David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Synthese 186 (1):231-255 (2012)
I use recent work on Kant and diagrammatic reasoning to develop a reconsideration of central aspects of Kant’s philosophy of geometry and its relation to spatial intuition. In particular, I reconsider in this light the relations between geometrical concepts and their schemata, and the relationship between pure and empirical intuition. I argue that diagrammatic interpretations of Kant’s theory of geometrical intuition can, at best, capture only part of what Kant’s conception involves and that, for example, they cannot explain why Kant takes geometrical constructions in the style of Euclid to provide us with an a priori framework for physical space. I attempt, along the way, to shed new light on the relationship between Kant’s theory of space and the debate between Newton and Leibniz to which he was reacting, and also on the role of geometry and spatial intuition in the transcendental deduction of the categories.
|Keywords||Geometry Diagrammatic reasoning Space Intuition Schematism Transcendental deduction|
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Citations of this work BETA
Colin McLear (2014). The Kantian (Non)‐Conceptualism Debate. Philosophy Compass 9 (11):769-790.
Christian Onof & Dennis Schulting (2014). Kant, Kästner and the Distinction Between Metaphysical and Geometric Space. Kantian Review 19 (2):285-304.
Marco Panza (2012). The Twofold Role of Diagrams in Euclid's Plane Geometry. Synthese 186 (1):55-102.
John J. Callanan (2014). Kant on the Acquisition of Geometrical Concepts. Canadian Journal of Philosophy 44 (5-6):580-604.
Lukas M. Verburgt (2016). The Place of Probability in Hilbert’s Axiomatization of Physics, Ca. 1900–1928. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 53:28-44.
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