Arithmetic with Satisfaction

James Cain

doi:10.1305/ndjfl/1040248460

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Home > Journals > Notre Dame J. Formal Logic > Volume 36 > Issue 2 > Article

Spring 1995 Arithmetic with Satisfaction

James Cain

Notre Dame J. Formal Logic 36(2): 299-303 (Spring 1995). DOI: 10.1305/ndjfl/1040248460

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Abstract

A language in which we can express arithmetic and which contains its own satisfaction predicate (in the style of Kripke's theory of truth) can be formulated using just two nonlogical primitives: $'$ (the successor function) and Sat (a satisfaction predicate).