Popular Lectures on Mathematical Logic

Popular Lectures on Mathematical Logic

Author: Hao Wang

Publisher: Courier Corporation

Published: 2014-09-22

Total Pages: 292

ISBN-13: 0486171043

DOWNLOAD EBOOK

Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.


Book Synopsis Popular Lectures on Mathematical Logic by : Hao Wang

Download or read book Popular Lectures on Mathematical Logic written by Hao Wang and published by Courier Corporation. This book was released on 2014-09-22 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.


The Philosophy of History

The Philosophy of History

Author: Georg Wilhelm Friedrich Hegel

Publisher:

Published: 1902

Total Pages: 586

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis The Philosophy of History by : Georg Wilhelm Friedrich Hegel

Download or read book The Philosophy of History written by Georg Wilhelm Friedrich Hegel and published by . This book was released on 1902 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Lectures on Logic

Lectures on Logic

Author: Immanuel Kant

Publisher: Cambridge University Press

Published: 2004-09-13

Total Pages: 740

ISBN-13: 9780521546911

DOWNLOAD EBOOK

Table of contents


Book Synopsis Lectures on Logic by : Immanuel Kant

Download or read book Lectures on Logic written by Immanuel Kant and published by Cambridge University Press. This book was released on 2004-09-13 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents


Truth, etc.

Truth, etc.

Author: Jonathan Barnes

Publisher: Clarendon Press

Published: 2007-01-25

Total Pages: 562

ISBN-13: 0191515744

DOWNLOAD EBOOK

Truth, etc. is a wide-ranging study of ancient logic based upon the John Locke lectures given by the eminent philosopher Jonathan Barnes in Oxford. Its six chapters discuss, first, certain ancient ideas about truth; secondly, the Aristotelian conception of predication; thirdly, various ideas about connectors which were developed by the ancient logicians and grammarians; fourthly, the notion of logical form, insofar as it may be discovered in the ancient texts; fifthly, the question of the 'justification of deduction'; and sixthly, the attitude which has been called logical utilitarianism and which restricts the scope of logic to those forms of inference which are or might be useful for scientific proofs. In principle, the book presupposes no knowledge of logic and no skill in ancient languages: all ancient texts are cited in English translation; and logical symbols and logical jargon are avoided so far as possible. There is no scholarly apparatus of footnotes, and no bibliography. It can be read in an armchair. Anyone interested in ancient philosophy, or in logic and its history, will find it interesting.


Book Synopsis Truth, etc. by : Jonathan Barnes

Download or read book Truth, etc. written by Jonathan Barnes and published by Clarendon Press. This book was released on 2007-01-25 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Truth, etc. is a wide-ranging study of ancient logic based upon the John Locke lectures given by the eminent philosopher Jonathan Barnes in Oxford. Its six chapters discuss, first, certain ancient ideas about truth; secondly, the Aristotelian conception of predication; thirdly, various ideas about connectors which were developed by the ancient logicians and grammarians; fourthly, the notion of logical form, insofar as it may be discovered in the ancient texts; fifthly, the question of the 'justification of deduction'; and sixthly, the attitude which has been called logical utilitarianism and which restricts the scope of logic to those forms of inference which are or might be useful for scientific proofs. In principle, the book presupposes no knowledge of logic and no skill in ancient languages: all ancient texts are cited in English translation; and logical symbols and logical jargon are avoided so far as possible. There is no scholarly apparatus of footnotes, and no bibliography. It can be read in an armchair. Anyone interested in ancient philosophy, or in logic and its history, will find it interesting.


Frege&s lectures on logic

Frege&s lectures on logic

Author: Gottlob Frege

Publisher: Open Court Publishing

Published: 2004

Total Pages: 196

ISBN-13: 9780812695465

DOWNLOAD EBOOK

"By looking at Frege's lectures on logic through the eyes of the young Carnap, this book casts new light on the history of logic and analytic philosophy. As two introductory essays by Gottfried Gabriel and by Erich H. Reck and Steve Awodey explain, Carnap's notes allow us to better understand Frege's deep influence on Carnap and analytic philosophy, as well as the broader philosophical matrix from which both continental and analytic styles of thought emerged in the 20th century."--BOOK JACKET.


