Syntax Definition wn 2

Description: If ph is a wff, so is -. ph or "not ph." Part of the recursive definition of a wff (well-formed formula). In classical logic (which is our logic), a wff is interpreted as either true or false. So if ph is true, then -. ph is false; if ph is false, then -. ph is true. Traditionally, Greek letters are used to represent wffs, and we follow this convention. In propositional calculus, we define only wffs built up from other wffs, i.e. there is no starting or "atomic" wff. Later, in predicate calculus, we will extend the basic wff definition by including atomic wffs (weq 1137 and wel 1139).

Hypothesis

Ref	Expression
wph	wff ph

Assertion

Ref	Expression
wn	wff -. ph

This syntax is primitive. The first axiom using it is ax-3 6.

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