Consider propositional wffs that contain only the connectives `, ~, and S (no negation)

Chapter 2, Problem 75

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Consider propositional wffs that contain only the connectives `, ~, and S (no negation) and where wffs must be parenthesized when joined by a logical connective. Count each statement letter, connective, or parenthesis as one symbol. For example, ((A) ` (B)) ~ ((C) ` (D)) is such a wff, with 19 symbols. Prove that any such wff has an odd number of symbols

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