# Rabbi Levi Ben Gershon and the origins of mathematical induction

@article{Rabinovitch1970RabbiLB, title={Rabbi Levi Ben Gershon and the origins of mathematical induction}, author={N. L. Rabinovitch}, journal={Archive for History of Exact Sciences}, year={1970}, volume={6}, pages={237-248} }

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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Bibliography for the history of induction in mathematics

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Gersonides’ Maaseh Hoshev, (The Art of Calculation), is a major work known for its early use of rigorous combinatorial proofs and mathematical induction. There is a large section of problems at the… Expand

The Missing Problems of Gersonides-A Critical Edition, I

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Abstract Gersonides' Maaseh Hoshev (The Art of Calculation) is a major work known for its early use of rigorous combinatorial proofs and mathematical induction. There is a large section of problems… Expand

On the Origin of Symbolic Mathematics and Its Significance for Wittgenstein’s Thought

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The main topic of this essay is symbolic mathematics or the method of symbolic construction, which I trace to the end of the sixteenth century when Franciscus Vieta invented the algebraic symbolism… Expand

An Archimedean tract of immanuel Tov-elem (14th cent.)

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Abstract Immanuel ben Jacob Tov-elem (Bonfils) of Tarascon (France) was one of the leading mathematicians of the 14th century. A single copy of an Archimedean tract in Hebrew by Immanuel is known.… Expand

Revisiting Al-Samaw’al’s table of binomial coefficients: Greek inspiration, diagrammatic reasoning and mathematical induction

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In a famous passage from his al-Bāhir, al-Samaw’al proves the identity which we would now write as $$(ab)^n=a^n b^n$$(ab)n=anbn for the cases $$n=3,4$$n=3,4. He also calculates the equivalent of the… Expand

Geometry and arithmetic in the medieval traditions of Euclid’s Elements: a view from Book II

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This article explores the changing relationships between geometric and arithmetic ideas in medieval Europe mathematics, as reflected via the propositions of Book II of Euclid’s Elements. Of… Expand

The Hebrew Mathematical Tradition

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In Part One of this essay, we look in detail at the arithmetic and numerology of Abraham Ibn Ezra, and we continue with a broad description of Hebrew contributions in geometry. In Part Two, we shift… Expand

A framework for integrating the history of mathematics into teaching in Shanghai

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One major obstacle for integrating the history of mathematics in teaching (hereafter referred to as IHT) is how to help teachers, particularly those who lack experience in IHT, use historical… Expand