The Logical Structure of Mathematical Physics

J. D. Sneed

ISBN 10: 9027710597 / ISBN 13: 9789027710598

Editore: Springer Netherlands, Springer Netherlands, 1979

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Druck auf Anfrage Neuware - Printed after ordering - This book is about scientific theories of a particular kind - theories of mathematical physics. Examples of such theories are classical and relativis tic particle mechanics, classical electrodynamics, classical thermodynamics, statistical mechanics, hydrodynamics, and quantum mechanics. Roughly, these are theories in which a certain mathematical structure is employed to make statements about some fragment of the world. Most of the book is simply an elaboration of this rough characterization of theories of mathematical physics. It is argued that each theory of mathematical physics has associated with it a certain characteristic mathematical struc ture. This structure may be used in a variety of ways to make empirical claims about putative applications of the theory. Typically - though not necessarily - the way this structure is used in making such claims requires that certain elements in the structure play essentially different roles. Some playa 'theoretical' role; others playa 'non-theoretical' role. For example, in classical particle mechanics, mass and force playa theoretical role while position plays a non-theoretical role. Some attention is given to showing how this distinction can be drawn and describing precisely the way in which the theoretical and non-theoretical elements function in the claims of the theory. An attempt is made to say, rather precisely, what a theory of mathematical physics is and how you tell one such theory from anothe- what the identity conditions for these theories are.

Codice articolo 9789027710598

Dati bibliografici

• Titolo: The Logical Structure of Mathematical Physics
• Editore: Springer Netherlands, Springer Netherlands
• Data di pubblicazione: 1979
• Lingua: Inglese
• ISBN 10: 9027710597
• ISBN 13: 9789027710598
• Rilegatura: Taschenbuch
• Edizione: seconda edizione
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 20 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 20 millimetri di profondità
• Peso: 534 grammi

Descrizione articolo

Riassunto

This book is about scientific theories of a particular kind - theories of mathematical physics. Examples of such theories are classical and relativis­ tic particle mechanics, classical electrodynamics, classical thermodynamics, statistical mechanics, hydrodynamics, and quantum mechanics. Roughly, these are theories in which a certain mathematical structure is employed to make statements about some fragment of the world. Most of the book is simply an elaboration of this rough characterization of theories of mathematical physics. It is argued that each theory of mathematical physics has associated with it a certain characteristic mathematical struc­ ture. This structure may be used in a variety of ways to make empirical claims about putative applications of the theory. Typically - though not necessarily - the way this structure is used in making such claims requires that certain elements in the structure play essentially different roles. Some playa "theoretical" role; others playa "non-theoretical" role. For example, in classical particle mechanics, mass and force playa theoretical role while position plays a non-theoretical role. Some attention is given to showing how this distinction can be drawn and describing precisely the way in which the theoretical and non-theoretical elements function in the claims of the theory. An attempt is made to say, rather precisely, what a theory of mathematical physics is and how you tell one such theory from anothe- what the identity conditions for these theories are.

Contenuti

I. Logical Structure and Axiomatization.- II. The Traditional View.- III. The Ramsey View.- IV. The Ramsey View Emended.- V. Theoretical Functions with Special Forms.- VI. Classical Particle Mechanics.- VII. Identity, Equivalence and Reduction.- VIII. The Dynamics of Theories.- Updated Bibliography.