would involve a contradiction.
(11:7) On the other hand, the existence of substance follows also solely
from its nature, inasmuch as its nature involves existence. (See
(11:8) But
the reason for the existence of a triangle or a circle does not
Bk.XVIII:121p11d2.
follow from the nature
of those figures, but from the order of univer-
[ corporeally ]
sal Nature in extension.
(9) From
the latter it must follow, either that a
Bk.XVIII:120p11d2;
[now
]
triangle necessarily exists, or that it is impossible that
it should exist.
(11:10) So much is self-evident. (11:11) It follows therefrom that a thing
necessarily exists, if no cause or reason be granted which prevents
its existence.
(11:12) If, then, no cause or reason can be given, which prevents the
existence of G-D, or which destroys his existence, we must certainly
conclude that he necessarily does exist. (11:13) If such a reason or
cause should be given, it must either be drawn from the very Nature
of G-D, or be external to him—that is, drawn from another substance
of another nature. (11:14) For if it were of the same nature, G-D, by that
very fact, would be admitted to exist. (11:15) But substance of another
nature could have nothing in common
with G-D (by Prop. ii.), and
] posit
or annul [
therefore would be unable either to cause or to destroy
his existence.
Bk.XIV:1:3741.
(11:16) As,
then, a reason or cause which would annul the divine exist-
ence cannot be drawn from
anything external to the Divine Nature,
] necessarily [
such cause must
perforce, if G-D does not exist, be drawn
from
G-D's own Nature, which would involve a contradiction. (17) To make
such an affirmation about a being absolutely infinite and supremely
perfect, is absurd; therefore, neither in the Nature of G-D, nor extern- Transcendent
ally to his Nature, can a cause or reason
be assigned which would
Bk.XVIII:73p11d2.
annul his existence. (11:18)
Therefore, G-D
necessarily exists. Q.E.D.
] ability [
Another proof.— (11:19)
The potentiality of non-existence
is a nega-
]weakness
[
tion of power, and contrariwise
the potentiality of existence is a
power, as is obvious. (11:20)
If, then, that which necessarily
exists is
Bk.XVIII:2971p11d3.
nothing but finite beings, such finite
beings are more powerful than
a being absolutely infinite, which is obviously absurd; therefore,
either nothing exists, or else a being absolutely infinite necessarily
exists also. (11:21) Now we exist either in ourselves, or in something
else which necessarily exists (see Ax. i. and Prop. vii.) (11:22) There-
fore page 53
a being absolutely infinite—in
other words, G-D (Def. vi.),
Bk.XIX:8913.
necessarily exists. Q.E.D.
Note.— (11:23)
In this last
proof, I have purposely shown G-D's exist-
{by
observation and induction
}
ence à posteriori, so
that the proof might be more easily followed,
{from particular
^ instances to a general principle
or law; based on observation or experiment}
not because, from the same
premises, G-D's existence does not
{
byintuition and deduction
}
follow à
priori. (24)
For, as the potentiality of existence is
a power, it
{ ^
from a general law to a particular instance; valid independently of observation}
Robinson3:170
follows that, in proportion
as reality increases
in the nature of a
^Bk.III:199
thing, so also will it increase its strength
for existence. (11:25)
There-
fore a being absolutely infinite, such as G-D, has from himself an
absolutely infinite power of existence, and hence he does
absolutely
Bk.XIX:8914.
Bk.XIV:1:208,
2101.
] to
be
exist. (11:26)
Perhaps there will be many who will be
unable to see the
convinced [
force of this
proof, inasmuch as they are accustomed only to con-
] derive [
sider those things which flow from
external causes.
(11:27) Of
such
things, they
see that those which quickly come to
pass—that is,
] likewise readily perish [
quickly come into existence—quickly
also disappear; whereas they
] to bring into being
[
] readily [
regard as more difficult of
accomplishment, that is, not so easily
brought into existence—those
things which they conceive as more
] complex[
complicated.
(11:28) However, to do away with this misconception, I need not here
show the measure of truth in the proverb, "What comes quickly,
goes quickly," nor discuss whether, from the point of view of univer-
sal Nature,
all things are equally easy, or otherwise:
I need only
Bk.XVIII:77p11d2.
remark, that I am not here speaking of
things, which come to pass
through causes external to themselves,
but only of substances
which (by Prop. vi.) cannot be produced by any external cause.
(11:29) Things
which are produced by external causes, whether they
< Bk.XV:26418—E2:D.VI:83
>
consist of many parts or few, owe
whatsoever perfection or reality
Bk.XIV:1:3198.
they possess solely to the efficacy of their external
cause, and there-
fore their existence arises solely from the perfection
of their external
Bk.XIV:1:2111.
cause, not from their own. (11:30)
Contrariwise, whatsoever perfection
is possessed by substance is due to no external cause; wherefore
the existence of substance must arise solely from its own Nature,
which is nothing else but its essence.
(11:31) Thus,
the perfection of a
{1D6=
ONE}
]posits
[
thing does not
annul its existence, but, on the contrary, asserts
it.
(11:32) Imperfection, on the other hand, does annul it; therefore we
cannot be more certain of
the existence of anything, than of the
] an Entity [
Bk.XIV:1:2122.
existence of a being absolutely infinite
or perfect—that is, of G-D.
(11:33) For inasmuch as his essence page 54 excludes all imperfection,
and involves absolute perfection, all cause for doubt concerning his
existence is done away, and the utmost certainty on the question is
given. (11:34) This, I think, will be evident to every moderately attentive
reader.
PROP. XII. Bk.III:200;
Bk.XVIII:85p12.
Proof.— (12:1)
The parts
into which substance
as thus conceived
Bk.XVIII:82p12d—p15s.
would be divided, either will retain the nature
of substance, or they
will not. (2) If the former, then (by Prop. viii.) each part will necessar-
ily be infinite, and (by Prop. vi.) self-caused, and (by Prop. v.) will
perforce consist of a different attribute, so that, in that case, several
substances could be formed out of one substance, which (by
Prop. vi.) is absurd. (3) Moreover, the parts (by Prop. ii.) would have
nothing in common with their whole, and the whole (by Def. iv. and
Prop. x.) could both exist and be conceived without its parts, which
everyone will admit to be absurd. (12:4) If we adopt the second alter-
native—namely, that the parts will not retain the nature of substance
—then, if the whole substance were divided into equal parts, it
would lose the nature of substance, and would cease to exist, which
(by Prop. vii.) is absurd.
PROP. XIII. Bk.XIV:1:121,157;
Bk.XVIII:82p13,c,s—p15s.
Substance absolutely
infinite is
indivisible. Bk.XIV:1:156.
