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Mathematical necessity and reality
Australasian Journal of Philosophy 67 (3):286 – 294 (1989)
Abstract
Einstein, like most philosophers, thought that there cannot be mathematical truths which are both necessary and about reality. The article argues against this, starting with prima facie examples such as "It is impossible to tile my bathroom floor with regular pentagonal tiles." Replies are given to objections based on the supposedly purely logical or hypothetical nature of mathematicsAuthor's Profile
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Citations of this work
An Aristotelian Realist Philosophy of Mathematics: Mathematics as the science of quantity and structure.James Franklin - 2014 - London and New York: Palgrave MacMillan.
Corrupting the youth: a history of philosophy in Australia.James Franklin - 2003 - Sydney, Australia: Macleay Press.
The formal sciences discover the philosophers' stone.James Franklin - 1994 - Studies in History and Philosophy of Science Part A 25 (4):513-533.
Aristotelian realism.James Franklin - 2009 - In A. Irvine (ed.), The Philosophy of Mathematics (Handbook of the Philosophy of Science series). North-Holland Elsevier.
Two caricatures, II: Leibniz's best world.J. Franklin - 2002 - International Journal for Philosophy of Religion 52 (1):45-56.
References found in this work
Metaphysics: (Bks. 7–10). Aristotle - 1952 - New York,: Hackett Publishing Company. Edited by Richard Hope.
Proclus: A Commentary on the First Book of Euclid's Elements.Glenn R. Morrow (ed.) - 1970 - Princeton University Press.
Logicism revisited.Alan Musgrave - 1977 - British Journal for the Philosophy of Science 28 (2):99-127.
Abstraction, relation, and induction.Julius Rudolph Weinberg - 1965 - Madison, WI, USA: University of Wisconsin Press.
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