incommensurable line segments

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• Incommensurable magnitudes — The Greek discovery of incommensurable magnitudes changed the face of mathematics. At its most basic level it shed light on a glaring contradiction within the then current Greek conception of mathematical thought, which eventually resulted in a… …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) …   Wikipedia

• Irrational number — In mathematics, an irrational number is any real number that is not a rational number that is, it is a number which cannot be expressed as a fraction m / n , where m and n are integers, with n non zero. Informally, this means numbers that cannot… …   Wikipedia

• Exact sciences (The) in Hellenistic times: texts and issues — The exact sciences in Hellenistic times: Texts and issues1 Alan C.Bowen Modern scholars often rely on the history of Greco Latin science2 as a backdrop and support for interpreting past philosophical thought. Their warrant is the practice… …   History of philosophy

• algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… …   Universalium

• Commensurability (mathematics) — This article is about the meaning of commensurable and derived words in mathematics. For other senses, see Commensurability (disambiguation). In mathematics, two non zero real numbers a and b are said to be commensurable if a/b is a rational… …   Wikipedia

• infinity — /in fin i tee/, n., pl. infinities. 1. the quality or state of being infinite. 2. something that is infinite. 3. infinite space, time, or quantity. 4. an infinite extent, amount, or number. 5. an indefinitely great amount or number. 6. Math. a.… …   Universalium

• Eudoxus of Cnidus — (Greek Εὔδοξος ὁ Κνίδιος) (410 or 408 BC ndash; 355 or 347 BC) was a Greek astronomer, mathematician, scholar and student of Plato. Since all his own works are lost, our knowledge of him is obtained from secondary sources, such as Aratus s poem… …   Wikipedia

• Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …   History of philosophy

• science, philosophy of — Branch of philosophy that attempts to elucidate the nature of scientific inquiry observational procedures, patterns of argument, methods of representation and calculation, metaphysical presuppositions and evaluate the grounds of their validity… …   Universalium