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4 Cards in this Set

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  • Back

What is a string?



1. String: any finite sequence of sentence symbols, connectives, parentheses from L



What is a well-formed formula?

A wff is a string constructed by the following rules:


1) a string of a single sentence symbol in L


2) If B is a wff, then ¬B is a wff


3) If B and C are wff, then (B & C), (B v C), (B -> C) and (B<->C) are all wff


4) Nothing else is a wff



Steps of Induction

1) Basic step (Base Case): it's identified that certain objects have a desired characteristic


2) Inductive step: a complex of those objects inherit that characteristic based on the ways in which that complex may be formed


3) Concluding: determines that there are no ways in which the complex could be created such that it wouldn't inherit that characteristic.