Abstractionism:

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 philo...

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Bibliographic Details
Main Author: Boccuni, Francesca
Other Authors: Zanetti, Luca
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2024
Series:Cambridge elements. Elements in the philosophy of mathematics
Links:https://doi.org/10.1017/9781009375139
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.
Physical Description:1 Online-Ressource (76 Seiten)
ISBN:9781009375139
ISSN:2399-2883