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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 Vicious Circle Principle 1

Peter Hylton

in Propositions, Functions, and Analysis: Selected Essays on Russell's Philosophy

Published in print:
2005
Published Online:
May 2010
ISBN:
9780199286355
eISBN:
9780191713309
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199286355.003.0006
Subject:
Philosophy, History of Philosophy, Logic/Philosophy of Mathematics

The vicious-circle principle (VCP) is, according to Russell, a central and unifying idea in the type theory that is the basis of Principia Mathematica. Russell takes the principle from the work of ... More


1921: “Critical or Empiricist Interpretation of the New Physics?”

Thomas Ryckman

in The Reign of Relativity: Philosophy in Physics 1915-1925

Published in print:
2005
Published Online:
April 2005
ISBN:
9780195177176
eISBN:
9780199835324
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195177177.003.0003
Subject:
Philosophy, Philosophy of Science

Mortiz Schlick’s article of this title was highly influential in convincing several generations of philosophers that GTR outrightly falsified any variety of Kantian epistemology. In fact, the ... More


Indifference: The Symmetries of Probability

Bas C. van Fraassen

in Laws and Symmetry

Published in print:
1989
Published Online:
November 2003
ISBN:
9780198248606
eISBN:
9780191597459
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198248601.003.0012
Subject:
Philosophy, Philosophy of Science

Basic to the idea of logical probability is the principle of indifference: equal possibilities are to be assigned equal probabilities. This principle appeared on the one hand to yield surprisingly ... More


The Truth

Tony Robbin

in Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought

Published in print:
2006
Published Online:
October 2013
ISBN:
9780300110395
eISBN:
9780300129625
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110395.003.0004
Subject:
Society and Culture, Technology and Society

This chapter discusses how four-dimensional geometry was used to solve a problem in physics, namely the problem regarding the ether (the all-pervasive medium that transmitted waves of light). It ... More


Kekulé's “Dreams”

in Image and Reality: Kekule, Kopp, and the Scientific Imagination

Published in print:
2010
Published Online:
March 2013
ISBN:
9780226723327
eISBN:
9780226723358
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226723358.003.0010
Subject:
History, History of Science, Technology, and Medicine

At a celebration held in his honor in Berlin on March 11, 1890, August Kekulé told his “dream stories.” According to Arthur Koestler, Kekulé's benzene story was “probably the most important dream in ... More


Introduction to Poincaré‎’s Science and Hypothesis

John J. McDermott (ed.)

in The Basic Writings of Josiah Royce, Volume II: Logic, Loyalty, and Community

Published in print:
2005
Published Online:
May 2019
ISBN:
9780823224845
eISBN:
9780823284894
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823224845.003.0006
Subject:
Philosophy, American Philosophy

This chapter studies Henri Poincaré's discussion of science and hypotheses. The useful hypotheses of science are of two kinds: the hypotheses which are valuable precisely because they are either ... More


Joyce and Geometry

Ciaran McMorran

Published in print:
2020
Published Online:
September 2020
ISBN:
9780813066288
eISBN:
9780813065267
Item type:
book
Publisher:
University Press of Florida
DOI:
10.5744/florida/9780813066288.001.0001
Subject:
Literature, 20th-century Literature and Modernism

Following the development of non-Euclidean geometries from the mid-nineteenth century onwards, Euclid’s system came to be re-conceived as a language for describing reality rather than a set of ... More


Physics and Geometry

Hanoch Gutfreund and Jürgen Renn

in The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691174631
eISBN:
9781400888689
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174631.003.0004
Subject:
Physics, History of Physics

This chapter concerns the ongoing debate about the meaning of Einstein's theory in the formative years, with particular attention to the relation between physics and geometry. It also compares ... More


“Writings of Paraboles”: Geometric Traditionalism and Corporeal Topography in the Wake’s “Night Lessons”

Ciaran McMorran

in Joyce and Geometry

Published in print:
2020
Published Online:
September 2020
ISBN:
9780813066288
eISBN:
9780813065267
Item type:
chapter
Publisher:
University Press of Florida
DOI:
10.5744/florida/9780813066288.003.0002
Subject:
Literature, 20th-century Literature and Modernism

This chapter explores how James Joyce interrogates the traditional procedures through which geometric symbols of "perfection and the divine”—including the concept of the infinitely straight line—are ... More


Schisms

Nasser Zakariya

in A Final Story: Science, Myth, and Beginnings

Published in print:
2017
Published Online:
May 2018
ISBN:
9780226476124
eISBN:
9780226500737
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226500737.003.0005
Subject:
History, History of Science, Technology, and Medicine

Helmholtz articulates a final story on the basis of the new thermodynamics, examined in relation to the change of organic forms, energy and entropy. He recasts this as a synthesis of thermodynamics ... More


Textual Topography: The “Wandering Rocks” Labyrinth

Ciaran McMorran

in Joyce and Geometry

Published in print:
2020
Published Online:
September 2020
ISBN:
9780813066288
eISBN:
9780813065267
Item type:
chapter
Publisher:
University Press of Florida
DOI:
10.5744/florida/9780813066288.003.0004
Subject:
Literature, 20th-century Literature and Modernism

This chapter examines how the branching narrative framework of “Wandering Rocks” reflects the structure of the manneristic maze and emulates the nonlinear visual structures which are traced by the ... More


Properties and Predicates, Objects and Names: Impredicativity and the Axiom of Choice

Stewart Shapiro

in Being Necessary: Themes of Ontology and Modality from the Work of Bob Hale

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198792161
eISBN:
9780191866876
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198792161.003.0006
Subject:
Philosophy, Moral Philosophy

Hale has articulated and defended a thesis that properties are tied to predicates in possible languages. The same goes for functions. A necessary and sufficient condition for the existence of a ... More


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