On Formally Undecidable Propositions Of Principia Mathematica And Related Systems Tr
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On Formally Undecidable Propositions Of Principia Mathematica And Related Systems Tr
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Author : Kurt Godel
language : en
Publisher:
Release Date :
On Formally Undecidable Propositions Of Principia Mathematica And Related Systems Tr written by Kurt Godel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Arithmetic categories.
Alfred Tarski And The Vienna Circle
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Author : Jan Wolenski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Alfred Tarski And The Vienna Circle written by Jan Wolenski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
The larger part of Yearbook 6 of the Institute Vienna Circle constitutes the proceedings of a symposium on Alfred Tarski and his influence on and interchanges with the Vienna Circle, especially those on and with Rudolf Carnap and Kurt Gödel. It is the first time that this topic has been treated on such a scale and in such depth. Attention is mainly paid to the origins, development and subsequent role of Tarski's definition of truth. Some contributions are primarily historical, others analyze logical aspects of the concept of truth. Contributors include Anita and Saul Feferman, Jan Wolenski, Jan Tarski and Hans Sluga. Several Polish logicians contributed: Gzegorczyk, Wójcicki, Murawski and Rojszczak. The volume presents entirely new biographical material on Tarski, both from his Polish period and on his influential career in the United States: at Harvard, in Princeton, at Hunter, and at the University of California at Berkeley. The high point of the analysis involves Tarski's influence on Carnap's evolution from a narrow syntactical view of language, to the ontologically more sophisticated but more controversial semantical view. Another highlight involves the interchange between Tarski and Gödel on the connection between truth and proof and on the nature of metalanguages. The concluding part of Yearbook 6 includes documentation, book reviews and a summary of current activities of the Institute Vienna Circle. Jan Tarski introduces letters written by his father to Gödel; Paolo Parrini reports on the Vienna Circle's influence in Italy; several reviews cover recent books on logical empiricism, on Gödel, on cosmology, on holistic approaches in Germany, and on Mauthner.
The Ascent From Nominalism
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Author : Terry Penner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Ascent From Nominalism written by Terry Penner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
divisibility in Physics VI. I had been assuming at that time that Aristotle's elimination of reference to the infinitely large in his account of the potential inf inite--like the elimination of the infinitely small from nineteenth century accounts of limits and continuity--gave us everything that was important in a theory of the infinite. Hilbert's paper showed me that this was not obviously so. Suddenly other certainties about Aristotle's (apparently) judicious toning down of (supposed) Platonic extremisms began to crumble. The upshot of work I had been doing earlier on Plato's 'Third Man Argument' began to look different from the way it had before. I was confronted with a possibility I had not till then so much as entertained. What if the more extreme posi tions of Plato on these issues were the more likely to be correct? The present work is the first instalment of the result ing reassessment of Plato's metaphysics, and especially of his theory of Forms. It has occupied much of my teaching and scholarly time over the past fifteen years and more. The central question wi th which I concern myself is, "How does Plato argue for the existence of his Forms (if he does )7" The idea of making this the central question is that if we know how he argues for the existence of Forms, we may get a better sense of what they are.
Inquiries And Provocations
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Author : Herbert Feigl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Inquiries And Provocations written by Herbert Feigl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The title is his own. Herbert Feigl, the provocateur and the soul (if we may put it so) of modesty, wrote to me some years ago, "I'm more of a catalyst than producer of new and original ideas all my life . . . ", but then he com pleted the self-appraisal: " . . . with just a few exceptions perhaps". We need not argue for the creative nature of catalysis, but will simply remark that there are 'new and original ideas' in the twenty-four papers selected for this volume, in the extraordinary aperrus of the 25-year-old Feigl in his Vienna dissertation of 1927 on Zufall und Gesetz, in the creative critique and articulation in his classical monograph of 1958 on The 'Mental' and the 'Physical'; and the reader will want to turn to some of the seventy other titles in our Feigl bibliography appended. Professor Feigl has been a model philosophical worker: above all else, honest, self-aware, open-minded and open-hearted; keenly, devotedly, and even arduously the student of the sciences, he has been a logician and an empiricist. Early on, he brought the Vienna Circle to America, and much later he helped to bring it back to Central Europe. The story of the logical empiricist movement, and of Herbert Feigl's part in it, has often been told, importantly by Feigl himself in four papers we have included here.
