Consider the following statement form. p ∨ ~q → r ∨ q (a) The logical equivalences  p → q ≡ ~p ∨ q  and  p ↔ q ≡ (~p ∨ q) ∧ (~q ∨ p)  make it possible to rewrite the given statement form using only ~, ∧, and ∨ and not  → or ↔.  What is the result when the form is expressed without →?

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.