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logic and the language of proofs - propositions

Note: the extension is needed to be completed

2.1.14 (Hard) Suppose that P,Q are propositions. Argue that any of the 16 possible truth tables P Q? T T/T/F T FT/F F F T/F represents an expression ? created using only P and Q and the operations A, V, Can you extend your argument to show that any truth table with any number of inputs represents some logical expression?

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