What is good mathematics?

Terence Tao

Type: Article

Publication Date: 2007-05-02

Citations: 67

DOI: https://doi.org/10.1090/s0273-0979-07-01168-8

Abstract

Some personal thoughts and opinions on what “good quality mathematics” is and whether one should try to define this term rigorously. As a case study, the story of Szemerédi’s theorem is presented.

Locations

Bulletin of the American Mathematical Society - View - PDF
Bulletin of the American Mathematical Society - View - PDF

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Works Cited by This (40)

Action	Title	Year	Authors
+ PDF	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi
+	The dichotomy between structure and randomness, arithmetic progressions, and the primes	2005	Terence Tao
+ PDF	Arithmetic progressions of length three in subsets of a random set	1996	Yoshiharu Kohayakawa Tomasz Łuczak Vojtěch Rödl
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg
+	Small Gaps Between Primes I	2005	D. A. Goldston C. Y. Yıldırım
+	The Unreasonable Effectiveness of Mathematics in the Natural Sciences	1990	E. P. Wigner
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg
+	Regularity Lemma for k‐uniform hypergraphs	2004	Vojtěch Rödl Jozef Skokan
+	Applications of the regularity lemma for uniform hypergraphs	2006	Vojtěch Rödl Jozef Skokan
+	On Triples in Arithmetic Progression	1999	Jean Bourgain