{Analogy,
Pantheism, Disclaimer.}
Proof.— (13:1) If it could be divided, the parts into which it was divided
would either retain the nature of absolutely infinite substance, or
they would not. (2) If the former, we should have several substances
of the same nature, which (by Prop.
v.) is absurd. (13:3)
If the latter,
[ P12 ]
then (by Prop. vii.) substance absolutely
infinite could cease to exist,
which (by Prop. xi.) is also absurd.
Corollary.—
(13:4) It
follows that no substance, and consequently no
] corporeal[
< Bk.XV:26315
on E1:VIII(1):48
>
extended substance, in so
far as it is substance,
is divisible.
Bk.XVIII:76p13cs;
82p13,c,s—p15s.
1P15S
Note.— (13:5) The indivisibility of substance may be more easily under-
stood as follows. (6) The nature of substance can only be conceived
as infinite, and by a part of substance,
nothing else can be under-
] obvious [
stood than finite substance, which (by Prop.
viii.) involves a manifest
contradiction.
PROP. XIV.
Bk.XIV:1:112, 214-261,
323; Bk.XVIII:661p14.
Proof. (14:1)
As G-D is a being
absolutely infinite, of whom page
55
Bk.XVIII:251p14d—1d6.
no attribute that
expresses the essence of substance can be denied
(by Def. vi.), and
he necessarily exists (by Prop. xi.);
if any sub-
{ posited }
stance besides G-D were granted it would
have to be explained by
some attribute of G-D, and thus two substances with the same attri-
bute would exist, which (by Prop.
v.) is absurd; therefore, besides
Bk.XVIII:70p14d.
G-D no substance can be granted, or consequently,
be conceived.
(14:2) If it could be conceived, it would necessarily have to be con-
ceived as existent; but this (by the first part of this proof) is absurd.
(14:3) Therefore, besides G-D no substance can be granted or con-
ceived. Q.E.D. Bk.XVIII:811p14d,1501p14d.
Corollary I.— (14:4)
Clearly, therefore:—
Bk.XVIII:104p14c1,
Motive.
{ posited }
1. G-D is one,
that is (by Def. vi.) only one substance
can be granted 1D6
= ONE
in the
universe, and that substance is absolutely
infinite, as we
have already indicated (in
the note to Prop. x.). 1P17C2,
24C, 29S, 30,
33; 2P4.
Bk.XIB:247141;
Bk.XVIII:1984.
{From Max Jammer's "Einstein and Religion"; ISBN: 0691006997; 1999; p. 57.
Einstein never ceased to believe
that there ought to exist an unified field
theory. This belief may well have been rooted
in his Spinozistic conviction
in the unity
of nature: "G-D is One, hence in the nature of things only one
subtance is given; 1P14c. Spinoza
taught that nature is divine and G-D is
One, and
the most fundamental maxim of Judaism, the "Shma'
Israel" Elwes
[37]
("Hear,
O Israel, the Lord is our God, the Lord is One";
Deuteronomy
6:4)
was well known
to Einstein from his early religious instruction." Clearly
Einstein's indomitable
striving throughout his later lifetime- for "oneness"
in physics ...... }
Corollary II.— (14:5)
It follows:—
Body, Mind, and
Spinoza—E1:Damasio:209,
217.
2. That extension
and thought are either attributes
of G-D
Bk.XIV:2:82
or (by Ax.
i.) accidents (affectiones)
of the attributes of G-D.
<
Bk.XV:26419—E2:I
& II:83, Bk.XV:xix
>
Bk.III:201.
PROP. XV. Bk.III:200,
201, 208; Bk.XIB:253157;
Bk.XIV:1:xvi3,
296-330.
]Apart
from [
Proof.— (15:1)
Besides G-D, no substance is granted
or can be con-
ceived (by Prop. xiv.), that is (by Def. iii.) nothing which is in itself
and is conceived through itself. (2) But modes (by Def. v.) can neither
be, nor be conceived without substance; wherefore they can
only be in the Divine Nature, and can only through it be conceived.
(15:3) But substances and modes form the sum total of existence (by
Ax. i.), therefore, without G-D nothing can be, or be conceived.
Q.E.D.
Bk.XIV:1:262-295.
[ 1 ]
Bk.XIV:1:3011.
< Bk.XV:26420—E1:XIV:54,
Parts
and Whole
>
Note.— (15:4)
Some assert that G-d,
like a man, consists of body
and
1D6
{waves,
Reality Curve, C:4.4.
}
mind, and is susceptible
of passions. (5)
How far such persons have
Calculus:6.2b
& c.
strayed from the truth is sufficiently evident from what
has been said.
] dismiss [
Bk.XIV:1:3012—looked
into
(15:6) But
these I pass over. (15:7)
For all who have in anywise reflected
Bk.XIV:1:2583.
on the divine Naturedeny
that G-d has a body. (15:8)
Of this they find
excellent proof in the fact that we understand by body a definite
quantity, so long, so broad, so deep, bounded by a certain shape,
and it is the height of absurdity to predicate
such a thing of G-D, a
] arguments [
being absolutely infinite. (9)
But meanwhile by the other reasons with
which they try to prove their point, they show that they think corpo-
real or extended substance wholly apart
from the Divine Nature, and
] assert[
say page 56
it was created
by G-D. (15:10)
Wherefrom the Divine Nature
can have been created, they are wholly
ignorant; thus they clearly
show, that they do not know the meaning of their own
words. (15:11) I
myself have proved sufficiently clearly, at any rate in my own judg-
ment (Coroll. Prop. vi.,
and Note 2, Prop. viii.), that no
substance
< E1:VI(2)C:48
>
can be produced or created by anything
other than itself. (12)
Further,
I showed (in Prop. xiv.),
that besides G-D no
substance can be
granted or conceived. (15:13)
Hence we drew the conclusion
that ex-
< E1:VIII(1):48
>
tended substance is one of the infiniteattributes
ofG-D. (15:14)
How-
ever, in order to explain more fully, I will refute the arguments of my
adversaries, which all start from the following points:—
[
II ]
(15:15) Extended
substance, in so far as it is substance, consists, as
] and so [
they think, in parts,
wherefore they deny that it can be infinite, or,
Bk.XIV:1:2621.
consequently, that it can appertain to G-d.
(15:16) This
they illustrate
with many examples, of which I will take one or two. (15:17) If extended
substance, they say, is infinite, let it be conceived to be divided into
two parts each part will then be either finite or infinite. (15:18) If the
former, then infinite substance is composed of two finite parts, which
is absurd. (15:19)
If the latter, then one infinite will be twice
as large as
Bk.XIV:1:2741.
another infinite, which is also absurd.
Bk.XII:1811;
Bk.XIII:10366.
(15:20) Further,
if an infinite line be measured out in foot lengths, it will
consist of an infinite number of such parts; it would equally consist
of an infinite number of parts,
if each part measured only an inch:
Bk.XIV:1:2881;
Bk.XVIII:76p15s,
104p15s;
Bk.XIX:3313.
therefore, one infinity would be
twelve times as great as the other.
