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Defined the semantics of predicate logic

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Question

1. Give a Fitch-style proof of ∃y(∃yP(y) → P(y)) from no assumptions.

2. Remember that, when we defined the semantics of predicate logic, we forced models to have non-empty domains. Explain why, if we instead allowed models to have empty domains, then the proof system we gave in class would no longer be sound.

3. If we allowed models to have empty domains, would our proof system still be complete?

Reference no: EM133545596

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