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Xenocrates described the universe as arranged in sequence: (1) forms(numbers);(2) lines; (3) planes; (4) solids; (5) solids in motion, i.e. astronomical bodies; …; (n) ordinary perceptible things. There is a contrast between Xenocrates and Speusippus in the explanation of the universe.
His teachings followed those of Plato, which he attempted to define more closely, often with mathematical elements. He distinguished three forms of being: the sensible, the intelligible, and a third compounded of the two, to which correspond respectively, sense , intellect and opinion .
Xenocrates held that being originated with the two ultimate principles, the One and the Indefinite Dyad (plurality, the everflowing, or the many) which generated the form-numbers from which arose lines, planes, solids, solids in motion (astronomical bodies) and ultimately perceptible things.
Jul 25, 2003 · No one reports anything for Xenocrates about what we would think of as pure logic; Sextus (Adversus mathematicos vii 147–149) gives us a scrap about epistemology. Xenocrates is supposed to have divided the substances or entities into three groups: perceptible, intelligible, and believable (also referred to as ‘composite’ and ‘mixed’).
Apr 15, 2020 · 1. Euclid. He was also known as Euclid of Alexandria and referred as the father of geometry deduced the Euclidean geometry. The name has it all, which in Greek means “renowned, glorious”. He worked his entire life in the field of mathematics and made revolutionary contributions to geometry. 2. Pythagoras.
Jul 25, 2003 · The core of Xenocrates' view is that “the forms and the numbers have the same nature:” that is, the formal numbers and the mathematical numbers have the same nature. A series of half a dozen passages in the Metaphysics can, in consequence of this identification, be associated with Xenocrates (see XII 1. 1069a30-b2, XIII 1. 1076a20, 6 ...
Xenocrates wrote on philosophy and mathematics. Diogenes Laertius gives the titles of two mathematics books by Xenocrates, namely On numbers and The theory of numbers. All his books are lost and it would appear that there only ever existed a single copy of each in his own hand. In many ways Xenocrates was not a particularly original thinker.
