Communication and strong compositionality

Journal of Philosophical Logic 32 (3):287-322 (2003)
Peter Pagin
Stockholm University
Ordinary semantic compositionality (meaning of whole determined from meanings of parts plus composition) can serve to explain how a hearer manages to assign an appropriate meaning to a new sentence. But it does not serve to explain how the speaker manages to find an appropriate sentence for expressing a new thought. For this we would need a principle of inverse compositionality, by which the expression of a complex content is determined by the expressions of it parts and the mode of composition. But this presupposes that contents have constituent structure, and this cannot be taken for granted. However, it can be proved that if a certain principle of substitutivity is valid for a particular language, then the meanings expressed by its sentences can justifiably be treated as structured. In its simplest form, this principle says that if in a complex expression a constituent is replaced by another constituent with a different meaning, the new complex has a meaning different from the original. This principle is again inversely related to the normal compositional principle of substitutivity. The combination of ordinary and inverse compositionality is here called 'strong compositionality'. The proof is carried out in the algebraic framework developed by Wilfrid Hodges and Dag Westerståhl
Keywords algebraic semantics  Carnap  communication  compositionality  explanation  Fodor  Frege  Hodges  language  language of thought  meaning  semantics  structured meanings  syntax  universal algebra  Westerståhl
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Reprint years 2004
DOI 10.1023/A:1024258529030
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Meaning and Necessity.Rudolf Carnap - 1947 - University of Chicago Press.

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Compositionality I: Definitions and Variants.Peter Pagin - 2010 - Philosophy Compass 5 (3):250-264.
The Composition of Thoughts.Richard Heck & Robert May - 2011 - Noûs 45 (1):126-166.
Compositionality II: Arguments and Problems.Peter Pagin - 2010 - Philosophy Compass 5 (3):265-282.
Hornsby on the Phenomenology of Speech.Jennifer Hornsby & Jason Stanley - 2005 - Aristotelian Society Supplementary Volume 79 (1):131–145.
What is Communicative Success?Peter Pagin - 2008 - Canadian Journal of Philosophy 38 (1):pp. 85-115.

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