Proof in C17 Algebra
نویسنده
چکیده
This paper considers the birth of algebraic proof by looking at the works of Cardano, Viète, Harriot and Pell. The transition from geometric to algebraic proof was mediated by appeals to the Eudoxan theory of proportions in book V of Euclid. The crucial notational innovation was the development of brackets. By the middle of the seventeenth century, geometric proof was unsustainable as the sole standard of rigour because mathematicians had developed such a number and range of techniques that could not be justified in
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By the middle of the sixteenth century there was in Europe, on the one hand, geometry, which had well-established standards and methods of proof, and a large body of actual proofs. On the other hand, there was an emerging body of analytic techniques that did not have their own criteria or means of proof. These techniques developed naturally out of simple recipes for performing arithmetical calc...
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