Rabbi Levi Ben Gershon and the origins of mathematical induction

  title={Rabbi Levi Ben Gershon and the origins of mathematical induction},
  author={N. L. Rabinovitch},
  journal={Archive for History of Exact Sciences},
The part of the proof which consists of establishing (b), namely that if P(n) then P(n + 1), is called the induction step, while that part which demonstrates (a) is the basis of the induction.1 The name "mathematical induction'7 is apparently due to De Morgan (I838)2. As for the use of recursion in formal proofs, Blaise Pascal (I623 1662) has been credited with the invention of this technique. Thus Florian Cajori3, although he found evidence for "recurrent processes" in Campanus (1260) and even… Expand
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