Abstractionism: Essays in Philosophy of Mathematics

Oxford University Press UK (2016)

Authors
Marcus Rossberg
University of Connecticut
Philip A. Ebert
University of Stirling
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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The Limits of Reconstructive Neologicist Epistemology.Eileen S. Nutting - 2018 - Philosophical Quarterly 68 (273):717-738.
Dimensions: A New Ontology of Properties.Xi-Yang Guo - 2017 - Dissertation, University of Durham

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