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An expert, more generally, is a person with extensive knowledge or ability based on research, experience, or occupation and in a particular area of study. Experts are called in for advice on their respective subject, but they do not always agree on the particulars of a field of study.
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 ...
The discipline of applied mathematics concerns itself with mathematical methods that are typically used in science, engineering, business, and industry; thus, "applied mathematics" is a mathematical science with specialized knowledge.
Polymaths include the great scholars and thinkers of the Renaissance and Enlightenment, who excelled at several fields in science, technology, engineering, mathematics, and the arts. In the Italian Renaissance , the idea of the polymath was allegedly expressed by Leon Battista Alberti (1404–1472), a polymath himself, in the statement that "a ...
Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
This article needs attention from an expert in mathematics. The specific problem is: Replace the current - essentially wrong - definition by an appropriate one, based on a mathematical textbook, rather than (at best) a materials science book. WikiProject Mathematics may be able to help recruit an expert. (June 2021)
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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.