Mathematics. A science of patterns?

Synthese 112 (3):379-402 (1997)
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Abstract

The present article aims at showing that it is possible to construct a realist philosophy of mathematics which commits one neither to dream the dreams of Platonism nor to reduce the word ''realism'' to mere noise. It is argued that mathematics is a science of patterns, where patterns are not objects (or properties of objects), but aspects, or aspects of aspects, etc. of objects. (The notion of aspect originates from ideas sketched by Wittgenstein in the Philosophical Investigations.)

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References found in this work

S.Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin - 2015 - In Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin, Kant-Lexikon. Berlin: De Gruyter. pp. 1995-2243.
B.Gottfried Gabriel, Matthias Gatzemeier, Carl F. Gethmann, Peter Janich, Friedrich Kambartel, Kuno Lorenz, Klaus Mainzer, Peter Schroeder-Heister, Christian Thiel, Reiner Wimmer & Martin Carrier - 2024 - In Gottfried Gabriel, Matthias Gatzemeier, Carl F. Gethmann, Peter Janich, Friedrich Kambartel, Kuno Lorenz, Klaus Mainzer, Peter Schroeder-Heister, Christian Thiel, Reiner Wimmer & Martin Carrier, Enzyklopädie Philosophie und Wissenschaftstheorie: Band 1: A–B. Berlin, Heidelberg: Springer Berlin Heidelberg. pp. 336-560.
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Frege’s Conception of Numbers as Objects.Crispin Wright - 1983 - Critical Philosophy 1 (1):97.

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