The Bulletin of Symbolic Logic
Author | : |
Publisher | : |
Total Pages | : 156 |
Release | : 2009 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
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Author | : |
Publisher | : |
Total Pages | : 156 |
Release | : 2009 |
Genre | : Logic, Symbolic and mathematical |
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Author | : Alonzo Church |
Publisher | : |
Total Pages | : 958 |
Release | : 1981 |
Genre | : Electronic journals |
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Includes lists of members.
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Publisher | : |
Total Pages | : 150 |
Release | : 2009 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Author | : Joseph R. Shoenfield |
Publisher | : CRC Press |
Total Pages | : 351 |
Release | : 2018-05-02 |
Genre | : Mathematics |
ISBN | : 135143330X |
This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and accessible fashion, concentrating on what he views as the central topics of mathematical logic: proof theory, model theory, recursion theory, axiomatic number theory, and set theory. There are many exercises, and they provide the outline of what amounts to a second book that goes into all topics in more depth. This book has played a role in the education of many mature and accomplished researchers.
Author | : John Venn |
Publisher | : American Mathematical Soc. |
Total Pages | : 584 |
Release | : 2006 |
Genre | : History |
ISBN | : 9780821841990 |
Venn's style is to take his readers very much into his confidence: as he builds the theory, he carefully points out the alternative paths he might have taken, the alternative definitions he might have used, he shows what the implications of these alternatives are, and justifies his choice on the broadest possible grounds. What is distinctive about this work may be given in part in Venn's own words: ``The thorough examination of symbolic logic as a whole, that is, in its relation to ordinary logic and ordinary thought and language; the establishment of every general symbolic expression and rule on purely logical principles, instead of looking mainly to its formal justification; and the invention and employment of a scheme of diagrammatic notation which shall be in true harmony with our generalizations.''
Author | : R. E. Houser |
Publisher | : Catholic University of America Press |
Total Pages | : 481 |
Release | : 2019-12-10 |
Genre | : Philosophy |
ISBN | : 0813232341 |
In the twenty-first century there are two ways to study logic. The more recent approach is symbolic logic. The history of teaching logic since World War II, however, casts doubt on the idea that symbolic logic is best for a first logic course. Logic as a Liberal Art is designed as part of a minority approach, teaching logic in the "verbal" way, in the student's "natural" language, the approach invented by Aristotle. On utilitarian grounds alone, this "verbal" approach is superior for a first course in logic, for the whole range of students. For millennia, this "verbal" approach to logic was taught in conjunction with grammar and rhetoric, christened the trivium. The decline in teaching grammar and rhetoric in American secondary schools has led Dr. Rollen Edward Houser to develop this book. The first part treats grammar, rhetoric, and the essential nature of logic. Those teachers who look down upon rhetoric are free, of course, to skip those lessons. The treatment of logic itself follows Aristotle's division of the three acts of the mind (Prior Analytics 1.1). Formal logic is then taken up in Aristotle's order, with Parts on the logic of Terms, Propositions, and Arguments. The emphasis in Logic as a Liberal Art is on learning logic through doing problems. Consequently, there are more problems in each lesson than would be found, for example, in many textbooks. In addition, a special effort has been made to have easy, medium, and difficult problems in each Problem Set. In this way the problem sets are designed to offer a challenge to all students, from those most in need of a logic course to the very best students.
Author | : Arthur Thomas Shearman |
Publisher | : Ardent Media |
Total Pages | : 254 |
Release | : 2019-02-20 |
Genre | : History |
ISBN | : |
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author | : David Hilbert |
Publisher | : Read Books Ltd |
Total Pages | : 139 |
Release | : 2015-05-06 |
Genre | : History |
ISBN | : 1473395941 |
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
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Total Pages | : |
Release | : 1961 |
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Author | : Dimiter G. Skordev |
Publisher | : Springer Science & Business Media |
Total Pages | : 366 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461308976 |
The Summer School and Conference on Mathematical Logic and its Applications, September 24 - October 4, 1986, Druzhba, Bulgaria, was honourably dedicated to the 80-th anniversary of Kurt Godel (1906 - 1978), one of the greatest scientists of this (and not only of this) century. The main topics of the Meeting were: Logic and the Foundation of Mathematics; Logic and Computer Science; Logic, Philosophy, and the Study of Language; Kurt Godel's life and deed. The scientific program comprised 5 kinds of activities, namely: a) a Godel Session with 3 invited lecturers b) a Summer School with 17 invited lecturers c) a Conference with 13 contributed talks d) Seminar talks (one invited and 12 with no preliminary selection) e) three discussions The present volume reflects an essential part of this program, namely 14 of the invited lectures and all of the contributed talks. Not presented in the volltme remai ned si x of the i nvi ted lecturers who di d not submi t texts: Yu. Ershov - The Language of!:-expressions and its Semantics; S. Goncharov - Mathematical Foundations of Semantic Programming; Y. Moschovakis - Foundations of the Theory of Algorithms; N. Nagornyj - Is Realizability of Propositional Formulae a GBdelean Property; N. Shanin - Some Approaches to Finitization of Mathematical Analysis; V. Uspensky - Algorithms and Randomness - joint with A.N.