Dialectica 74 (4):113-136 (2020)
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Abstract |
This paper has two components. The first, longer component (sec. 1-6)
is a critical exposition of Armstrong’s views about the metaphysics of
mathematics, as they are presented in Truth and Truthmakers and Sketch
for a Systematic Metaphysics. In particular, I discuss Armstrong’s views
about the nature of the cardinal numbers, and his account of how modal
truths are made true. In the second component of the paper (sec. 7),
which is shorter and more tentative, I sketch an alternative account of
the metaphysics of mathematics. I suggest we insist that mathematical
truths have physical truthmakers, without insisting that mathematical
objects themselves are part of the physical world.
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References found in this work BETA
Guide to Ground.Kit Fine - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical Grounding. Cambridge University Press. pp. 37--80.
Truthmakers, Entailment and Necessity.Greg Restall - 1996 - Australasian Journal of Philosophy 74 (2):331 – 340.
Aristotle.Jonathan Barnes - 1975 - In R. M. Hare, Jonathan Barnes & Henry Chadwick (eds.), Founders of Thought. Oxford University Press.
Truthmaking, Entailment, and the Conjunction Thesis.Gonzalo Rodriguez-Pereyra - 2006 - Mind 115 (460):957-982.
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