Search Results

You are looking at 1 - 4 of 4 items for :

  • All: ancient geometry x
  • 19th & 20th Century Philosophy x
Clear All
Author: Benjamin Wilck

justification of some other sort. Sceptical inquiry requires opposing arguments, or considerations, both in favour of and against the given dogmatic proposition, whereas arguments or considerations in favour of particular definitions are notoriously absent in ancient Greek geometry. While this might explain why

In: History of Philosophy & Logical Analysis
Author: Benjamin Wilck

ontological classification of Euclid’s mathematical universe: The possibility that Euclid’s definitions convey a metaphysical theory of mathematical objects has been either ignored by scholarship on Euclid and ancient philosophy, or has been rejected as false. Maziarz and Greenwood (1968, 243), for

In: History of Philosophy & Logical Analysis

“astronomy and geometry and studies of that sort” ( Antidosis 261), seek an understanding beyond the ready grasp of finite human beings. 1 Such inquiries are “vain” ( Antidosis 269). Students, Isocrates contends, should not “allow their minds to be dried up by these barren subtleties, nor stranded on the

In: History of Philosophy & Logical Analysis
Author: Dorothea Frede

indications that Plato regards harmony, order, and proportion as the basis of all proper objects, these indications become prominent in certain middle and late dialogues. Thus, the future leaders of the ideal city have to undergo ten years’ training in the study of arithmetic, geometry (including the not yet

In: History of Philosophy & Logical Analysis