Download or read book Review of Hermann Weyl s Philosophy of Math Natural Science written by H. A. Pogorzelski and published by . This book was released on 2009 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mind and Nature written by Hermann Weyl and published by University of Pennsylvania Press. This book was released on 2015-09-30 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new study of the mathematical-physical mode of cognition.
Download or read book Philosophy of Mathematics and Natural Sciences written by Hermann Weyl and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Structural Account of Mathematics written by Charles S. Chihara and published by Clarendon Press. This book was released on 2004 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems areapplied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true.Chihara builds upon his previous work, in which he presented a new system of mathematics, the constructibility theory, which did not make reference to, or presuppose, mathematical objects. Now he develops the project further by analysing mathematical systems currently used by scientists to show howsuch systems are compatible with this nominalistic outlook. He advances several new ways of undermining the heavily discussed indispensability argument for the existence of mathematical objects made famous by Willard Quine and Hilary Putnam. And Chihara presents a rationale for the nominalisticoutlook that is quite different from those generally put forward, which he maintains have led to serious misunderstandings.A Structural Account of Mathematics will be required reading for anyone working in this field.
Download or read book The Continuum written by Hermann Weyl and published by Courier Corporation. This book was released on 1994-01-01 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise classic by great mathematician and physicist deals with logic and mathematics of set and function, concept of number and the continuum. Bibliography. Originally published 1918.
Download or read book Foundations Of Quantum Mechanics The Historical Analysis And Open Questions written by Claudio Garola and published by World Scientific. This book was released on 2000-05-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a sample of the present research on the foundations of quantum mechanics and related topics by collecting the papers of the Italian scholars who attended the conference entitled “The Foundations of Quantum Mechanics — Historical Analysis and Open Questions” (Lecce, 1998). The perspective of the book is interdisciplinary, and hence philosophical, historical and technical papers are gathered together so as to allow the reader to compare different viewpoints and cultural approaches. Most of the papers confront, directly or indirectly, the objectivity problem, taking into account the positions of the founders of QM or more recent developments. More specifically, the technical papers in the book pay special attention to the interpretation of the experiments on Bell's inequalities and to decoherence theory, but topics on unsharp QM, the consistent-history approach, quantum probability and alternative theories are also discussed. Furthermore, a number of historical and philosophical papers are devoted to Planck's, Weyl's and Pauli's thought, but topics such as quantum ontology, predictivity of quantum laws, etc., are treated.
Download or read book Space Time Matter written by Hermann Weyl and published by . This book was released on 1922 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Unified Field Mechanics Natural Science Beyond The Veil Of Spacetime Proceedings Of The Ix Symposium Honoring Noted French Mathematical Physicist Jean pierre Vigier written by Richard L Amoroso and published by World Scientific. This book was released on 2015-09-08 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unified Field Mechanics, the topic of the 9th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier cannot be considered highly speculative as a myopic critic might surmise. The 8th Vigier Symposium proceedings 'The Physics of Reality' should in fact be touted as a companion volume because of its dramatic theoretical Field Mechanics in additional dimensionality. Many still consider the Planck-scale zero-point field stochastic quantum foam as the 'basement of reality'. This could only be considered true under the limitations of the Copenhagen interpretation of quantum theory. As we enter the next regime of Unified Field Mechanics we now know that the energy-dependent Einstein-Minkowski manifold called spacetime has a finite radius beyond which a large-scale multiverse beckons. So far a battery of 14 experiments has been designed to falsify the model. When the 1st is successfully performed, a revolution in Natural Science will occur! This volume strengthens and expands the theoretical and experimental basis for that immanent new age.
