Abstractionism: Essays in Philosophy of Mathematics

Oxford, England: Oxford University Press UK (2016)
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Abstract

Abstractionism, which is a development of Frege's original Logicism, is a recent and much debated position in the philosophy of mathematics. This volume contains 16 original papers by leading scholars on the philosophical and mathematical aspects of Abstractionism. After an extensive editors' introduction to the topic of abstractionism, the volume is split into 4 sections. The contributions within these sections explore the semantics and meta-ontology of Abstractionism, abstractionist epistemology, the mathematics of Abstractionis, and finally, Frege's application constraint within an abstractionist setting.

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Author Profiles

Marcus Rossberg
University of Connecticut
Philip A. Ebert
University of Stirling

Citations of this work

Frege meets Belnap: Basic Law V in a Relevant Logic.Shay Logan & Francesca Boccuni - forthcoming - In Andrew Tedder, Shawn Standefer & Igor Sedlar (eds.), New Directions in Relevant Logic. Springer. pp. 381-404.
The Caesar Problem — A Piecemeal Solution.J. P. Studd - 2023 - Philosophia Mathematica 31 (2):236-267.
The Limits of Reconstructive Neologicist Epistemology.Eileen S. Nutting - 2018 - Philosophical Quarterly 68 (273):717-738.

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