MODR 2640 Lecture Notes - Sentence Clause Structure, Truth Table

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Most of what we know developed in the last 100-150 years. Symbols developed as a way to combine sentences. A sentence is compound if it contains another sentence as a component. E. g. , the husband of sarah palin is tall. A sentence s is a component of a larger sentence if the result of replacing it by any other sentence is still something that makes sense. E. g. , nixon resigned after the incriminatory tapes were made public. A sentence is simple or atomic if it is not a compound sentence. Susan and bob love salsa dancing. (compound subject) John went to new york and boston. (compound predicate) We are going to assume that every declarative sentence expresses a statement and: every statement has a truth-value (is either true or false, no statement has more than one truth-value (it doesn"t change) Now we begin to introduce new symbols always used to form compound statements. Sam went to bed and mary went out dancing.

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