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divisibility assumption

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  • Leibniz: truth, knowledge and metaphysics — Nicholas Jolley Leibniz is in important respects the exception among the great philosophers of the seventeenth century. The major thinkers of the period characteristically proclaim the need to reject the philosophical tradition; in their… …   History of philosophy

  • Gödel numbering for sequences — A Gödel numbering for sequences provides us an effective way to represent each finite sequence of natural numbers as a single natural number. Of course, the embedding is surely possible set theoretically, but the emphasis is on the effectiveness… …   Wikipedia

  • Fibonacci number — A tiling with squares whose sides are successive Fibonacci numbers in length …   Wikipedia

  • Pythagoreans and Eleatics — Edward Hussey PYTHAGORAS AND THE EARLY PYTHAGOREANS Pythagoras, a native of Samos, emigrated to southern Italy around 520, and seems to have established himself in the city of Croton. There he founded a society of people sharing his beliefs and… …   History of philosophy

  • Schopenhauer's criticism of the Kantian philosophy — Schopenhauer appended a criticism to the first volume of his The World as Will and Representation . He wanted to show Kant s errors so that Kant s merits would be appreciated and his achievements furthered. Kant s merits According to Schopenhauer …   Wikipedia

  • Critique of the Kantian philosophy — Schopenhauer appended a criticism to the first volume of his The World as Will and Representation. He wanted to show Kant s errors so that Kant s merits would be appreciated and his achievements furthered. At the time he wrote his criticism,… …   Wikipedia

  • Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

  • Partially ordered set — The Hasse diagram of the set of all subsets of a three element set {x, y, z}, ordered by inclusion. In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering,… …   Wikipedia

  • Mesopotamia, history of — ▪ historical region, Asia Introduction  history of the region in southwestern Asia where the world s earliest civilization developed. The name comes from a Greek word meaning “between rivers,” referring to the land between the Tigris and… …   Universalium

  • Anaxagoras and the atomists — C.C.W.Taylor ANAXAGORAS In the course of the fifth century BC the political and cultural pre eminence of Athens attracted to the city a considerable number of intellectuals of various kinds from all over the Greek world. This phenomenon, the so… …   History of philosophy

  • Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… …   History of philosophy

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