On the Formal Validity of Proof by Contradiction in Kant’s Logic

History of Philosophy & Logical Analysis 25 (1):95-114 (2022)
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Abstract

The paper provides a reconstruction of proof by contradiction in Kant’s pure general logic. A seemingly less-explored point of view on this topic is how apagogical proof can account for the formal truth of a judgement. Integrating the argument held by Kjosavik (2019), I intend to highlight how one can use proof by contradiction, conceived as a modus tollens, to establish the logical actuality (logical or formal truth) of a cognition. Although one might agree on the capacity of the proof to prove formal falsity, the logical actuality of a judgement is assessable based on a logically grounded judgement and, as for transcendental logic, this cognitive operation has to presuppose the real possibility of an object.

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References found in this work

Critique of Pure Reason.I. Kant - 1787/1998 - Philosophy 59 (230):555-557.
Kant on the Mathematical Method.Jaakko Hintikka - 1967 - The Monist 51 (3):352-375.
Singular Terms and Intuitions In Kant’s Epistemology.Manley Thompson - 1972 - Review of Metaphysics 26 (2):314 - 343.

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