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Author : Eugen Müller
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (115 download)
Download or read book Uber die algebra der logik written by Eugen Müller and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ernst Schröder
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (658 download)
Download or read book Vorlesungen über die Algebra der Logik written by Ernst Schröder and published by . This book was released on 1890 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Drucker
Publisher : Springer Science & Business Media
ISBN 13 : 0817647686
Total Pages : 218 pages
Book Rating : 4.8/5 (176 download)
Download or read book Perspectives on the History of Mathematical Logic written by Thomas Drucker and published by Springer Science & Business Media. This book was released on 2008-01-04 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.
Author : William Aspray
Publisher : U of Minnesota Press
ISBN 13 : 0816615675
Total Pages : 396 pages
Book Rating : 4.8/5 (166 download)
Download or read book History and Philosophy of Modern Mathematics written by William Aspray and published by U of Minnesota Press. This book was released on 1988 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.
Author : Rudolf Carnap
Publisher : Routledge
ISBN 13 : 1317830601
Total Pages : 369 pages
Book Rating : 4.3/5 (178 download)
Download or read book Logical Syntax of Language written by Rudolf Carnap and published by Routledge. This book was released on 2014-06-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is IV volume of eight in a series on Philosophy of the Mind and Language. For nearly a century mathematicians and logicians have been striving hard to make logic an exact science. But a book on logic must contain, in addition to the formulae, an expository context which, with the assistance of the words of ordinary language, explains the formulae and the relations between them; and this context often leaves much to be desired in the matter of clarity and exactitude. Originally published in 1937, the purpose of the present work is to give a systematic exposition of such a method, namely, of the method of " logical syntax".
Author : Dennis E. Hesseling
Publisher : Birkhäuser
ISBN 13 : 303487989X
Total Pages : 464 pages
Book Rating : 4.0/5 (348 download)
Download or read book Gnomes in the Fog written by Dennis E. Hesseling and published by Birkhäuser. This book was released on 2012-12-06 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The significance of foundational debate in mathematics that took place in the 1920s seems to have been recognized only in circles of mathematicians and philosophers. A period in the history of mathematics when mathematics and philosophy, usually so far away from each other, seemed to meet. The foundational debate is presented with all its brilliant contributions and its shortcomings, its new ideas and its misunderstandings.
Author : Stuart Shanker
Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.X/5 (1 download)
Download or read book Ludwig Wittgenstein written by Stuart Shanker and published by . This book was released on 1986 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kurt Gödel
Publisher : Courier Corporation
ISBN 13 : 0486158403
Total Pages : 82 pages
Book Rating : 4.4/5 (861 download)
Download or read book On Formally Undecidable Propositions of Principia Mathematica and Related Systems written by Kurt Gödel and published by Courier Corporation. This book was released on 2012-05-24 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.
Author : Alonzo Church
Publisher :
ISBN 13 :
Total Pages : 734 pages
Book Rating : 4.:/5 (36 download)
Download or read book The Journal of Symbolic Logic written by Alonzo Church and published by . This book was released on 1979 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes lists of members.
Author : Paul Lorenzen
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (91 download)
Download or read book Formale Logik written by Paul Lorenzen and published by . This book was released on 1967 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maren Kusch
Publisher : Springer Science & Business Media
ISBN 13 : 9400924178
Total Pages : 382 pages
Book Rating : 4.4/5 (9 download)
Download or read book Language as Calculus vs. Language as Universal Medium written by Maren Kusch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: I first became interested in Husserl and Heidegger as long ago as 1980, when as an undergraduate at the Freie Universitat Berlin I studied the books by Professor Ernst Tugendhat. Tugendhat's at tempt to bring together analytical and continental philosophy has never ceased to fascinate me, and even though in more recent years other influences have perhaps been stronger, I should like to look upon the present study as still being indebted to Tugendhat's initial incentive. It was my good fortune that for personal reasons I had to con tinue my academic training from 1981 onwards in Finland. Even though Finland is a stronghold of analytical philosophy, it also has a tradition of combining continental and Anglosaxon philosophical thought. Since I had already admired this line of work in Tugendhat, it is hardly surprising that once in Finland I soon became impressed by Professor Jaakko Hintikka's studies on Husserl and intentionality, and by Professor Georg Henrik von Wright's analytical hermeneu tics. While the latter influence has-at least in part-led to a book on the history of hermeneutics, the former influence has led to the present work. My indebtedness to Professor Hintikka is enormous. Not only is the research reported here based on his suggestions, but Hintikka has also commented extensively on different versions of the manuscript, helped me to make important contacts, found a publisher for me, and-last but not least-was a never failing source of encouragement.
