Troubles with (the concept of) truth in mathematics

Roman Murawski

DOI: http://dx.doi.org/10.12775/LLP.2006.017

Abstract


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.

Keywords


truth; satisfaction; satisfaction class; nonstandard model; Peano arithmetic; second-order arithmetic; omega-logic; transfinite induction

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References


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