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“There is the definition [of mathematics], boldly proposed by Pierce that 'Mathematics is the science which draws necessary conclusions', and more explicitly formulated by Russel that 'Pure Mathematics is the class of all propositions of the form "p implies q"… it was… the purpose of Russell's treatise to provide a complete, exact and convincing justification of this definition… instead, he and Whitehead collaborated to give a magisterial account of the Principia Mathematica.”

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George Frederick James Temple

100 Years of Mathematics: a Personal Viewpoint (1981)

“Only by a study of the development of mathematics can its contemporary significance be understood.”

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George Frederick James Temple

100 Years of Mathematics: a Personal Viewpoint (1981)
Kontext: The professional mathematician can scarcely avoid specialization and needs to transcend his private interests and take a wide synoptic view of the whole landscape of contemporary mathematics. His scientific colleagues are continually seeking enlightenment on the relevance of mathematical abstractions. The undergraduate needs a guidebook to the topography of the immense and expanding world of mathematics. There seems to be only one way to satisfy these varied interests... a concise historical account of the main currents... Only by a study of the development of mathematics can its contemporary significance be understood.

“The great advances in mathematics have not been made by logic but by creative imagination.”

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George Frederick James Temple

100 Years of Mathematics: a Personal Viewpoint (1981)
Kontext: Logical analysis is indispensable for an examination of the strength of a mathematical structure, but it is useless for its conception and design. The great advances in mathematics have not been made by logic but by creative imagination.

“Ninety per cent of all the mathematics we know has been discovered (or invented), in the last hundred years… the advances made in each of some dozen directions are converging into one single discipline uniting algebra, topology and analysis.”

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George Frederick James Temple

100 Years of Mathematics: a Personal Viewpoint (1981)

“For the great majority of mathematicians, mathematics is”

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George Frederick James Temple

100 Years of Mathematics: a Personal Viewpoint (1981)
Kontext: For the great majority of mathematicians, mathematics is... a whole world of invention and discovery—an art. The construction of a new theorem, the intuition of some new principle, or the creation of a new branch of mathematics is the triumph of the creative imagination of the mathematician, which can be compared to that of a poet, the painter and the sculptor.

“Mathematical activity has taken the forms of a science, a philosophy and an art.”

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George Frederick James Temple

100 Years of Mathematics: a Personal Viewpoint (1981)

“During this century mathematics has been transformed…”

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George Frederick James Temple

100 Years of Mathematics: a Personal Viewpoint (1981)

“From Pythagoras to Boethius, when pure mathematics consisted of arithmetic and geometry while applied mathematics consisted of music and astronomy, mathematics could be characterized as the deductive study of 'such abstractions as quantities and their consequences, namely figures and so forth' (Acquinas ca. 1260). But since the emergence of abstract algebra it has become increasingly difficult to formulate a definition to cover the whole of the rich, complex and expanding domain of mathematics.”

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George Frederick James Temple

100 Years of Mathematics: a Personal Viewpoint (1981)