Download or read online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get book now. This site is like a library, Use search box in the widget to get ebook that you want.

Converging Realities

Converging Realities Author Roland Omnès
ISBN-10 0691115303
Release 2005
Pages 264
Download Link Click Here

The mysterious beauty, harmony, and consistency of mathematics once caused philosopher Hilary Putnam to term its existence a "miracle." Now, advances in the understanding of physics suggest that the foundations of mathematics are encompassed by the laws of nature, an idea that sheds new light on both mathematics and physics. The philosophical relationship between mathematics and the natural sciences is the subject of Converging Realities, the latest work by one of the leading thinkers on the subject. Based on a simple but powerful idea, it shows that the axioms needed for the mathematics used in physics can also generate practically every field of contemporary pure mathematics. It also provides a foundation for current investigations in string theory and other areas of physics. This approach to the nature of mathematics is not really new, but it became overshadowed by formalism near the end of nineteenth century. The debate turned eventually into an exclusive dialogue between mathematicians and philosophers, as if physics and nature did not exist. This unsatisfactory situation was enforced by the uncertain standing of physical reality in quantum mechanics. The recent advances in the interpretation of quantum mechanics (as described in Quantum Philosophy, also by Omnès) have now reconciled the foundations of physics with objectivity and common sense. In Converging Realities, Roland Omnès is among the first scholars to consider the connection of natural laws with mathematics.



THE APPLICABILITY OF MATHEMATICS AS A PHILOSOPHICAL PROBLEM

THE APPLICABILITY OF MATHEMATICS AS A PHILOSOPHICAL PROBLEM Author Mark Steiner
ISBN-10 067404097X
Release 1998
Pages 215
Download Link Click Here

This book analyzes the different ways mathematics is applicable in the physical sciences, and presents a startling thesis--the success of mathematical physics appears to assign the human mind a special place in the cosmos. Mark Steiner distinguishes among the semantic problems that arise from the use of mathematics in logical deduction; the metaphysical problems that arise from the alleged gap between mathematical objects and the physical world; the descriptive problems that arise from the use of mathematics to describe nature; and the epistemological problems that arise from the use of mathematics to discover those very descriptions. The epistemological problems lead to the thesis about the mind. It is frequently claimed that the universe is indifferent to human goals and values, and therefore, Locke and Peirce, for example, doubted science's ability to discover the laws governing the humanly unobservable. Steiner argues that, on the contrary, these laws were discovered, using manmade mathematical analogies, resulting in an anthropocentric picture of the universe as "user friendly" to human cognition--a challenge to the entrenched dogma of naturalism.



Choice

Choice Author
ISBN-10 UCSC:32106018289600
Release 2005
Pages
Download Link Click Here

Choice has been writing in one form or another for most of life. You can find so many inspiration from Choice also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Choice book for free.



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UOM:39015067268261
Release 2006
Pages
Download Link Click Here

Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



Philosophy of Science

Philosophy of Science Author Afsar Abbas
ISBN-10 UOM:39015069126327
Release 2005-01-01
Pages 96
Download Link Click Here

Based on the lectures delivered at the Indian Institute of Advanced Study, Shimla in November 2004.



American Scientist

American Scientist Author
ISBN-10 UOM:39015064355608
Release 1942
Pages
Download Link Click Here

American Scientist has been writing in one form or another for most of life. You can find so many inspiration from American Scientist also informative, and entertaining. Click DOWNLOAD or Read Online button to get full American Scientist book for free.



The Rise of the Standard Model

The Rise of the Standard Model Author Lillian Hoddeson
ISBN-10 0521578167
Release 1997-11-13
Pages 714
Download Link Click Here

Based on a conference held at Stanford University, this book gives the most comprehensive and up-to-date account of an exciting physics revolution--the rise of the Standard Model. The third volume of a series recounting the history of particle physics, this volume focuses on the Standard Model, which explains the microstructure of the world in terms of quarks and leptons and their interactions. Major contributors include Steven Weinberg, Murray Gell-Mann, Michael Redhead, Silvan Schweber, Leon Lederman, and John Heilbron. A collaboration of physicists and historians of science, the wide-ranging articles explore the detailed scientific experiments, the institutional settings in which they took place, and the ways in which the many details of the puzzle fit together to account for the Standard Model.



Quantum Philosophy

Quantum Philosophy Author Roland Omnès
ISBN-10 0691095515
Release 2002
Pages 296
Download Link Click Here

In this magisterial work, Roland Omnès takes us from the academies of ancient Greece to the laboratories of modern science as he seeks to do no less than rebuild the foundations of the philosophy of knowledge. One of the world's leading quantum physicists, Omnès reviews the history and recent development of mathematics, logic, and the physical sciences to show that current work in quantum theory offers new answers to questions that have puzzled philosophers for centuries: Is the world ultimately intelligible? Are all events caused? Do objects have definitive locations? Omnès addresses these profound questions with vigorous arguments and clear, colorful writing, aiming not just to advance scholarship but to enlighten readers with no background in science or philosophy. The book opens with an insightful and sweeping account of the main developments in science and the philosophy of knowledge from the pre-Socratic era to the nineteenth century. Omnès then traces the emergence in modern thought of a fracture between our intuitive, commonsense views of the world and the abstract and--for most people--incomprehensible world portrayed by advanced physics, math, and logic. He argues that the fracture appeared because the insights of Einstein and Bohr, the logical advances of Frege, Russell, and Gödel, and the necessary mathematics of infinity of Cantor and Hilbert cannot be fully expressed by words or images only. Quantum mechanics played an important role in this development, as it seemed to undermine intuitive notions of intelligibility, locality, and causality. However, Omnès argues that common sense and quantum mechanics are not as incompatible as many have thought. In fact, he makes the provocative argument that the "consistent-histories" approach to quantum mechanics, developed over the past fifteen years, places common sense (slightly reappraised and circumscribed) on a firm scientific and philosophical footing for the first time. In doing so, it provides what philosophers have sought through the ages: a sure foundation for human knowledge. Quantum Philosophy is a profound work of contemporary science and philosophy and an eloquent history of the long struggle to understand the nature of the world and of knowledge itself.