< Bk.XV:26421
>
(15:21) Lastly,
if from a single point there be conceived
to be drawn two
] See
Sketch, Bk.VII:41[;
Bk.VIII:422.
diverging lines which at first are at a definite
distance apart, but are
^
Bk.XIV:1:2932.
produced to infinity,
it is certain that the distance between the two
lines will be continually increased,
until at length it changes from
{ Bk.XVII:47—"A
remarkable feature ..." }
definite to indefinable.
(15:22) As
these absurdities follow, it is said, from
considering quantity as infinite, the conclusion is drawn, that extend-
ed substance must necessarily be finite, and, consequently, cannot
appertain to the Nature of G-D.
[ III
]
] consummate [
(15:23) The
second argument is also
drawn from G-D's supreme per-
fection. (15:24) G-D, it is said, inasmuch as he is a supremely perfect
being, cannot be passive; but extended substance, in so far as it is
divisible, is passive. (15:25) It follows, therefore, page 57 that extended
substance does not appertain to the essence of G-d.
[
IV ]
(15:26) Such
are the arguments I find on the subject in writers, who by
them try to prove that extended substance
is unworthy of the divine
Spinoza's
Daring
pertain—Bk.XIV:1:2683.
nature, and cannot possibly appertain thereto. (15:27)
However, I think
Satan
an attentive reader will see that I have already answered their pro-
positions; for all their arguments are founded on
the hypothesis that
{ Part
and Whole}
extended substance is composed
of parts, and such a hypothesis
I have shown (Prop.
xii., and Coroll. Prop. xiii.)
to be absurd.
(15:28) Moreover,
anyone who reflects will see that all these absurd-
ities (if absurdities they be,
which I am not now discussing), from
] they seek to prove
[
which it is sought to extract
the conclusion that extended substance
] supposition [
is finite, do not at all follow from the notion of
an infinite quantity, but
Bk.III:184,
185—NeffE5:L29(12):319.
merely from the notion that an infinite
quantity is
measurable, and
composed of finite parts; therefore,
the only fair conclusion to be
Bk.XIV:1:2632;
Bk.XVIII:1981p15s.
drawn is that infinite quantity
is not measurable, and cannot be
Bk.XVIII:10415s.
composed of finite parts. (15:29)
This is exactly what we have already
proved ( in Prop. xii. ). (15:30) Wherefore the weapon which they
aimed at us has in reality recoiled upon themselves. (15:31) If, from
this absurdity of theirs, they
persist in drawing the conclusion that
] surely
[
extended substance must be finite, they will in
good sooth be acting
like a man who asserts that circles have the properties of squares,
and, finding himself thereby landed in absurdities, proceeds to deny
that circles have any centre, from which all lines drawn
to the circum-
] corporeal [
ference are equal. (15:32)
For, taking extended substance, which can
< E1:VIII(1):48
> Bk.XIV:1:2813.
only be conceived as infinite, one,
and indivisible (Props.
viii., v., xii.)
]conceive
[
they assert, in order to prove that it
is finite, that it is composed of
Bk.XIV:1:2853.
finite parts, and
that it can be multiplied and divided.
Bk.XII:180—Wherefore
they ...
< Bk.XV:26422—Neff-E5:L29(12):322
>
(15:33) So,
also, others, after asserting that a line is composed of points,
can produce many arguments to prove that a line cannot be infinitely
divided. (34) Assuredly it is not less absurd to assert that extended
substance is made up of bodies or parts, than it would be to assert
that a solid is made up of surfaces,
a surface of lines, and a line of
Bk.XVIII:85p15s.
points. (35)
This must be admitted by all who know clear
reasonto
be
infallible, and most of all by those who deny the possibility of a
vacuum. (15:36) For if extended substance could be so page 58 divided
that its parts were really separate, why should not one part admit of
being destroyed, the others remaining
joined together as before?
(15:37) And
why should all be so fitted into one another as to leave no
vacuum? (15:38) Surely in the case of things, which are really distinct
one from the other, one can exist without the other, and can remain
in its original condition. (15:39)
As then, there does not exist a vacuum in
< Bk.XV:26423—L9(13):287
>
Nature
(of which anon),
but all parts are bound to come together
to
prevent it, it
follows from this also that the parts cannot be
really
corporeal—Bk.XIV:1:2671.
distinguished, and that
extended substance
in so far as it is
substance cannot be divided.
[
V ]
(15:40) If
anyone asks me the further question, Why are we
naturally
so prone to divide
quantity? (41) I
answer, that quantity is conceived
{1
}
] , or [
by us in two ways; in the abstract
and superficially, as we imagine
{
2 }
{intuition}
it; or as substance,
as we conceive it solely by the intellect. (15:42)
If,
then, we regard quantity as it is represented in our imagination,
which we often and more easily do, we shall find that it is finite,
divisible, and compounded of parts; but if we regard it as it is repre-
sented in our intellect, and conceive it as substance, which it is very
difficult to do, we shall then, as I
have sufficiently proved, find that
[ unique ]
it is infinite,
one, and indivisible. (15:43)
This will be plain enough to all,
< Bk.XV:26424—E2:XL(19)n2:113,
Bk.XV:26955
on E1:Ap(61):81.
>
who make a distinction between
the intellect and the imagination,
Bk.XIV:1:2633.^
especially if it be remembered, that matter
is everywhere the same,
{E=Mc²,
Bk.XVII:21}
that its parts are not distinguishable,
except in so far as we con-
^ 2P13L1
ceive matter as diversely modified, whence its parts
are distinguish-
] Bk.VII:422—E1:XII
& XIII:54 [
ed, not really, but modally.
(15:44)
For instance, water, in so
far as it
is water, we conceive to be divided,
and its parts to be separated
{corporeal}
one from the other; but not
in so far as it is extended substance;
from this point of view it is neither separated
nor divisible. (15:45)
Fur-
{synthesized}
{analyzed}
ther, water, in so far as it is water,
is produced and corrupted; but,
{E=Mc², Bk.XVII:21}
Bk.XVIII:97p15s.
in so far as it is substance,
it is neither produced nor corrupted.
{CashValue—an
all-inclusive uncorrupted organic interdependence.}
[
VI ]
(15:46) I
think I have now answered the second argument;
it is, in fact,
founded on the same assumption as the first—namely, that matter,
in so far as it is
substance, is divisible, and composed of parts.
] not [
(15:47) Even
if it were so, I do not know why it should be considered
unworthy of the divine Nature,
inasmuch as besides G-D (by Prop.
]
external [
{posited}
] from which [
xiv.) no substance
can page 59
be granted, wherefrom
it could
receive its modifications. (15:48)
All things, I repeat, are in G-D, and all
^ Bk.III:177.
things which come to pass, come to pass solely through
the laws of
the infinite Nature
of G-D, and follow (as I will shortly show) from the
Bk.XVIII:1471p15s.
necessity of his essence.
