## Zeno's Arrow Paradox

*Nick Huggett*

### in Everywhere and Everywhen: Adventures in Physics and Philosophy

- Published in print:
- 2010
- Published Online:
- May 2010
- ISBN:
- 9780195379518
- eISBN:
- 9780199776559
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195379518.003.0003
- Subject:
- Philosophy, Philosophy of Science

This pair of chapters discuss Zeno's paradoxes and some of their modern descendants: the ‘dichotomy’, the ‘arrow’, and the ‘supertasks’ of Thompson's lamp and Bernadete. These paradoxes arise from ... More

## Structure of Crystal, Bucket of Dust

*Peter Galison*

### in Circles Disturbed: The Interplay of Mathematics and Narrative

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691149042
- eISBN:
- 9781400842681
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691149042.003.0002
- Subject:
- Mathematics, History of Mathematics

This chapter advances the idea that every mathematical argument tells a story by focusing on the biographies of two pioneers: American physicist John Archibald Wheeler and the Bourbaki collective of ... More

## Writing a Pedagogical History of Mathematical Physics

### in Masters of Theory: Cambridge and the Rise of Mathematical Physics

- Published in print:
- 2003
- Published Online:
- March 2013
- ISBN:
- 9780226873749
- eISBN:
- 9780226873763
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226873763.003.0001
- Subject:
- History, History of Science, Technology, and Medicine

Cambridge University for many years during the Victorian era was one of Europe's foremost training grounds in mathematical physics. From the cosmic sciences of celestial mechanics, thermodynamics, ... More

## Zeno's Paradoxes

*Nick Huggett*

### in Everywhere and Everywhen: Adventures in Physics and Philosophy

- Published in print:
- 2010
- Published Online:
- May 2010
- ISBN:
- 9780195379518
- eISBN:
- 9780199776559
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195379518.003.0002
- Subject:
- Philosophy, Philosophy of Science

This pair of chapters discuss Zeno's paradoxes and some of their modern descendants: the ‘dichotomy’, the ‘arrow’, and the ‘supertasks’ of Thompson's lamp and Bernadete. These paradoxes arise from ... More

## Analysis and Stochastics of Growth Processes and Interface Models

*Peter Mörters, Roger Moser, Mathew Penrose, Hartmut Schwetlick, and Johannes Zimmer (eds)*

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199239252
- eISBN:
- 9780191716911
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199239252.001.0001
- Subject:
- Mathematics, Probability / Statistics, Analysis

There has been a significant increase recently in activities on the interface between applied analysis and probability theory. With the potential of a combined approach to the study of various ... More

## Masters of Theory: Cambridge and the Rise of Mathematical Physics

*Andrew Warwick*

- Published in print:
- 2003
- Published Online:
- March 2013
- ISBN:
- 9780226873749
- eISBN:
- 9780226873763
- Item type:
- book

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226873763.001.0001
- Subject:
- History, History of Science, Technology, and Medicine

When Isaac Newton published the Principia three centuries ago, only a few scholars were capable of understanding his conceptually demanding work. Yet this esoteric knowledge quickly became accessible ... More

## The Philosophy of Mathematical Practice

*Paolo Mancosu (ed.)*

- Published in print:
- 2008
- Published Online:
- February 2010
- ISBN:
- 9780199296453
- eISBN:
- 9780191711961
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199296453.001.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

Contemporary philosophy of mathematics offers us an embarrassment of riches. But anyone familiar with this area will be aware of the need for new approaches that will pay closer attention to ... More

## A Revolutionary Science

### in When Physics Became King

- Published in print:
- 2005
- Published Online:
- March 2013
- ISBN:
- 9780226542010
- eISBN:
- 9780226542003
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226542003.003.0002
- Subject:
- History, History of Science, Technology, and Medicine

This chapter discusses the rise of mathematical physics in revolutionary France at the beginning of the century and the emergence there of new analytical styles of reasoning about nature. Radical ... More

## Fitting Facts to Equations

*Nancy Cartwright*

### in How the Laws of Physics Lie

- Published in print:
- 1983
- Published Online:
- November 2003
- ISBN:
- 9780198247043
- eISBN:
- 9780191597152
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198247044.003.0008
- Subject:
- Philosophy, Philosophy of Science

Are things in the real world governed by the mathematical equations of fundamental theories in physics? If we take seriously the practice of fitting facts into equations, the answer should be no. To ... More

## Two Traditions: Mathematical Physics and Technical Mechanics

*David Bloor*

### in The Enigma of the Aerofoil: Rival Theories in Aerodynamics, 1909-1930

- Published in print:
- 2011
- Published Online:
- September 2013
- ISBN:
- 9780226060941
- eISBN:
- 9780226060934
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226060934.003.0006
- Subject:
- History, History of Science, Technology, and Medicine

