Proof in C17 Algebra
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 b...
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| Format: | Article |
| Language: | deu |
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Éditions Kimé
2005-08-01
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| Series: | Philosophia Scientiæ |
| Online Access: | http://journals.openedition.org/philosophiascientiae/378 |
| _version_ | 1797402445058408448 |
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| author | Brendan Larvor |
| author_facet | Brendan Larvor |
| author_sort | Brendan Larvor |
| collection | DOAJ |
| description | 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 geometric terms. |
| first_indexed | 2024-03-09T02:25:24Z |
| format | Article |
| id | doaj.art-188cc2a330fd4d18a26c998d115a9d95 |
| institution | Directory Open Access Journal |
| issn | 1281-2463 1775-4283 |
| language | deu |
| last_indexed | 2024-03-09T02:25:24Z |
| publishDate | 2005-08-01 |
| publisher | Éditions Kimé |
| record_format | Article |
| series | Philosophia Scientiæ |
| spelling | doaj.art-188cc2a330fd4d18a26c998d115a9d952023-12-06T15:54:44ZdeuÉditions KiméPhilosophia Scientiæ1281-24631775-42832005-08-015435910.4000/philosophiascientiae.378Proof in C17 AlgebraBrendan LarvorThis 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 geometric terms.http://journals.openedition.org/philosophiascientiae/378 |
| spellingShingle | Brendan Larvor Proof in C17 Algebra Philosophia Scientiæ |
| title | Proof in C17 Algebra |
| title_full | Proof in C17 Algebra |
| title_fullStr | Proof in C17 Algebra |
| title_full_unstemmed | Proof in C17 Algebra |
| title_short | Proof in C17 Algebra |
| title_sort | proof in c17 algebra |
| url | http://journals.openedition.org/philosophiascientiae/378 |
| work_keys_str_mv | AT brendanlarvor proofinc17algebra |