Kant on geometry and spatial intuition
 Michael Friedman
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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.
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 Title
 Kant on geometry and spatial intuition
 Journal

Synthese
Volume 186, Issue 1 , pp 231255
 Cover Date
 20120501
 DOI
 10.1007/s1122901200662
 Print ISSN
 00397857
 Online ISSN
 15730964
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Geometry
 Diagrammatic reasoning
 Space
 Intuition
 Schematism
 Transcendental deduction
 Industry Sectors
 Authors

 Michael Friedman ^{(1)}
 Author Affiliations

 1. Department of Philosophy, Stanford University, Stanford, CA, 94305, USA