Propositional and Predicate Calculus: A Model of Argument

Author: Derek Goldrei

Publisher: Springer Science & Business Media

ISBN: 9781846282294

Category: Mathematics

Page: 315

View: 6334

Designed specifically for guided independent study. Features a wealth of worked examples and exercises, many with full teaching solutions, that encourage active participation in the development of the material. It focuses on core material and provides a solid foundation for further study.
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Mathematical Logic: Part 1

Propositional Calculus, Boolean Algebras, Predicate Calculus, Completeness Theorems

Author: René Cori,Daniel Lascar

Publisher: OUP Oxford

ISBN: 0191589772

Category: Mathematics

Page: 360

View: 3318

Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. In particular, it is a major element in theoretical computer science and has undergone a huge revival with the explosion of interest in computers and computer science. This book provides students with a clear and accessible introduction to this important subject. The concept of model underlies the whole book, giving the text a theoretical coherence whilst still covering a wide area of logic.
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Principia Mathematica.

Author: Alfred North Whitehead,Bertrand Russell

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: 167

View: 3841

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Mathematical Logic: Recursion theory, Gödel's theorems, Set theory, Model theory

Author: René Cori,Daniel Lascar

Publisher: Oxford University Press on Demand

ISBN: 9780198500513

Category: Mathematics

Page: 331

View: 6626

Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the ever-growing importance of computer science. This text is based on a course to undergraduates and provides a clear and accessible introduction to mathematical logic. The concept of model provides the underlying theme, giving the text a theoretical coherence whilst still covering a wide area of logic. The foundations having been laid in Part 1, this book starts with recursion theory, a topic essential for the complete scientist. Then follows Godel's incompleteness theorems and axiomatic set theory. Chapter 8 provides an introduction to model theory. There are examples throughout each section, and varied selection of exercises at the end. Answers to the exercises are given in the appendix.
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Einführung in die Modelltheorie

Vorlesungen

Author: Philipp Rothmaler

Publisher: Spektrum Akademischer Verlag

ISBN: 9783860254615

Category: Model theory

Page: 331

View: 1415

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Handbook of mathematics

Author: Thierry Vialar

Publisher: BoD - Books on Demand

ISBN: 2322000825

Category: Mathematics

Page: 836

View: 4540

The book consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for scientists, engineers, students, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science, as well as for beginners. It provides a wide range of mathematical concepts, definitions, propositions, theorems, and numerous illustrations. Difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts is quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. The purpose and hope is that it will serve the needs of readers, their studies, explorations, work, or researches.
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Logik für Dummies

Author: Mark Zegarelli

Publisher: John Wiley & Sons

ISBN: 3527657444

Category: Mathematics

Page: 358

View: 5232

Logik ist die Basis von Wissenschaft, aber auch eine Br?cke von Wissenschaft zum Alltag. So einfach sie scheint, so anspruchsvoll ist sie im Detail. Mark Zegarelli f?hrt Sie in "Logik f?r Dummies" systematisch in die Logik ein. Vom Paradoxon ?ber symbolische Logik bis zur Syllogistik l?sst er nichts aus und zeigt Ihnen, wie man Argumente pr?ft. Er arbeitet dabei mit anschaulichen Beispielen und schafft es so, dieses abstrakte Thema den Lesern nicht nur verst?ndlich zu machen, sondern ihnen auch Wert und Nutzen von Logik aufzuzeigen. Eine Einf?hrung, die den Wissensdurst stillt und Lust auf mehr macht.
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Scientific Method in Practice

Author: Hugh G. Gauch

Publisher: Cambridge University Press

ISBN: 9780521017084

Category: Science

Page: 435

View: 6450

This book will enable scientists to be better scientists by offering them a deeper understanding of the scientific method.
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Logische Grundlagen der Künstlichen Intelligenz

Author: Nils J. Nilsson

Publisher: Springer-Verlag

ISBN: 3322928810

Category: Technology & Engineering

Page: 576

View: 8602

Das Buch ist die deutsche Übersetzung des Standardwerkes der Stanforder Professoren Michael R. Genesereth und Nils J. Nilsson.Im Unterschied zu deutschen Lehrbüchern der Informatik zeichnet sich das Buch dadurch aus, daß es einen gut lesbaren Überblick gibt, ohne allzu formalistisch zu werden, gleichwohl aber von hohem Niveau ist und die Ergebnisse jüngster Forschung berücksichtigt. Das Buch empfiehlt sich sowohl für Studenten und Dozenten der Inf ormatik, aber auch für Forscher aus anderen Gebieten, die von den Grundlagen der Künstlichen Intelligenz profitieren möchten.
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Vorlesungen über die Algebra der Logik (exakte Logik)

Author: Ernst Schröder,Eugen Müller

Publisher: N.A

ISBN: 9783742882486

Category:

