David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 19 (2):139-166 (2011)
The paper attempts to summarize the debate on Kant’s philosophy of geometry and to offer a restricted area of mathematical practice for which Kant’s philosophy would be a reasonable account. Geometrical theories can be characterized using Wittgenstein’s notion of pictorial form . Kant’s philosophy of geometry can be interpreted as a reconstruction of geometry based on one of these forms — the projective form . If this is correct, Kant’s philosophy is a reasonable reconstruction of such theories as projective geometry; and not only as they were practiced in Kant’s time, but also as architects use them today
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Ladislav Kvasz (2000). Changes of Language in the Development of Mathematics. Philosophia Mathematica 8 (1):47-83.
Ladislav Kvasz (2006). The History of Algebra and the Development of the Form of its Language. Philosophia Mathematica 14 (3):287-317.
Citations of this work BETA
No citations found.
Similar books and articles
Michael Friedman (2012). Kant on Geometry and Spatial Intuition. Synthese 186 (1):231-255.
Lisa Shabel (2004). Kant's "Argument From Geometry". Journal of the History of Philosophy 42 (2):195-215.
Joongol Kim (2006). Concepts and Intuitions in Kant's Philosophy of Geometry. Kant-Studien 97 (2):138-162.
Kristina Engelhard & Peter Mittelstaedt (2008). Kant's Theory of Arithmetic: A Constructive Approach? [REVIEW] Journal for General Philosophy of Science 39 (2):245 - 271.
Amit Hagar (2008). Kant and Non-Euclidean Geometry. Kant-Studien 99 (1):80-98.
Terry F. Godlove Jr (2009). Poincaré, Kant, and the Scope of Mathematical Intuition. Review of Metaphysics 62 (4):779-801.
Ladislav Kvasz (1998). History of Geometry and the Development of the Form of its Language. Synthese 116 (2):141–186.
Helen De Cruz (2007). An Enhanced Argument for Innate Elementary Geometric Knowledge and its Philosophical Implications. In Bart Van Kerkhove (ed.), New perspectives on mathematical practices. Essays in philosophy and history of mathematics. World Scientific.
Mary Domski (2010). Kant on the Imagination and Geometrical Certainty. Perspectives on Science 18 (4):409-431.
Phillip John Meadows (2011). Contemporary Arguments for a Geometry of Visual Experience. European Journal of Philosophy 19 (3):408-430.
Amit Hagar (2002). Thomas Reid and Non-Euclidean Geometry. Reid Studies 5 (2):54-64.
Katherine Dunlop (2012). Kant and Strawson on the Content of Geometrical Concepts. Noûs 46 (1):86-126.
Vera Stebletsova & Yde Venema (2001). Undecidable Theories of Lyndon Algebras. Journal of Symbolic Logic 66 (1):207-224.
Added to index2011-05-26
Total downloads48 ( #38,553 of 1,140,199 )
Recent downloads (6 months)4 ( #46,991 of 1,140,199 )
How can I increase my downloads?