Article ID: CBB001550609

The Square of Opposition: From Russell's Logic to Kant's Cosmology (2014)

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Mion, Giovanni (Author)


History and Philosophy of Logic
Volume: 35, no. 4
Issue: 4
Pages: 377-382
Publication date: 2014
Language: English


Publication Date: 2014
Edition Details: Part of a Series: “The Square of Opposition”

In this paper, I will show to what extent we can use our modern understanding of the Square of Opposition in order to make sense of Kant's double standard solution to the cosmological antinomies. Notoriously, for Kant, both theses and antitheses of the mathematical antinomies are false, while both theses and antitheses of the dynamical antinomies are true. Kantian philosophers and interpreters (including Schopenhauer, for example) have criticized Kant's solution as artificial and prejudicial. In the paper, I do not dispute such claims, but I show that our modern understanding of the Square of Opposition enables us to more naturally deliver the result Kant was aiming at. Accordingly, the paper does not pretend to be exegetically accurate. It is an attempt to revise the antinomies with the help of standard classical logic. And although such a revision entails some re-interpretation, in the end, it will actually help to unveil some of Kant's thoughts.

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Article Beziau, Jean-Yves; Read, Stephen (2014) Square of Opposition: A Diagram and a Theory in Historical Perspective. History and Philosophy of Logic (pp. 315-316). unapi

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Authors & Contributors
Grattan-Guinness, Ivor
Tolley, Clinton
Bianchi, Silvia De
Durner, Manfred
Heis, Jeremy
Korhonen, Anssi
Journals
HOPOS
History and Philosophy of Logic
Archivio di Filosofia
British Journal for the History of Philosophy
Journal of the History of Philosophy
Logica Universalis
Publishers
Princeton University Press
University of Pittsburgh
Boston University
Kluwer Academic Publishers
Oxford University Press
Rosenberg&Sellier
Concepts
Logic
Philosophy of science
Philosophy
Cosmology
Mathematics
Geometry
People
Kant, Immanuel
Russell, Bertrand Arthur William
Frege, Gottlob
Schopenhauer, Arthur
Cantor, Georg Ferdinand Ludwig
Gödel, Kurt
Time Periods
18th century
19th century
20th century, early
17th century
20th century
Places
France
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