Author : Eckart Menzler-Trott
Publisher : American Mathematical Soc.
ISBN 13 : 1470428121
Total Pages : 466 pages
Book Rating : 4.4/5 (74 download)
Download or read book Logic's Lost Genius written by Eckart Menzler-Trott and published by American Mathematical Soc.. This book was released on 2016-05-05 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Smoryński on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Gödel; and its development up to the present day. Smoryński 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Journal of Unified Science (Erkenntnis). written by and published by . This book was released on 1936 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. 1-2 include Bericht über die Tagung für Erkenntnislehre der exakten Wissenschaften, 1929-1930; v. 5-7 include addresses given at the International Congress for the Unity of Science, 1934-1938.
Author : S.G. Shanker
Publisher : Routledge
ISBN 13 : 1134947976
Total Pages : 272 pages
Book Rating : 4.1/5 (349 download)
Download or read book Godel's Theorem in Focus written by S.G. Shanker and published by Routledge. This book was released on 2012-08-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A layman's guide to the mechanics of Gödel's proof together with a lucid discussion of the issues which it raises. Includes an essay discussing the significance of Gödel's work in the light of Wittgenstein's criticisms.
Author : Hide Ishiguro
Publisher : Cambridge University Press
ISBN 13 : 9780521377812
Total Pages : 264 pages
Book Rating : 4.3/5 (778 download)
Download or read book Leibniz's Philosophy of Logic and Language written by Hide Ishiguro and published by Cambridge University Press. This book was released on 1990 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of an important introduction to Leibniz's philosophy of logic and language first published in 1972. It takes issue with several traditional interpretations of Leibniz (by Russell amongst others) while revealing how Leibniz's thought is related to issues of great interest in current logical theory. For this new edition, the author has added new chapters on infinitesimals and conditionals as well as taking account of reviews of the first edition.
Author : Jan von Plato
Publisher : Springer Nature
ISBN 13 : 3030971341
Total Pages : 221 pages
Book Rating : 4.0/5 (39 download)
Download or read book Chapters from Gödel’s Unfinished Book on Foundational Research in Mathematics written by Jan von Plato and published by Springer Nature. This book was released on 2022-05-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains English translations of Gödel's chapters on logicism and the antinomies and on the calculi of pure logic, as well as outlines for a chapter on metamathematics. It also comprises most of his reading notes. This book is a testimony to Gödel's understanding of the situation of foundational research in mathematics after his great discovery, the incompleteness theorem of 1931. It is also a source for his views on his logical predecessors, from Leibniz, Frege, and Russell to his own times. Gödel's "own book on foundations," as he called it, is essential reading for logicians and philosophers interested in foundations. Furthermore, it opens a new chapter to the life and achievement of one of the icons of 20th century science and philosophy.
Author : Lukas M. Verburgt
Publisher : Bloomsbury Publishing
ISBN 13 : 1350228869
Total Pages : 333 pages
Book Rating : 4.3/5 (52 download)
Download or read book Aristotle's Syllogism and the Creation of Modern Logic written by Lukas M. Verburgt and published by Bloomsbury Publishing. This book was released on 2023-01-26 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
