MODELS OF PT– WITH INTERNAL INDUCTION FOR TOTAL FORMULAE
2016 ◽
Vol 10
(1)
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pp. 187-202
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Keyword(s):
AbstractWe show that a typed compositional theory of positive truth with internal induction for total formulae (denoted by PTtot) is not semantically conservative over Peano arithmetic. In addition, we observe that the class of models of PA expandable to models of PTtot contains every recursively saturated model of arithmetic. Our results point to a gap in the philosophical project of describing the use of the truth predicate in model-theoretic contexts.
1989 ◽
Vol 54
(4)
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pp. 1382-1388
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Keyword(s):
1993 ◽
Vol 65
(2)
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pp. 125-148
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2010 ◽
Vol 16
(3)
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pp. 345-358
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1991 ◽
Vol 37
(13-16)
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pp. 207-216
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