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Applied mathematicians are mathematical scientists who, with their specialized knowledge and professional methodology, approach many of the imposing problems presented in related scientific fields. With professional focus on a wide variety of problems, theoretical systems, and localized constructs, applied mathematicians work regularly in the ...
Reality: The question is whether mathematics is a pure product of human mind or whether it has some reality by itself. Logic and rigor; Relationship with physical reality; Relationship with science; Relationship with applications; Mathematical truth; Nature as human activity (science, art, game, or all together)
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.
Mathematics makes up that part of the human conceptual system that is special in the following way: It is precise, consistent, stable across time and human communities, symbolizable, calculable, generalizable, universally available, consistent within each of its subject matters, and effective as a general tool for description, explanation, and prediction in a vast number of everyday activities ...
Mathematics addresses only a part of human experience. Much of human experience does not fall under science or mathematics but under the philosophy of value, including ethics, aesthetics, and political philosophy. To assert that the world can be explained via mathematics amounts to an act of faith. 4.
Alfred North Whitehead OM FRS FBA (15 February 1861 – 30 December 1947) was an English mathematician and philosopher.He created the philosophical school known as process philosophy, [2] which has been applied in a wide variety of disciplines, including ecology, theology, education, physics, biology, economics, and psychology.
Computational mathematics is the study of mathematical problems that are typically too large for human, numerical capacity. [ 63 ] [ 64 ] Numerical analysis studies methods for problems in analysis using functional analysis and approximation theory ; numerical analysis broadly includes the study of approximation and discretization with special ...
Ethics in mathematics is an emerging field of applied ethics, the inquiry into ethical aspects of the practice and applications of mathematics.It deals with the professional responsibilities of mathematicians whose work influences decisions with major consequences, such as in law, finance, the military, and environmental science. [1]