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postuma�察�preceding his Ethics�察�and also in the letter quoted above�察�he has two circles�察�one of
which lies within the other�察�which have not�察�however�察�a common centre。

              ^The inequalities of the space between A B and C D exceed every number�察�and
              yet the space which lies between is not so very great。 ̄ That is to say�察�if I wish
              to determine them all�察�I must enter upon an infinite series。 This ^beyond ̄
              always�察�however�察�remains defective�察�is always affected with negation�察�and yet
              this false infinite is there to hand�察�circumscribed�察�affirmative�察�actual and present
              in that plane as a complete space between the two circles。 Or a finite line
consists of an infinite number of points�察�and yet the line is present here and determined�察�the
^beyond ̄ of the infinite number of points�察�which are not complete�察�is in it complete and called
back into unity。 The infinite should be represented as actually present�察�and this comes to pass in
the Notion of the cause of itself�察�which is therefore the true infinity。 As soon as the cause has
something else opposed to it ! the effect ! finitude is present�察�but here this something else is at
the same time abrogated and it becomes once more the cause itself。 The affirmative is thus
negation of negation�察�since�察�according to the well´known grammatical rule�察�duplex negatio
affirmat。 In the same way Spinoza's earlier definitions have also the infinite already implied in
them�察�for instance in the case of the just mentioned cause of itself�察�inasmuch as he defines it as that
whose essence involves existence ��supra�察�p。 258��。 Notion and existence are each the Beyond of
the other�察�but cause of itself�察�as thus including them�察�is really the carrying back of this ^beyond ̄
into unity。 Or ��supra�察�p。 259�� ^Substance is that which is in itself and is conceived from itself�察�
that is the same unity of Notion and existence。 The infinite is in the same way in itself and has also
its Notion in itself�察�its Notion is its Being�察�and its Being its Notion�察�true infinity is therefore to be
found in Spinoza。 But he has no consciousness of this�察�he has not recognized this Notion as
absolute Notion�察�and therefore has not expressed it as a moment of true existence�察�for with him the
Notion falls outside of existence�察�into the thought of existence。

g。 Finally Spinoza says in the seventh place�此 �God is a Being absolutely infinite�察�i。e。 a substance
consisting of infinite attributes�察�each of which expresses an eternal and infinite essence。 ̄ Does
substance�察�one might here ask�察�possess an infinite number of attributes�拭�But as with Spinoza there
are only two attributes�察�thought and extension�察�with which he invests God�察 �infinite ̄ is not to be
taken here in the sense of the indeterminate but positively�察�as a circle is perfect infinity in itself。

The whole of Spinoza's philosophy is contained in these definitions�察�which�察�however�察�taken as a
whole are formal�察�it is really a weak point in Spinoza that he begins thus with definitions。 In
mathematics this method is permitted�察�because at the outset we there make assumptions�察�such as
that of the point and line�察�but in Philosophy the content should be known as the absolutely true。 It
is all very well to grant the correctness of the name´definition�察�and acknowledge that the word
^substance ̄ corresponds with the conception which the definition indicates�察�but it is quite another
question to determine whether this content is absolutely true。 Such a question is not asked in the
case of geometrical propositions�察�but in philosophic investigation it is the very thing to be first
considered�察�and this Spinoza has not done。 Instead of only explaining these simple thoughts and
representing them as concrete in the definitions which he makes�察�what he ought to have done was
to examine whether this content is true。 To all appearance it is only the explanation of the words
that is given�察�but the content of the words is held to be established。 All further content is merely
derived from that�察�and proved thereby�察�for on the first content all the rest depends�察�and if it is
established as a basis�察�the other necessarily follows。 ^The attribute is that which the understanding
thinks of God。 ̄ But here the question is�此�How does it come that besides the Deity there now
appears the understanding�察�which applies to absolute substance the two forms of thought and
extension�拭�and whence come these two forms themselves�拭�Thus everything proceeds inwards��
and not outwards�察�the determinations are not developed from substance�察�it does not resolve itself
into these attributes。

2。 These definitions are followed by axioms and propositions in which Spinoza proves a great
variety of points。 He descends from the universal of substance through the particular�察�thought and
extension�察�to the individual。 He has thus all three moments of the Notion�察�or they are essential to
him。 But the mode�察�under which head falls individuality�察�he does not recognize as essential�察�or as
constituting a moment of true existence in that existence�察�for it disappears in existence�察�or it is not
raised into the Notion。

