Science

:For the scientific journal named Science, see Science Magazine.

Mathematics and the scientific method

Mathematics is essential to many sciences. The most important function of mathematics in science is the role it plays in the expression of scientific models. Observing and collecting measurements, as well as hypothesizing and predicting, often require mathematical models and extensive use of mathematics. Mathematical branches most often used in science include calculus and statistics, although virtually every branch of mathematics has applications, even "pure" areas such as number theory and topology. Mathematics is most prevalent in physics, but less so in chemistry, biology, and some social sciences.

Related Topics:
Mathematics - Calculus - Statistics - Number theory - Topology - Physics

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Some thinkers see mathematicians as scientists, regarding physical experiments as inessential or mathematical proofs as equivalent to experiments. Others do not see mathematics as a science, since it does not require experimental test of its theories and hypotheses. In either case, the fact that mathematics is such a useful tool in describing the universe is a central issue in the philosophy of mathematics.

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See: Eugene Wigner, The Unreasonable Effectiveness of Mathematics in the Natural Sciences.

Related Topics:
Eugene Wigner - The Unreasonable Effectiveness of Mathematics in the Natural Sciences

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Richard Feynman said "Mathematics is not real, but it feels real. Where is this place?", while

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Bertrand Russell's favourite definition of mathematics was "the subject in which we never know what we are talking about nor whether what we are saying is right."

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