Time and Space in Formal Logic

2022-09-13 Philosophy

Author : Richard L. Epstein
Release : 2022-09-13
Genre : Philosophy
Kind : eBook
Book Rating : 698/5 ( reviews)

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Book Synopsis Time and Space in Formal Logic by : Richard L. Epstein

Download or read book Time and Space in Formal Logic written by Richard L. Epstein. This book was released on 2022-09-13. Available in PDF, EPUB and Kindle. Book excerpt: Time and Space in Formal Logic begins with an analysis of assumptions about how logic and language relate. Then in the first section, times are taken to be established by true propositions, and those are related as before and after with temporal propositional connectives. In the second section, times are treated as things that can be picked out and counted, leading to a predicate logic that allows for quantification over times. In the third section, locations in space are also treated as things that can be picked out and counted, leading to a predicate logic that allows for quantification over both times and locations. Many applications of the formal systems to formalizing ordinary language propositions and inferences clarify better the assumptions we make in reasoning taking account of time and space by making those precise in the formal systems. Appendices on events, branching times, intentions, and descriptive names add to the scope of the work.

The Philosophy of Space and Time

2012-03-13 Science

Author : Hans Reichenbach
Release : 2012-03-13
Genre : Science
Kind : eBook
Book Rating : 038/5 ( reviews)

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Book Synopsis The Philosophy of Space and Time by : Hans Reichenbach

Download or read book The Philosophy of Space and Time written by Hans Reichenbach. This book was released on 2012-03-13. Available in PDF, EPUB and Kindle. Book excerpt: A clear, penetrating exposition of developments in physical science and mathematics brought about by non-Euclidean geometries, including in-depth coverage of the foundations of geometry, theory of time, other topics.

Philosophy of Physics

2015-05-26 Philosophy

Author : Tim Maudlin
Release : 2015-05-26
Genre : Philosophy
Kind : eBook
Book Rating : 718/5 ( reviews)

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Book Synopsis Philosophy of Physics by : Tim Maudlin

Download or read book Philosophy of Physics written by Tim Maudlin. This book was released on 2015-05-26. Available in PDF, EPUB and Kindle. Book excerpt: Philosophical foundations of the physics of space-time This concise book introduces nonphysicists to the core philosophical issues surrounding the nature and structure of space and time, and is also an ideal resource for physicists interested in the conceptual foundations of space-time theory. Tim Maudlin's broad historical overview examines Aristotelian and Newtonian accounts of space and time, and traces how Galileo's conceptions of relativity and space-time led to Einstein's special and general theories of relativity. Maudlin explains special relativity with enough detail to solve concrete physical problems while presenting general relativity in more qualitative terms. Additional topics include the Twins Paradox, the physical aspects of the Lorentz-FitzGerald contraction, the constancy of the speed of light, time travel, the direction of time, and more. Introduces nonphysicists to the philosophical foundations of space-time theory Provides a broad historical overview, from Aristotle to Einstein Explains special relativity geometrically, emphasizing the intrinsic structure of space-time Covers the Twins Paradox, Galilean relativity, time travel, and more Requires only basic algebra and no formal knowledge of physics

Space, Time and Einstein

2014-12-18 History

Author : J.B. Kennedy
Release : 2014-12-18
Genre : History
Kind : eBook
Book Rating : 446/5 ( reviews)

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Book Synopsis Space, Time and Einstein by : J.B. Kennedy

Download or read book Space, Time and Einstein written by J.B. Kennedy. This book was released on 2014-12-18. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to one of the liveliest and most popular fields in philosophy is written specifically for a beginning readership with no background in philosophy or science. Step-by-step analyses of the key arguments are provided and the philosophical heart of the issues is revealed without recourse to jargon, maths, or logical formulas. The book introduces Einstein's revolutionary ideas in a clear and simple way, along with the concepts and arguments of philosophers, both ancient and modern that have proved of lasting value. Specifically, the theories of the ancient Greek philosophers, Zeno, Euclid and Parmenides are considered alongside the ideas of Newton, Leibniz and Kant as well as the giants of twentieth-century physics, Einstein and Lorentz. The problems at the heart of the philosophy of space and time, such as change, motion, infinity, shape, and inflation, are examined and the seismic impact made by relativity theory and quantum theory is assessed in the light of the latest research. The writing is lucid and entertaining, allowing a beginning readership to grasp some difficult concepts while offering the more experienced reader a succinct and illuminating presentation of the state of the debate. "Space, Time and Einstein" shows the reader the excitement of scientific discovery and the beauty of theory in the search for answers to these fundamental questions.

A Treatise on Time and Space

2018-10-10 Philosophy

Author : J. R. Lucas
Release : 2018-10-10
Genre : Philosophy
Kind : eBook
Book Rating : 173/5 ( reviews)

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Book Synopsis A Treatise on Time and Space by : J. R. Lucas

Download or read book A Treatise on Time and Space written by J. R. Lucas. This book was released on 2018-10-10. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1976. This comprehensive study discusses in detail the philosophical, mathematical, physical, logical and theological aspects of our understanding of time and space. The text examines first the many different definitions of time that have been offered, beginning with some of the puzzles arising from our awareness of the passage of time and shows how time can be understood as the concomitant of consciousness. In considering time as the dimension of change, the author obtains a transcendental derivation of the concept of space, and shows why there has to be only one dimension of time and three of space, and why Kant was not altogether misguided in believing the space of our ordinary experience to be Euclidean. The concept of space-time is then discussed, including Lorentz transformations, and in an examination of the applications of tense logic the author discusses the traditional difficulties encountered in arguments for fatalism. In the final sections he discusses eternity and the beginning and end of the universe. The book includes sections on the continuity of space and time, on the directedness of time, on the differences between classical mechanics and the Special and General theories of relativity, on the measurement of time, on the apparent slowing down of moving clocks, and on time and probability.

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