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being as something； but； as the one； is immediately this negative point itself。 But the being which
here is limited is essentially a continuity； by virtue of which it passes beyond the limit； beyond this
one； to which it is indifferent。 Real discrete quantity is thus a quantity； or quantum…quantity as a
determinate being and a something。
Since the one which is a limit includes within itself the many ones of discrete quantity； it equally
posits them as sublated within it； and because it is a limit of continuity simply as such； the
distinction between continuous and discrete magnitude is here of no significance； or； more
correctly； it is a limit to the continuity of the one as much as of the other； both undergo transition
into quanta。
Chapter 2 Quantum
Quantum； which to begin with is quantity with a determinateness or limit in general is； in its
complete determinateness； number。 Quantum differentiates itself secondly； into （a） extensive
quantum； in which the limit is a limitation of the determinately existent plurality； and （b） intensive
quantum or degree； the determinate being having made the transition into being…for…self。 Intensive
quantum as both for itself and at the same time immediately outside itself — since it is an
indifferent limit — has its determinateness in an other。 As this manifest contradiction of being
determined simply within itself yet having its determinateness outside it； pointing outside itself for it；
quantum posited as being in its own self external to itself； passes over thirdly； into quantitative
infinity。
A。 NUMBER
Quantity is quantum； or has a limit； both as continuous and as discrete magnitude。 The difference
between these two kinds has here； in the first instance； no immediate significance。
The very nature of quantity as sublated being…for…self is ipso facto to be indifferent to its limit。 But
equally； too； quantity is not unaffected by the limit or by being； a quantum； for it contains within
itself as its own moment the one； which is absolutely determined and which； therefore； as posited
in the continuity or unity of quantity； is its limit； but a limit which remains what it has become；
simply a one。
This one is thus the principle of quantum； but as the one of quantity。 Hence； first； it is continuous；
it is a unity； secondly； it is discrete； a plurality of ones； which is implicit in continuous； or explicit in
discrete magnitude； the ones having equality with one another； possessing the said continuity； the
same unity。 Thirdly； this one is also a negation of the many ones as a simple limit； an excluding of
its otherness from itself； a determination of itself in opposition to other quanta。 Thus the one is ＇a＇
self…relating； ＇b＇ enclosing and ＇c＇ other…excluding limit。
Quantum completely posited in these determinations is number。 The complete positedness lies in
the existence of the limit as a plurality and so in its distinction from the unity。 Consequently；
number appears as a discrete magnitude； but in the unity it equally possesses continuity。 It is；
therefore； also quantum in its complete determinateness； for its principle the one； the absolutely
determinate。 Continuity； in which the one is present only in principle； as a sublated moment —
posited as a unity — is the form of indeterminateness。
Quantum； merely as such； is limited generally； its limit is an abstract simple determinateness of it。
But in quantum as number； this limit is posited as manifold within itself。 It contains the many ones
which constitute its determinate being； but does not contain them in an indeterminate manner； for
the determinateness of the limit falls in them； the limit excludes other determinate being； that is；
other pluralities and the ones it encloses are a specific aggregate； the amount — which is the form
taken by discreteness in number — the other to which is the unit； the continuity of the amount。
Amount and unit constitute the moments of number。
As regards amount； we must see more closely how the many ones of which it consists are present
in the limit； it is correct to say of amount that it consists of the many； for the ones are in it not as
sublated but as affirmatively present； only posited with the excluding limit to which they are
indifferent。 This； however； is not indifferent to them。 In the sphere of determinate being； the relation
of the limit to it was primarily such that the determinate being persisted as the affirmative on this
side of its limit； while the limit； the negation； was found outside on the border of the determinate
being； similarly； the breaking…off ＇in the counting＇ of the many ones and the exclusion of other ones
appears as a determination falling outside the enclosed ones。 But in the qualitative sphere it was
found that the limit pervades the determinate being； is coextensive with it； and consequently that it
lies in the nature of something to be limited； that is； finite。 In the quantitative sphere a number； say a
hundred； is conceived in such a manner that the hundredth one alone limits the many to make them
a hundred。 In one sense this is correct； but on the other hand none of the hundred ones has
precedence over any other for they are only equal — each is equally the hundredth； thus they all
belong to the limit which makes the number a hundred and the number cannot dispense with any of
them for its determinateness。 Hence； relatively to the hundredth one； the others do not constitute a
determinate being that is in any way different from the limit； whether they are outside or inside it。
Consequently； the number is not a plurality over against the enclosing； limiting one； but itself
constitutes this limitation which is a specific quantum； the many constitute a number； a two； a ten； a
hundred； and so on。
Now the limiting one is the number as determined relatively to other numbers； as distinguished
from them。 But this distinguishing does not become a qualitative determinateness but remains
quantitative； falling only within the comparing external reflection； the number； as a one； remains
returned into itself and indifferent to others。 This indifference of a number to others is an essential
determination of it and constitutes the implicit determinedness of the number； but also the number's
own externality。 Number is thus a numerical one as the absolutely determinate one； which at the
same time has the form of simple immediacy and for which； therefore； the relation to other is
completely external。 Further； one as a number possesses determinateness （in so far as this is a
relation to other） as the moments of itself contained within it； in its difference of unit and amount；
and amount is itself a plurality of ones； that is； this absolute externality is in the one itself。 This
contradiction of number or of quantum as such within itself is the quality of quantum； in the further
determinations of which this contradiction is developed。
Remark 1： The Species of Calculation in Arithmetic； Kant's Synthetic Propositions a priori
Remark 2： The Employment of Numerical Distinctions for Expressing Philosophical
Notions
B Extensive and Intensive Quantum
（a） Their Difference
（b） Ident