It follows now from mathematical induction that the theorem is true for finite sets of any size.
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As a science it studies the actual social-political order by means of mathematical induction ."
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This method allows direct implementation of functions defined by mathematical induction and recursive divide and conquer algorithms.
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Keep in mind, though, that mathematical induction doesn't go all the way to infinity.
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The shorter phrase " proof by induction " is often used instead of " proof by mathematical induction ".
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:Another valuable technique to learn when looking for patterns in sequences and series is proof by mathematical induction.
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Assume that 0 = 1, and proceed by mathematical induction : 0 = 0 by the axiom of equality.
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This method is also known as the "'cyclic method "'and contains traces of mathematical induction.
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In common terminology, using the stated approach is referred to as using the " Principle of mathematical induction ".
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In mathematics, proofs including those using mathematical induction are examples of deductive reasoning, and inductive reasoning is excluded from proofs.
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