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arXiv · 1312.3626

Paradoxes of rational agency and formal systems that verify their own soundness

Nik Weaver
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Abstract

We consider extensions of Peano arithmetic which include an assertibility predicate. Any such system which is arithmetically sound effectively verifies its own soundness. This leads to the resolution of a range of paradoxes involving rational agents who are licensed to act under precisely defined conditions.

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Nik Weaver. 2013-12-21. Paradoxes of rational agency and formal systems that verify their own soundness. https://arxiv.org/abs/1312.3626

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