100 Years of Mathematics: a Personal Viewpoint (1981)
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“Only by a study of the development of mathematics can its contemporary significance be understood.”
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.”
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.
100 Years of Mathematics: a Personal Viewpoint (1981)
“For the great majority of mathematicians, mathematics is”
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.”
100 Years of Mathematics: a Personal Viewpoint (1981)
“During this century mathematics has been transformed…”
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
“The 'language theory' is inadequate as a description of the nature of mathematics.”
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
“The history of mathematics throws little light on the psychology of mathematical invention.”
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
“The function of logic in mathematics is critical rather than constructive.”
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
100 Years of Mathematics: a Personal Viewpoint (1981)
