Descartes’s Mathematical Thought by Chikara Sasaki (auth.)

By Chikara Sasaki (auth.)

Covering either the background 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 historical past of early smooth China and Japan. in particular, it exhibits what the concept that of "mathesis universalis" intended earlier than and through the interval of Descartes and the way it motivated the younger Descartes. actually, it used to be the main primary mathematical self-discipline in the course of the 17th century, and for Descartes a key concept which can have resulted in his novel arithmetic of algebraic analysis.

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E. the mathematical sciences) are useful and necessary for rightly understanding the rest of philosophy, and that they are at the same time an embellishment to all other arts, so that perfect knowledge might be acquired; indeed, these sciences and natural philosophy have so close an affinity with one another that unless they give each other mutual aid they can in no way preserve their own status. For this to happen, it will be necessary first that physics students should study mathematical disciplines at the same time-a habit that has always been retained in the society's schools thus far.

N. 15), p. 225. 24 CHAPTER 1 DESCARTES AND JESUIT MATHEMATICAL EDUCATION tions; to statesmen the distinctly admirable arts for conducting well in domestic and military services; to physicists the forms and differences of celestial changes, lights, colors, transparent bodies, and sounds; to metaphysicians the number of the spheres and angels (intelligentiae); to theologians the distinguished parts of the divine maker; to the court of justice and ecclesiastical community accurate computations of times.

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. 100-101. §3 Mathematical Studies in the Ratio Studiorum 21 the Jesuits of the sixteenth and early seventeenth centuries the religious aim had a very concrete import. We shall analyze this problem in the next section where we try to understand the motives for mathematical studies.

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