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E-grāmata: Physics and Necessity: Rationalist Pursuits from the Cartesian Past to the Quantum Present

(Research Director, Centre National de la Recherche Scientifique)
  • Formāts: 432 pages
  • Izdošanas datums: 22-May-2014
  • Izdevniecība: Oxford University Press
  • Valoda: eng
  • ISBN-13: 9780191021930
  • Formāts - PDF+DRM
  • Cena: 74,51 €*
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    • Oxford Scholarship Online e-books
  • Formāts: 432 pages
  • Izdošanas datums: 22-May-2014
  • Izdevniecība: Oxford University Press
  • Valoda: eng
  • ISBN-13: 9780191021930

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Can we prove the necessity of our best physical theories by rational means, without appeal to experience? This book recounts a few ingenious attempts to derive physical theories by reason only, beginning with Descartes' geometric construction of the world, and finishing with recent derivations of quantum mechanics from natural axioms. Deductions based on theological, metaphysical, or transcendental arguments are worth remembering for the ways they motivated and structured physical theory, even though we would now criticize their excessive confidence in the power of the mind. Other deductions more modestly relied on criteria for the comprehensibility of nature, including forms of measurability, causality, homogeneity, and correspondence. The central thesis of this book is that such criteria, when properly applied to idealized systems, effectively determine some of our most important theories as well as the mathematical character of the laws of physics. The relevant arguments are not purely rational, because only experience can tell us to which extent nature is comprehensible in a given way. Nor do they block the possibility of ever more varied forms of comprehensibility. They nonetheless suggest the inevitability of much of our theoretical physics.

Recenzijas

The idea that we can establish foundational principles of physical theories on pure reason alone did not die with Newtons rejection of Cartesian rationalism. Darrigol, the author of a number of valuable works on the history of physics, explores latter day rationalisms, focusing on those that follow Helmholtz in seeking for necessary conditions on the interpretation and application of theories. Darrigol offers his own account on how theories must be interpreted and applied and how the necessity for these may very well be taken as establishing a limited kind of rational support for some principles of foundational physics. * Lawrence Sklar, University of Michigan * In this excellently written book, Darrigol steps back to survey the history of necessity in physics, and the richness of the necessitarian programme despite that programme's (sometimes embarrassing) trail of failures. What he shows is the persistence of the belief in a rational and comprehensible universe and the importance of that belief for the development of empirical science --- whatever sober, empirical reservations come in to philosophical fashion. Reading this book may remind us all why we were interested in philosophy in the first place. * Brian Hepburn, Aarhus University *

Conventions and notations xv
1 Rationalism in the history of mechanics
1(46)
1.1 Descartes versus Newton
2(6)
1.2 Before Newton
8(14)
1.3 After Newton
22(25)
Conclusions
45(2)
2 The necessity of classical mechanics
47(30)
2.1 Connected systems
48(10)
2.2 Molecular mechanics
58(4)
2.3 Continuum mechanics
62(5)
2.4 Collisions
67(10)
Conclusions
72(5)
3 From mechanical reduction to general principles
77(31)
3.1 Varieties of mechanical reduction
79(4)
3.2 The energy principle
83(10)
3.3 The principle of least action
93(4)
3.4 Thermodynamics and statistical mechanics
97(11)
Conclusions
107(1)
4 Geometry
108(25)
4.1 From Euclid to Helmholtz
109(12)
4.2 Improved foundations
121(9)
4.3 Conventions and necessities
130(3)
Conclusions
131(2)
5 Space time
133(53)
5.1 From time to spacetime
134(12)
5.2 Rational spacetime
146(25)
5.3 The Helmholtzian approach, with morals
171(15)
Conclusions
184(2)
6 Numbers and math
186(23)
6.1 From Descartes to the nineteenth century
188(2)
6.2 A historical sketch of quantity
190(3)
6.3 Helmholtz's Counting and measuring
193(6)
6.4 Poincare on number and quantity
199(10)
Conclusions
205(4)
7 Classical field theories
209(27)
7.1 Landau, Faraday, and Maxwell
211(4)
7.2 Toward a definition of Faradayan theories
215(3)
7.3 The vector, tensor, and scalar cases
218(8)
7.4 Energy-momentum considerations
226(5)
7.5 The super-Faradayan approach
231(5)
Conclusions
234(2)
8 Quantum mechanics
236(104)
8.1 Historical necessity
238(27)
8.2 The deformation of classical mechanics
265(16)
8.3 Quantum logic
281(26)
8.4 Discreteness, probabilities, and information
307(33)
Conclusions
336(4)
9 Necessity, theories, and modules
340(27)
9.1 The preconditions of necessity
341(6)
9.2 Theories and modules
347(7)
9.3 The necessity of modularity
354(13)
Conclusion: The possibility of necessity 367(2)
Abbreviations 369(2)
Bibliography 371(20)
Index 391
Olivier Darrigol studied physics at the École Normale Supérieure in Paris, the history and philosophy of physics at the Sorbonne and at UC-Berkeley's Office for History of Science and Technology (OHST). He is the author of several books on the history of quantum physics, electrodynamics, hydrodynamics, and optics. He is currently a member of the SPHere research team at CNRS/Paris 7, and a Research Associate at UC-Berkeley's OHST.