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

History and Philosophy of Logic 35 (4):377-382 (2014)
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Abstract

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 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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Citations of this work

The Concept of the Universe in Physical Cosmology.Raúl Fernández-Cobos - 2021 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 52 (4):523-542.
Concept Negation in Kant.Mark Siebel - 2021 - History of Philosophy & Logical Analysis 25 (1):31-65.

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References found in this work

Kritik der reinen Vernunft.Immanuel Kant - 2020 - Walter de Gruyter GmbH & Co KG.
On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
On Denoting.Bertrand Russell - 2005 - Mind 114 (456):873 - 887.
Kant.Paul Guyer - 2006 - New York: Routledge.
My philosophical development.Bertrand Russell - 1959 - London,: Allen & Unwin.

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