Luitzen Egbertus Jan Brouwer S Cambridge Lectures On Intuitionism
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Brouwer S Cambridge Lectures On Intuitionism
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Author : Luitzen Egbertus Jan Brouwer
language : en
Publisher: Cambridge University Press
Release Date : 1981
Brouwer S Cambridge Lectures On Intuitionism written by Luitzen Egbertus Jan Brouwer 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 1981 with Mathematics categories.
Luitzen Egburtus Jan Brouwer founded a school of thought whose aim was to include mathematics within the framework of intuitionistic philosophy; mathematics was to be regarded as an essentially free development of the human mind. What emerged diverged considerably at some points from tradition, but intuitionism has survived well the struggle between contending schools in the foundations of mathematics and exact philosophy. Originally published in 1981, this monograph contains a series of lectures dealing with most of the fundamental topics such as choice sequences, the continuum, the fan theorem, order and well-order. Brouwer's own powerful style is evident throughout the work.
Luitzen Egbertus Jan Brouwer S Cambridge Lectures On Intuitionism
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Author :
language : en
Publisher:
Release Date : 1981
Luitzen Egbertus Jan Brouwer S Cambridge Lectures On Intuitionism written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Views On Fuzzy Sets And Systems From Different Perspectives
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Author : Rudolf Seising
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-03
Views On Fuzzy Sets And Systems From Different Perspectives written by Rudolf Seising 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 2009-04-03 with Computers categories.
This book presents the complete philosophy of Fuzzy Set Theory. It offers a collection of views from scholars involved in various research projects concerning fuzziness in science, technology, economic systems, social sciences, logics and philosophy.
Light After Dark Iii
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Author : Charles Francis
language : en
Publisher: Troubador Publishing Ltd
Release Date : 2016-09-19
Light After Dark Iii written by Charles Francis and has been published by Troubador Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-19 with Science categories.
Light after Dark III: The Mathematics of Gravity and Quanta proves the most important results described in Light after Dark II, from fundamental principles, as elegantly as possible and with the minimum of verbiage. This is a first principles account of the mathematical structure of modern theoretical physics, showing that it is not just a disparate bunch of algorithms and procedures, but is a unified structure based on observation, sound principles and solid logic, and allowing a unique physical interpretation in terms of fundamental constituents, or particles. Light after Dark III: The Mathematics of Gravity and Quanta explains essential mathematics at undergraduate level. Part I covers many core topics in a mathematics degree. Part II is a concise account of results in relativity, including the Lorentz transform from first principles, Riemann curvature, Einstein’s equation, derivations of the Schwarzschild and Friedmann solutions, and proofs of key results. Part III contains the mathematical foundations of relativistic quantum mechanics and constructs quantum electrodynamics. Divergence problems are treated with greater rigour than usual in theoretical physics, but without excessive formality. Classical electromagnetism is derived from fundamental principles. Part IV shows how quantum electrodynamics and general relativity can be described in a single structure. Light after Dark III: The Mathematics of Gravity and Quanta will interest students of mathematics and students of physics and philosophy with a mathematical leaning who are seeking a rigorous treatment and deeper mathematical insight into physical theory.
The New Yearbook For Phenomenology And Phenomenological Philosophy
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Author : Burt Hopkins
language : en
Publisher: Routledge
Release Date : 2015-03-24
The New Yearbook For Phenomenology And Phenomenological Philosophy written by Burt Hopkins and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-24 with Philosophy categories.
The New Yearbook for Phenomenology and Phenomenological Philosophy provides an annual international forum for phenomenological research in the spirit of Husserl's groundbreaking work and the extension of this work by such figures as Scheler, Heidegger, Sartre, Levinas, Merleau-Ponty and Gadamer.
Adapting Proofs As Programs
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Author : Iman Poernomo
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-27
Adapting Proofs As Programs written by Iman Poernomo 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 2007-04-27 with Computers categories.
This monograph details several important advances in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems. One of the books central themes is a general, abstract framework for developing new systems of programs synthesis by adapting proofs-as-programs to new contexts.
Advances In Proof Theoretic Semantics
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Author : Thomas Piecha
language : en
Publisher: Springer
Release Date : 2015-10-24
Advances In Proof Theoretic Semantics written by Thomas Piecha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-24 with Philosophy categories.
This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.
The Development Of Modern Logic
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Author : Leila Haaparanta
language : en
Publisher: OUP USA
Release Date : 2009-06-18
The Development Of Modern Logic written by Leila Haaparanta and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-18 with Philosophy categories.
This volume contains newly-commissioned articles covering the development of modern logic from the late medieval period (fourteenth century) through the end of the twentieth-century. It is the first volume to discuss the field with this breadth of coverage and depth. It will appeal to scholars and students of philosophical logic and the philosophy of logic.
One Hundred Years Of Intuitionism 1907 2007
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Author : Mark van Atten
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-09
One Hundred Years Of Intuitionism 1907 2007 written by Mark van Atten 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 2008-11-09 with Science categories.
Intuitionism is one of the main foundations for mathematics proposed in the twentieth century and its views on logic have also notably become important with the development of theoretical computer science. This book reviews and completes the historical account of intuitionism. It also presents recent philosophical work on intuitionism and gives examples of new technical advances and applications. It brings together 21 contributions from today's leading authors on intuitionism.
99 Variations On A Proof
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Author : Philip Ording
language : en
Publisher: Princeton University Press
Release Date : 2021-10-19
99 Variations On A Proof written by Philip Ording and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-19 with Mathematics categories.
An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.