Reflections On Kurt G Del
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Reflections On Kurt G Del
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Author : Hao Wang
language : en
Publisher:
Release Date : 1988
Reflections On Kurt G Del written by Hao Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Reflections On Kurt Gd El
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Author : Hao Wang
language : en
Publisher:
Release Date : 1987
Reflections On Kurt Gd El written by Hao Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Kurt G Del Collected Works Volume Iii
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Author : Kurt Gödel
language : en
Publisher: Oxford University Press, USA
Release Date : 1986
Kurt G Del Collected Works Volume Iii written by Kurt Gödel and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
"Anyone interested in the life and work of Kurt Gödel, or in the history of mathematical logic in this century, is indebted to all of the contributors to this volume for the care with which they have presented Gödel's work. They have succeeded in using their own expertise to elucidate both the nature and significance of what Gödel and, in turn, mathematical logic have accomplished." --Isis (on volume I). The third volume brings togetherGödels unpublished essays and lectures.
Kurt G Del And The Foundations Of Mathematics
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Author : Matthias Baaz
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-06
Kurt G Del And The Foundations Of Mathematics written by Matthias Baaz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-06 with Mathematics categories.
This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.
A Logical Journey
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Author : Hao Wang
language : en
Publisher: Bradford Books
Release Date : 1996
A Logical Journey written by Hao Wang and has been published by Bradford Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
"Experts in mathematical logic will find this book of engrossing interest. For mere philosphers it will have a different fascination: in seeing how the achievements of a genius can seem to him to provide a firm foundation for a species of Platonism and the conviction of the superiority of minds over computers, and at the same time can encourage him to favour a quasi-Leibnizian speculative metaphysics and theology. Hao Wang records and assesses the whole with an expert and balanced reasonableness." -- Sir Peter F. Strawson, Magdalen College, Oxford Hao Wang (1921-1995) was one of the few confidants of the great mathematician and logician Kurt Gö del. "A Logical Journey" is a continuation of Wang's "Reflections on Gö del" and also elaborates on discussions contained in "From Mathematics to Philosophy." A decade in preparation, it contains important and unfamiliar insights into Gö del's views on a wide range of issues, from Platonism and the nature of logic, to minds and machines, the existence of God, and positivism and phenomenology. The impact of Gö del's theorem on twentieth-century thought is on par with that of Einstein's theory of relativity, Heisenberg's uncertainty principle, or Keynesian economics. These previously unpublished intimate and informal conversations, however, bring to light and amplify Gö del's other major contributions to logic and philosophy. They reveal that there is much more in Gö del's philosophy of mathematics than is commonly believed, and more in his philosophy than his philosophy of mathematics. Wang writes that "it is even possible that his quite informal and loosely structuredconversations with me, which I am freely using in this book, will turn out to be the fullest existing expression of the diverse components of his inadequately articulated general philosophy." The first two chapters are devoted to Gö del's life and mental development. In the chapters that follow, Wang illustrates the quest for overarching solutions and grand unifications of knowledge and action in Gö del's written speculations on God and an afterlife. He gives the background and a chronological summary of the conversations, considers Gö del's comments on philosophies and philosophers (his support of Husserl's phenomenology and his digressions on Kant and Wittgenstein), and his attempt to demonstrate the superiority of the mind's power over brains and machines. Three chapters are tied together by what Wang perceives to be Gö del's governing ideal of philosophy: an exact theory in which mathematics and Newtonian physics serve as a model for philosophy or metaphysics. Finally, in an epilog Wang sketches his own approach to philosophy in contrast to his interpretation of Gö del's outlook.
A Logical Journey
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Author : Hao Wang
language : en
Publisher: MIT Press
Release Date : 1997-02-03
A Logical Journey written by Hao Wang and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-03 with Philosophy categories.
Hao Wang (1921-1995) was one of the few confidants of the great mathematician and logician Kurt Gödel. A Logical Journey is a continuation of Wang's Reflections on Gödel and also elaborates on discussions contained in From Mathematics to Philosophy. A decade in preparation, it contains important and unfamiliar insights into Gödel's views on a wide range of issues, from Platonism and the nature of logic, to minds and machines, the existence of God, and positivism and phenomenology. The impact of Gödel's theorem on twentieth-century thought is on par with that of Einstein's theory of relativity, Heisenberg's uncertainty principle, or Keynesian economics. These previously unpublished intimate and informal conversations, however, bring to light and amplify Gödel's other major contributions to logic and philosophy. They reveal that there is much more in Gödel's philosophy of mathematics than is commonly believed, and more in his philosophy than his philosophy of mathematics. Wang writes that "it is even possible that his quite informal and loosely structured conversations with me, which I am freely using in this book, will turn out to be the fullest existing expression of the diverse components of his inadequately articulated general philosophy." The first two chapters are devoted to Gödel's life and mental development. In the chapters that follow, Wang illustrates the quest for overarching solutions and grand unifications of knowledge and action in Gödel's written speculations on God and an afterlife. He gives the background and a chronological summary of the conversations, considers Gödel's comments on philosophies and philosophers (his support of Husserl's phenomenology and his digressions on Kant and Wittgenstein), and his attempt to demonstrate the superiority of the mind's power over brains and machines. Three chapters are tied together by what Wang perceives to be Gödel's governing ideal of philosophy: an exact theory in which mathematics and Newtonian physics serve as a model for philosophy or metaphysics. Finally, in an epilog Wang sketches his own approach to philosophy in contrast to his interpretation of Gödel's outlook.
Time Management Maxims I And Ii
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Author : Kurt Gödel
language : en
Publisher: de Gruyter
Release Date : 2020
Time Management Maxims I And Ii written by Kurt Gödel and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Philosophy categories.
Kurt Gödel's philosophical notes have been preserved in the form of 15 notebooks. This Volume 2 consists of Gödel's individual ethics, which he develops as an applied ethics aimed at self-perfection. The editor introduces relevant reflections
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
From Dedekind To G Del
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Author : Jaakko Hintikka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
From Dedekind To G Del written by Jaakko Hintikka 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 Philosophy categories.
Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either. Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.
Vision Reflection And Desire In Western Painting
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Author : David Summers
language : en
Publisher: UNC Press Books
Release Date : 2015-12-01
Vision Reflection And Desire In Western Painting written by David Summers and has been published by UNC Press Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-01 with Art categories.
Spanning more than 2,500 years in the history of art, Vision, Reflection, and Desire in Western Painting demonstrates how the rise and diffusion of the science of optics in ancient Greece and the Mediterranean world correlated to pictorial illusion in the development of Western painting from Hellenistic Greece to the present. Using examples from the late Middle Ages and the Renaissance, David Summers argues that scene-painting (architectural backdrops) and shadow-painting (in which forms are modeled or shown as if in relation to a source of light) not only evolved in close association with geometric optics toward the end of the fifth century B.C.E., but also contributed substantially to the foundations of the new science. The spread of understanding of how light is transmitted, reflected, and refracted is evident in the works of artists such as Brunelleschi, van Eyck, Alberti, and Leonardo. The interplay between optics and painting that influenced the course of Western art, Summers says, persisted as a framework for the realism of Caravaggio, Rembrandt, and Goya and continues today in modern photography and film.
