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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


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


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


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


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


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


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


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


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


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


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


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


Science, History, and Transcendental Subjectivity in Husserl's Crisis

Michael Friedman

in Science and the Life-World: Essays on Husserl's Crisis of European Sciences

Published in print:
2009
Published Online:
June 2013
ISBN:
9780804756044
eISBN:
9780804772945
Item type:
chapter
Publisher:
Stanford University Press
DOI:
10.11126/stanford/9780804756044.003.0006
Subject:
Philosophy, Philosophy of Science

This chapter examines the long-standing connection between Galilean mathematical science and the phenomenological philosophy that begins with Husserl's 1910 “Philosophy as Rigorous Science” and ... More


The Physical World: An Inspirational Tour of Fundamental Physics

Nicholas Manton and Nicholas Mee

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198795933
eISBN:
9780191837111
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795933.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

The book is an inspirational survey of fundamental physics, emphasizing the use of variational principles. Chapter 1 presents introductory ideas, including the principle of least action, vectors and ... More


| 1827–8 | 1827–8 Family Life and Conferences Abroad

Dan C. Christensen

in Hans Christian Ørsted: Reading Nature's Mind

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199669264
eISBN:
9780191748745
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199669264.003.0044
Subject:
Physics, History of Physics

H.C. Ørsted counsels his sister-in-law on marriage. The social life around the Ørsted family's dinner table is narrated. Hans Christian Andersen, Ørsted's protégé, becomes a friend of the family. ... More


Wave Mechanics & Elements of Mathematical Physics

Peter Mann

in Lagrangian and Hamiltonian Dynamics

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198822370
eISBN:
9780191861253
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822370.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents an in-depth look at classical wave mechanics and mathematical physics, containing key examples directly relevant to molecular physics. The separation of variables is used to ... More


Context, History, and Interpretation: The Religious Dimension in Descartes’ Metaphysics

John Cottingham

in Descartes and Cartesianism: Essays in Honour of Desmond Clarke

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198779643
eISBN:
9780191824692
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198779643.003.0003
Subject:
Philosophy, History of Philosophy

Descartes’ philosophical outlook was shaped not just by the aspirations of the new mathematical physics that he helped create, but also by the contemplative tradition of Plato and Augustine that ... More


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