There S Something About G Del
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Author : Francesco Berto
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-13
There S Something About G Del written by Francesco Berto and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-13 with Philosophy categories.
Berto's highly readable and lucid guide introduces students and the interested reader to Gödel's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from Gödel's arguments. Offers a clear understanding of this difficult subject by presenting each of the key steps of the Theorem in separate chapters Discusses interpretations of the Theorem made by celebrated contemporary thinkers Sheds light on the wider extra-mathematical and philosophical implications of Gödel's theories Written in an accessible, non-technical style
Theological Science
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Author : Thomas F. Torrance
language : en
Publisher: A&C Black
Release Date : 1996-01-01
Theological Science written by Thomas F. Torrance and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Religion categories.
The classic study, which establishes a sound theological base for the future of philosophical science.
The Nature Of Infinitesimals
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Author : Peter F. Erickson
language : en
Publisher: Xlibris Corporation
Release Date : 2006-05-05
The Nature Of Infinitesimals written by Peter F. Erickson and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-05 with Mathematics categories.
Erickson explores and explains the infinite and the infinitesimal with application to absolute space, time and motion, as well as absolute zero temperature in this thoughtful treatise. Mathematicians, scientists and philosophers have explored the realms of the continuous and discrete for centuries. Erickson delves into the history of these concepts and how people learn and understand them. He regards the infinitesimal as the key to understanding much of the scientific basis of the universe, and intertwines mathematical examples and historical context from Aristotle, Kant, Euler, Newton and more with his deductions-resulting in a readable treatment of complex topics. The reader will gain an understanding of potential versus actual infinity, irrational and imaginary numbers, the infinitesimal, and the tangent, among other concepts. At the heart of Ericksons work is the veritable number system, in which positive and negative numbers are incompatible for the basic mathematical operations of addition, subtraction, multiplication, division, roots and ratios. This number system, he demonstrates, can provide a new interpretation of imaginary numbers, as a combination of the real and the veritable. Erickson further explores limits, derivatives and integrals before turning his attention to non-Euclidean geometry. In each topic, he applies his new understanding of the infinitesimal to the ideas of mathematics and draws conclusions. In the case of non-Euclidean geometry, the author determines that its inconsistent with the infinitesimal. Erickson supplies illustrative examples both in words and images-he clearly defines new notation as needed for concepts such as eternity, the infinitesimal, the instant and an unlimited quantity. In the final chapters, the author addresses absolute space, time and motion through the lens of the infinitesimal. While explaining his deductions and thoughts on these complex topics, he raises new questions for his readers to contemplate, such as the origin of memory. A weighty tome for devotees of mathematics and physics that raises interesting questions.
Deducibility And Decidability
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Author : R. R. Rockingham Gill
language : en
Publisher: Routledge
Release Date : 2002-09-11
Deducibility And Decidability written by R. R. Rockingham Gill and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Philosophy categories.
This book presents the results of these thinkers in a newly unified manner and displays their significance for the philosophy of mathematics.
On Formally Undecidable Propositions Of Principia Mathematica And Related Systems
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Author : Kurt Gödel
language : en
Publisher: Courier Corporation
Release Date : 1992-01-01
On Formally Undecidable Propositions Of Principia Mathematica And Related Systems written by Kurt Gödel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.
In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics. The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument. This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.
On Communicating
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Author : Klaus Krippendorff
language : en
Publisher: Routledge
Release Date : 2010-07-01
On Communicating written by Klaus Krippendorff and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-01 with Language Arts & Disciplines categories.
Klaus Krippendorff is an influential figure in communication studies widely known for his award-winning book Content Analysis. Over the years, Krippendorff has made important contributions to the ongoing debates on fundamental issues concerning communication theory, epistemology, methods of research, critical scholarship, second-order cybernetics, the social construction of reality through language, design, and meaning. On Communicating assembles Krippendorff’s most significant writings – many of which are virtually unavailable today, appearing in less accessible publications, conference proceedings, out-of-print book chapters, and articles in journals outside the communication field. In their totality, they provide a goldmine for communication students and scholars. Edited and with an introduction by Fernando Bermejo, this book provides readers with access to Krippendorff’s key works.