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<p>Discussions on the compositionality of inferential roles concentrate on extralogical vocabulary. However, there are nontrivial problems concerning the compositionality of sentences formed by the standard constants of propositional logic. For example, is the inferential role of A<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\wedge\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>∧</mo> </math></EquationSource> </InlineEquation>B uniquely determined by those of A and B? And how is it determined? This paper investigates such questions. We also show that these issues raise matters of more significance than may <i>prima facie</i> appear.</p>

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Compositionality and Inferential Roles of Logical Constants

  • 期刊论文

  • 发表日期：

    2025年8月26日

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  • Jaroslav Peregrin

摘要

Discussions on the compositionality of inferential roles concentrate on extralogical vocabulary. However, there are nontrivial problems concerning the compositionality of sentences formed by the standard constants of propositional logic. For example, is the inferential role of A \(\wedge\) ∧ B uniquely determined by those of A and B? And how is it determined? This paper investigates such questions. We also show that these issues raise matters of more significance than may prima facie appear.