Quote: a sentence is true if it is satisfied by all objects, and false otherwise; start with simplest sentential functions and then compound functions

Quotation Skeleton

To obtain a definition of satisfaction … [we] indicate which objects satisfy the simplest sentential … Once the general definition of satisfaction is obtained, … variables, i.e., to sentences. It turns out that … or by no objects. Hence we arrive at … is satisfied by all objects, and false otherwise. … [Higg.: use satisfaction since quantifiers can apply to an infinite set of predicates. Truth is then just a restriction of satisfaction to sentences.]   Google-1   Google-2

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