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Self-reference in Arithmetic II

By Volker Halbach and Albert Visser

Abstract

In this sequel to Self-reference in arithmetic I we continue our discussion of the question: What does it mean for a sentence of arithmetic to ascribe to itself a property? We investigate how the properties of the supposedly self-referential sentences depend on the chosen coding, the formulae expressing the properties and the way a fixed point for the expressing formulae are obtained. In this second part we look at some further examples. In particular, we study sentences apparently expressing their Rosser-provability, their own (Formula presented.)-truth or their own (Formula presented.)-truth. Finally we offer an assessment of the results of both papers

Topics: self-reference, arithmetization, intentsionality, Logic, Philosophy, Mathematics (miscellaneous)
Year: 2014
OAI identifier: oai:dspace.library.uu.nl:1874/306233
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