Book Synopsis Frege&s lectures on logic by : Gottlob Frege

Download or read book Frege&s lectures on logic written by Gottlob Frege and published by Open Court Publishing. This book was released on 2004 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: "By looking at Frege's lectures on logic through the eyes of the young Carnap, this book casts new light on the history of logic and analytic philosophy. As two introductory essays by Gottfried Gabriel and by Erich H. Reck and Steve Awodey explain, Carnap's notes allow us to better understand Frege's deep influence on Carnap and analytic philosophy, as well as the broader philosophical matrix from which both continental and analytic styles of thought emerged in the 20th century."--BOOK JACKET.


Popular Lectures on Logic

Popular Lectures on Logic

Author: J. -M. Kuczynski

Publisher:

Published: 2017-03-08

Total Pages: 159

ISBN-13: 9781520785882

DOWNLOAD EBOOK

Clear answers are given to important questions in both theoretical and applied logic. The writing is cogent and straightforward. Table of Contents: 30 Principles of LogicBoolean Algebra as the Basis of Mathematical Logic Trilingual Logic 101 Principles of Logic Different kinds of Mathematical Functions: A Dialogue Fucntions, Bijections and Mapping-relations Logic and Formal TruthRelations and Ordinal Numbers Nine Kinds of NumberCausalityAnalyticity Is Mind an Emergent Property?Is Time-travel Possible?What is a Formal Language? Logic and Inference


Book Synopsis Popular Lectures on Logic by : J. -M. Kuczynski

Download or read book Popular Lectures on Logic written by J. -M. Kuczynski and published by . This book was released on 2017-03-08 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear answers are given to important questions in both theoretical and applied logic. The writing is cogent and straightforward. Table of Contents: 30 Principles of LogicBoolean Algebra as the Basis of Mathematical Logic Trilingual Logic 101 Principles of Logic Different kinds of Mathematical Functions: A Dialogue Fucntions, Bijections and Mapping-relations Logic and Formal TruthRelations and Ordinal Numbers Nine Kinds of NumberCausalityAnalyticity Is Mind an Emergent Property?Is Time-travel Possible?What is a Formal Language? Logic and Inference


Probability Theory

Probability Theory

Author: Nikolai Dokuchaev

Publisher: World Scientific Publishing Company

Published: 2015-06-12

Total Pages: 224

ISBN-13: 9814678058

DOWNLOAD EBOOK

This book provides a systematic, self-sufficient and yet short presentation of the mainstream topics on introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for a 10- to 14-week course for second- or third-year undergraduate students in Science, Mathematics, Statistics, Finance, or Economics, who have completed some introductory course in Calculus. There is a sufficient number of problems and solutions to cover weekly tutorials.


Book Synopsis Probability Theory by : Nikolai Dokuchaev

Download or read book Probability Theory written by Nikolai Dokuchaev and published by World Scientific Publishing Company. This book was released on 2015-06-12 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic, self-sufficient and yet short presentation of the mainstream topics on introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for a 10- to 14-week course for second- or third-year undergraduate students in Science, Mathematics, Statistics, Finance, or Economics, who have completed some introductory course in Calculus. There is a sufficient number of problems and solutions to cover weekly tutorials.


Reasoning and the Logic of Things

Reasoning and the Logic of Things

Author: Charles Sanders Peirce

Publisher: Harvard University Press

Published: 1992

Total Pages: 318

ISBN-13: 9780674749672

DOWNLOAD EBOOK

Charles Sanders Peirce (1839-1914) was an American philosopher, physicist, mathematician and founder of pragmatism. This book provides readers with philosopher's only known, complete account of his own work. It comprises a series of lectures given in Cambridge, Massachusetts in 1898.


Book Synopsis Reasoning and the Logic of Things by : Charles Sanders Peirce

Download or read book Reasoning and the Logic of Things written by Charles Sanders Peirce and published by Harvard University Press. This book was released on 1992 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Sanders Peirce (1839-1914) was an American philosopher, physicist, mathematician and founder of pragmatism. This book provides readers with philosopher's only known, complete account of his own work. It comprises a series of lectures given in Cambridge, Massachusetts in 1898.


The Art of Logic in an Illogical World

The Art of Logic in an Illogical World

Author: Eugenia Cheng

Publisher: Basic Books

Published: 2018-09-11

Total Pages: 321

ISBN-13: 154167250X

DOWNLOAD EBOOK

How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.


