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Article ID: CBB001550609

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

Mion, Giovanni (Author)

History and Philosophy of Logic
Volume: 35, no. 4
Issue: 4
Pages: 377-382

DOI: 10.1080/01445340.2014.916086

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

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Logic Cosmology 18th century 19th century Russell, Bertrand Arthur William Schopenhauer, Arthur Kant, Immanuel

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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