Below are two strategies for determining the truth value of a statement involving a positive number x and another statement P(x).
(i) Find some x> 0 such that P(x) is true.
(ii) Let x be the name for any number greater than 0 and show P(x) is true.
For each statement below, indicate which strategy is more appropriate.
(a) ∀ x > 0, P(x).
(b) ∃ x > 0 ∋ P(x).
(c) ∃ x > 0 ∋ ~P(x).
(d) ∀ x > 0, ~P(x).
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