Download or read book Mathematics the Loss of Certainty written by Morris Kline and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catholic Modernism and the Irish avant garde written by James Matthew Wilson and published by CUA Press. This book was released on 2023 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study constitutes the first-ever definitive account of the life and work of Irish modernist poets Thomas MacGreevy, Brian Coffey, and Denis Devlin. Apprenticed to the likes of W.B. Yeats, T.S. Eliot, James Joyce, and Samuel Beckett, all three writers worked at the center of modernist letters in England, France, and the United States, but did so from a distinctive perspective. All three writers wrote with a deep commitment to the intellectual life of Catholicism and saw the new movement in the arts as making possible for the first time a rich sacramental expression of the divine beauty in aesthetic form. MacGreevy spent his life trying to voice the Augustinian vision he found in The City of God. Coffey, a student of neo-Thomist philosopher Jacques Maritain, married scholastic thought and a densely wrought poetics to give form and solution to the alienation of modern life. Devlin contemplated the world with the eyes of Montaigne and the heart of Pascal as he searched for a poetry that could realize the divine presence in the experience of the modern person. Taken together, MacGreevy, Coffey, and Devlin exemplify the modern Catholic intellectual seeking to engage the modern world on its own terms while drawing the age toward fulfillment within the mystery and splendor of the Church. They stand apart from their Irish contemporaries for their religious seriousness and cosmopolitan openness to European modernism. They lay bare the theological potencies of modern art and do so with a sophistication and insight distinctive to themselves. Although MacGreevy, Coffey, and Devlin have received considerable critical attention in the past, this is the first book to study their work comprehensively, from MacGreevy's early poems and essays on Joyce and Eliot to Coffey's essays in the neo-scholastic philosophy of science, and on to Devlin's late poetic attempts to realize Dante's divine vision in a Europe shattered by war and modern doubt.
Download or read book Quantitative Studies in Philosophy written by Nicholas Rescher and published by Cambridge Scholars Publishing. This book was released on 2021-10-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy and mathematics grew up together in the days of Pythagoras and Plato. Indeed, they have been in constant companionship and interaction ever since. This book examines 15 of these interactions, some dealing with the greats of history such as Aristotle and Leibniz, some addressing modern greats such as Einstein, Schrodinger, and Gödel, and some dealing not with themes, but rather the thinkers. Taken together they represent a characteristic sampling of the author’s philosophical investigations over more than three decades.
Download or read book The Philosophical Review written by Jacob Gould Schurman and published by . This book was released on 1955 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international journal of general philosophy.
Download or read book In the Light of Logic written by Solomon Feferman and published by Oxford University Press, USA. This book was released on 1998 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support. Beginning with a previously unpublished lecture for a general audience, Deciding the Undecidable, Feferman examines the famous list of twenty-three mathematical problems posed by David Hilbert, concentrating on three problems that have most to do with logic. Other chapters are devoted to the work and thought of Kurt Gödel, whose stunning results in the 1930s on the incompleteness of formal systems and the consistency of Cantors continuum hypothesis have been of utmost importance to all subsequent work in logic. Though Gödel has been identified as the leading defender of set-theoretical platonism, surprisingly even he at one point regarded it as unacceptable. In his concluding chapters, Feferman uses tools from the special part of logic called proof theory to explain how the vast part--if not all--of scientifically applicable mathematics can be justified on the basis of purely arithmetical principles. At least to that extent, the question raised in two of the essays of the volume, Is Cantor Necessary?, is answered with a resounding no. This volume of important and influential work by one of the leading figures in logic and the foundations of mathematics is essential reading for anyone interested in these subjects.
Download or read book The Autonomy of Mathematical Knowledge written by Curtis Franks and published by Cambridge University Press. This book was released on 2009-10-08 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study reconstructs, analyses and re-evaluates the programme of influential mathematical thinker David Hilbert, presenting it in a different light.
Download or read book Philosophical Introduction to Set Theory written by Stephen Pollard and published by Courier Dover Publications. This book was released on 2015-07-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.
Download or read book Philosophy of Mathematics written by Stewart Shapiro and published by Oxford University Press. This book was released on 1997-08-07 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an "object" and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro's work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians.
Download or read book Physics on the Fringe written by Margaret Wertheim and published by Bloomsbury Publishing USA. This book was released on 2011-11-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past fifteen years, acclaimed science writer Margaret Wertheim has been collecting the works of "outsider physicists," many without formal training and all convinced that they have found true alternative theories of the universe. Jim Carter, the Einstein of outsiders, has developed his own complete theory of matter and energy and gravity that he demonstrates with experiments in his backyard,-with garbage cans and a disco fog machine he makes smoke rings to test his ideas about atoms. Captivated by the imaginative power of his theories and his resolutely DIY attitude, Wertheim has been following Carter's progress for the past decade. Centuries ago, natural philosophers puzzled out the laws of nature using the tools of observation and experimentation. Today, theoretical physics has become mathematically inscrutable, accessible only to an elite few. In rejecting this abstraction, outsider theorists insist that nature speaks a language we can all understand. Through a profoundly human profile of Jim Carter, Wertheim's exploration of the bizarre world of fringe physics challenges our conception of what science is, how it works, and who it is for.
