pertaining to it, a new art and his own, as it were. Cf. P. 153 and Note 207.) But at the same time he concedes to Harriot a far larger role in the elaboration of this discipline than he really deserves. Harriot, who takes over Vieta’s terminology in toto, distinguishes (p. 2, Def. 6–7; alsop. 3, Def. 11), quite logically, only two parts of “analytic”: “zetetic” (as analysis — or resolutio — logica sive discursiva) and “exegetic” (as analysis — or resolutio — operativa); cf. Pp. 166–168. Of

retained by Vieta; in its original sense the logistice numerosa presupposed a homogeneous field of monads (cf. Pp. 41; 46; 49; 53) and was consequently dependent on “arithmoi” and their relations. After Vieta has given the “most venerable and significant” ladder of “genera” of unknown magnitudes, “a venerable series or scale of magnitudes ascending or descending from genus to genus by their own power in [continuous] proportion”248 (solemnis magnitudinem ex genere ad genus vi sua proportionaler

his mathematical science of nature.328 C The concept of “number” in Wallis The final act in the introduction of the new “number” concept is due to Wallis (1616–1703). On the one hand, Wallis belongs to the tradition founded by Vieta and mediated by Harriot’s Artis analyticae praxis (cf. Note 275) and Oughtred’s Clavis mathematicae329 while, on the other, he succumbs to the influence chiefly of Descartes, but also of Stevin. Since he is in the habit of combining his mathematical

ego rationem video verisimiliorem, quam quod Arithmeticorum Unum [non vero, ut oportuit, Nullum] cum Puncto Geometrico comparabant.) But this, he says, is just the crucial point — to understand “Algebra or Analytic” as an “Universal Art” and yet to confine it within the bounds of the realm of arithmetic: “What they tried to explain by many geometric dimensions, we contain within the bounds of arithmetic.” (Quod illi per plurium dimensionum Geometricarum suppositionem conantur explicare, nos inter

Ritter also made a modern French translation of the Isagoge and the Notae priores ad logisticen speciosam (Bullettino di bibliografia e di storia delle scienze matematiche e fisiche, I, pubbl. da B. Boncampagni, I [1868], pp. 225–276). 194. Ritter, Revue occidentale philosophique ..., Vol. X, p. 242. 195. Ibid., p. 269. 196. Ibid., p. 241. 197. In the Dedicatory Letter to Catherine of Parthenay, which is prefixed to the Isagoge Vieta says: “... tibi autem [debeo], o diva Melusinis, omne