The semantic conception of proof

Details The semantic conception of proof The semantic conception of proof

2011-12-28

arxiv.org/abs/1112.6126v1

Mathematics

Logic

12 pages

Scientific paper

We analyze the informal semantic conception of proof and axiomatize the proof
relation and the provability operator. A self referential propositional
calculus which admits provable liar type sentences is introduced and proven
consistent. We also investigate the problem of interpreting arbitrary formal
systems in systems which include a provability operator.

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