(15:49)
Wherefore it can in nowise
be said,
that G-D is passive
in respect to anything other than himself, or that
Bk.XIV:1:2691.
extended substance is unworthy of the DivineNature,
even if it be
supposed divisible, so long as it is granted to be infinite and eternal.
(15:50) But
enough of this for the present.
2P13L1.
PROP. XVI. Bk.III:197,
198, 200, 202, 204, 208; Bk.XII:1741. Knowing
G-D—Yirmiyahu Yovel—Stewart:177
From the necessity
of the Divine
ST:Metaphor
{ immanently}
Bk.XIB:249.
Nature must ^
follow an infinite num-
E1:Appendix:65
ber of things
in infinite ways—that
E1:Parkinson:26425
is, all things which can fall
within
the sphere of infinite
intellect.
Bk.XIV:1:306,
440.
Bk.XIB:248146;Bk.XVIII:75p16;
122p16;Bk.XIX:1027.
^
1P17,
17S, 25S, 26,
29, 33, 34,
36; 1App.; 2P3,
44C2, 45S;
4Pref., 4;
5P22.
{Cash
Value—an
all-inclusive uncorrupted organic
interdependence.}
Proof.— (16:1)
This proposition will be clear to everyone,
who remem-
] one [;
Bk.XIX:144.
bers that from the given definition
of any thing the intellect infers
several properties, which really necessarily follow therefrom (that is,
from the actual essence of the thing defined); and it infers more pro-
perties in proportion as the definition of the thing expresses more
reality, that is, in proportion as the essence of the thing defined
involves more reality.
(16:2) Now,
as the Divine Nature
has absolutely
Bk.III:176;Bk.XIX:1189.
{G-D
}
infinite attributes
(by Def. vi.), of which
each expresses infinite
essence after its kind, it follows that from
the necessity of its nature
{modes
};
Bk.XVIII:14713—1p25c;Bk.XIX:144.
an infinite number of things (that is, everything
which can fall within
the sphere of an infinite intellect) must necessarily follow. Q.E.D.
< Bk.XV:26425—E1:XVI:59,
< Bk.XV:26526—E1:XVIII:62,
E1:XVI(5)C3:59 >
Bk.XV:27698
on E2:XLIV(11)C2:117
>
Bk.XIV:1:3064,
3572.
Corollary I.— (16:3)
Hence it follows, that G-D is the efficient
cause of
E1:Parkinson:26425
all that can fall within the sphere
of an infinite
intellect.
1P17S, 18,
34.
Bk.III:202,
204.
< Bk.XV:26527
>
Corollary II.— (16:4)
It also follows that G-D is a cause
in himself, and
causa
sui
not through an accident
of his Nature.
1P34.
Conceived
thru itself.
[ Bk.VIII:42545—Bk.XIV:1:307
], Bk.XIV:1:3072.
< Bk.XV:26528—E1:XV:55
>
Corollary III.— (16:5)
It follows, thirdly,
that G-D is the absolutely
first cause—{
Bk.XV:26528,
Bk.XV:xix,
Bk.XVII:7 & 145.}.
Bk.XIV:1:3074.
PROP. XVII. Bk.XIB:249147;Bk.XIV:1:3083,3091,313,
402; Bk.XIX:10411.
Proof.— (17:1) We have just shown (in Prop. xvi.), that solely from the
necessity of the Divine Nature, or, what is the same thing,
solely from
{G-D's}
the laws of his nature, an infinite number of
things absolutely follow
in an infinite number of ways; and we proved (in Prop. xv.), that
without G-D page
60 nothing
can be nor be conceived; but that all
]external
to G-D [
things are in G-D. (17:2)
Wherefore nothing can exist outside
himself,
whereby he can be conditioned or constrained to act. (3) Wherefore
G-D acts solely by the laws of his own Nature, and is not constrained
by anyone. Q.E.D.
Corollary I.— (17:4) It follows:
I. That there
can be no cause which, either extrinsically
or intrinsi-
cally, besides
the perfection of his own Nature,
moves G-D to act.
Bk.XIV:1:313
Bk.XIV:1:3083.
Corollary II.— (17:5)
It follows:
Bk.III:202.
< Bk.XV:26739—E1:XIX(8)N:68
>
2. That G-D
is the sole free cause.
(17:6)
For G-D alone exists
by
Spinoza's
Religion
the
sole necessity of his Nature
(by Prop. xi. and Prop. xiv.,
Coroll.
i.), and acts by the sole necessity of his Nature, wherefore
G-D
is (by Def. vii.) the sole free cause.
Q.E.D.
<
E1:Bk.XV:26739.
> 1P29S;
2P48.
Bk.XIV:1:3083,
3852;
Bk.XVIII:1984,
3051p17c2.
[ Bk.VIII:42547—Bk.XIV:1:308-319
]
{ E1:XXXIII(15):72}
< E1:Bk.XV:26529—E1:XXXV:74,
E1:D.VII:46 >
Note.— (17:7)
Others think that G-D is a free
cause, because he can,
as they think, bring it about,
that those things which we have said
Bk.III:206.
Bk.XIV:1:3142.
Durant:63982
follow from his Nature—that
is, which are in his power,
should not
Wolfson:1:4032
come to pass, or should not be produced by him. (17:8) But this is the
same as if they said, that G-D
could bring it about, that it should not
Bk.XIV:1:901,3981.
follow from the nature of a
triangle, that its three
interior angles
Bk.XIV:1:3131.
Bk.XIB:234100;
Bk.XX:23067.
should not be equal to two right angles;
or that from a given cause
no effect should follow, which is absurd. 1P33S2
(17:9) Moreover,
I will show below, without the aid of this proposition,
Bk.XIX:1038.
that neither intellect nor will
appertain to G-D's Nature.
(17:10) I
know
that there are many who
think that they can show, that supreme
Bk.III:209;Bk.XVIII:1601p17s.
intellect and free
will do appertain to G-D's nature;
for they say they
know of nothing more perfect, which they can attribute to God, than
that which is the highest perfection in ourselves. (17:11) Further,
although they conceive God as actually supremely intelligent, they
yet do not believe, that he can bring into existence everything which
he actually understands, for they think that they would thus destroy
God's power. (17:12) If, they contend, God had created everything
which is in his intellect,
he would not be able to create anything
Bk.XIV:1:3162,
4113;
Bk.XIX:1039.
more, and this, they think,
would clash with God's omnipotence;
therefore, they prefer to assert that God is indifferent to all things,
and that he creates nothing
except that which he has decided, by
Bk.XIV:1:3161.
some absolute exercise of will, to
create. (17:13)
However, I think I
have shown sufficiently clearly (by Prop. xvi. ), that from G-D's
supreme power, or infinite
page 61
Nature, an infinite number
of
Bk.XVIII:75p17s;122p17s.
things—that is,
all things have necessarily flowed forth in an infinite
number of ways, or always follow
from the same necessity; in the
Bk.XIV:1:901,3131.
same way as from the nature of a triangle
it follows from eternity and
for eternity, that its three interior angles are equal
to two right angles.
