Explorations

Future Paths of Phenomenology

1st OPHEN Summer Meeting

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175666

Mathematics

trends

Mark KacGian-Carlo RotaJacob T. Schwartz

pp. 77-103

Abstract

Unlike disciplines with empirical backgrounds, mathematics lacks central problems that are clearly defined and universally agreed upon. As a result, the development of mathematics proceeds along a number of seemingly unrelated fronts, which tends to present a picture of fragmentation and division. Adding to the difficulty of evaluating its present state and of (guardedly!) predicting its future, is the fact that during the past few decades mathematics became increasingly isolated from its sister disciplines, and as a result of turning inward there was a marked increase in the level of abstraction and a reinforcement of the ever-present trend to greater and greater generality.

Publication details

Published in:

Kac Mark, Rota Gian-Carlo (1986) Discrete thoughts: Essays on mathematics, science, and philosophy. Dordrecht, Springer.

Pages: 77-103

DOI: 10.1007/978-1-4899-6667-4_8

Full citation:

Kac Mark, Rota Gian-Carlo, Schwartz Jacob T (1986) Mathematics: trends, In: Discrete thoughts, Dordrecht, Springer, 77–103.