A Precis Of Mathematical Logic Tr

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A Precis of Mathematical Logic

Author : J.M. Bochenski
Publisher : Springer Science & Business Media
ISBN 13 : 9401705925
Total Pages : 109 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis A Precis of Mathematical Logic by : J.M. Bochenski

Download or read book A Precis of Mathematical Logic written by J.M. Bochenski and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of which this is an English translation appeared originally in French as Precis de logique mathematique. In 1954 Dr. Albert Menne brought out a revised and somewhat enlarged edition in German (Grund riss der Logistik, F. Schoningh, Paderborn). In making my translation I have used both editions. For the most part I have followed the original French edition, since I thought there was some advantage in keeping the work as short as possible. However, I have included the more extensive historical notes of Dr. Menne, his bibliography, and the two sections on modal logic and the syntactical categories (§ 25 and 27), which were not in the original. I have endeavored to correct the typo graphical errors that appeared in the original editions and have made a few additions to the bibliography. In making the translation I have profited more than words can tell from the ever-generous help of Fr. Bochenski while he was teaching at the University of Notre Dame during 1955-56. OTTO BIRD Notre Dame, 1959 I GENERAL PRINCIPLES § O. INTRODUCTION 0. 1. Notion and history. Mathematical logic, also called 'logistic', ·symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the last century with the aid of an artificial notation and a rigorously deductive method.

A precis of mathematical logic; tr

Author : Joseph M. Bochenski
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (844 download)

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Book Synopsis A precis of mathematical logic; tr by : Joseph M. Bochenski

Download or read book A precis of mathematical logic; tr written by Joseph M. Bochenski and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Precis of Mathematical Logic

Author :
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis A Precis of Mathematical Logic by :

Download or read book A Precis of Mathematical Logic written by and published by . This book was released on 1959 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Precis of Mathematical Logic

Author : Joseph M 1902- Bochenski
Publisher : Hassell Street Press
ISBN 13 : 9781015285446
Total Pages : 120 pages
Book Rating : 4.2/5 (854 download)

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Book Synopsis A Precis of Mathematical Logic by : Joseph M 1902- Bochenski

Download or read book A Precis of Mathematical Logic written by Joseph M 1902- Bochenski and published by Hassell Street Press. This book was released on 2021-09-10 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Precis of Mathematical Logic

Author : Jozef Bochensky
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (83 download)

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Book Synopsis A Precis of Mathematical Logic by : Jozef Bochensky

Download or read book A Precis of Mathematical Logic written by Jozef Bochensky and published by . This book was released on 1959 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Precis of Mathematical Logic

Author : Innocentius Marie Bochénski
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (797 download)

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Book Synopsis A Precis of Mathematical Logic by : Innocentius Marie Bochénski

Download or read book A Precis of Mathematical Logic written by Innocentius Marie Bochénski and published by . This book was released on 1959 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A precis of mathematical logic

Author : Innocentius M. Bocheński
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (59 download)

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Book Synopsis A precis of mathematical logic by : Innocentius M. Bocheński

Download or read book A precis of mathematical logic written by Innocentius M. Bocheński and published by . This book was released on 1959 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Tour Through Mathematical Logic

Author : Robert S. Wolf
Publisher : American Mathematical Soc.
ISBN 13 : 161444028X
Total Pages : 397 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis A Tour Through Mathematical Logic by : Robert S. Wolf

Download or read book A Tour Through Mathematical Logic written by Robert S. Wolf and published by American Mathematical Soc.. This book was released on 2005-12-31 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Tour Through Mathematical Logic provides a tour through the main branches of the foundations of mathematics. It contains chapters covering elementary logic, basic set theory, recursion theory, Gödel's (and others') incompleteness theorems, model theory, independence results in set theory, nonstandard analysis, and constructive mathematics. In addition, this monograph discusses several topics not normally found in books of this type, such as fuzzy logic, nonmonotonic logic, and complexity theory.

The Development of Mathematical Logic

Author : P. H. Nidditch
Publisher : Burns & Oates
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Development of Mathematical Logic by : P. H. Nidditch

Download or read book The Development of Mathematical Logic written by P. H. Nidditch and published by Burns & Oates. This book was released on 1998 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a clear and straightforward summary of the history of formal logic from the time of Aristotle to that of Godel. Nidditch discusses the four main trends at the root of modern logic: Aristotle's theory of the syllogism; the idea of a universal language; the idea of the parts of mathematics forming deductive systems; and the discoveries in mathematics in the early nineteenth century. He goes on to outline the chief ideas and theories of the main writers on mathematical logic, including Jevons, Peirce, Boole, Russell, and Whitehead. The text is easy to read and gives the beginning student a valuable perspective on mathematical logic.

