Question

Are these statements true or false? The universe of discourse is the set of all people, and T(x, y) means “x and y are twins.” Explain how you determined your solution.

    1. ∀x ¬T(x, x)
    2. ∃y T(y, y)
    3. ∃x ∀y T(x, y)
    4. ∀x ¬∃y T(x, y)
    5. ∃x ¬∃y T(x, y)
    6. ∀x ¬∀y T(x, y)

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Logic and set theory

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