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Section 21

27 of 72 sections in Prolegomena to Any Future Metaphysics by Immanuel Kant

Original German

§ 21.

Um nun also die Möglichkeit der Erfahrung, so fern sie auf reinen Verstandesbegriffen a priori beruht, darzulegen, müssen wir zuvor das, was zum Urtheilen überhaupt gehört, und die verschiedene Momente des Verstandes in denselben in einer vollständigen Tafel vorstellen; denn die reinen Verstandesbegriffe, die nichts weiter sind als Begriffe von Anschauungen überhaupt, so fern diese in Ansehung eines oder des andern dieser Momente zu Urtheilen an sich selbst, mithin nothwendig und allgemeingültig bestimmt sind, werden ihnen ganz genau parallel ausfallen. Hiedurch werden auch die Grundsätze a priori der Möglichkeit aller Erfahrung als einer objectiv gültigen empirischen Erkenntniß ganz genau bestimmt werden. Denn sie sind nichts anders als Sätze, welche alle Wahrnehmung (gemäß gewissen allgemeinen Bedingungen der Anschauung) unter jene reine Verstandesbegriffe subsumiren.

Logische Tafelder Urtheile.

1.
Der Quantität nach
Allgemeine
Besondere
Einzelne
2.3.
Der Qualität nachDer Relation nach
BejahendeKategorische
VerneinendeHypothetische
UnendlicheDisjunctive
4.
Der Modalität nach
Problematische
Assertorische
Apodiktische.

Transscendentale Tafelder Verstandesbegriffe.

1.
Der Quantität nach
Einheit (das Maß)
Vielheit (die Größe)
Allheit (das Ganze)
2.3.
Der QualitätDer Relation
RealitätSubstanz
NegationUrsache
EinschränkungGemeinschaft
4.
Der Modalität
Möglichkeit
Dasein
Nothwendigkeit.

Reine physiologische Tafelallgemeiner Grundsätze der Naturwissenschaft.

1.
Axiomen
der Anschauung
2.3.
AnticipationenAnalogien
der Wahrnehmungder Erfahrung
4.
Postulate
des empirischen Denkens
überhaupt.

Musean translation

Mouseia’s complete machine-assisted Musean translation, made directly from the complete German of the Prolegomena (AA IV 253–383, all §§1–60 and the Appendix), for fidelity, the steps of Kant’s argument, clarity and structure.

§ 21.

To set forth the possibility of experience insofar as it rests on pure a priori concepts of the understanding, we must therefore first present in a complete table what belongs to judging in general, and the various moments of the understanding within it. For the pure concepts of the understanding will correspond to them in exact parallel: these are nothing more than concepts of intuitions in general, insofar as the intuitions are in themselves determined for judging with respect to one or another of these moments, and hence necessarily and with universal validity. This will also determine precisely the a priori principles of the possibility of all experience as objectively valid empirical cognition. For these are nothing other than propositions that subsume all perception, according to certain universal conditions of intuition, under those pure concepts of the understanding.

Logical Tableof Judgments.

1.
By Quantity
Universal
Particular
Singular
2.3.
By QualityBy Relation
AffirmativeCategorical
NegativeHypothetical
InfiniteDisjunctive
4.
By Modality
Problematic
Assertoric
Apodictic.

Transcendental Tableof the Concepts of the Understanding.

1.
By Quantity
Unity (measure)
Plurality (magnitude)
Totality (the whole)
2.3.
By QualityBy Relation
RealitySubstance
NegationCause
LimitationCommunity
4.
By Modality
Possibility
Existence
Necessity.

Pure Physiological Tableof Universal Principles of Natural Science.

1.
Axioms
of Intuition
2.3.
AnticipationsAnalogies
of Perceptionof Experience
4.
Postulates
of Empirical Thinking
in General.

Plain English translation

Mouseia’s complete Plain English edition, made independently and directly from the same complete German text.

§ 21.

To show how experience is possible insofar as it rests on pure a priori concepts of the understanding, we must first present a complete table of what belongs to judging in general and of the understanding's different functions in it. The pure concepts of the understanding will correspond exactly to these functions. These concepts are nothing more than concepts of intuitions in general, insofar as the intuitions are themselves determined for judging in relation to one or another of these functions. They are therefore determined necessarily and with universal validity. This will also determine exactly the a priori principles that make all experience possible as objectively valid empirical cognition. For these principles are simply propositions that bring every perception, in accordance with certain universal conditions of intuition, under those pure concepts of the understanding.

Logical tableof judgments.

1.
By quantity
Universal
Particular
Singular
2.3.
By qualityBy relation
AffirmativeCategorical
NegativeHypothetical
InfiniteDisjunctive
4.
By modality
Problematic
Assertoric
Apodictic.

Transcendental tableof concepts of the understanding.

1.
By quantity
Unity (the measure)
Plurality (the magnitude)
Totality (the whole)
2.3.
By qualityBy relation
RealitySubstance
NegationCause
LimitationCommunity
4.
By modality
Possibility
Existence
Necessity.

Pure physiological tableof universal principles of natural science.

1.
Axioms
of intuition
2.3.
AnticipationsAnalogies
of perceptionof experience
4.
Postulates
of empirical thinking
in general.

About this section

Section 21 is part of Prolegomena to Any Future Metaphysics by Immanuel Kant. This page sets the German original beside 2 direct-source translations, so any line can be checked against the source. It is section 27 of 72 in the work, which is kept in the European tradition.

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