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

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.

Included in

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

Similar Citations

Book Lauxtermann, Paul F.H; (2000)
Schopenhauer's Broken World-View: Colours and Ethics between Kant and Goethe (/isis/citation/CBB000101529/) unapi

Article Tolleya, Clinton; (2012)
Bolzano and Kant on the Nature of Logic (/isis/citation/CBB001210999/) unapi

Article Si Moussa, Farid; (1998)
Intuition pure ou intuition épurée? Russell et Kant à propos du rôle de l'intuition en géométrie (/isis/citation/CBB000081858/) unapi

Article Roy, Jean-Michel; (2014)
“ There is no such thing as philosophic logic ”: Le problème de l'exception wittgensteinienne (/isis/citation/CBB001551990/) unapi

Article Korhonen, Anssi; (2012)
Logic as a Science and Logic as a Theory: Remarks on Frege, Russell and the Logocentric Predicament (/isis/citation/CBB001214125/) unapi

Article Tolley, Clinton; (2012)
The Generality of Kant's Transcendental Logic (/isis/citation/CBB001210532/) unapi

Article Melissa McBay Merritt; (2015)
Varieties of Reflection in Kant's Logic (/isis/citation/CBB489711838/) unapi

Chapter Sutherland, Daniel; (2010)
Philosophy, Geometry, and Logic in Leibniz, Wolff, and the Early Kant (/isis/citation/CBB001033539/) unapi

Thesis Heis, Jeremy; (2007)
The Fact of Modern Mathematics: Geometry, Logic, and Concept Formation in Kant and Cassirer (/isis/citation/CBB001561318/) unapi

Thesis Ongley, John C.; (2000)
On the idea that there is no logic of discovery: A history (/isis/citation/CBB001560522/) unapi

Article Durner, Manfred; (1996)
“Immateriality of matter”: Theorien der Materie bei Priestley, Kant und Schopenhauer (/isis/citation/CBB000074726/) unapi

Book Landini, Gregory; (2010)
Russell (/isis/citation/CBB001500071/) unapi

Chapter Hylton, Peter; (2010)
Frege and Russell (/isis/citation/CBB001211659/) unapi

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

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment