In praise of replacement

Bulletin of Symbolic Logic 18 (1):46-90 (2012)
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Abstract

This article serves to present a large mathematical perspective and historical basis for the Axiom of Replacement as well as to affirm its importance as a central axiom of modern set theory.

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Reprint years

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10.2178/bsl/1327328439

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Akihiro Kanamori
Boston University

Citations of this work

Frege, Dedekind, and the Origins of Logicism.Erich H. Reck - 2013 - History and Philosophy of Logic 34 (3):242-265.
Sizes of Countable Sets.Kateřina Trlifajová - 2024 - Philosophia Mathematica 32 (1):82-114.

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References found in this work

Word and Object.Willard Van Orman Quine - 1960 - Les Etudes Philosophiques 17 (2):278-279.
The iterative conception of set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.
Principia mathematica.A. N. Whitehead & B. Russell - 1910-1913 - Revue de Métaphysique et de Morale 19 (2):19-19.
Philosophy of mathematics, selected readings.Paul Benacerraf & Hilary Putnam - 1966 - Revue Philosophique de la France Et de l'Etranger 156:501-502.

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