Page: 236

View: 9496

Vorlesungen uber die Algebra der Logik (exakte Logik) ist ein unveranderter, hochwertiger Nachdruck der Originalausgabe aus dem Jahr 1890. Hansebooks ist Herausgeber von Literatur zu unterschiedlichen Themengebieten wie Forschung und Wissenschaft, Reisen und Expeditionen, Kochen und Ernahrung, Medizin und weiteren Genres.Der Schwerpunkt des Verlages liegt auf dem Erhalt historischer Literatur.Viele Werke historischer Schriftsteller und Wissenschaftler sind heute nur noch als Antiquitaten erhaltlich. Hansebooks verlegt diese Bucher neu und tragt damit zum Erhalt selten gewordener Literatur und historischem Wissen auch fur die Zukunft bei."
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A Brief History of Computing

Author: Gerard O'Regan

Publisher: Springer Science & Business Media

ISBN: 1848000839

Category: Computers

Page: 245

View: 1888

Robert Irwin travels back in time with his real-life best friend, in his third wild adventure Robert and his best friend Riley are visiting the Canadian badlands in Alberta with Riley's Uncle Nate. The badlands are home to more than 35 different species of dinosaur fossils. Robert and Riley get pulled back in time to Alberta, Canada during the Late Cretaceous period, to find a heavily armored euoplocephalus trapped in vines. The rescue doesn't go according to plan when a ferocious gorgosaurus arrives on the scene, looking for a snack.
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Handbook of Philosophical Logic

Author: D.M. Gabbay,Franz Guenthner

Publisher: Springer Science & Business Media

ISBN: 9781402030918

Category: Philosophy

Page: 372

View: 7864

The first edition of the Handbook of Philosophical Logic (four volumes) was published in the period 1983-1989 and has proven to be an invaluable reference work to both students and researchers in formal philosophy, language and logic. The second edition of the Handbook is intended to comprise some 18 volumes and will provide a very up-to-date authoritative, in-depth coverage of all major topics in philosophical logic and its applications in many cutting-edge fields relating to computer science, language, argumentation, etc. The volumes will no longer be as topic-oriented as with the first edition because of the way the subject has evolved over the last 15 years or so. However the volumes will follow some natural groupings of chapters. Audience: Students and researchers whose work or interests involve philosophical logic and its applications
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Mathematical Logic

Author: Stephen Cole Kleene

Publisher: Courier Corporation

ISBN: 0486317072

Category: Mathematics

Page: 416

View: 658

Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.
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Philosophy After F.H. Bradley

Author: Leslie Armour,James Bradley

Publisher: A&C Black

ISBN: 9781855064843

Category: Philosophy

Page: 368

View: 6794

This collection of essays -- the first of its kind -- analyses the impact of the thought of F. H. Bradley (1846-1924) on philosophy throughout the English-speaking world. The pre-eminent British philosopher of his generation, Bradley's rich and complex version of Absolute Idealism plays a key role not only in Idealist philosophy, politics and ethics, but also in the development of modern logic, of analytical philosophy, and of pragmatism, as well as in the thinking of figures such as R. G. Collingwood and A. N. Whitehead. The work of a group of Canadian philosophers writing from widely different standpoints, the essays in this volume define both the nature and scale of Bradley's influence and continuing significance in large areas of debate in twentieth-century philosophy. Topics covered include: the history of Idealism in the twentieth century; Bradley's relation to figures such as Bernard Bosanquet, C. A. Campbell, Brand Blanshard, John Watson, John Dewey, R. G. Collingwood and A. N. Whitehead; Bradley's influence on twentieth-century empiricism, modern logic, and analytical philosophy; and his significance for contemporary debates in epistemology and ethics.
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Naive Mengenlehre

Author: Paul R. Halmos

Publisher: Vandenhoeck & Ruprecht

ISBN: 9783525405277

Category: Arithmetic

Page: 132

View: 807

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Begriffsschrift und andere Aufsätze

Mit E. Husserls und H. Scholz' Anmerkungen herausgegeben von Ignacio Angelelli

Author: Gottlob Frege

Publisher: Georg Olms Verlag

ISBN: 3487006235

Category: Philosophy

Page: 124

View: 1863

Dieser Band enthält die vier Arbeiten Freges: Begriffsschrift, eine der arithmetischen nachgebildeten Formelsprache, 1879; Anwendungen der Begriffsschrift, 1879; Über den Briefwechsel Leibnizens und Huggens mit Papin, 1881; Über den Zweck der Begriffsschrift, 1883; Über die wissenschaftliche Berechtigung einer Begriffsschrift, 1882. Frege's research work in the field of mathematical logic is of great importance for the present-day analytic philosophy. We actually owe to Frege a great amount of basical insight and exemplary research, which set up a new standard also in other fields of knowledge. As the founder of mathematical logic he severely examindes the syllogisms on which arithmetic is built up. In doing so, Frege recognized that our colloquial language is inadequate to define logic structures. His notional language corresponded to the artaivicial logical language demandes by Leibniz. Frege's achievement in the field of logic were so important, that they radiated into the domain of philosophy and influenced the development of mathematical logic decisively.
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Gesetze der Form

Author: George Spencer-Brown

Publisher: Joh. Bohmeier Verlag

ISBN: 9783890943213

Category: Algebraic logic

Page: 200

View: 7921

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