Alfred Tarski, who pioneered the mathematical semantics of formal languages (Tarski, 1935), adamantly maintained the impossibility of a mathematical semantics of natural language. But nevertheless, his work spawned a minor intellectual industry in the analysis of natural languages using formal semantics. In this chapter I will add a new twist to this research programme — I will give a mathematical analysis of language and meaning from a pattern-theoretic rather than formal-logical angle, with an emphasis on the fundamentally systemic nature of language.
KeywordsBoolean Logic Syntactic Category Semantic System Syntactic Rule Grammatical Rule
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