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/lp/brill/on-the-formal-validity-of-proof-by-contradiction-in-kant-s-logic-2yoaZurf5F
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Critique of Pure Reason -
F. Kjosavik
Kant on the Possibilities of the Mathematics and the Scope and the Limits of Logic
- Publisher
- Brill
- Copyright
- Copyright © Koninklijke Brill NV, Leiden, The Netherlands
- ISSN
- 2666-4283
- eISSN
- 2666-4275
- DOI
- 10.30965/26664275-bja10015
- Publisher site
- See Article on Publisher Site
Abstract
AbstractThe 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.
Journal
History of Philosophy & Logical Analysis – Brill
Published: Jun 10, 2022