{Metaphors}
(17:14)
Wherefore the omnipotence of G-D
has been displayed from all
Chain
of Natural Events
Bk.XVIII:2051p17s.
eternity, and will for all eternity
remain in the same state of activity.
(17:15) This manner of treating the question attributes to G-D an omni-
potence, in my opinion, far more perfect. (16) For, otherwise, we are
compelled to confess that God understands an infinite number of
creatable things, which he will never be able to create, for, if he
created all that he understands, he would, according to this showing,
exhaust his omnipotence, and render himself imperfect. (17:17) Where-
fore, in order to establish that God is perfect, we should be reduced
to establishing at the same time, that he cannot bring to pass every-
thing over which his power extends; this seems to be an hypothesis
most absurd, and most repugnant to G-D's
omnipotence.
(17:18) Further
(to say a word here concerning the intellect and the will
which we attribute to God), if intellect and will appertain to the etern-
al essence of God, we must take these words in some
significations
< Bk.XV:26530—E2:XI(7)c:91,
E2:XLIII(5)n:114, E5:XL(5)n:268,
E1:XXI:63 "we
are not to
think of G-D, the ultimate
explanation of all things, as a being
which forms plans (by his intellect) and
carries them out (through his will)."
> {but
that all things flow immanently from
G-D.}
quite different from those they usually bear.
(19) For
intellect and will,
] would [
] have to [
which should constitute the essence of God,
would perforce be as
]
vastly different
[
far apart as the
poles from the human intellect and
will, in fact,
would have nothing in common with them but the name; there would
be about as much correspondence
between the two as there is
] celestial [
between the Dog, the heavenly constellation,
and a dog, an animal
Bk.XVIII:341p17s.
that barks. (17:20)
This I will prove
as follows: If intellect belongs to the
Divine Nature, it cannot be in nature, as ours is generally thought to
be, posterior to, or simultaneous
with the things understood, inas-
Bk.XIV:1:3752.
much as G-D is prior to all things by reason of his casualty
(Prop. xvi.
< E1:Bk.XV:26531;
TEI:Bk.XV:287196
>
Coroll. i.). (17:21)
On the contrary, the
truth and formal essence
of things
^ Bk.XIV:2:2929.
is as it is, because it exists by representation
as such in the intellect
of G-D; Wherefore the intellect of G-D, in so far as it is conceived to
constitute G-D's essence, is,
in reality, the cause of things, both of
their essence and of their
existence. (17:22)
This seems to page
62 have
been recognized by those who have
asserted, that G-D's
intellect,
Bk.XIV:2:1711.
G-D's will, and G-D's power, are one
and the same. (23) As,
therefore,
G-D's intellect is the sole cause of things, namely, both of their
essence and existence, it must necessarily differ from them in respect
to its essence, and in respect
to its existence. (17:24)
For a cause
Bk.III:208.
differs from a thing it causes, precisely
in the quality which the latter
gains from the former.
Bk.III:204.
(17:25) For
example, a man is the cause
of another man's existence,
but not of his essence (for the latter is an eternal truth), and, there-
fore, the two men may be entirely similar in essence, but must be
different in existence; and hence if the existence of one of them
cease, the existence of the other will not necessarily cease also;
but if the essence
of one could be destroyed, and be made false,
Bk.XIX:19410.
the essence of the other would be destroyed also. (17:26)
Wherefore,
a thing which is the cause both of the essence and of the existence
of a given effect, must differ from such effect both in respect to its
essence, and also in respect to its existence. (17:27) Now the intellect
of G-D is the cause of both the essence and the existence of our
intellect; therefore the intellect of G-D in so far as it is conceived
to constitute the divine essence, differs from our intellect both in
respect to essence and in respect to existence, nor can it in anywise
agree therewith save in name, as we said before. (17:28) The reasoning
would be identical, in the case of the will,
as anyone can easily see..
PROP. XVIII. Bk.XIB:250149;
Bk.XIV:1:111, 319, 322; Bk.XVIII:113p18.
Bk.III:157, 176 202. 208.
G-D is
the indwelling [immanent]
and
Durant:63984
not the transient
cause of all things.
Bk.XIV:1:323.
{Analogy—You
are the immanent cause of all things that pertain to you.}
{ E1:XV:55;
Cash Value—Posits}
Proof.— (18:1) All things which are, are in G-D, and must be con-
ceived through G-D (by Prop. xv.), therefore (by Prop. xvi., Coroll. i.)
G-D is the cause of those things which are in him. (2) This is our first
point. (18:3) Further, besides G-D there can be no substance (by
Prop. xiv.), that is nothing in itself external to G-D. (18:4) This is our
second point. (18:5) G-D therefore, is the indwelling and not the
transient cause of all things.
Q.E.D.
PROP. XIX. Bk.XIV:1:370-399;
Bk.XIX:132.
G-D, and all
the attributes
of G-D, are eternal.
1P20.
Bk.XIV:1:3753.
Proof.— (19:1)
G-D (by Def. vi.
) is substance, which (by Prop.
xi.)
Bk.XIV:1:3755—pertains
necessarily exists, that is (by Prop.
vii.) existence appertains to its
Nature, or (what is the same thing) follows page 63 from its definition;
therefore, G-D is eternal (by Def. viii.). (2) Further, by the attributes
of G-D we must understand that which (by Def. iv.) expresses the
essence of the divine substance—in
other words, that which apper-
Bk.XIX:1612.
tains to substance: that, I say, should be involved in the
attributes of
substance. (19:3) Now eternity appertains to the nature of substance
(as I have already shown in Prop. vii.); therefore, eternity must
appertain to each of the attributes, and thus all are eternal. Q.E.D.
Bk.XVIII:147p19d,
14713—1p25c.
Note.— (19:4)
This proposition
is also evident from the manner in
which (in Prop. xi.) I demonstrated the existence of G-D; it is evident,
I repeat, from that proof, that
the existence of G-D, like his essence,
Bk.XIV:1:3758.
is an eternal
truth. (19:5) Further
(in Prop. xix. of my "Principles of the
< Bk.XV:26532—E1:XXXIII(21)N2:72
>
Cartesian Philosophy"), I have
proved the eternity of
G-D, in another
manner, which I need not here repeat.
Proof.— (20:1)
G-D
(by the last Prop.) and all his attributes are eternal,
Bk.XIX:1612.
that is (by Def.
viii.) each of his attributes
expresses existence.
(20:2) Therefore
the same attributes of G-D which explain his eternal
] Def. iv [
essence, explain at the same
time his eternal existence—in other
words, that which constitutes G-D's essence constitutes at the
same time his existence. (20:3)
Wherefore G-D's existence and G-D's
Bk.XIX:16021.
essence are one and the same. Q.E.D.
