Synthese 186 (1):231-255 (2012)
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Abstract |
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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Keywords | Geometry Diagrammatic reasoning Space Intuition Schematism Transcendental deduction |
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DOI | 10.1007/s11229-012-0066-2 |
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References found in this work BETA
Kant's Gesammelte Schriften.Immanuel Kant, Katharina Deutsche Akademie der Wissenschaften zu Berlin, Eduard Holger, Ingeborg Gerresheim & Gottfried Heidemann - 1900 - G. Reimer.
The Euclidean Diagram.Kenneth Manders - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford University Press. pp. 80--133.
Kant on the ‘Symbolic Construction' of Mathematical Concepts.Lisa Shabel - 1998 - Studies in History and Philosophy of Science Part A 29 (4):589-621.
View all 17 references / Add more references
Citations of this work BETA
Space as Form of Intuition and as Formal Intuition: On the Note to B160 in Kant's Critique of Pure Reason.Christian Onof & Dennis Schulting - 2015 - Philosophical Review 124 (1):1-58.
Kant and the Pre-Conceptual Use of the Understanding.Jonas Jervell Indregard - 2021 - Archiv für Geschichte der Philosophie 103 (1):93-119.
The Projective Consciousness Model and Phenomenal Selfhood.Kenneth Williford, Daniel Bennequin, Karl Friston & David Rudrauf - 2018 - Frontiers in Psychology 9.
Kant on the Original Synthesis of Understanding and Sensibility.Jessica J. Williams - 2018 - British Journal for the History of Philosophy 26 (1):66-86.
View all 33 citations / Add more citations
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