If structured propositions are logical procedures then how are procedures individuated?

Synthese 196 (4):1249-1283 (2019)
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Abstract

This paper deals with two issues. First, it identifies structured propositions with logical procedures. Second, it considers various rigorous definitions of the granularity of procedures, hence also of structured propositions, and comes out in favour of one of them. As for the first point, structured propositions are explicated as algorithmically structured procedures. I show that these procedures are structured wholes that are assigned to expressions as their meanings, and their constituents are sub-procedures occurring in executed mode. Moreover, procedures are not mere aggregates of their parts; rather, procedural constituents mutually interact. As for the second point, there is no universal criterion of the structural isomorphism of meanings, hence of co-hyperintensionality, hence of synonymy for every kind of language. The positive result I present is an ordered set of rigorously defined criteria of fine-grained individuation in terms of the structure of procedures. Hence procedural semantics provides a solution to the problem of the granularity of co-hyperintensionality.

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Citations of this work

Hyperintensional logics for everyone.Igor Sedlár - 2019 - Synthese 198 (2):933-956.
Logics of Synonymy.Levin Hornischer - 2020 - Journal of Philosophical Logic 49 (4):767-805.

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References found in this work

Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.
The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.
Propositional Content.Peter Hanks - 2015 - Oxford, United Kingdom: Oxford University Press.
What is Meaning?Scott Soames - 2010 - Princeton University Press.

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