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Abstract
The paper sets out to offer an alternative to the function/argument approach to the most essential aspects of natural language meanings. That is, we question the assumption that semantic completeness (of, e.g., propositions) or incompleteness (of, e.g., predicates) exactly replicate the corresponding grammatical concepts (of, e.g., sentences and verbs, respectively). We argue that even if one gives up this assumption, it is still possible to keep the compositionality of the semantic interpretation of simple predicate/argument structures. In our opinion, compositionality presupposes that we are able to compare arbitrary meanings in term of information content. This is why our proposal relies on an ‘intrinsically’ type free algebraic semantic theory. The basic entities in our models are neither individuals, nor eventualities, nor their properties, but ‘pieces of evidence’ for believing in the ‘truth’ or ‘existence’ or ‘identity’ of any kind of phenomenon. Our formal language contains a single binary non-associative constructor used for creating structured complex terms representing arbitrary phenomena. We give a finite Hilbert-style axiomatisation and a decision algorithm for the entailment problem of the suggested system.
Keywords Completeness  Compositionality  Decision algorithm  Finite axiomatisability  Finite entailment problem  Function/argument metaphor  Measurements  Natural language semantics  Pieces of evidence
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Reprint years 2007, 2008
DOI 10.1007/s10849-007-9039-0
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References found in this work BETA

Truth-Makers.Kevin Mulligan, Peter Simons & Barry Smith - 1984 - Philosophy and Phenomenological Research 44 (3):287-321.
The Logical Form of Action Sentences.Donald Davidson - 1967 - In Nicholas Rescher (ed.), The Logic of Decision and Action. University of Pittsburgh Press.
From Compositional to Systematic Semantics.Wlodek Zadrozny - 1994 - Linguistics and Philosophy 17 (4):329 - 342.

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