By Edward Grant

First version. Translated and edited through Edward provide. First in an meant sequence of translations of Nicole Oresme's works. the 2 texts awarded and mentioned during this quantity care for speed and astronomy. additionally features a brief biography on Oresme. Black and white reproductions of 11 pages from the 2 texts. xxii, 466 pages plus eleven plates. fabric. huge 8vo..

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Extra info for De proportionibus proportionum and Ad pauca respicientes

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62 A possible source for this portion of Oresme’s attack against the second false rule may have been Jean Buridan, who offers substantially the same argument against the same rule (Oresme’s second false rule which Buridan calls the “ first rule” [prima regula^ in his Questions on the Eight Books of the Physics of Aristotle. Buridan discusses first a rule that is a direct consequence of the false rule. ” (“ ... ” —Acutissimi philosophi reverendi Magister Johannis Buridani subtilissime questiones super octo phisicorum libros Aristotelis, fol.

I-7 5 ; see pp. 363-67) and seven propositions, the first of which treats some of the same material covered by Bradwardine in Chapter II, Part 3, and Chapter III of his Tractatus de proportionibus. The first propOne-to-one correspondences between an infinite set and its subsets were known to the Stoics. Sambursky, Physics of the Stoics, p. 97, observes, “ The main charac­ teristic of the infinite set—the fact that it contains subsets which are equivalent to the whole—was known to the Stoics and formulated as follows: ‘Man does not con­ sist of more parts than his finger, nor the cosmos of more parts than man.

In the present example he needed to know only that five exponential parts were required, which was obvious from the fact that the given ratio is From the denominator of the exponent he knew that each of the five parts had to be He then simply assumes that the first two mean proportionals are appropriate, so that A , C, D , and B are in geometric proportional­ ity, from which it follows that AjC-CjDD/B constitute three of the five required exponential parts. Obviously two more ex­ treme terms, or lines, are needed and it is indifferent whether they are greater or smaller than A , C, D, B.

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