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There is no general consensus about the definition of mathematics or its epistemological status—that is, its place inside knowledge. A great many professional mathematicians take no interest in a definition of mathematics, or consider it undefinable. There is not even consensus on whether mathematics is an art or a science.
The language of mathematics or mathematical language is an extension of the natural language (for example English) that is used in mathematics and in science for expressing results (scientific laws, theorems, proofs, logical deductions, etc.) with concision, precision and unambiguity.
(PDF) "A Mathematical Theory of Communication" by C. E. Shannon (reprint with corrections) hosted by the Harvard Mathematics Department, at Harvard University. Original publications: The Bell System Technical Journal 1948-07: Vol 27 Iss 3. AT & T Bell Laboratories. 1948-07-01. pp. 379– 423., The Bell System Technical Journal 1948-10: Vol 27 ...
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past.Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales.
In applied fields the word "tight" is often used with the same meaning. [2] smooth Smoothness is a concept which mathematics has endowed with many meanings, from simple differentiability to infinite differentiability to analyticity, and still others which are more complicated. Each such usage attempts to invoke the physically intuitive notion ...
Communication is commonly defined as the transmission of information.Its precise definition is disputed and there are disagreements about whether unintentional or failed transmissions are included and whether communication not only transmits meaning but also creates it.
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Aristotle also thought that quantity alone does not distinguish mathematics from sciences like physics; in his view, abstraction and studying quantity as a property "separable in thought" from real instances set mathematics apart. [5] Auguste Comte's definition tried to explain the role of mathematics in coordinating phenomena in all other ...