Ramified Frege Arithmetic

Journal of Philosophical Logic 40 (6):715-735 (2011)
Abstract
Øystein Linnebo has recently shown that the existence of successors cannot be proven in predicative Frege arithmetic, using Frege’s definitions of arithmetical notions. By contrast, it is shown here that the existence of successor can be proven in ramified predicative Frege arithmetic
Keywords Frege predicativity
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DOI 10.1007/s10992-010-9158-y
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References found in this work BETA
Logic, Logic, and Logic.George Boolos - 1998 - Harvard University Press.
Fixing Frege.John P. Burgess - 2005 - Princeton University Press.
Cardinality, Counting, and Equinumerosity.Richard Heck - 2000 - Notre Dame Journal of Formal Logic 41 (3):187-209.

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Citations of this work BETA
Frege Meets Brouwer.Stewart Shapiro & Øystein Linnebo - 2015 - Review of Symbolic Logic 8 (3):540-552.

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