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Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. (English) Zbl 0803.01014

15 Mathematiker legen ihre Ansicht zu den Ausführungen von A. Jaffe und F. Quinn im Bull. Am. Math. Soc. 29, No. 1, 1-13 (1993; Zbl 0780.00001) dar. Sie äußern sich etwa zu den Fragen: Wozu ist Intuition in der Mathematik erfolgreich? Helfen versuchte Ansätze weiter? Wie zwingend sind Beweise? Hierzu werden Beispiele aus der Geschichte der Mathematik von Euler über Poincaré, Paul Lévy und Appel-Haken bis in die allerneueste Zeit aufgeführt. Die Ausführungen bezeugen das große Spektrum von Ansichten über die mathematische Forschung und bereichern durch etwa weniger bekannte Bemerkungen. Ferner wird der Zusammenhang von Mathematik und Physik erörtert.

MSC:

01A65 Development of contemporary mathematics
01A99 History of mathematics and mathematicians
00A30 Philosophy of mathematics
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