Troubles with (the concept of) truth in mathematics
DOI:
https://doi.org/10.12775/LLP.2006.017Keywords
truth, satisfaction, satisfaction class, nonstandard model, Peano arithmetic, second-order arithmetic, omega-logic, transfinite inductionAbstract
In the paper the problem of definability and undefinability of the concept of satisfaction and truth is considered. Connections between satisfaction and truth on the one hand and consistency of certain systems of omega-logic and transfinite induction on the other are indicated.References
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