Review of Metaphysics 69 (1):25-45 (2015)
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| Abstract |
A problem for Aristotelian realist accounts of universals (neither Platonist nor nominalist) is the status of those universals that happen not to be realised in the physical (or any other) world. They perhaps include uninstantiated shades of blue and huge infinite cardinals. Should they be altogether excluded (as in D.M. Armstrong's theory of universals) or accorded some sort of reality? Surely truths about ratios are true even of ratios that are too big to be instantiated - what is the truthmaker of such truths? It is argued that Aristotelianism can answer the question, but only a semi-Platonist form of it.
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| Keywords | uninstantiated Aristotelian realism missing shade of blue |
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| ISBN(s) | 0034-6632 |
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References found in 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.
Platonism in the Philosophy of Mathematics.Øystein Linnebo - 2009 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy.
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Citations of this work BETA
Potentiality: Actualism Minus Naturalism Equals Platonism.Giacomo Giannini & Matthew Tugby - 2020 - Philosophical Inquiries 1 (8):117-40.
A Causal-Mentalist View of Propositions.Jeremiah Joven Joaquin & James Franklin - 2022 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 29 (1):47-77.
Philosophy’s Loss of Logic to Mathematics: An Inadequately Understood Take-Over.Woosuk Park - 2018 - Cham, Switzerland: Springer Verlag.
Mathematics as a Science of Non-Abstract Reality: Aristotelian Realist Philosophies of Mathematics.James Franklin - 2022 - Foundations of Science 27 (2):327-344.
View all 7 citations / Add more citations
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