Bk.XIX:132.
Corollary I.— (20:4)
Hence it follows that
G-D's existence, like his
essence, is an eternal truth.
Bk.XIV:1:3758.
Corollary II.— (20:5)
Secondly, it follows that G-D,
and all the attrib-
utes of G-D, are unchangeable. (6)
For if they could be changed in
respect to existence, they
must also be able
to be changed in
respect to essence ]Prop.
xx.[—that is, obviously,
be changed
from true to false, which is absurd. 1P21;
5P17.
Bk.III:202—immutable
Bk.XIV:1:3755;Bk.XVIII:64p19,20c2;
2081p20c2.
PROP. XXI. Bk.III:202,
203; Bk.XIV:1:376; Bk.XVIII:88p21,22—E1:D.II:45,
Bk.XVIII:111p21,22—E1:D.VIII:46.
All things
which follow from the
absolute Nature
of any attribute
of G-D must ]have[
always existed
Calculus:4.7
and be infinite, or, in other words,
<
Bk.XV:26633—Neff-L66(64):400,
E2:Ax.1:93. >
< Bk.XV:26530—E1:XVII(18)N:61.
>
< Bk.XV:26737—E1:XXVIII(8)N:67.
>
< Bk.XV:285178—E5:XL(5)N:268.
>
{Bk.XII:1651—Neff-L68(66):401.}
are eternal
and infinite through
the said attribute.
{E1:Endnote
21:5}
1P22, 28,
29, 1App.; 2P11,
30; 4P4; 5P40S
]
Suppose, if you can
[
Proof. (21:1)
Conceive, if
it be possible (supposing the proposition
to be denied), that something in some attribute of G-D can follow
from the absolute Nature of the said attribute,
and that at the same
[determinate]
<fixed>
Bk.XIV:1:3532.
time it is finite, and page
64 has a conditioned
existence or duration;
[Bk.VIII:42954—E2:III:84,
E2:VII(3)c:86; Bk.XIV:1:238ff;
Bk.XII:165,187. ]
]Bk.VII:474
on E1:Endnote
21:1 [
for instance, theidea
of G-D expressed in the attribute thought.
Bk.XIV:1:2384
^ >infinite
intellect of G-D—Bk.III:203
<
(21:2) Now
Thought, in so far
as it is supposed to be an attribute of
] ^ assumed[
G-D, is necessarily (by Prop. xi.) in its
Nature infinite.
(21:3) But,
in so
{ man's }
far as it possesses the idea of G-D
it is supposed finite. (3a)
It cannot,
] determined[
however, be conceived as finite, unless it be limited
by Thought (by
Def. ii.); but it is not limited
by Thought itself, in so far as it has
con-
{ man's }
stituted the idea of G-D (for
so far it is supposed to be finite); there-
] determined[
fore, it is limited by Thought,
in so far as it has not constituted the
] E1:Endnote
21:1 [
idea of G-D,
which nevertheless (by Prop. xi.) must
necessarily
exist.
] There must be,
[
(21:4)
We have now granted, therefore,
thought not constituting the
] E1:Endnote
21:1 [
{ man's }
idea of G-D,
and, accordingly, the idea
of G-D does not naturally
follow from its Nature in so far as it is absolute Thought (for it is con-
ceived as constituting, and also as not constituting,
the idea of G-D),
] contrary to [
which is against our hypothesis.
(21:5) Wherefore,
if the idea of G-D
expressed in the attribute Thought, or, indeed, anything else in any
attribute of G-D ( for we may take any
example, as the proof is of
{E1:Endnote
21:5 }
universal application)
follows from the necessity of the absolute
Nature of the said attribute, the said thing must necessarily be infinite,
which was our first point.
(21:6) Furthermore, a thing which thus follows from the necessity of the
Nature of any attribute cannot have a limited duration. (7) For if it can
suppose a thing, which follows from the necessity of the nature of
some attribute, to exist in some
attribute of G-D, for instance, the
] E1:Endnote
21:1 [
idea
of G-D expressed in the attribute
Thought, and let it be sup-
posed at some time not to have existed, or to be about not to exist.
] assumed [
(21:8)
Now Thought
being an attribute of G-D, must necessarily exist
] immutable[
unchanged (by Prop. xi., and Prop.
xx., Coroll. ii.); and beyond the
Bk.XVIII:2041p21d.
{ wrongly }
limits of the duration of the
idea of G-D (supposing the latter
at some
time not to have existed, or not to be going to exist), Thought would
perforce have existed without the idea of G-D, which is contrary to
our hypothesis, for we supposed that, Thought being given, the idea
of G-D necessarily flowed therefrom. (21:9) Therefore the idea of G-D
expressed in Thought, or anything which necessarily page 65 follows
from the absolute Nature
of some attribute of G-D,
cannot have a
] determinate
existence [
limited duration, but through
the said attribute is eternal, which is our
second point. (21:10)
Bear in mind that the same proposition
may be
affirmed of anything, which in any attribute necessarily follows from
PROP. XXII. Bk.III:203;
Bk.XVIII:88p21,22—E1:D.II:45,
Bk.XVIII:111p21,22—E1:D.VIII:46.
Whatsoever follows from any attribute
of G-D, in so far as it
is modified by
a modification,
which exists neces-
Bk.XIV:1:378.
sarily and as infinite,
through the said
attribute, must also exist necessarily,
and as infinite. 1P28,
1App; 2P11
< Bk.XV:26634—Neff-L66(64):399;last
paragraph. >
< Bk.XV:26737—E1:XXVIII(8)N:67.
>
< Bk.XV:27276—E2:XIII(30)N2:96.
>
{ Bk.XII:1651—Neff-L68(66):401.}
Proof.— (22:1)The
proof of this proposition is similar to that of the
preceding one.
{ Good
luck! }
{ Bk.XII:1651—Neff-L68(66):401}
Every mode, which
exists both Bk.XIV:1:379.
necessarily and as infinite,
must
Analogy
necessarily follow either from the
absolute
Nature of some attribute
of G-D,
or from an attribute
modified by a modification
which
exists necessarily, and as infinite.
1App.
Proof.— (23:1)
A mode exists in something else, through which
it must
be conceived (Def. v.), that is (Prop. xv.), it exists solely in G-D, and
solely through G-D can be conceived. (23:2) If, therefore, a mode is
conceived as necessarily existing and infinite, it must
necessarily be
Bk.XIX:10513.
inferred or perceived through some
attribute of G-D,
in so far as
such attribute is conceived as expressing
the infinity and necessity
Bk.XIV:1:3791.
of existence, in other words (Def. viii.)
eternity; that is, in so far as it
is considered absolutely. (23:3)
A mode, therefore,
which necessarily
G-D at 100% °P
{ Bk.XII:187
}
exists as infinite,
must follow from the absolute Nature
of some attri-
] directly [
Bk.XIV:1:2442.
