Abstractionism : Essays in Philosophy of Mathematics - Philip A Ebert

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Abstractionism

Essays in Philosophy of Mathematics

By: Philip A Ebert (Editor), Marcus Rossberg (Editor)

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Hardcover | 8 December 2016

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Hardcover
368 Pages

Dimensions(cm)
16.5 x 28.0 x 2.7

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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, five contributions deal with the semantics and meta-ontology of Abstractionism, as well as the so-called Caesar Problem. Four papers then discuss abstractionist epistemology, focusing on the idea of implicit definitions and non-evidential warrants (entitlements) to account for a priori mathematical knowledge. This is followed by four chapters concerning the mathematics of Abstractionism, in particular the issue of impredicativity, the Bad Company objection, and the question of abstractionist set theory. Finally, the last section of the book contains three contributions that discuss Frege's application constraint within an abstractionist setting.

Industry Reviews

This volume is a most welcome and comprehensive addition to the scholarship in abstractionism. This volume is a collection of some of the best work that has been done on abstractionism in the philosophy of mathematics. It provides valuable and wide-raging insights into the ongoing debates in the philosophical and mathematical foundations of abstractionism. It is, thus, strongly recommended to anyone interested in these areas. * Bahram Assadian, Analysis *

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