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|
|Categories||categorize this paper)|
References found in this work BETA
Kant on Arithmetic, Algebra, and the Theory of Proportions.Daniel Sutherland - 2006 - Journal of the History of Philosophy 44 (4):533-558.
Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice.Lisa Shabel - 2002 - Routledge.
Kant on the `Symbolic Construction' of Mathematical Concepts.Lisa Shabel - 1998 - Studies in History and Philosophy of Science Part A 29 (4):589-621.
Citations of this work BETA
Self-Affection and Pure Intuition in Kant.Jonas Jervell Indregard - 2017 - Australasian Journal of Philosophy:1-17.
Kant, Kästner and the Distinction Between Metaphysical and Geometric Space.Christian Onof & Dennis Schulting - 2014 - Kantian Review 19 (2):285-304.
Spatial Representation, Magnitude and the Two Stems of Cognition.Thomas Land - 2014 - Canadian Journal of Philosophy 44 (5-6):524-550.
The Twofold Role of Diagrams in Euclid's Plane Geometry.Marco Panza - 2012 - Synthese 186 (1):55-102.
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