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Mathematical induction

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  1. a method of mathematical proof typically used to establish that a given statement is true of all natural numbers

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  2. In fact, mathematical induction is a form of deductive reasoning and is fully rigorous

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  3. It is done by proving that the first statement in the infinite sequence of statements is true, and then proving that if any one statement in the infinite sequence of statements is true, then so is the next one

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  4. The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
  5. should not be misconstrued as a form of inductive reasoning, which is considered non-rigorous in mathematics (see Problem of induction for more information)

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 13, 2008
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