Colchester, United Kingdom

Pure Mathematics

Language: English Studies in English
Subject area: mathematics and statistics
Kind of studies: full-time studies, part-time studies
University website: www.essex.ac.uk
Doctor of Philosophy (PhD)
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. It has no generally accepted definition.
Pure Mathematics
Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. This has been a recognizable category of mathematical activity from the 19th century onwards, at variance with the trend towards meeting the needs of navigation, astronomy, physics, economics, engineering, and so on.
Mathematics
The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience.
Immanuel Kant, Critique of Pure Reason (1781) Tr. Max Müller (1881) p. 610.
Pure Mathematics
Pure Mathematics is the class of all propositions of the form “p implies q,” where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. And logical constants are all notions definable in terms of the following: Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion of propositions of the above form. In addition to these, mathematics uses a notion which is not a constituent of the propositions which it considers, namely the notion of truth.
Bertrand Russell, Principles of Mathematics (1903), Ch. I: Definition of Pure Mathematics, p. 3.
Mathematics
“It’s magic,” the chief cook concluded, in awe.
“No, not magic,” the ship’s doctor replied. “It’s much more. It’s mathematics.”
David Brin, Glory Season (1993), chapter 24
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