David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
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)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Henry E. Allison (2004). Kant's Transcendental Idealism. Yale University Press.
Michael Friedman (1992). Kant and the Exact Sciences. Harvard University Press.
Daniel Sutherland (2006). Kant on Arithmetic, Algebra, and the Theory of Proportions. Journal of the History of Philosophy 44 (4):533-558.
Lisa Shabel (2002). Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice. Routledge.
Lisa Shabel (1998). Kant on the `Symbolic Construction' of Mathematical Concepts. Studies in History and Philosophy of Science Part A 29 (4):589-621.
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.
Similar books and articles
Lisa Shabel (2004). Kant's "Argument From Geometry". Journal of the History of Philosophy 42 (2):195-215.
Frode Kjosavik (2009). Kant on Geometrical Intuition and the Foundations of Mathematics. Kant-Studien 100 (1):1-27.
Rene Jagnow (2003). Geometry and Spatial Intuition: A Genetic Approach. Dissertation, Mcgill University (Canada)
Michael Dummett (1982). Frege and Kant on Geometry. Inquiry 25 (2):233 – 254.
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.
Terry F. Godlove (2009). Poincaré, Kant, and the Scope of Mathematical Intuition. Review of Metaphysics 62 (4):779-801.
Joongol Kim (2006). Concepts and Intuitions in Kant's Philosophy of Geometry. Kant-Studien 97 (2):138-162.
Mary Domski (2010). Kant on the Imagination and Geometrical Certainty. Perspectives on Science 18 (4):409-431.
Gary Hatfield (1984). Spatial Perception and Geometry in Kant and Helmholtz. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1984:569 - 587.
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
Davide Rizza (2009). Abstraction and Intuition in Peano's Axiomatizations of Geometry. History and Philosophy of Logic 30 (4):349-368.
L. Kvasz (2011). Kant's Philosophy of Geometry--On the Road to a Final Assessment. Philosophia Mathematica 19 (2):139-166.
Marco Giovanelli (2011). Leibniz, Kant und der moderne Symmetriebegriff. Kant-Studien 102 (4):422-454.
Jennifer Mensch (2011). Intuition and Nature in Kant and Goethe. European Journal of Philosophy 19 (3):431-453.
Andrew Kelley (1997). Intuition and Immediacy in Kant's Critique of Pure Reason. Journal of Philosophical Research 22:289-298.
Added to index2012-03-07
Total downloads185 ( #18,853 of 1,907,655 )
Recent downloads (6 months)21 ( #31,590 of 1,907,655 )
How can I increase my downloads?