- Published Online:
- 2019-07-01
- Published in Print:
- 2019-06-28
- Citation Information:
- Archiv für Geschichte der Philosophie, Volume 101, Issue 2, Pages 258–279, eISSN 1613-0650, ISSN 0003-9101, DOI: https://doi.org/10.1515/agph-2019-2006.
This article challenges three widespread assumptions about Kant’s argument for the antithesis of the Second Antinomy. The first assumption is that this argument consists of an argument for the claim that “[no] composite thing in the world consists of simple parts”, and a logically independent argument for the claim that “nothing simple exists anywhere in the world”. The second assumption is that when Kant argues that “[no] composite thing in the world consists of simple parts”, he is making a claim about the mereological structure of spatially extended things in particular, as opposed to a claim about the mereological structure of things in general. And the third assumption is that Kant’s argument for this part of the antithesis is based on a claim about the relationship between the size of the extension of a composite thing and the sizes of the extensions of the things of which this composite thing consists.
Broad, C. 1954. “Kant’s Mathematical Antinomies”. Proceedings of the Aristotelian Society 55, 1–22.
Buroker, J. 2006. Kant’s Critique of Pure Reason: An Introduction. Cambridge.
Ehrlich, P. 2014. “An Essay in Honor of Adolf Grünbaum’s Ninetieth Birthday: A Reexamination of Zeno’s Paradox of Extension”. Philosophy of Science 81, 654–675.
Engelhard, K. 2005. Das Einfache und die Materie: Untersuchungen zu Kants Antinomie der Teilung. Berlin.
Falkenburg, B. 2000. Kants Kosmologie: Die wissenschaftliche Revolution der Naturphilosophie im 18. Jahrhundert. Frankfurt am Main.
Friedman, M. 2013. Kant’s Construction of Nature: A Reading of the Metaphysical Foundations of Natural Science. Cambridge.
Grier, M. 2001. Kant’s Doctrine of Transcendental Illusion. Cambridge.
Grünbaum, A. 1952. “A Consistent Conception of the Extended Linear Continuum as an Aggregate of Unextended Elements”. Philosophy of Science 19, 288–306.
Guyer, P. 1987. Kant and the Claims of Knowledge. Cambridge.
Lewis, D. 1991. Parts of Classes. Oxford.
Malzkorn, W. 1999. Kants Kosmologie-Kritik: Eine formale Analyse der Antinomienlehre. Berlin.
Radner, M. 1998. “Unlocking the Second Antinomy: Kant and Wolff”. Journal of the History of Philosophy 36, 413–441.
Schaffer, J. 2009. “Spacetime the One Substance”. Philosophical Studies 145, 131–148.
Schmiege, O. 2006. “What is Kant’s Second Antinomy About”. Kant-Studien 97, 272–300.
Strawson, P. 1966. The Bounds of Sense: An Essay on Kant’s Critique of Pure Reason. London.
Uzquiano, G. 2011. “Mereological Harmony”. Oxford Studies in Metaphysics 6, 199–224.
Van Cleve, J. 1999. Problems from Kant. Oxford.
Van Inwagen, P. 1990. Material Beings. Ithaca/London.