The Logic of Thermostatistical PhysicsSpringer Science & Business Media, 2013. gada 17. apr. - 703 lappuses This book addresses several of the foundational problems in thermophysics, i. e. thermodynamics and statistical mechanics. It is an interdisciplinary work in that it examines the philosophical underpinning of scientific models and theories; it also refines the analysis of the problems at hand and delineates the place occupied by various scientific models in a generalized philosophical landscape. Hence, our philosophical - or theoretical - inquiry focuses sharply on the concept of models; and our empirical - or laboratory - evidence is sought in the model-building activities of scientists who have tried to confront the epistemological problems arising in the thermophysical sciences. Primarily for researchers and students in physics, philosophy of science, and mathematics, our book aims at informing the readers - with all the in dispensable technical details made readily available - about the nature of the foundational problems, how these problems are approached with the help of various mathematical models, and what the philosophical implications of such models and approaches involve. Some familiarity with elementary ther mophysics and/or with introductory-level philosophy of science may help, but neither is a prerequisite. The logical and mathematical background re quired for the book are introduced in the Appendices. Upon using the Subject Index, the readers may easily locate the concepts and theorems needed for understanding various parts of the book. The Citation Index lists the authors of the contributions we discuss in detail. |
Saturs
1 | 39 |
1 | 80 |
Syntax and Models | 153 |
Competing Semantics | 199 |
Settingup the Ergodic Problem 237 | 236 |
Models and Ergodic Hierarchy | 261 |
Ergodicity vs Integrability | 295 |
The Gibbs Canonical Ensembles | 331 |
Approach to Equilibrium in Quantum Mechanics | 477 |
The Philosophical Horizon | 519 |
Models in Mathematical Logic | 539 |
The Calculus of Differentials 553 | 552 |
Recursive Functions | 575 |
Topological Essences | 585 |
Models vs Models | 607 |
References | 617 |
van der Waals to Lenz | 373 |
Scaling and Renormalization 431 | 392 |
Ising and Related Models | 393 |
Quantum Models for Phase Transitions | 451 |
Citation Index 677 | 676 |
693 | |
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algebra approximation assertions axioms behavior Boltzmann Borel canonical Chap classical Clausius computation consider constant countable critical critical exponents defined definition denote density derivation differential discussion distribution dynamical system Emch energy entropy equation equilibrium equivalent ergodic theory evolution exists experimental finite formalism formula Hamiltonian heat Hence Hilbert Hilbert space idealization integral interaction interpretation Ising model Kolmogorov large numbers lattice law of large Lebesgue Lebesgue measure magnetic Math mathematical Maxwell measure metric microscopic namely Neumann Note notion observables obtained particles particular partition function phase transitions phenomena Phys physical Poincaré probability problem properties quantum random recursive functions reduced relation result satisfies Scholium Sect semantic view sequence space specific statistical mechanics structure subsets superconductivity syntactic temperature theorem thermodynamical limit tion topological topological space variables vector von Neumann algebra