A Concise Introduction to Mathematical Logic

Author : Wolfgang Rautenberg
Publisher : Springer
ISBN 13 : 1441912215
Total Pages : 337 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Concise Introduction to Mathematical Logic by : Wolfgang Rautenberg

Download or read book A Concise Introduction to Mathematical Logic written by Wolfgang Rautenberg and published by Springer. This book was released on 2010-07-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.

Modern Mathematical Logic

Author : Joseph Mileti
Publisher : Cambridge University Press
ISBN 13 : 1108833144
Total Pages : 517 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Modern Mathematical Logic by : Joseph Mileti

Download or read book Modern Mathematical Logic written by Joseph Mileti and published by Cambridge University Press. This book was released on 2022-09-22 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook gives a comprehensive and modern introduction to mathematical logic at the upper-undergraduate and beginning graduate level.

Classical Mathematical Logic

Author : Richard L. Epstein
Publisher : Princeton University Press
ISBN 13 : 0691123004
Total Pages : 545 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Classical Mathematical Logic by : Richard L. Epstein

Download or read book Classical Mathematical Logic written by Richard L. Epstein and published by Princeton University Press. This book was released on 2006-07-23 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations. The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference. Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations.

Elements of mathematical logic, tr

Author : Petr Sergeevich Novikov
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (844 download)

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Book Synopsis Elements of mathematical logic, tr by : Petr Sergeevich Novikov

Download or read book Elements of mathematical logic, tr written by Petr Sergeevich Novikov and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

First Order Mathematical Logic

Author : Angelo Margaris
Publisher : Courier Corporation
ISBN 13 : 9780486662695
Total Pages : 244 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis First Order Mathematical Logic by : Angelo Margaris

Download or read book First Order Mathematical Logic written by Angelo Margaris and published by Courier Corporation. This book was released on 1990-01-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Attractive and well-written introduction." — Journal of Symbolic Logic The logic that mathematicians use to prove their theorems is itself a part of mathematics, in the same way that algebra, analysis, and geometry are parts of mathematics. This attractive and well-written introduction to mathematical logic is aimed primarily at undergraduates with some background in college-level mathematics; however, little or no acquaintance with abstract mathematics is needed. Divided into three chapters, the book begins with a brief encounter of naïve set theory and logic for the beginner, and proceeds to set forth in elementary and intuitive form the themes developed formally and in detail later. In Chapter Two, the predicate calculus is developed as a formal axiomatic theory. The statement calculus, presented as a part of the predicate calculus, is treated in detail from the axiom schemes through the deduction theorem to the completeness theorem. Then the full predicate calculus is taken up again, and a smooth-running technique for proving theorem schemes is developed and exploited. Chapter Three is devoted to first-order theories, i.e., mathematical theories for which the predicate calculus serves as a base. Axioms and short developments are given for number theory and a few algebraic theories. Then the metamathematical notions of consistency, completeness, independence, categoricity, and decidability are discussed, The predicate calculus is proved to be complete. The book concludes with an outline of Godel's incompleteness theorem. Ideal for a one-semester course, this concise text offers more detail and mathematically relevant examples than those available in elementary books on logic. Carefully chosen exercises, with selected answers, help students test their grasp of the material. For any student of mathematics, logic, or the interrelationship of the two, this book represents a thought-provoking introduction to the logical underpinnings of mathematical theory. "An excellent text." — Mathematical Reviews

A Precis of Mathematical Logic. Translated from the French and German Editions by Otto Bird

Author : Joseph M. Bochenski
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis A Precis of Mathematical Logic. Translated from the French and German Editions by Otto Bird by : Joseph M. Bochenski

Download or read book A Precis of Mathematical Logic. Translated from the French and German Editions by Otto Bird written by Joseph M. Bochenski and published by . This book was released on with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Analysis of Logic

Author : George Boole
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Mathematical Analysis of Logic by : George Boole

Download or read book The Mathematical Analysis of Logic written by George Boole and published by . This book was released on 1847 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Analysis of Logic by George Boole, first published in 1948, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.

A Course in Mathematical Logic

Author : I͡U. I. Manin
Publisher : Springer Science & Business Media
ISBN 13 : 9780387902432
Total Pages : 314 pages
Book Rating : 4.9/5 (24 download)

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Book Synopsis A Course in Mathematical Logic by : I͡U. I. Manin

Download or read book A Course in Mathematical Logic written by I͡U. I. Manin and published by Springer Science & Business Media. This book was released on 1977 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems.