Syntactical truth predicates for second order arithmetic (Q2732276)
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scientific article; zbMATH DE number 1623519
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Syntactical truth predicates for second order arithmetic |
scientific article; zbMATH DE number 1623519 |
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Syntactical truth predicates for second order arithmetic (English)
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22 January 2002
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truth predicate
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second-order arithmetic
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In the paper the notion of a syntactical truth predicate for second-order arithmetic is introduced and studied. This predicate can be seen as a counterpart to Tarski's notion of model-theoretical validity. It is shown that the existence of a syntactical truth predicate is equivalent to the existence of an \(\omega\)-model of second-order arithmetic.
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