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Mathematics is the discipline that deals with concepts such as quantity, structure, space and change. It evolved, through the use of abstraction and logical reasoning, from counting, calculation, measurement and the study of the shapes and motions of physical objects. Mathematicians explore these and related concepts, aiming to formulate new conjectures and establish their truth by rigorous deduction from appropriately chosen axioms and definitions.
Mathematics is used throughout the world in many fields, including science, engineering, medicine and economics. These fields both inspire and make use of new discoveries in mathematics. New mathematics is also created for its own sake, without any particular application in view, a common practice in the branch known as pure mathematics.
The word "mathematics" is often abbreviated math in the U.S. and Canada and maths in Britain, Ireland and many Commonwealth countries.
More on [ Mathematics ]
Non Euclidean :: Geometry
History :: Math
Logic and Foundations :: Math
Philosophy of Logic :: Philosophy
U are the beautiful distress of mathematics, for you i would peel open the clouds like new fruit & give you lightning & thunder as a dowry.
KLmartinez (Miss Kellie Bellie) Fri, 25 Dec 2009 21:51:48 -0000
U are the beautiful distress of mathematics, for you i would peel open the clouds like new fruit & give you lightning & thunder as a dowry.
Thanks for the love! -->RT @curlonjaymar I favorited a YouTube video -- BORN - SuPreMe MaTheMaTiCs http://youtu.be/SKsj9XcGZNY?a
the144elite (ELiTE WORLD) Fri, 25 Dec 2009 21:45:52 -0000
Thanks for the love! -->RT @curlonjaymar I favorited a YouTube video -- BORN - SuPreMe MaTheMaTiCs http://youtu.be/SKsj9XcGZNY?a
Animated classic "The Dot & the Line-A Romance in Lower Mathematics": http://bit.ly/7ed9Qb - Only cartoon ending with math pun! Brilliant!
LaurenWeinstein (Lauren Weinstein) Fri, 25 Dec 2009 21:39:41 -0000
Animated classic "The Dot & the Line-A Romance in Lower Mathematics": http://bit.ly/7ed9Qb - Only cartoon ending with math pun! Brilliant!
@ace_roqboi Its called Supreme Mathematics, king. Nation of Gods and Earths.
mentalORGASM (â¥Ra-El⥠) Fri, 25 Dec 2009 21:23:02 -0000
@ace_roqboi Its called Supreme Mathematics, king. Nation of Gods and Earths.
Additional Mathematics Project Work 2007 Form 4 'obesity Awareness ... http://bit.ly/8g0HMG
MyTaiSlim (Trish Ashley) Fri, 25 Dec 2009 21:16:43 -0000
Additional Mathematics Project Work 2007 Form 4 'obesity Awareness ... http://bit.ly/8g0HMG
Additional Mathematics Project Work 2007 Form 4 'obesity Awareness ... http://is.gd/5Bp3w
families_health (Epping Site) Fri, 25 Dec 2009 20:57:31 -0000
Additional Mathematics Project Work 2007 Form 4 'obesity Awareness ... http://is.gd/5Bp3w
19th Century Logic between Philosophy and Mathematics - Online article by Volker Peckhaus.
Canadian Society for History and Philosophy of Mathematics - Bulletin, members' pages, meetings.
Constructive Mathematics - Constructive mathematics is distinguished from its traditional counterpart, classical mathematics, by the strict interpretation of the phrase `there exists' as `we can construct'. In order to work constructively, we need to re-interpret not only the existential quantifier but all the logical connectives and quantifiers as instructions on how to construct a proof of the statement involving these logical expressions. From the Stanford Encyclopedia.
Foundations: Philosophy of Mathematics - A study guide on the Philosophy of Mathematics provided by The Objectivist Center, including a study guide on the subject.
Hilbert's Program - In 1921, David Hilbert made a proposal for a formalist foundation of mathematics, for which a finitary consistency proof should establish the security of mathematics. From the Stanford Encyclopedia, by Richard Zach.
Holistic Math - An enlarged paradigm of mathematical reality that includes psychology as an integral component.
Inconsistent Mathematics - Inconsistent mathematics is the study of the mathematical theories that result when classical mathematical axioms are asserted within the framework of a (non-classical) logic which can tolerate the presence of a contradiction without turning every sentence into a theorem. By Chris Mortensen, from the Stanford Encyclopedia.
Indispensability Arguments in the Philosophy of Mathematics - From the fact that mathematics is indispensable to science, some philosophers have drawn serious metaphysical conclusions. In particular, Quine and Putnam have argued that the indispensability of mathematics to empirical science gives us good reason to believe in the existence of mathematical entities. From the Stanford Encyclopedia.
Intuitionistic Logic - Intuitionistic logic encompasses the principles of logical reasoning which were used by L. E. J. Brouwer in developing his intuitionistic mathematics, beginning in [1907]. Because these principles also underly Russian recursive analysis and the constructive analysis of E. Bishop and his followers, intuitionistic logic may be considered the logical basis of constructive mathematics. From the Stanford Encyclopedia.
Mathematical Structures Group - Research topics include mathematical models and theories in the empirical sciences, models and theories in mathematics, category theory, and the use of mathematical structures in theoretical computer science. Bibliographic data.
Nineteenth Century Geometry - Philosophical-historical survey of the development of geometry in the 19th century. From the Stanford Encyclopedia, by Roberto Toretti.
On Gödel's Philosophy of Mathematics - A paper by Harold Ravitch, Los Angeles Valley College.
Paul Ernest's Page - Based at School of Education, University of Exeter, United Kingdom, includes the text of back issues of the Philosophy of Mathematics Education Journal, and other papers on the philosophy of mathematics and related subjects.
Philosophy of Mathematics Class Notes - Notes to a class by Carl Posy at Duke University, Fall 1992.
PHILTAR - Philosophy of Mathematics - Links to pages on individual philosophers.
Social Constructivism as a Philosophy of Mathematics - Article by Paul Ernest.
Structuralism, Category Theory and Philosophy of Mathematics - By Richard Stefanik (Washington: MSG Press,1994).
The Logical and Metaphysical Foundations of Classical Mathematics - Arché Research Project at the University of St Andrews. Description of the project, sponsors, researchers and publications.
Meta Description: [ Arché: Philosophical Research Centre for Logic, Language, Metaphysics and Epistemology ]
The Philosophical Implications of Mathematics - This weblog examines what we can learn about our humanness from the act of doing mathematics.
The Philosophy of Mathematics - Notes by R.B. Jones of foundations, problems, logicism and philosophers of mathematics.
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