# Responses to `Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics', by A. Jaffe and F. Quinn

@article{Atiyah1994ResponsesT, title={Responses to `Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics', by A. Jaffe and F. Quinn}, author={Michael Francis Atiyah and Armand Borel and Gregory J. Chaitin and Daniel Friedan and James Glimm and Jeremy Gray and Morris W. Hirsch and Saunders Maclane and Benoit B. Mandelbrot and David Ruelle and Albert S. Schwarz and Karen K. Uhlenbeck and Ren{\'e} Thom and Edward Witten and Christopher Zeeman}, journal={Bulletin of the American Mathematical Society}, year={1994}, volume={30}, pages={178-207} }

This article is a collection of letters solicited by the editors of the Bulletin in response to a previous article by Jaffe and Quinn [math.HO/9307227]. The authors discuss the role of rigor in mathematics and the relation between mathematics and theoretical physics.

## 70 Citations

A Defence of Mathematical Pluralism

- Philosophy
- 2005

We approach the philosophy of mathematics via an analysis of mathematics as it is practised. This leads us to a classification in terms of four concepts, which we define and illustrate with a variety…

What Lakatos Could Teach the Mathematical Physicist

- Computer Science
- 2002

This contribution portrays the various stances taken in the Jaffe-Quinn debate from the perspective of Imre Lakatos philosophy of mathematics that seems most suitable for a debate concerning mathematical growth.

Physical Mathematics and the Future

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- 2014

These are some thoughts meant to accompany one of the summary talks at Strings2014, Princeton, June 27, 2014. This is a snapshot of a personal and perhaps heterodox view of the relation of Physics…

The effectiveness of mathematics in physics

- Mathematics, Physics
- 2015

In this thesis I argue that many problems in the philosophy of science and mathematics (in particular, the unreasonable effectiveness of mathematics in physics) can only be addressed within a broader…

On the Tension Between Physics and Mathematics

- Mathematics, Physics
- 2020

Because of the complex interdependence of physics and mathematics their relation is not free of tensions. The paper looks at how the tension has been perceived and articulated by some physicists,…

The Effect of Computers on Pure Mathematics

- Computer Science
- 2009

The philosophical implications of the computers in mathematics are investigated by recounting the controversy following the proof of the Four-Colour Theorem, then the famous Jaffe-Quinn discussions, and the discipline called experimental mathematics is examined.

“The End of Proof”? The Integration of Different Mathematical Cultures as Experimental Mathematics Comes of Age

- Mathematics
- 2016

In this paper, the recent emergence of a professed “experimental” culture in mathematics during the past three decades is analysed based on an adaptation of Hans-Jorg Rheinberger’s notion of…

Mathematical Explanation: Problems and Prospects

- Philosophy
- 2001

Since this issue is devoted to the interaction between philosophy of mathematics and mathematical practice, I would like to begin with an introductory reflection on this topic, before I enter the…

The Applicability of Mathematics

- 2017

Since its publication in 1960, Wigner’s paper ‘The Unreasonable Effectiveness of Mathematics in the Natural Sciences’ has attracted comment from scientists, applied mathematicians and philosophers…

What's experimental about experimental mathematics?

- Computer Science
- 2008

The role of the computer in the mathematical experiment is outlined and the impact of high speed computing on mathematical research within the emerging sub-discipline of experimental mathematics is described.

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