take as an axiom
41mathematics — /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,… …
42Principia Mathematica — For Isaac Newton s book containing basic laws of physics, see Philosophiæ Naturalis Principia Mathematica. The title page of the shortened version of the Principia Mathematica to *56. The Principia Mathematica is a three volume work on the… …
43Hilbert-style deduction system — In logic, especially mathematical logic, a Hilbert style deduction system is a type of system of formal deduction attributed to Gottlob FregeMáté Ruzsa 1997:129] and David Hilbert. These deductive systems are most often studied for first order… …
44Brouwer-Hilbert controversy — A foundational controversy in twentieth century history of mathematics opposed L. E. J. Brouwer, a supporter of intuitionism, and David Hilbert, the founder of formalism.BackgroundThe background for the controversy was set with David Hilbert s… …
45Construction of the real numbers — In mathematics, there are several ways of defining the real number system as an ordered field. The synthetic approach gives a list of axioms for the real numbers as a complete ordered field. Under the usual axioms of set theory, one can show that …
46Little River Band — Infobox musical artist | Name =Little River Band Img size = Background = group or band Alias = Origin = Melbourne, Australia Instrument = Genre = Rock Occupation = Years active = 1975 ndash; present Label = Associated acts = Axiom, Mississippi,… …
47ethics — /eth iks/, n.pl. 1. (used with a sing. or pl. v.) a system of moral principles: the ethics of a culture. 2. the rules of conduct recognized in respect to a particular class of human actions or a particular group, culture, etc.: medical ethics;… …
48set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …
49Anaxagoras 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… …
50List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …
