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Abstractionism

Expected online publication date:  21 January 2025

Luca Zanetti
Affiliation:
Scuola Universitaria Superiore IUSS Pavia
Francesca Boccuni
Affiliation:
Vita-Salute San Raffaele University

Summary

The aim of this Element is to provide an overview of abstractionism in the philosophy of mathematics. The authors distinguish between mathematical abstractionism, which interprets mathematical theories on the basis of abstraction principles, and philosophical abstractionism, which attributes a philosophical significance to mathematical abstractionism. They then survey the main semantic, ontological, and epistemological theses that are associated with philosophical abstractionism. Finally, the authors suggest that the most recent developments in the debate pull abstractionism in different directions.
Type
Element
Information
Online ISBN: 9781009375139
Publisher: Cambridge University Press

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Abstractionism
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Abstractionism
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Abstractionism
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