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 These previously unpublished intimate and informal conversations, however, bring to light and amplify Gödel's other major contributions to logic and philosophy.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.
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.
Developmental Journey
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Author : Mary M. Wilcox
language : en
Publisher:
Release Date : 1979
Developmental Journey written by Mary M. Wilcox and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Religion categories.
Logical Labyrinths
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Author : Raymond Smullyan
language : en
Publisher: CRC Press
Release Date : 2008-12-22
Logical Labyrinths written by Raymond Smullyan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-22 with Games & Activities categories.
This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author's puzzle books to his technical writing in the fascinating field of mathematical logic. Using the logic of lying and truth-telling, the au
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.
Origins And Varieties Of Logicism
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Author : Francesca Boccuni
language : en
Publisher: Taylor & Francis
Release Date : 2021-11-29
Origins And Varieties Of Logicism written by Francesca Boccuni and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-29 with Mathematics categories.
This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Hilbert, Husserl, and Peano, as well as on the reconsideration of logicism by Carnap and the logical empiricists. Finally, Part III assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics—neo-logicism and its extension to accounts of ordinal numbers and set-theory, the comparison between neo-Fregean and neo-Dedekindian varieties of logicism, and the relation between logicist foundational issues and empirical research on numerical cognition—which define the prospects of logicism in the years to come. This book offers a comprehensive account of the development of logicism and its contemporary relevance for the logico-philosophical foundations of mathematics. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy.
The Semantic Conception Of Logic
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Author : Gil Sagi
language : en
Publisher: Cambridge University Press
Release Date : 2023-10-19
The Semantic Conception Of Logic written by Gil Sagi 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 2023-10-19 with Mathematics categories.
This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.
Alfred Tarski
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Author : Anita Burdman Feferman
language : en
Publisher: Cambridge University Press
Release Date : 2004-10-04
Alfred Tarski written by Anita Burdman Feferman 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 2004-10-04 with Biography & Autobiography categories.
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Journey To The West 2018 Edition Pdf
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Author : Wu Cheng'en
language : en
Publisher: Asiapac Books Pte Ltd
Release Date : 2018-08-14
Journey To The West 2018 Edition Pdf written by Wu Cheng'en and has been published by Asiapac Books Pte Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-14 with Comics & Graphic Novels categories.
The bestselling Journey to the West comic book by artist Chang Boon Kiat is now back in a brand new fully coloured edition. Journey to the West is one of the greatest classics in Chinese literature. It tells the epic tale of the monk Xuanzang who journeys to the West in search of the Buddhist sutras with his disciples, Sun Wukong, Sandy and Pigsy. Along the way, Xuanzang's life was threatened by the diabolical White Bone Spirit, the menacing Red Child and his fearsome parents and, a host of evil spirits who sought to devour Xuanzang's flesh to attain immortality. Bear witness to the formidable Sun Wukong's (Monkey God) prowess as he takes them on, using his Fiery Eyes, Golden Cudgel, Somersault Cloud, and quick wits! Be prepared for a galloping read that will leave you breathless!