Logic S Lost Genius
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Logic S Lost Genius
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Author : Eckart Menzler-Trott
language : en
Publisher: American Mathematical Soc.
Release Date : 2007-01-01
Logic S Lost Genius written by Eckart Menzler-Trott and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
Gerhard Gentzen (1909-1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called ''proof theory'' but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on the conditions of scientific research, in this case mathematical logic, in National Socialist Germany, the ideological fight for ''German logic'', and their mutual protagonists. Numerous hitherto unpublished sources, family documents, archival material, interviews, and letters, as well as Gentzen's lectures for the mathematical public, make this book an indispensable source of information on this important mathematician, his work, and his time. The volume is completed by two deep substantial essays by Jan von Plato and Craig Smorynski on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Godel; and its development up to the present day. Smorynski explains the Hilbert program in more than the usual slogan form and shows why consistency is important. Von Plato shows in detail the benefits of Gentzen's program. This important book is a self-contained starting point for any work on Gentzen and his logic. The book is accessible to a wide audience with different backgrounds and is suitable for general readers, researchers, students, and teachers. Information for our distributors: Co-published with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.
Hiroakira Ono On Substructural Logics
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Author : Nikolaos Galatos
language : en
Publisher: Springer Nature
Release Date : 2021-12-13
Hiroakira Ono On Substructural Logics written by Nikolaos Galatos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-13 with Philosophy categories.
This volume is dedicated to Hiroakira Ono life’s work on substructural logics. Chapters, written by well-established academics, cover topics related to universal algebra, algebraic logic and the Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities, and connections to computer science. It further contains specialised contributions on connections to formal languages (recognizability in residuated lattices and connections to the finite embedding property), covering systems for modal substructural logics, results on the existence and disjunction properties and finally a study of conservativity of expansions. This book will be primarily of interest to researchers working in algebraic and non-classical logic.
Elements Of Logical Reasoning
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Author : Jan von Plato
language : en
Publisher: Cambridge University Press
Release Date : 2013
Elements Of Logical Reasoning written by Jan von Plato 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 2013 with Computers categories.
This book provides an accessible and at the same time scientifically rigorous introduction to the principles of logical reasoning.
The Victorian Cult Of Shakespeare
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Author : Charles LaPorte
language : en
Publisher: Cambridge University Press
Release Date : 2020-11-05
The Victorian Cult Of Shakespeare written by Charles LaPorte 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 2020-11-05 with Drama categories.
How and why did Victorian culture make Shakespeare into a literary deity and his work into a secular Bible?
The Adventure Of Reason
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Author : Paolo Mancosu
language : en
Publisher: OUP Oxford
Release Date : 2014-01-09
The Adventure Of Reason written by Paolo Mancosu and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-09 with Philosophy categories.
Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert's program, constructivity, Wittgenstein, Gödel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.
The Great Formal Machinery Works
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Author : Jan von Plato
language : en
Publisher: Princeton University Press
Release Date : 2017-08-02
The Great Formal Machinery Works written by Jan von Plato 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 2017-08-02 with Science categories.
The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution. Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later. Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.
Elements Of Logics
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Author : Richard Whately
language : en
Publisher:
Release Date : 1866
Elements Of Logics written by Richard Whately and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1866 with categories.
Type Logical Syntax
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Author : Yusuke Kubota
language : en
Publisher: MIT Press
Release Date : 2020-09-15
Type Logical Syntax written by Yusuke Kubota and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Language Arts & Disciplines categories.
A novel logic-based framework for representing the syntax-semantics interface of natural language, applicable to a range of phenomena. In this book, Yusuke Kubota and Robert Levine propose a type-logical version of categorial grammar as a viable alternative model of natural language syntax and semantics. They show that this novel logic-based framework is applicable to a range of phenomena--especially in the domains of coordination and ellipsis--that have proven problematic for traditional approaches.
W S Jevons
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Author : Sandra Peart
language : en
Publisher: Taylor & Francis
Release Date : 2003
W S Jevons written by Sandra Peart and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Biography & Autobiography categories.
The All Heaven
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Author : Charles Mazhar Merhebi
language : en
Publisher: Xlibris Corporation
Release Date : 2016-03-04
The All Heaven written by Charles Mazhar Merhebi and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-04 with Religion categories.
The All: Who Is Who? Who Am I? Who Are You? is a creative writing of subconscious fact in higher states of consciousness, through which Merhebi presents his redefinition of the philosophy of feeling and understanding of the universe. This is an ideal gift to the one who has everything and a treasure to the one who has nothing. In over one hundred chapters, he shares a very important world and entertains our minds and souls. Merhebi emerges as a thinker-feeler, doodler, humorist, lover, and soul handler, and above all, he provokes your mind. He expresses his feelings and ideas in a variety of ways poetically, theoretically, and mathematically but always challenges the readers feelings and beliefs on politics, religion, philosophy, personal self-sufficiency, trade, love, discrimination, parenthood, domination, relationships, time and space, and the structure of the universe. His self-professed aim for this book is to generate a theory of the geometric forms of the invisible common sense logic nothing to be truth. He proposes that as humans of the day, we believe in what is beyond our knowledge capacity, and we function by need. He sees the challenge as one of bringing what we feel in line with what we know, harmoniously accommodating our conscious knowledge with the needs of our subconscious feelings.