Some Weak Theories of Truth

In T. Achourioti, H. Galinon, J. Martínez Fernández & K. Fujimoto, Unifying the Philosophy of Truth. Dordrecht: Imprint: Springer (2015)
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Abstract

In this article we present a number of axiomatic theories of truth which are conservative extensions of arithmetic. We isolate a set of ten natural principles of truth and prove that every consistent permutation of them forms a theory conservative over Peano arithmetic.

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