History and Philosophy of Logic 41 (1):48-70 (2019)

Authors
Srećko Kovač
Institute of Philosophy, Zagreb
Abstract
The abstract status of Kant's account of his ‘general logic’ is explained in comparison with Gödel's general definition of a formal logical system and reflections on ‘abstract’ concepts. Thereafter, an informal reconstruction of Kant's general logic is given from the aspect of the principles of contradiction, of sufficient reason, and of excluded middle. It is shown that Kant's composition of logic consists in a gradual strengthening of logical principles, starting from a weak principle of contradiction that tolerates a sort of contradictions in predication, and then proceeding to the principle of sufficient reason, and to a classical-like logic, which includes the principle of excluded middle. A first-order formalisation is applied to this reconstruction, which reveals implicit modalities in Kant's account of logic, and confirms the implementability of Kant's logic into a sound and complete formal system.
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DOI 10.1080/01445340.2019.1682410
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References found in this work BETA

Kant and the Exact Sciences.Michael FRIEDMAN - 1990 - Harvard University Press.
Completeness of an Ancient Logic.John Corcoran - 1972 - Journal of Symbolic Logic 37 (4):696-702.
Intuitionistic Logic.Dirk van Dalen - 2002 - In D. M. Gabbay & F. Guenthner (eds.), ¸ Itegabbay2002. Kluwer Academic Publishers. pp. 1-115.

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