This chapter presents the reasons advanced against the circulation theory of lift proposed by non-engineers who worked in the British, and particularly the Cambridge, tradition of mathematical ... More

## Poincaré’s Mathematical Creations in Search of the ‘True Relations of Things’

*Connemara Doran*

### in Ether and Modernity: The recalcitrance of an epistemic object in the early twentieth century

- Published in print:
- 2018
- Published Online:
- October 2018
- ISBN:
- 9780198797258
- eISBN:
- 9780191838750
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198797258.003.0004
- Subject:
- Physics, History of Physics

How did the vast corpus of mathematical innovation of Henri Poincaré (1854–1912) engage the rationale, and impact the fate, of the notion of the ether in physics? Poincaré sought the ‘true relations’ ... More

## The Romance of Nature

### in When Physics Became King

- Published in print:
- 2005
- Published Online:
- March 2013
- ISBN:
- 9780226542010
- eISBN:
- 9780226542003
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226542003.003.0003
- Subject:
- History, History of Science, Technology, and Medicine

This chapter looks at various efforts during the century to explore the unity of nature, starting with the Romantic movement at the beginning of the century and culminating in the development of ... More

## The Mathematical Principles of Natural Philosophy

*Richard Oosterhoff*

### in Making Mathematical Culture: University and Print in the Circle of Lefèvre d'Étaples

- Published in print:
- 2018
- Published Online:
- September 2018
- ISBN:
- 9780198823520
- eISBN:
- 9780191862151
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198823520.003.0006
- Subject:
- History, History of Science, Technology, and Medicine, European Early Modern History

As one of the great Renaissance champions of Aristotle, Lefèvre might be expected to be wary of mathematics in natural philosophy. As humanists, Lefèvre and his circle might be expected to avoid ... More

## Before Voltaire: The French Origins of "Newtonian" Mechanics, 1680-1715

*J.B. Shank*

- Published in print:
- 2018
- Published Online:
- May 2019
- ISBN:
- 9780226509297
- eISBN:
- 9780226509327
- Item type:
- book

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226509327.001.0001
- Subject:
- History, History of Science, Technology, and Medicine

A pervasive understanding holds that the foundation of calculus-based mathematical physics was laid by Issac Newton in his epochal treatise Philosophiae naturalis principia mathematica of 1687. In ... More

## Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)

*Vadim Kaloshin and Ke Zhang*

- Published in print:
- 2020
- Published Online:
- May 2021
- ISBN:
- 9780691202525
- eISBN:
- 9780691204932
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691202525.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Arnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was ... More

## Geometry and Physics: Volume II: A Festschrift in honour of Nigel Hitchin

*Andrew Dancer, Jørgen Ellegaard Andersen, and Oscar García-Prada (eds)*

- Published in print:
- 2018
- Published Online:
- December 2018
- ISBN:
- 9780198802020
- eISBN:
- 9780191869068
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198802020.001.0001
- Subject:
- Mathematics, Geometry / Topology

These volumes contain the proceedings of the conference held at Aarhus, Oxford and Madrid in September 2016 to mark the seventieth birthday of Nigel Hitchin, one of the world’s foremost geometers and ... More

## Exact solutions and related topics

*Hidetoshi Nishimori and Gerardo Ortiz*

### in Elements of Phase Transitions and Critical Phenomena

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199577224
- eISBN:
- 9780191722943
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199577224.003.0009
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Only a limited number of models of phase transitions and critical phenomena can be solved exactly. These examples nevertheless play important roles in many aspects including the verification of the ... More

## Riemann Surfaces

*Simon Donaldson*

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780198526391
- eISBN:
- 9780191774874
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526391.001.0001
- Subject:
- Mathematics, Geometry / Topology, Analysis

The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an ... More

## Introduction

*Jill North*

### in Physics, Structure, and Reality

- Published in print:
- 2021
- Published Online:
- June 2021
- ISBN:
- 9780192894106
- eISBN:
- 9780191915239
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780192894106.003.0001
- Subject:
- Philosophy, Philosophy of Science, Metaphysics/Epistemology

This chapter provides an overview of the book: its aims, scope, and key themes. The chief project is to unearth how we figure out what our mathematically formulated, best physical theories tell us ... More

## Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin

*Andrew Dancer, Jørgen Ellegaard Andersen, and Oscar García-Prada (eds)*

- Published in print:
- 2018
- Published Online:
- December 2018
- ISBN:
- 9780198802013
- eISBN:
- 9780191840500
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198802013.001.0001
- Subject:
- Mathematics, Geometry / Topology

These volumes contain the proceedings of the conference held at Aarhus, Oxford and Madrid in September 2016 to mark the seventieth birthday of Nigel Hitchin, one of the world’s foremost geometers and ... More