Natur und mathematisches Erkennen

Natur und mathematisches Erkennen Author David Hilbert
ISBN-10 3764326689
Release 1992
Pages 101
Download Link Click Here

Natur und mathematisches Erkennen has been writing in one form or another for most of life. You can find so many inspiration from Natur und mathematisches Erkennen also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Natur und mathematisches Erkennen book for free.



American Book Publishing Record

American Book Publishing Record Author
ISBN-10 UOM:39015066043228
Release 2005
Pages
Download Link Click Here

American Book Publishing Record has been writing in one form or another for most of life. You can find so many inspiration from American Book Publishing Record also informative, and entertaining. Click DOWNLOAD or Read Online button to get full American Book Publishing Record book for free.



Understanding Quantum Mechanics

Understanding Quantum Mechanics Author Roland Omnès
ISBN-10 0691004358
Release 1999
Pages 307
Download Link Click Here

Here Roland Omn�s offers a clear, up-to-date guide to the conceptual framework of quantum mechanics. In an area that has provoked much philosophical debate, Omn�s has achieved high recognition for his Interpretation of Quantum Mechanics (Princeton 1994), a book for specialists. Now the author has transformed his own theory into a short and readable text that enables beginning students and experienced physicists, mathematicians, and philosophers to form a comprehensive picture of the field while learning about the most recent advances. This new book presents a more streamlined version of the Copenhagen interpretation, showing its logical consistency and completeness. The problem of measurement is a major area of inquiry, with the author surveying its history from Planck to Heisenberg before describing the consistent-histories interpretation. He draws upon the most recent research on the decoherence effect (related to the modern resolution of the famous Schr�dinger's cat problem) and an exact formulation of the correspondence between quantum and particle physics (implying a derivation of classical determinism from quantum probabilism). Interpretation is organized with the help of a universal and sound language using so-called consistent histories. As a language and a method, it can now be shown to be free of ambiguity and it makes interpretation much clearer and closer to common sense.



Zentralblatt f r Mathematik und Ihre Grenzgebiete

Zentralblatt f  r Mathematik und Ihre Grenzgebiete Author
ISBN-10 UOM:39015046249580
Release 1998
Pages
Download Link Click Here

Zentralblatt f r Mathematik und Ihre Grenzgebiete has been writing in one form or another for most of life. You can find so many inspiration from Zentralblatt f r Mathematik und Ihre Grenzgebiete also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Zentralblatt f r Mathematik und Ihre Grenzgebiete book for free.



Ruch filozoficzny

Ruch filozoficzny Author
ISBN-10 STANFORD:36105132131066
Release 2006
Pages
Download Link Click Here

Ruch filozoficzny has been writing in one form or another for most of life. You can find so many inspiration from Ruch filozoficzny also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Ruch filozoficzny book for free.



Mathematics Form and Function

Mathematics Form and Function Author Saunders MacLane
ISBN-10 9781461248729
Release 2012-12-06
Pages 476
Download Link Click Here

Mathematics Form and Function has been writing in one form or another for most of life. You can find so many inspiration from Mathematics Form and Function also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematics Form and Function book for free.



What is Mathematics Really

What is Mathematics  Really Author Reuben Hersh
ISBN-10 0195130871
Release 1997
Pages 343
Download Link Click Here

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.



Tool and Object

Tool and Object Author Ralph Krömer
ISBN-10 9783764375249
Release 2007-06-25
Pages 367
Download Link Click Here

Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.



Mind and Nature

Mind and Nature Author Hermann Weyl
ISBN-10 1400833329
Release 2009-03-31
Pages 272
Download Link Click Here

Hermann Weyl (1885-1955) was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophical implications of the startling new scientific developments with which he was so involved. Mind and Nature is a collection of Weyl's most important general writings on philosophy, mathematics, and physics, including pieces that have never before been published in any language or translated into English, or that have long been out of print. Complete with Peter Pesic's introduction, notes, and bibliography, these writings reveal an unjustly neglected dimension of a complex and fascinating thinker. In addition, the book includes more than twenty photographs of Weyl and his family and colleagues, many of which are previously unpublished. Included here are Weyl's exposition of his important synthesis of electromagnetism and gravitation, which Einstein at first hailed as "a first-class stroke of genius"; two little-known letters by Weyl and Einstein from 1922 that give their contrasting views on the philosophical implications of modern physics; and an essay on time that contains Weyl's argument that the past is never completed and the present is not a point. Also included are two book-length series of lectures, The Open World (1932) and Mind and Nature (1934), each a masterly exposition of Weyl's views on a range of topics from modern physics and mathematics. Finally, four retrospective essays from Weyl's last decade give his final thoughts on the interrelations among mathematics, philosophy, and physics, intertwined with reflections on the course of his rich life.