Frege and Kant on geometry

Inquiry: An Interdisciplinary Journal of Philosophy 25 (2):233 – 254 (1982)
  Copy   BIBTEX

Abstract

In his Grundlagen, Frege held that geometrical truths.are synthetic a priori, and that they rest on intuition. From this it has been concluded that he thought, like Kant, that space and time are a priori intuitions and that physical objects are mere appearances. It is plausible that Frege always believed geometrical truths to be synthetic a priori; the virtual disappearance of the word ‘intuition’ from his writings from after 1885 until 1924 suggests, on the other hand, that he became dissatisfied with the notion of intuition as he had employed it in Grundlagen. The belief that a priori intuition is a source of knowledge does not in itself entail idealism: that is a question about what it is that makes true the propositions known in this way. In Grundlagen, Frege expressly states that geometrical truths are objective in the sense of being independent of our intuition. This shows that, even at that period, Frege did not draw the idealist conclusion drawn by Kant.

Other Versions

reprint Dummett, Michael (1991) "Frege and Kant on Geometry". In Dummett, Michael, Frege and Other Philosophers, pp. : Clarendon Press (1991)

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 101,636

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Frege’s philosophy of geometry.Matthias Schirn - 2019 - Synthese 196 (3):929-971.
Kant's Philosophy of Geometry.William Mark Goodwin - 2003 - Dissertation, University of California, Berkeley
Kant's Explanation of the Necessity of Geometrical Truths.John Watling - 1971 - Royal Institute of Philosophy Lectures 5:131-144.
A priori intuition and transcendental necessity in Kant's idealism.Markus Kohl - 2020 - European Journal of Philosophy 29 (4):827-845.

Analytics

Added to PP
2009-03-05

Downloads
165 (#142,280)

6 months
8 (#600,396)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Frege and the rigorization of analysis.William Demopoulos - 1994 - Journal of Philosophical Logic 23 (3):225 - 245.
Frege on the Foundation of Geometry in Intuition.Jeremy Shipley - 2015 - Journal for the History of Analytical Philosophy 3 (6).
Frege’s philosophy of geometry.Matthias Schirn - 2019 - Synthese 196 (3):929-971.

View all 11 citations / Add more citations

References found in this work

Frege's alleged realism.Hans D. Sluga - 1977 - Inquiry: An Interdisciplinary Journal of Philosophy 20 (1-4):227 – 242.
Could space be four dimensional?Honor Brotman - 1952 - Mind 61 (243):317-327.

Add more references