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

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

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.

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 101,459

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Logical Foundations and Kant's Principles of Formal Logic.Srećko Kovač - 2020 - History and Philosophy of Logic 41 (1):48-70.
Aristotle and Logical Theory.Jonathan Lear - 1980 - Cambridge, England: Cambridge University Press.
A note on formality and logical consequence.Mario Gómez-Torrente - 2000 - Journal of Philosophical Logic 29 (5):529-539.
Logical Consequence: A Constructivist View.Dag Prawitz - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press.
Symbolic Logic: Syntax, Semantics, and Proof.David W. Agler - 2012 - Lanham, MD, USA: Rowman & Littlefield Publishers.
Malebranche’s approach to God’s existence.Juan Diego M. Moya Bedoya - 2024 - Principia: An International Journal of Epistemology 28 (1):29-37.

Analytics

Added to PP
2023-11-29

Downloads
23 (#950,505)

6 months
10 (#430,153)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

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.

View all 14 references / Add more references