Logic for Physicists

Logic for Physicists
Author: Nicolas A Pereyra
Publisher: Morgan & Claypool Publishers
Total Pages: 57
Release: 2018-06-12
Genre: Science
ISBN: 1643270168

This book gives a rigorous yet 'physics-focused' introduction to mathematical logic that is geared towards natural science majors. We present the science major with a robust introduction to logic, focusing on the specific knowledge and skills that will unavoidably be needed in calculus topics and natural science topics in general (rather than taking a philosophical math fundamental oriented approach that is commonly found in mathematical logic textbooks).

Furry Logic

Furry Logic
Author: Matin Durrani
Publisher: Bloomsbury Publishing
Total Pages: 305
Release: 2018-01-30
Genre: Nature
ISBN: 1472914112

The animal world is full of mysteries. Why do dogs slurp from their drinking bowls while cats lap up water with a delicate flick of the tongue? How does a tiny turtle hatchling from Florida circle the entire North Atlantic before returning to the very beach where it was hatched? And how can a Komodo dragon kill a water buffalo with a bite that is only as strong as a domestic cat's? These puzzles--and many more besides--are all explained by physics. From heat and light to electricity and magnetism, Furry Logic unveils the ways that animals exploit physics to eat, drink, mate and dodge death in their daily battle for survival. Science journalists Matin Durrani and Liz Kalaugher also introduce the great physicists whose discoveries helped us understand the animal world, as well as the experts of today who are scouring the planet to find and study the animals that seem to push the laws of physics to the limit. Presenting mind-bending physical principles in a simple and engaging way, this book is for anyone curious to see how physics crops up in the natural world. It's more of a 'howdunit' than a whodunit, though you're unlikely to guess some of the answers. -- Inside jacket flap.

Image and Logic

Image and Logic
Author: Peter Galison
Publisher: University of Chicago Press
Total Pages: 1002
Release: 1997-10
Genre: History
ISBN: 9780226279176

Engages with the impact of modern technology on experimental physicists. This study reveals how the increasing scale and complexity of apparatus has distanced physicists from the very science which drew them into experimenting, and has fragmented microphysics into different technical traditions.

The Logical Structure of Mathematical Physics

The Logical Structure of Mathematical Physics
Author: Joseph D. Sneed
Publisher: Springer Science & Business Media
Total Pages: 325
Release: 2012-12-06
Genre: Science
ISBN: 9401030669

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.

The Logic of Thermostatistical Physics

The Logic of Thermostatistical Physics
Author: Gerard G. Emch
Publisher: Springer Science & Business Media
Total Pages: 707
Release: 2013-04-17
Genre: Science
ISBN: 3662048868

This book is devoted to a thorough analysis of the role that models play in the practise of physical theory. The authors, a mathematical physicist and a philosopher of science, appeal to the logicians’ notion of model theory as well as to the concepts of physicists.

Logical Physics

Logical Physics
Author: Aleksandr Zinoviev
Publisher: Springer
Total Pages: 312
Release: 1983-09-30
Genre: Philosophy
ISBN:

In this stimulating study of the logical character of selected fundamental topics of physics, Zinov'ev has written the first, and major, stage of a general semantics of science. In that sense he has shown, by rigorous examples, that in certain basic and surprising respects we may envision a reducibility of science to logic; and further that we may detect and eliminate frequent confusion of abstract and empirical objects. In place of a near chaos of unplanned theoretical languages, we may look toward a unified and epistemologically clarified general scientific language. In the course of this work, Zinov'ev treats issues of continuing urgency: the non-trivial import of Zeno's paradoxes; the residually significant meaning of 'cause' in scientific explanation; the need for lucidity in the conceptions of 'wave' and 'particle', and his own account of these; the logic of fields and of field propagation; Kant's antimonies today; and, in a startling aper~u, an insightful note on 'measuring' consciousness. Logical physics, an odd-appearing field of investigation, is a part of logic; and as logic, logical physics deals with the linguistic expressions of time, space, particle, wave, field, causality, etc. How far this may be taken without explicit use of, or reference to, empirical statements is still to be clarified, but Zinov'ev takes a sympathetic reader well beyond a realist's expectation, beyond the classical conventionalist. Zinov'ev presents his investigations in four chapters and an appendix of technical elucidation.

An Introduction to Hilbert Space and Quantum Logic

An Introduction to Hilbert Space and Quantum Logic
Author: David W. Cohen
Publisher: Springer Science & Business Media
Total Pages: 159
Release: 2012-12-06
Genre: Science
ISBN: 1461388414

Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.