Philosophy 2250 Lecture Notes - Atomic Sentence, Sentence Clause Structure, Formal Language
11 Sep 2013
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Sentence letters of sl: a,b,c,a1, a2, a3. Syntactic formation rules: an expression of sl is any string of vocabulary elements, a sentences of sl is a string of vocabulary elements assembled in accord with the following rules: If p is a sentence of sl, then ~p is a sentence of sl. If p and q are (not necessarily distinct) sentences of sl, then (p & q), (p v q), (p q), and (p q) are sentences of sl. Nothing is a sentence of sl unless it can be formed by repeated applications of rules 1-3. Informal notational conventions: allows [,] as substitutions for (,), allow omission of outer parentheses. Its main connective is ~ and its immediate component is p: a sentence of the form (p & q) is a conjunction. It"s main connective is & and p and q are immediate components.