] mediation [
bute of G-D, either immediately
(Prop. xxi.) or through
the means of
some modification, which follows from the absolute Nature of the
said attribute; that is (by Prop. xxii.), which exists necessarily and as
infinite.
PROP. XXIV. Bk.III:204;
Bk.XIV:1:1261,3849;
Bk.XVIII:2351p24,c;
Bk.XIX:1938.
Proof.— (24:1) This proposition is evident from (Def. i). (24:2) For that
of which the Nature (considered in itself) involves existence is self- Conceived thru itself.
caused,
and exists by the sole necessity of its own Nature.
Corollary.—
(24:3)
Hence it follows that G-D is
not only the cause of
Bk.XIV:1:3826.
things coming into existence, but also of their continuing
in existence,
that is, in scholastic
phraseology, page 66 G-D
is cause of the being
{ ^ the immanent}
of things (essendi rerum).
(4) For
whether things exist, or do not exist,
] reflect on [
whenever we contemplate their essence,
we see that it involves
Bk.XVIII:2351p24,c.
neither existence nor duration;
consequently, it cannot be the cause
Bk.XVIII:1984.
of either the one or the other. (24:5)
G-D must be
the sole cause, inas-
much as to him alone does existence appertain. (Prop.xiv. Coroll. i.)
Q.E.D. 1P28,
1P28S; 2P45S;
4P4.
PROP. XXV. Bk.III:204,
205; Bk.XVIII:1281;
Bk.XIX:1937;Bk.
32:pg50.
G-D is the efficient
cause not only Cash
Value—Posits
of the existence of things,
but also
of their essence.
1P26; 5P22,
24.
Bk.XIV:1:3831.
Proof.— (25:1) If this be denied, then G-D is not the cause of the es-
sence of things; and therefore the essence of things can (by Ax.iv.)
be conceived without G-D.
(25:2)
This (by Prop.
xv.) is absurd.
Bk.III:14318
(25:3) Therefore,
G-D is the cause of the essence of things. Q.E.D.
Note.— (25:4)
This proposition
follows more clearly from Prop.
xvi.
(5) For it is evident thereby that, given the Divine Nature, the essence
of things must be inferred from it, no less than their existence—in a
word, G-D must be called the cause of all things, in the
same sense
Bk.XIX:1003;16420.
as he is called the cause
of himself. (25:6)
This will be made still
clearer by the following corollary. {L65(63):396, Neff—L66(64):399 }
Bk.XVIII:141p25c,34.
] Particular[
] affections[
Corollary.— (25:7)
Individual things
are nothing but modifications
of
the attributes
of G-D, or modes
by which the attributes of G-D are
<
Bk.XV:26635;26313
on E1:V:47.
>; Bk.XVIII:92p25c,14713;
Bk.XX:23067.
expressed in a fixed and definite
manner. (25:8)
The proof appears
>
^ Bk.III:204
<
from Prop. xv. and Def. v.
1P28, 36;
2D1, 2P1, 5,
10C; 3P6;
5P36.
Spinoza's Pantheism
PROP. XXVI. Bk.III:204;Bk.XIV:1:385.
]determined[
A thing which is conditioned
to act
Satan
in a particular manner, has
necessarily
been thus conditioned by
G-D; and
that which has not been conditioned
by G-D cannot condition itself
to act.
Bk.XIV:1:385.
{ Analogy
- healthy living or unhealthy living.
} 1P28,
1P29.
Proof.— (26:1) That by which things are said to be conditioned to act
in a particular manner is necessarily something positive (this is obvi-
ous); therefore both of its essence
and of its existence G-D by the
Bk.XIX:13726.
necessity of his Nature
is the efficient cause (Props.
xxv. and xvi.);
this is our first point. (26:2) Our second point is plainly to be inferred
therefrom. (3) For if a thing, which has not been conditioned by G-D,
could condition itself, the first part of our proof would be false, and
this, as we have shown, is absurd.
]determined[
A thing, which has been conditioned
by G-D
to act in a particular way,
Calculus:6.2b
& c, Fig. 4.
cannot render itself unconditioned.
Bk.XIV:1:387—indeterminate.
Proof.— (27:1)
This proposition is evident from the third
axiom.
page 67
PROP. XXVIII. Bk.III:204;
Bk.XIV:1:389, 2:32; Bk.XVIII:112p28,
124p28,
3161p28;
Bk.XIX:2011.
< particular
> Knowing
G-D—Yirmiyahu Yovel—Stewart:177
Every individual thing,
or everything
{ a
mode }
] determined[
which is finite and
has a conditioned Knowing
G-D—Yirmiyahu Yovel
< Bk.XV:26736—E2:XLV(6)N:118.
>
existence, cannot exist
or be condi-
Spinoza's
Religion
Bk.XIV:1:3732,
2:2421.
tioned to act, unless it be conditioned
for existence and action by a
cause
Organic
Interdependence
other than itself, which also is finite,
and has a conditioned existence; and
likewise this cause cannot in its turn
exist, or be conditioned to act, unless
it be conditioned for existence
and
Chain
of Events
action by another cause, which
also
is finite,
and has a conditioned
existence,
and so on to infinity.
1P32;
2P9, 13L3,
30, 31, 48;
4P29; 5P6.
Bk.XIB:239122.
]determined[
Proof.— (28:1)
Whatsoever is conditioned
to exist and act, has been
thus conditioned by G-D (by Prop. xxvi. and Prop. xxiv. Coroll.)
(28:2) But that which is finite and has a conditioned existence, cannot
be produced by the absolute Nature
of any attribute of G-D; for what-
Bk.XIV:1:389,
3913.
soever follows from the absolute
Nature of any attribute of G-D is
infinite and eternal (by Prop. xxi). (28:3)
It must, therefore, follow from
some attribute of G-D, in so far as the said attribute is considered
as in some way modified;
for substance and modes make up the
]Cor.Pr.25
[
sum total of existence (by Ax. i.
and Def. iii., v.), while
modes are
] affections[
merely modifications of the
attributes of G-D. (28:4)
But from G-D, or
^ Bk.XIV:1:3931.
from any of his attributes,
in so far as the latter is modified by a
{universal
application}
]1P22
[
modification infinite and eternal, a conditioned
thing cannot follow.
(28:5) Wherefore it must follow from, or be conditioned for, existence
and action by G-D or one of his attributes, in so far as the latter are
modified by some modification which is finite and has a conditioned
existence. (28:6) This is our first point. (28:7) Again, this cause or this
modification (for the reason by which we established the first part of
this proof) must in its turn be conditioned by another cause, which
also is finite, and has a conditioned existence, and again, this last
by another (for the same reason); and so on (for the same reason)
to infinity. Q.E.D.
