Australasian Journal of Philosophy 67 (3):286 – 294 (1989)
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| 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 mathematics
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| Keywords | Necessity in mathematics Applicability of mathematics |
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| DOI | 10.1080/00048408912350131 |
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References found in this work BETA
Logicism Revisited.Alan Musgrave - 1977 - British Journal for the Philosophy of Science 28 (2):99-127.
Abstraction, Relation, and Induction: Three Essays in the History of Thought.Julius Rudolph Weinberg - 1965 - Madison, WI, USA: University of Wisconsin Press.
Citations of this work BETA
An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Stucture.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.
Aristotelian Realism.James Franklin - 2009 - In A. Irvine (ed.), The Philosophy of Mathematics (Handbook of the Philosophy of Science series). North-Holland Elsevier.
The Formal Sciences Discover the Philosophers' Stone.James Franklin - 1994 - Studies in History and Philosophy of Science Part A 25 (4):513-533.
‘Let No-One Ignorant of Geometry…’: Mathematical Parallels for Understanding the Objectivity of Ethics.James Franklin - 2021 - Journal of Value Inquiry 55:1-20.
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