New V, ZF and Abstraction†

DOI10.1093/philmat/7.3.293zbMath0953.03061OpenAlexW4210857673MaRDI QIDQ4946847

Stewart Shapiro, Alan Weir

Publication date: 7 January 2001

Published in: Philosophia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/philmat/7.3.293

zbMATH Keywords

philosophy of mathematicsneologicismabstraction principles

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Nonclassical and second-order set theories (03E70)

Related Items (20)

FOR BETTER AND FOR WORSE. ABSTRACTIONISM, GOOD COMPANY, AND PLURALISM ⋮ Frege, Boolos, and logical objects ⋮ Life on the Ship of Neurath: Mathematics in the Philosophy of Mathematics ⋮ RELATIVE CATEGORICITY AND ABSTRACTION PRINCIPLES ⋮ A NOTE ON CHOICE PRINCIPLES IN SECOND-ORDER LOGIC ⋮ TWO-SORTED FREGE ARITHMETIC IS NOT CONSERVATIVE ⋮ WHAT RUSSELL SHOULD HAVE SAID TO BURALI–FORTI ⋮ Grounding megethology on plural reference ⋮ Is Hume's principle analytic? ⋮ Neo-Fregeanism: an embarrassment of riches ⋮ Iteration one more time ⋮ What is Neologicism? ⋮ Bad company and neo-Fregean philosophy ⋮ Hume's big brother: Counting concepts and the bad company objection ⋮ Introduction to the special issue on the bad company problem ⋮ Rescuing implicit definition from abstractionism ⋮ Realism and paradox ⋮ Frege meets Dedekind: A neologicist treatment of real analysis ⋮ Abstraction and set theory ⋮ DEDUCTIVE CARDINALITY RESULTS AND NUISANCE-LIKE PRINCIPLES

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