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Frege on Number Properties
Studia Logica 96 (2):239-260 (2010)
Abstract
In the Grundlagen , Frege offers eight main arguments, together with a series of more minor supporting arguments, against Mill’s view that numbers are “properties of external things”. This paper reviews all eight of these arguments, arguing that none are conclusiveDOI
10.1007/s11225-010-9285-z
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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.
Mathematics as a science of non-abstract reality: Aristotelian realist philosophies of mathematics.James Franklin - 2022 - Foundations of Science 27 (2):327-344.
Mereological Nominalism.Nikk Effingham - 2020 - Philosophy and Phenomenological Research 100 (1):160-185.
Note on 'Normalisation for Bilateral Classical Logic with some Philosophical Remarks'.Nils Kürbis - 2021 - Journal of Applied Logics 7 (8):2259-2261.
Does Frege Have Aristotle's Number?Emily Katz - 2023 - Journal of the American Philosophical Association 9 (1):135-153.
References found in this work
Introduction to Mathematical Philosophy.Bertrand Arthur William Russell - 1919 - London, England: Dover Publications.
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