a。 The main point then is that Spinoza proves from these Notions that there is only One
Substance�察�God。 It is a simple chain of reasoning�察�a very formal proof。 ^Fifth Proposition�此�There
cannot be two or more substances of the same nature or of the same attribute。 ̄ This is implied
already in the definitions�察�the proof is therefore a useless and�察�wearisome toil�察�which only serves to
render Spinoza more difficult to understand。 ^If there were several ̄ ��substances of the same
attribute�� ^they must be distinguished from one another either by the diversity of their attributes or
by the diversity of their affections ̄ ��modes��。 ^If they are distinguished by their attributes�察�it would
be directly conceded that there is only one substance having the same attribute。 ̄ For the
attributes are simply what the understanding grasps as the essence of the one substance�察�which is
determined in itself�察�and not through anything else。 ^But if these substances were distinguished by
their affections�察�since substance is by nature prior to its affections it would follow that if from
substance its affections were abstracted and it were regarded in itself�察�i。e。�察�in its truth�察�it could
henceforth not be regarded as distinct from other substances。 ̄ ^Eighth Proposition�此�All substance
is necessarily infinite。 Proof�此�For otherwise it must be limited by another substance of the same
nature�察�in which case there would be two substances of the same attribute�察�which is contrary to the
fifth proposition。 ̄ ^Every attribute must be conceived for itself�察院�as determination reflected on
itself。 ^For attribute is what the mind conceives of substance as constituting its essence�察�from
which it follows that it must be conceived through itself�察院�i。e。�察�substance is what is conceived
through itself ��see the fourth and third definitions��。 ^Therefore we may not argue from the plurality
of attributes to a plurality of substances�察�for each is conceived by itself�察�and they have all been��
always and at the same time�察�in substance�察�without the possibility of the one being produced by the
other。 ̄ ^Substance is indivisible。 For if the parts retained the nature of the substance�察�there would
be several substances of the same nature�察�which is contrary to the fifth proposition。 If not�察�infinite
substance would cease to exist�察�which is absurd。 ̄��3��

^Fourteenth Proposition�此�No other substance than God can either exist or be conceived。 Proof��
God is the absolutely infinite substance�察�to whom can be denied no attribute which expresses the
essence of substance�察�and He exists necessarily�察�therefore if there were a substance other than
God�察�it must be explained by means of an attribute of God。 ̄ Consequently the substance would
not have its own being�察�but that of God�察�and therefore would not be a substance。 Or if it were still
to be substance�察 �then there would necessarily follow the possibility of there being two
substances with the same attribute�察�which according to the fifth proposition is absurd。 From this it
then follows that the thing extended and the thing that thinks ̄ are not substances�察�but ^are either
attributes of God�察�or affections of His attributes。 ̄ By these proofs and others like them not much
is to be gained。 ^Fifteenth proposition�此�What is�察�is in God�察�and cannot exist or be conceived
without God。 ̄ ^Sixteenth proposition�此�By the necessity of the divine nature infinite things must
follow in infinite modes�察�i。e。�察�all that can fall under the infinite understanding。 God is therefore the
absolute First Cause。 ̄

Spinoza then ascribes freedom and necessity to God�此 �God is the absolute free cause�察�who is
determined by nothing outside of Himself�察�for He exists solely by the necessity of His nature。 There
is no cause which inwardly or outwardly moves Him to act�察�except the perfection of His nature。
His activity is by the laws of His Being necessary and eternal�察�what therefore follows from His
absolute nature�察�from His attributes�察�is eternal as it follows from the nature of the triangle from
eternity and to eternity that it�察�three angles are equal to two right angles。; That is to say�察�His Being
is His absolute power�察�actus and potentia�察�Thought and Being�察�are in Him one。 God has not
therefore any other thoughts which He could not have actualized。 ^God is the immanent cause of
all things�察�not the transient ��transiens���察院�i。e。�察�external cause。 ^His essence and His existence are
the same�察�namely�察�the truth。 A thing which is determined to perform some action�察�is�察�since God is
cause�察�necessarily determined thereto by God�察�and a thing which is thus determined cannot render
itself undetermined。 In nature nothing is contingent。 Will is not a free cause�察�but only a necessary
cause�察�only a mode�察�it is therefore determined by another。 God acts in accordance with no final
causes ��sub ratione boni��。 Those who assert that He does so�察�appear to establish something
apart from God�察�which does not depend on God�察�and which God in His working keeps in view�察�as
though it were an end。 If this view is taken�察�God is not a free cause�察�but is subject to fate。 It is
equally inadmissible to subject all things to the arbitrary pleasure of God�察�i。e。�察�to His indifferent
will。 ̄��4�� He is determined solely by His own nature�察�the activity of God is thus His power�察�and that
is necessity。 He is then absolute power in contrast to wisdom�察�which sets up definite aims�察�and
consequently limitations�察�particular aims�察�thoughts of what is about to come to pass�察�and the like
are therefore put out of the question。 But beyond this universal�察�no advance is made�察�for it must be
noticed a negation。 Moreover�察�if God is the cause of the world�察�it is implied that He is finite�察�for the
world is here put beside God as something different from Him。

b。 The greatest difficulty in Spinoza is�察�in the distinctions to which he comes�察�to grasp the relation
of this determinate to God�察�at the same time preserving the determination。 ^God is a thinking
Being�察�because all individual thoughts are modes which express God's nature in a certain and
determinat

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