By J. N. Mohanty
Well known thinker J. N. Mohanty examines the diversity of Indian philosophy from the Sutra interval throughout the seventeenth century Navya Nyaya. rather than focusing on different structures, he makes a speciality of the most important thoughts and difficulties handled in Indian philosophy. The e-book contains discussions of Indian ethics and social philosophy, in addition to of Indian legislations and aesthetics.
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Additional info for Classical Indian Philosophy: An Introductory Text
Of course, as paradigms ideal numbers do not have the same properties as mathematical numbers or things. Rather, ideal numbers establish the structure of mathematical numbers and things and the pattern of their cognition (cf. Tim. 31C–32A, 35A–36B). The mathematical Pythagorean approach of Plato is also reflected in the very terms he uses for the principles—the one (ἕν or μονάς) and the dyad (δυάς). The principles are the principles of numbers, although neither of them is properly a number. Since everything that is comes from the two principles, the ideal numbers, a synthetic unity of the same and the other, are deduced from them, too (cf.
By adding the method of definition [Alcinous, Didask. 6]). These are: (1) ἔλεγξις or ἔλεγχος; (2) συναγωγή and διαίρεσις, the collection of species under a superior genus and the division of a genus according to species (although the starting point for a dieresis is usually hypothetical, and each step in division is rather arbitrary, Plato, Phaedr. 265D–266C); (3) ἀνάλυσις and σύνθεσις (which identify elementary constituents [στοιχεῖα] within a complex whole): the model is that of speech as divisible into sentences, words, syllables, and letters (on the similarity of elements to syllables and letters in speech, see Plato, Theaet.
Harm. 30–31 = Aristotle, fr. 111 Ross). The famous μηδεὶς ἀγεωμέτρητος εἰσίτω, “Nobody unversed in geometry should enter,” reportedly written above the entrance to the Academy, is probably a later rhetorical invention (as Plutarch says, Πλάτων ἔλεγε τὸν θεὸν ἀεὶ γεωμετρεῖν [Quaest. Conviv. 4, 719F), yet it captures the spirit of the Academic attitude toward philosophy. Ideal and Mathematical Numbers. A crucial point for understanding Plato’s philosophy of mathematics is the intermediateness, or middle position, of mathematical objects (Aristotle, Met.