2250 Lecture Notes - Atomic Sentence, Alpha, Counterexample
5 Feb 2013
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Document Summary
Whereas the syntax for sl concerns what strings of vocabulary elements are well formed (are sentences of sl), the semantics concerns what meaning is to be ascribed to the vocabulary elements. These notes are divided into the following sections: Definitions of truth-functional properties and relations of sentences and groups of sentences of. Comparison of truth functional with logical properties and relations. English sentences, even english simple sentences, have a rich and complex meaning. This is not the case with sentences of sl. We will say that the meaning of an atomic sentence of sl is just its truth value. We further specify that there are only two truth values, t and f (or true and false), and that every atomic sentence of sl must have one or other but not both of these truth values. In english, the truth or falsity of a simple sentence is very often determined by the way the world is.
