Ramified Frege Arithmetic

Journal of Philosophical Logic 40 (6):715-735 (2011)
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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PhilPapers Archive Richard Heck, Ramified Frege Arithmetic
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John P. Burgess (2005). Fixing Frege. Princeton University Press.

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