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A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers , data , quantity , structure , space , models , and change .
Mathematical Platonism is the metaphysical view that (a) there are abstract mathematical objects whose existence is independent of us, and (b) there are true mathematical sentences that provide true descriptions of such objects. The independence of the mathematical objects is such that they are non physical and do not exist in space or time.
Given this change in the intellectual climate, it has since then been more common to find "passive polymaths", who consume knowledge in various domains but make their reputation in one single discipline, than "proper polymaths", who—through a feat of "intellectual heroism"—manage to make serious contributions to several disciplines.
Mathematics is a field of study that discovers and organizes ... Economists note that real people have limited information, make poor choices and care about fairness ...
Human computers were used to compile 18th and 19th century Western European mathematical tables, for example those for trigonometry and logarithms.Although these tables were most often known by the names of the principal mathematician involved in the project, such tables were often in fact the work of an army of unknown and unsung computers.
Mathematical logic is the study of formal ... stated that in order for a mathematical statement to be true to a mathematician, that person must be able to intuit ...
Statistics, for example, is mathematical in its methods but grew out of bureaucratic and scientific observations, [1] which merged with inverse probability and then grew through applications in some areas of physics, biometrics, and the social sciences to become its own separate, though closely allied, field.
Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics. Mathematicians may express this pleasure by describing mathematics (or, at least, some aspect of mathematics) as beautiful or describe mathematics as an art form, (a position taken by G. H. Hardy [ 1 ] ) or, at a ...