By Chikara Sasaki (auth.)

Covering either the historical past of arithmetic and of philosophy, Descartes's Mathematical Thought reconstructs the highbrow occupation of Descartes so much comprehensively and initially in a world standpoint together with the heritage of early smooth China and Japan. specially, it exhibits what the concept that of "mathesis universalis" intended earlier than and through the interval of Descartes and the way it prompted the younger Descartes. in truth, it used to be the main primary mathematical self-discipline through the 17th century, and for Descartes a key idea which can have resulted in his novel arithmetic of algebraic analysis.

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Romano, Op. cit. (n. 13), p. 617; Monumenta Germaniae Paedagogica, ed. K. Kehrbach, Band V, Ratio Studiorum et Institutiones Scholasticae Soc. J. 2. t. II, Ratio Studiorum ann. 1586. 1599. 1832, ed. G. M. Pachtler (Berlin, 1887), p. 348. The translation is taken from Edward A. , St. Ignatius and the Ratio Studio rum (New York/London, 1933), p. 175. 26 Monumenta Germaniae Paedagogica, ed. K. Kehrbach, Band II, Ratio Studiorum et Institutiones Scholasticae Soc. J. 1. (Berlin, 1887), pp. 52-54. , pp.

62 One of the reasons that the Jesuits planned the Ratio studiorum was to provide their colleges with common standard regulations and methods of teaching. ,,63 The college of La Fleche was one of those schools that met the demands of French society. Our understanding of this general background leads us to maintain that the Jesuits had to make up deficiencies in the old scholastic curriculum. 64 But, generally speaking, only elementary arithmetic and the principal parts of Euclid's Elements were taught, and even they were studied in a very specific way: They were studied basically not for their own sake but for the sake of the other branches of learning.

Clavius was the most influencial mathematician not simply of the Collegio Romano but of the entire Society of Jesus, after he became professor of mathematics at the college in 1563. , p. 149. Monumenta Paedagogica Societatis Iesu, ed. L. Lukacs, t. II (1557-1572), (Rome, 1974), p. " "Sed spherae saltern cognitio habenda est [.. " 32Riccardo G. Villoslado, Storia del Collegio Romano dal suo inizio {1551} alia soppressione della Compagnia di Gesu {1773} (Rome, 1954), p. 335, and Ugo Baldi, Legem impone subactis: Studi su filosofia e scienza dei Gesuiti in Italia, 1540-1632 (Rome, 1992), p.

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