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Topic: Mathematics as a language

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	Mathematics as a language - Wikipedia, the free encyclopedia
		The grammar that determines whether a mathematical argument is or is not valid is mathematical logic.
		Mathematics is widely used in modern physics and engineering, and has been hugely successful in helping us to understand more about the universe around us from its largest scales (physical cosmology) to its smallest (quantum mechanics).
		Mathematics would not qualify as a language under these definitions, as it is primarily a written form of communication (to see why, try reading Maxwell's equations out loud).
	en.wikipedia.org /wiki/Mathematics_as_a_language (1003 words)

	Math as a Language
		Mathematics as a formal discipline of study was developed about 5,000 years ago.
		Once the language is well understood, as are the "definitions" of the concepts and principles, the symbolic translation to equations (numerals and operational symbols) are relatively easy.
		The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve.
	www.uoregon.edu /~moursund/Math/language.htm (1552 words)

	[No title]
		Mathematics as Language It is common to talk of "the language of mathematics".
		Mathematics may indeed reflect the operations of the brain, but both brain and mind are far richer in their nature than is suggested by any structure of algorithms and logical operations.
		Mathematics is effective when it becomes a hymn to this underlying order of consciousness and the universe, and when it expresses something of the truth inherent in nature.
	www.fdavidpeat.com /bibliography/essays/text/maths.txt (6983 words)

	The Language of Mathematics (Site not responding. Last check: 2007-10-12)
		Their problems of form are in the first instance mathematical problems, their problems of growth are essentially physical problems, and the morphologist is, ipso facto, a student of physical science.
		It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word.
		By necessity, the scientist must carefully confine himself to observable phenomena amenable to mathematical calculations, and in loyalty to his subject he consciously shuts his eyes to phenomena that are not mathematically manageable - the phenomena of life, mind, consciousness - which must remain the eternal residue of science.
	www.chemistrycoach.com /language.htm (1581 words)

	Mathematics as a language
		It became clear to me that his notation afforded an instrument of logical analysis such as I had been seeking for years, and that by studying him I was acquiring a new and powerful technique for the work that I had long wanted to do.
		To help you appreciate the expressive power of the modern mathematical language, and as a tribute to those who achieved so much without it, I collected a few samples of (original but translated) formulation of theorems and their equivalents in modern math language.
		Many students are inclined to hold this against mathematics.
	www.cut-the-knot.org /language/index.shtml (865 words)

	Mathematics as a Language
		In many ways the language of mathematics is an elitist language, and as an elitist language it can do more to hamper communications than to enable communications.
		The structure of a language is limited by the medium of the language.
		In mathematics, however, people learned to use a combination of symbolic means for representing numbers, and graphical representation for expressing geometrical ideas.
	descmath.com /desc/language.html (1916 words)

	Writing and Reckoning: Language of Mathematics (Site not responding. Last check: 2007-10-12)
		By bringing out mathematics as a special type of language and the proof of the theorem as a composition of language, the film made mathematics and Fermat's last theorem accessible to non-mathematicians.
		To understand mathematics, one has to visualize mathematics in his/her head, and to be able to do so takes a significant source of creativity.
		A language is a characteristic of a certain community.
	www.mtholyoke.edu /courses/rschwart/mac/writing/language.shtml (448 words)

	Uncle Jazzbeau’s Gallimaufrey: mathematics as a language
		"Mathematics is a language." At this moment in time, the cited page contains three quotations on why mathematics should be regarded as a language.
		My knee-jerk reaction, and it's just that I'm afraid, is that mathematics is not a language in say the way that English is a language.
		No, the mapping between language and mathematics is more complicated than that which can be expressed by the copula.
	www.bisso.com /ujg_archives/000158.html (349 words)

	language of mathematics
		Mathematical language skills include the abilities to read with comprehension, to express mathematical thoughts clearly, to reason logically, and to recognize and employ common patterns of mathematical thought.
		I agree with your articles; Mathematics is a language on its own and it is essential that students understand the true meaning of the subject.
		Their "Mathematical Contexts and the Perception of Meaning in Algebraic Symbols" was published in 2002 in The Future of the Teaching and Learning of Algebra, Volume 2, and other articles of Dr. Esty, to numerous to mention, have appeared in other publications.
	augustusmath.hypermart.net (1208 words)

	Math in Daily Life -- The Universal Language
		athematics is the only language shared by all human beings regardless of culture, religion, or gender.
		With this universal language, all of us, no matter what our unit of exchange, are likely to arrive at math results the same way.
		This math literacy is called numeracy, and it is this shared language of numbers that connects us with people across continents and through time.
	www.learner.org /exhibits/dailymath/language.html (279 words)

	Mathematics as a Second Language (Site not responding. Last check: 2007-10-12)
		The Mathematics as a Second Language Glossary features terms defined in both English and Spanish with accompanying examples and/or drawings.
		The mathematical terms defined range from those introduced in elementary school to secondary mathematics curriculum.
		Mathematics as a Second Language is available in both spiral bound print or CD-ROM formats.
	www.comap.com /mathglossary/mathglossary.php (160 words)

	W3C Math Home
		The group is chartered through 29 February 2008 to produce a new MathML 3.0 Recommendation, to improve and expand MathML in the areas of internationalization, accessibility, and mathematical richness.
		The Math IG published a note called “Arabic mathematical notation,” which analyzes the use of MathML in documents written in the Arabic script.
		On 18 September, the Mathematical User-Interfaces Workshop, organised by Paul Libbrecht from the IG, took place in Bialowieza, Poland.
	www.w3.org /Math (814 words)

	mathematics, as a universal language
		It has often been pointed out that despite the great differences between cultures and natural languages on Earth, mathematics is the same the world over.
		In fact, scientists are inclined to believe that mathematics and the mathematical rules which underpin nature are universal, so that all intelligent races in space have at least this much in common.
		Since the fundamental properties of numbers are the same everywhere, these can be used as the basis of interstellar messages.
	www.daviddarling.info /encyclopedia/M/math.html (196 words)

	Fordham Math Department (Site not responding. Last check: 2007-10-12)
		If you are a prospective student curious about a career in Mathematics, please visit our "Careers" page!
		her father had declared, and not just any scientist, either, oh, no, only the real ones, the theoreticians, whose language is mathematics.
		She had not understood mathematics until he had explained to her that it was the symbolic language of relationships.
	www.fordham.edu /mathematics (168 words)

	MOL Homepage (Site not responding. Last check: 2007-10-12)
		MOL - The Association for Mathematics of Language
		The Association for Mathematics of Language (MOL) is a special interest group of the Association for Computational Linguistics (ACL).
		Formal Grammar/Mathematics of Language Conference (FGMOL) - Helsinki, Finland - August 2001
	www.cis.upenn.edu /~ircs/mol/mol.html (109 words)

	Mathematics as a Second Language Glossary (Print)
		An Application of Mathematical Groups to Structures of Human Groups
		The Mathematics as a Second Language Glossary features mathematical terms defined in both English and Spanish with accompanying examples and/or drawings.
		The terms used range from those appearing in the elementary school mathematics curriculum to the secondary school mathematics curriculum.
	www.comap.com /product/?idx=701 (75 words)

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