Book Synopsis The Art of Logic in an Illogical World by : Eugenia Cheng

Download or read book The Art of Logic in an Illogical World written by Eugenia Cheng and published by Basic Books. This book was released on 2018-09-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.


Logic of Mathematics

Logic of Mathematics

Author: Zofia Adamowicz

Publisher: John Wiley & Sons

Published: 2011-09-26

Total Pages: 276

ISBN-13: 1118030796

DOWNLOAD EBOOK

A thorough, accessible, and rigorous presentation of the central theorems of mathematical logic . . . ideal for advanced students of mathematics, computer science, and logic Logic of Mathematics combines a full-scale introductory course in mathematical logic and model theory with a range of specially selected, more advanced theorems. Using a strict mathematical approach, this is the only book available that contains complete and precise proofs of all of these important theorems: * Gödel's theorems of completeness and incompleteness * The independence of Goodstein's theorem from Peano arithmetic * Tarski's theorem on real closed fields * Matiyasevich's theorem on diophantine formulas Logic of Mathematics also features: * Full coverage of model theoretical topics such as definability, compactness, ultraproducts, realization, and omission of types * Clear, concise explanations of all key concepts, from Boolean algebras to Skolem-Löwenheim constructions and other topics * Carefully chosen exercises for each chapter, plus helpful solution hints At last, here is a refreshingly clear, concise, and mathematically rigorous presentation of the basic concepts of mathematical logic-requiring only a standard familiarity with abstract algebra. Employing a strict mathematical approach that emphasizes relational structures over logical language, this carefully organized text is divided into two parts, which explain the essentials of the subject in specific and straightforward terms. Part I contains a thorough introduction to mathematical logic and model theory-including a full discussion of terms, formulas, and other fundamentals, plus detailed coverage of relational structures and Boolean algebras, Gödel's completeness theorem, models of Peano arithmetic, and much more. Part II focuses on a number of advanced theorems that are central to the field, such as Gödel's first and second theorems of incompleteness, the independence proof of Goodstein's theorem from Peano arithmetic, Tarski's theorem on real closed fields, and others. No other text contains complete and precise proofs of all of these theorems. With a solid and comprehensive program of exercises and selected solution hints, Logic of Mathematics is ideal for classroom use-the perfect textbook for advanced students of mathematics, computer science, and logic.


Book Synopsis Logic of Mathematics by : Zofia Adamowicz

Download or read book Logic of Mathematics written by Zofia Adamowicz and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough, accessible, and rigorous presentation of the central theorems of mathematical logic . . . ideal for advanced students of mathematics, computer science, and logic Logic of Mathematics combines a full-scale introductory course in mathematical logic and model theory with a range of specially selected, more advanced theorems. Using a strict mathematical approach, this is the only book available that contains complete and precise proofs of all of these important theorems: * Gödel's theorems of completeness and incompleteness * The independence of Goodstein's theorem from Peano arithmetic * Tarski's theorem on real closed fields * Matiyasevich's theorem on diophantine formulas Logic of Mathematics also features: * Full coverage of model theoretical topics such as definability, compactness, ultraproducts, realization, and omission of types * Clear, concise explanations of all key concepts, from Boolean algebras to Skolem-Löwenheim constructions and other topics * Carefully chosen exercises for each chapter, plus helpful solution hints At last, here is a refreshingly clear, concise, and mathematically rigorous presentation of the basic concepts of mathematical logic-requiring only a standard familiarity with abstract algebra. Employing a strict mathematical approach that emphasizes relational structures over logical language, this carefully organized text is divided into two parts, which explain the essentials of the subject in specific and straightforward terms. Part I contains a thorough introduction to mathematical logic and model theory-including a full discussion of terms, formulas, and other fundamentals, plus detailed coverage of relational structures and Boolean algebras, Gödel's completeness theorem, models of Peano arithmetic, and much more. Part II focuses on a number of advanced theorems that are central to the field, such as Gödel's first and second theorems of incompleteness, the independence proof of Goodstein's theorem from Peano arithmetic, Tarski's theorem on real closed fields, and others. No other text contains complete and precise proofs of all of these theorems. With a solid and comprehensive program of exercises and selected solution hints, Logic of Mathematics is ideal for classroom use-the perfect textbook for advanced students of mathematics, computer science, and logic.