数学归纳法的逻辑正确性会在哪儿被质疑？ Theorem 17.1 (Principle of mathematical induction). For an integer n,let P(n)denote an assertion.Suppose that (i)(The base step)P(1)is true,and (ii)(The induction step)for all positive integers n,if P(n)is true,then P(n+1)is true. Then P(n)holds for all positive integers n. P(1),n(P(n)→P(n+1)能否推理出nP(n)? P(1)∧n(P(n)→P(n+1)→nP(n)是否永真数学归纳法的逻辑正确性会在哪儿被质疑？ 𝑃 1 , ∀𝑛 𝑃 𝑛 → 𝑃 𝑛 + 1 能否推理出∀𝑛𝑃(𝑛)? 𝑃 1 ∧ ∀𝑛 𝑃 𝑛 → 𝑃 𝑛 + 1 → ∀𝑛𝑃 𝑛 是否永真