Kant's "argument from geometry"
Journal of the History of Philosophy 42 (2):195-215 (2004)
| Abstract | : Kant's 'argument from geometry' is usually interpreted to be a regressive transcendental argument in support of the claim that we have a pure intuition of space. In this paper I defend an alternative interpretation of this argument according to which it is rather a progressive synthetic argument meant to identify and establish the essential role of pure spatial intuition in geometric cognition. In the course of reinterpreting the 'argument from geometry' I reassess the arguments of the Aesthetic and illustrate the origin of Kant's view of the role of pure intuition in geometry | |||||||||
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Mary Domski (2010). Kant on the Imagination and Geometrical Certainty. Perspectives on Science 18 (4):409-431.
Kieran Setiya (2004). Transcendental Idealism in the 'Aesthetic'. Philosophy and Phenomenological Research 68 (1):63–88.
Lisa Shabel (2003). Reflections on Kant's Concept (and Intuition) of Space. Studies in History and Philosophy of Science Part A 34 (1):45-57.
Phillip John Meadows (2011). Contemporary Arguments for a Geometry of Visual Experience. European Journal of Philosophy 19 (3):408-430.
Terry F. Godlove Jr (2009). Poincaré, Kant, and the Scope of Mathematical Intuition. The Review of Metaphysics 62 (4):779-801.
Lucy Allais (2010). Kant's Argument for Transcendental Idealism in the Transcendental Aesthetic. Proceedings of the Aristotelian Society 110 (1):47-75.
L. Kvasz (2011). Kant's Philosophy of Geometry--On the Road to a Final Assessment. Philosophia Mathematica 19 (2):139-166.
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.
Michael Friedman (2012). Kant on Geometry and Spatial Intuition. Synthese 186 (1):231-255.
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