David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Kant-Studien 102 (3):273-289 (2011)
Kant's account of space as an infinite given magnitude in the Critique of Pure Reason is paradoxical, since infinite magnitudes go beyond the limits of possible experience. Michael Friedman's and Charles Parsons's accounts make sense of geometrical construction, but I argue that they do not resolve the paradox. I argue that metaphysical space is based on the ability of the subject to generate distinctly oriented spatial magnitudes of invariant scalar quantity through translation or rotation. The set of determinately oriented, constructed geometrical spaces is a proper subset of metaphysical space, thus, metaphysical space is infinite. Kant's paradoxical doctrine of metaphysical space is necessary to reconcile his empiricism with his transcendental idealism.
|Keywords||No keywords specified (fix it)|
|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
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Carl Posy (2008). Intuition and Infinity: A Kantian Theme with Echoes in the Foundations of Mathematics. Royal Institute of Philosophy Supplement 83 (63):165-193.
Henny Blomme (2012). The Completeness of Kant's Metaphysical Exposition of Space. Kant-Studien 103 (2):139-162.
Randy Wojtowicz (1997). The Metaphysical Expositions of Space and Time. Synthese 113 (1):71-115.
Ricki Leigh Bliss (2013). Viciousness and the Structure of Reality. Philosophical Studies 166 (2):399-418.
Melissa McBay Merritt (2010). Kant on the Transcendental Deduction of Space and Time: An Essay on the Philosophical Resources of the Transcendental Aesthetic. Kantian Review 14 (2):1-37.
A. W. Moore (1990/2002). The Infinite. Routledge.
James Franklin (1994). Achievements and Fallacies in Hume's Account of Infinite Divisibility. Hume Studies 20 (1):85-101.
Joongol Kim (2006). Concepts and Intuitions in Kant's Philosophy of Geometry. Kant-Studien 97 (2):138-162.
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.
Robert R. Williams (2010). Hegel's Concept of The True Infinite. The Owl of Minerva 42 (1-2):89-122.
Kenneth R. Westphal (1995). Does Kant's Metaphysical Foundations of Natural Science Fill a Gap in the Critique of Pure Reason? Synthese 103 (1):43 - 86.
Michael Friedman (2012). Kant on Geometry and Spatial Intuition. Synthese 186 (1):231-255.
Jessica M. Wilson (forthcoming). Hume's Dictum and Metaphysical Modality: Lewis's Combinatorialism. In Barry Loewer & Jonathan Schaffer (eds.), The Blackwell Companion to David Lewis. Blackwell.
Mary Domski (2012). Newton and Proclus: Geometry, Imagination, and Knowing Space. Southern Journal of Philosophy 50 (3):389-413.
Added to index2011-04-12
Total downloads90 ( #16,460 of 1,413,284 )
Recent downloads (6 months)5 ( #42,184 of 1,413,284 )
How can I increase my downloads?