Abstractionism

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Cambridge: Cambridge University Press (2025)
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Abstract

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.

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1009509799   9781009509794

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Author Profiles

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

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Epistemic Entitlement, Epistemic Risk and Leaching.Luca Moretti & Crispin Wright - 2023 - Philosophy and Phenomenological Research 106 (3):566-580.

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