A Logical Journey
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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 These previously unpublished intimate and informal conversations, however, bring to light and amplify Gödel's other major contributions to logic and philosophy.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.
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.
Reflections On Kurt G Del
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Author : Hao Wang
language : en
Publisher: MIT Press
Release Date : 1990-03-14
Reflections On Kurt G Del 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 1990-03-14 with Philosophy categories.
Newton/Descartes. Einstein/Gödel. The seventeenth century had its scientific and philosophical geniuses. Why shouldn't ours have them as well? Kurt Gödel was indisputably one of the greatest thinkers of our time, and in this first extended treatment of his life and work, Hao Wang, who was in close contact with Gödel in his last years, brings out the full subtlety of Gödel's ideas and their connection with grand themes in the history of mathematics and philosophy. The subjects he covers include the completeness of elementary logic, the limits of formalization, the problem of evidence, the concept of set, the philosophy of mathematics, time, and relativity theory, metaphysics and religion, as well as general ideas on philosophy as a worldview. Wang, whose reflections on his colleague also serve to clarify his own philosophical thoughts, distinguishes his ideas from those of Gödel's and on points of agreement develops Gödel's views further. The book provides a generous array of information on and interpretation of the two main phases of Gödel's career - the years between 1924 and 1939 at the University of Vienna, which were marked by intense mathematical creativity, and the period from 1940 to his death in 1978, during which he was affiliated with the Institute for Advanced Studies in Princeton, a time in which Gödel's interests steadily shifted from questions of logic to metaphysics. And it also examines Gödel's relations with the Vienna Circle, his philosophical differences with Carnap and Wittgenstein, the intimate and mutually fruitful friendship with Einstein, and the periodic bouts of depression for which Gödel was hospitalized a number of times over the course of his life. A Bradford Book.
From Mathematics To Philosophy Routledge Revivals
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Author : Hao Wang
language : en
Publisher: Routledge
Release Date : 2016-06-10
From Mathematics To Philosophy Routledge Revivals written by Hao Wang and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-10 with Philosophy categories.
First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.
Journey To The Edge Of Reason
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Author : Stephen Budiansky
language : en
Publisher: Oxford University Press
Release Date : 2021
Journey To The Edge Of Reason written by Stephen Budiansky and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Biography & Autobiography categories.
A remarkable account of the brilliant, troubled mathematician and philosopher Kurt Gödel. From his famous Incompleteness Theorem, which shook the foundations of mathematical truth, to his perilous escape from Nazi Vienna, this book weaves together his creative genius, mental illness, and idealism in the face of adversity.
Contingent Computation
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Author : M. Beatrice Fazi
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2018-11-15
Contingent Computation written by M. Beatrice Fazi and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-15 with Computers categories.
Contingent Computation offers a new theoretical perspective through which we can engage philosophically with computing. The book proves that aesthetics is a viable mode of investigating contemporary computational systems.
The Learner S Journey
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Author : Bastian Küntzel
language : en
Publisher: BoD – Books on Demand
Release Date : 2019-05-17
The Learner S Journey written by Bastian Küntzel and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-17 with Education categories.
By thinking of learning events as a story and the learners as the protagonists who are embarking on a transformative journey, Bastian Küntzel has designed a simple and innovative way for facilitators, trainers, teachers and other educators to design powerful learning experiences for their participants. The Learner's Journey is a practical guide for anyone who accepts the responsibility of accompanying learners on a journey of discovery, growth and development.
How To Pass The Apmp Your Journey To Professional Project Management
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Author :
language : en
Publisher: Paul Naybour
Release Date :
How To Pass The Apmp Your Journey To Professional Project Management written by and has been published by Paul Naybour this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Classic Logic Rules
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Author : Sophia Curie
language : en
Publisher: Publifye AS
Release Date : 2025-01-18
Classic Logic Rules written by Sophia Curie and has been published by Publifye AS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-18 with Philosophy categories.
""Classic Logic Rules"" presents a comprehensive exploration of how ancient logical reasoning principles continue to shape modern academic thought and research methodology. The book expertly bridges the gap between classical Aristotelian logic and contemporary applications, demonstrating how traditional frameworks remain foundational to critical thinking across disciplines, from legal analysis to scientific inquiry. The work progresses through three interconnected sections, beginning with an in-depth examination of fundamental logical principles and syllogistic reasoning. It then delves into medieval scholastic developments, where concepts like modal logic expanded the original framework. The final section demonstrates practical applications in modern research contexts, including academic writing and research design. Drawing from extensive analysis of original Greek and Latin texts, alongside contemporary research, the book reveals how classical logical methods have maintained their validity while adapting to modern challenges. What sets this work apart is its unique combination of historical analysis and practical application, making complex logical concepts accessible through carefully constructed examples and clear explanations. The book demonstrates how classical reasoning methods inform modern developments, including artificial intelligence algorithms and decision-making frameworks, while providing concrete tools for implementing these time-tested approaches in contemporary academic research. This makes it particularly valuable for graduate students, researchers, and academics seeking to enhance their analytical capabilities and research methodologies.
Geographic Information Science
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Author : Max J. Egenhofer
language : en
Publisher: Springer
Release Date : 2003-06-30
Geographic Information Science written by Max J. Egenhofer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Science categories.
This book constitutes the refereed proceedings of the Second International Conference on Geographic Information Science, GIScience 2002, held in Boulder, Colorado, USA in September 2002.The 24 revised full papers presented were carefully reviewed and selected from 64 paper submissions. Among the topics addressed are Voronoi diagram representation, geospacial database design, vector data transmission, geographic information retrieval, geo-ontologies, relative motion analysis, Web-based maps information retrieval, spatial pattern recognition, environmental decision support systems, multi-scale spatial databases, mobile journey planning, searching geographical data, indexing, terrain modeling, spatial allocation, distributed geographic internet information systems, and spatio-thematic information programming.