< Bk.XV:26737>]directly[
Note.— (28:8)
As certain things must
be produced immediately
by
< Bk.XV:26737—E2:XXI
& XXII:102. >
< Bk.XV:26633—Neff-L66(64):400,
E2:Ax.1:93. >
< Bk.XV:26634—Neff-L66(64):399,
E2:XIII(30)N2:96. >
G-D, namely those things which necessarily follow from his absolute
Nature, through the
means of these primary attributes, which, never-
[Latin
text corrupted—Bk.VIII:43359—Bk.XIV:1:390.]
theless, can neither exist nor be conceived without G-D,
it follows:—
{E1:Endnote
28:8} Bk.III:176;
Bk.XIV:1:2441.
1. (28:9)
That G-D is absolutely the proximate
cause of those things
immediately
produced by him. (28:10)
I say absolutely, not after
his kind, as
is usually stated. (28:11) For
the effects of G-D cannot
either
exist or be conceived without a cause
(Prop. xv. and
Prop.
xxiv., Coroll.).
page 68
Bk.III:157;
Bk.XIV:2:324,
2:1435.
2. (28:12)
That G-D cannot properly be styled
the remote
cause of
individual things, except for the sake
of distinguishing these
from what he immediately produces, or rather from what follows
from his absolute nature. (13)
For, by a remote cause, we under-
stand a cause which is in no
way conjoined to the effect.
^Bk.III:204.
(28:14) But
all things which are, are in G-D, and so depend
on
G-D, that without him they can neither
be nor be conceived.
PROP. XXIX. Bk.XVIII:121p29,
222p29,36—3p7,
3201p29;
Bk.XX:187.
{ EL:[44]:xxiv
}
]Nature
[
< E1:Bk.XV:26844
>
Nothing in the universe is contingent, JP:Wolfson:1:400—Determinism
< determined,
SCR:Bk.XV:xx-xxii.>
but all things are conditioned to exist
Bk.III:205;
Bk.XIB:250149.
and operate in a particular manner by
< E1:Bk.XV:26738.
TEI:[53]:19,
TEI:[12]:6. > E5:Wolfson:2:268
the necessity
of the Divine Nature.
G-D
sive Natura
1P32C2,
33; 2P31C, 44;
3P7; 5P6.
Proof.— (29:1)
Whatsoever is,
is in G-D (Prop. xv.).
(2) But
G-D cannot
be called a thing contingent. (3) For (by Prop. xi.) he exists necessar-
ily, and not contingently. (29:4) Further, the modes of the Divine Nature
follow therefrom necessarily, and not contingently
(Prop. xvi.); and
[by
1P21 ]
they thus follow, whether we consider the
Divine Nature
absolutely
Bk.XIV:1:3734.
or whether we consider it as in any
way conditioned to act (Prop.
xxvii.). (29:5) Further, G-D is not only the cause of these modes, in so
far as they simply exist (by Prop. xxiv.,
Coroll.), but also in so far as
] determined[
< doing anything. >
they are considered as conditioned for
operating in a particular man-
] action[
ner (Prop. xxvi.). (29:6)
If they be not conditioned by G-D (Prop.
xxvi.),
it is impossible, and not contingent, that they should condition them-
selves; contrariwise, if they be conditioned by G-D, it is impossible,
and not contingent that they should render themselves
uncondition-
ed. (29:7)
Wherefore all things are conditioned by the
necessity of the
Divine Nature, not
only to exist, but also to exist and operate in a
] definite
way [
] thus [
particular manner, and there is
nothing that is contingent.
Q.E.D.
Note.— (29:8)
Before going any further,
I wish here to explain, what
< E1:Bk.XV:26739—E1:XVII(5)C2:60
>;
Bk.III:206; Bk.XIB:230;Bk.XIV:1:3995;
Bk.XVIII:119p29s;
Bk.XX:24370.
we should understand by Nature
viewed as active (natura naturans),
Blake
McBride
]Bk.VII:2411
[
and nature viewed as passive
(natura naturata). (29:9)
I say to explain,
^ Bk.III:202.
or rather call attention to it, for I think that, from what
has been said,
it is sufficiently clear, that by Nature viewed as active we should
understand that which is in itself, and is conceived
through itself, or
{ knowable attributes—Extension
and Thought }
those attributes
of substance, which
express eternal and infinite
essence, in other words
(Prop. xiv.Cor. i., and Prop. xvii.Cor.
ii.) G-D,
Bk.XIV:1:2551.
in so far as he is considered as a free
cause. {Analogy—E1:Endnote
29:10}
page 69
naturata—Bk.XX:23171.
(29:10) By
nature ^
viewed as passive I understand all that
which follows
Bk.III:179;
Naturans.
from the necessity of the Nature
of G-D, or of any of the attributes
of
Bk.XIV:1:2553.
G-D, that is, all the modes
of the attributes of G-D, in so far as they
are considered as things
which are in G-D, and which without G-D
Bk.XIV:1:2554.
cannot exist or be conceived. {Analogy—E1:Endnote
29:10} 1P31.
PROP. XXX. Bk.III:206,
210; Bk.VII:526;
Bk.XIV:1:400-424; 2:461;Bk.XIX:1658.
< Bk.XV:26740—E1:XXXI(4)N:69,
actuality; E1:XXXIII(10)N2:73>
Intellect, in function (actu)
finite,
or in function infinite,
must com-
prehend the attributes of G-D
and
the modifications of
G-D, and
EL:Endnote
Dijn:211.
nothing else. 2P4.
E1:XIV(4)C2:55.
Bk.III:197,
80—TEI:L64(60):395
] ideate,
Bk.VII:2513—E2:XLVIII(9)
& XLIX:120[
Proof.— (30:1)
A true
idea must
agree with its object (Ax. vi.); in other
Bk.XIB:249.
words (obviously), that which is contained
in the intellect in repre-
] exist
[ Bk.III:207.
sentation must necessarily be granted in Nature.
(30:2) But
in Nature
Bk.XVIII:104p30d,
(by Prop. xiv.Coroll.
i.) there is no substance
save G-D, nor any
modifications save those (Prop. xv.) which are in G-D, and cannot
without G-D either be or be conceived.
(30:3) Therefore
the intellect,
<
actuality >
< actuality >
in function finite, or in function infinite,
must comprehend the attri-
] affections[
butes of G-D and the modifications
of G-D, and nothing else. Q.E.D.
PROP. XXXI. Bk.XVIII:119p31.
< actuality, E1:XXXI(4)N:69
>
The intellect in function, whether
[ like ]
^ Bk.III:206,
207.
finite or infinite, as will, desire,
love,
Durant:63983
[ must ]
]related [
etc., should be referred to passive
< E1:Bk.XV:26739—E1:XVII(5)C2:60
>
nature and not to
active Nature.
Bk.XIV:1:405.
{natura naturata}
{natura
naturans}
[ E1:Bk.VIII:43463
] {