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Mathematics in the Modern World - Mathematical language and symbols discussion

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Chapter 2 MATHEMATICAL LANGUAGE AND SYMBOLS THE LANGUAGE OF MATHEMATICS ENGLISH versus MATHEMATICS ENGLISH NOUN name given to object of interest) SENTENCE (must state a complete thought) PERSON TRUE (T) PLACE FALSE (F) THING SOMETIMES TRUE/ SOMETIMES FALSE (ST/SF) ENGLISH versus MATHEMATICS MATHEMATICS EXPRESSION (name given to mathematical object of interest) SENTENCE (must state a complete thought) NUMBER TRUE (T) SET FALSE (F) FUNCTION SOMETIMES TRUE/ SOMETIMES FALSE (ST/SF) MATRIX ORDERED PAIR Characteristics of Mathematical Language • Mathematical language is PRECISE which means it is able to make very fine distinctions or definitions among a set of mathematical symbols. • It is CONCISE because a mathematician can express otherwise long expositions or sentences briefly. Characteristics of Mathematical Language • Mathematical language is POWERFUL, that is, one can express complex thoughts with relative ease. • Mathematics is a SYMBOLIC language. Some Mathematical Symbols Some Mathematical Symbols Real Number System Properties of Real Numbers • Mathematics is the language of the sciences, business, economics, music, architecture, arts and even politics. • There is an intimate connection between the language of mathematics and the English language. The Brain • The language of mathematics can be considered a common language of the world. Expressions vs. Sentences • Mathematical Expression – is a finite combinatio ...
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