Hilary Putnam On Logic And Mathematics
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Hilary Putnam On Logic And Mathematics
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Author : Geoffrey Hellman
language : en
Publisher: Springer
Release Date : 2018-12-06
Hilary Putnam On Logic And Mathematics written by Geoffrey Hellman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-06 with Mathematics categories.
This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist. It features the work of distinguished scholars in the field as well as a selection of young academics who have studied topics closely connected to Putnam’s work. It includes 12 papers that analyze, develop, and constructively criticize this notable professor's research in mathematical logic, the philosophy of logic and the philosophy of mathematics. In addition, it features a short essay presenting reminiscences and anecdotes about Putnam from his friends and colleagues, and also includes an extensive bibliography of his work in mathematics and logic. The book offers readers a comprehensive review of outstanding contributions in logic and mathematics as well as an engaging dialogue between prominent scholars and researchers. It provides those interested in mathematical logic, the philosophy of logic, and the philosophy of mathematics unique insights into the work of Hilary Putnam.
Martin Davis On Computability Computational Logic And Mathematical Foundations
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Author : Eugenio G. Omodeo
language : en
Publisher: Springer
Release Date : 2017-01-27
Martin Davis On Computability Computational Logic And Mathematical Foundations written by Eugenio G. Omodeo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-27 with Philosophy categories.
This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability. The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context. They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem. The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions. In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work. As a whole, this book shows how Davis’ scientific work lies at the intersection of computability, theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.
Philosophical Approaches To The Foundations Of Logic And Mathematics
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Author : Marcin Trepczyński
language : en
Publisher: BRILL
Release Date : 2021-01-25
Philosophical Approaches To The Foundations Of Logic And Mathematics written by Marcin Trepczyński and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-25 with Philosophy categories.
Eleven papers collected in the volume Philosophical Approaches to the Foundations of Logic and Mathematics address various aspects of the “roots”, basic concepts and the nature of logic and mathematics. Taken together, these papers reveal how many serious philosophical problems lie at the foundations of logic and mathematics. The topics discussed in this volume include: transcending anti-foundationalism and two concurrent trends of "anthropological" and "practical" understanding of the foundations of mathematics, new approaches to mathematical realism, the “roots” of logic in a genetic perspective, the primacy of truth or satisfaction, and the “effectiveness” of mathematics in terms of categorical semantics.
An Introduction To Mathematical Logic
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Author : Richard E. Hodel
language : en
Publisher: Courier Corporation
Release Date : 2013-01-01
An Introduction To Mathematical Logic written by Richard E. Hodel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.
This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.
A Logical Foundation For Potentialist Set Theory
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Author : Sharon Berry
language : en
Publisher: Cambridge University Press
Release Date : 2022-02-17
A Logical Foundation For Potentialist Set Theory written by Sharon Berry 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 2022-02-17 with Mathematics categories.
A new approach to the standard axioms of set theory, relating the theory to the philosophy of science and metametaphysics.
Mathematics Matter And Method Volume 1 Philosophical Papers
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Author : Hilary Putnam
language : en
Publisher: CUP Archive
Release Date : 1975-11
Mathematics Matter And Method Volume 1 Philosophical Papers written by Hilary Putnam and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-11 with Philosophy categories.
Philosophy Of Science Logic And Mathematics In The 20th Century
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Author : Stuart G. Shanker
language : en
Publisher: Taylor & Francis
Release Date : 2023-05-09
Philosophy Of Science Logic And Mathematics In The 20th Century written by Stuart G. Shanker and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-09 with Philosophy categories.
The twentieth century witnessed the birth of analytic philosophy. This volume covers some of its key movements and philosophers, including Frege and Wittgenstein's Tractatus.
The Future Of Post Human Mathematical Logic
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Author : Peter Baofu
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2009-03-26
The Future Of Post Human Mathematical Logic written by Peter Baofu and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-26 with Medical categories.
Why should mathematical logic be grounded on the basis of some formal requirements in the way that it has been developed since its classical emergence as a hybrid field of mathematics and logic in the 19th century or earlier? Contrary to conventional wisdom, the foundation of mathematic logic has been grounded on some false (or dogmatic) assumptions which have much impoverished the pursuit of knowledge. This is not to say that mathematical logic has been useless. Quite on the contrary, it has been quite influential in shaping the way that reality is to be understood in numerous fields of knowledge—by learning from the mathematical study of logic and its reverse, the logical study of mathematics. In the final analysis, the future of mathematical logic will depend on how its foundational crisis is to be resolved, and "the contrastive theory of rationality" (in this book) is to precisely show how and why it can be done by taking a contrastive turn, subject to the constraints imposed upon by "existential dialectic principles" at the ontological level (to avoid any reductionistic fallacy) and other ones (like the perspectives of culture, society, nature, and the mind). The contrastive theory of rationality thus shows a better way to ground mathematical logic (beyond both classical and non-classical logics) for the future advancement of knowledge and, if true, will alter the way of how mathematical logic is to be understood, with its enormous implications for the future of knowledge and its "post-human" fate.
Philosophical Papers Volume 1 Mathematics Matter And Method
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Author : Hilary Putnam
language : en
Publisher: Cambridge University Press
Release Date : 1979-04-30
Philosophical Papers Volume 1 Mathematics Matter And Method written by Hilary Putnam 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 1979-04-30 with Mathematics categories.
This volume deals with the philosophy of mathematics and of science and the nature of philosophical and scientific enquiry.
Philosophy Of Logic Routledge Revivals
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Author : Hilary Putnam
language : en
Publisher: Routledge
Release Date : 2014-04-04
Philosophy Of Logic Routledge Revivals written by Hilary Putnam and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-04 with Philosophy categories.
First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.