Sense, reference and computation
DOI:
https://doi.org/10.51359/2357-9986.2020.248896Keywords:
sense, reference, computation, type theoryAbstract
In this paper, I revisit Frege’s theory of sense and reference in the constructi-ve setting of the meaning explanations of type theory, extending and sharpe-ning a program–value analysis of sense and reference proposed by Martin-Löf building on previous work of Dummett. I propose a computational iden-tity criterion for senses and argue that it validates what I see as the most plausible interpretation of Frege’s equipollence principle for both sentences and singular terms. Before doing so, I examine Frege’s implementation of his theory of sense and reference in the logical framework of Grundgesetze, his doctrine of truth values, and views on sameness of sense as equipollence of assertions.
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