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

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

Citation URI
http://data.isiscb.org/isis/citation/CBB001550609/

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Authors & Contributors
Grattan-Guinness, Ivor
Tolley, Clinton
Durner, Manfred
Si Moussa, Farid
Lauxtermann, Paul F. H.
Sutherland, Daniel
Journals
HOPOS
History and Philosophy of Logic
Philosophisches Jahrbuch
Sciences et Techniques en Perspective
Journal of the History of Philosophy
Logica Universalis
Publishers
Princeton University Press
Kluwer Academic Publishers
Routledge
Boston University
University of Pittsburgh
Concepts
Logic
Philosophy of science
Mathematics
Philosophy
Cosmology
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
20th century, late
Places
Great Britain
France
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