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(n≥1ΛP(n)→P(n+1)能否推理出VmP(n)? (P(1)An(n≥1AP(m)→P(n+1)→P(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 𝑛 ≥ 1 ∧ 𝑃 𝑛 → 𝑃 𝑛 + 1 能否推理出∀𝑛𝑃(𝑛)? 𝑃 1 ∧ ∀𝑛 𝑛 ≥ 1 ∧ 𝑃 𝑛 → 𝑃 𝑛 + 1 → ∀𝑛𝑃 𝑛 是否永真 ?