Book ID: CBB220910667

Abstractionism: Essays in Philosophy of Mathematics (2017)


Ebert, Philip A. (Editor)
Rossberg, Marcus (Editor)

Oxford University Press

Publication Date: 2017
Physical Details: 368
Language: English

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 bookcontains three contributions that discuss Frege's application constraint within an abstractionist setting.

Reviewed By

Review Shay Allen Logan (2018) Review of "Abstractionism: Essays in Philosophy of Mathematics". Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science (pp. 327-329). unapi

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Authors & Contributors
Woods, John
Andrea Pitasi
Tappenden, Jamie
Simon, Gérard
Sepkoski, David Christopher
Schirn, Matthias
History and Philosophy of Logic
Studies in History and Philosophy of Science
Revue d'Histoire des Sciences
Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science
Logica Universalis
Oxford University Press
Cambridge University Press
Tab Edizioni
Vittorio Klostermann
Pensa Multimedia
University of Minnesota
Philosophy of mathematics
Philosophy of science
Frege, Gottlob
Russell, Bertrand Arthur William
Dedekind, Richard
Riemann, Georg Friedrich Bernhard
Newton, Isaac
Lévi-Strauss, Claude
Time Periods
19th century
20th century, early
20th century
17th century
18th century

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