From Frege To G Del

Author: Jean van Heijenoort
Editor: Harvard University Press
ISBN: 9780674324497
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Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege's Begriffsschrift--which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory--begins the volume, which concludes with papers by Herbrand and by Gödel.

From Frege To Goedel A Source Book In Mathematical Logic 1879 1931

Author: van Heijenoort (J.)
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From Frege To Goedel A Source Book In Mathematical Logic 1879 1931 Ed By

Author: Jean Van heijenoort
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From Frege To G Del

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From Frege To Goedel

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Frege And G Del

Author: Gottlob Frege
Editor: Cambridge, Mass. : Harvard University Press
ISBN:
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This volume, a shortened edition of Mr. van Heijenoort's internationally acclaimed From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931 (HUP 1967), makes available in English the two most important works in the growth of modern mathematical logic. Heralded by Leibniz, modern logic had its beginnings in the work of Boole, DeMorgan, and Jevons, but the 1879 publication of Gottlob Frege's Begriffsschrift opened a great epoch in the history of logic with the full-form presentation of the propositional calculus and quantification theory. Frege and Gödel: Two Fundamental Texts in Mathematical Logic begins with this short book, which ushered in the classical age of mathematical logic by outlining the construction of a system of logical symbolism. The volume concludes with Gödel's famous incompleteness paper of 1931, which changed the development of logic and the foundations of mathematics by revealing the intrinsic limitations of formal systems, and brought to an end the classical phase. Mr. van Heijenoort has provided a new introduction which sets the Frege and Gödel pieces in perspective in the development of modern logic and points out difficulties in interpretation. Editorial comments, footnotes, and bibliographic information offer additional explanatory material.

From Frege To G Del

Author: Jean Van Heijenoort
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ISBN: 9780674324503
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The Infinite

Author: A. W. Moore
Editor: Psychology Press
ISBN: 0415070481
File Size: 42,30 MB
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This historical study of the infinite covers all its aspects from the mathematical to the mystical. Anyone who has ever pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of the subject. Beginning with an entertaining account of the main paradoxes of the infinite, including those of Zeno, A.W. Moore traces the history of the topic from Aristotle to Kant, Hegel, Cantor, and Wittgenstein.

Contemporary Authors

Author: Terrie M. Rooney
Editor: Gale / Cengage Learning
ISBN: 9780787619947
File Size: 63,87 MB
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Your students and users will find biographical information on approximately 300 modern writers in this volume of Contemporary Authors®. Authors in this volume include: Charles Frazier Joshua Henkin Gabrielle Reeche Arthur Stringer

Wissenschaftstheoretische Beitr Ge Zur Kritik An Dem Aristotelischen Und Fregeschen Formalen Beweisbegriff

Author: Roger Wasserman
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An Introduction To Mathematical Logic

Author: Richard E. Hodel
Editor: Brooks/Cole
ISBN:
File Size: 75,30 MB
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A mathematics-based logic text with strong emphasis on recursion theory and a new approach emphasizing Godel's theorem building to Hilbert's Tenth Problem. Topics discussed include propositional logic, first order languages and first order logic against a background of logic and mathematics.

Kurt G Del And The Foundations Of Mathematics

Author: Matthias Baaz
Editor: Cambridge University Press
ISBN: 1139498436
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This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.

Fuzzy Mathematics

Author: Etienne E. Kerre
Editor: MDPI
ISBN: 303897322X
File Size: 19,70 MB
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This book is a printed edition of the Special Issue "Fuzzy Mathematics" that was published in Mathematics

Encyclopaedia Of Mathematics Supplement Iii

Author: Michiel Hazewinkel
Editor: Springer Science & Business Media
ISBN: 0306483734
File Size: 42,77 MB
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This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Kurt G Del Und Die Mathematische Logik

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Editor: Werner DePauli-Schimanovich
ISBN: 385487815X
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Karl Menger Ergebnisse Eines Mathematischen Kolloquiums

Author: Egbert Dierker
Editor: Springer-Verlag
ISBN: 3709164702
File Size: 54,94 MB
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Die von Karl Menger und seinen Mitarbeitern (darunter Kurt Gödel) herausgegebenen "Ergebnisse eines Mathematischen Kolloquiums" zählen zu den wichtigsten Quellenwerken der Wissenschafts- und Geistesgeschichte der Zwischenkriegszeit, mit bahnbrechenden Beiträgen von Menger, Gödel, Tarski, Wald, John von Neumann und vielen anderen. In diesem Band liegt der Inhalt erstmals gesammelt vor. Der Nobelpreisträger Gerard Debreu schrieb die Einleitung, die Kommentare wurden vom Logiker und Gödel-Biographen John Dawson jr., dem Topologen Ryszard Engelking und dem Wirtschaftstheoretiker Werner Hildenbrand verfasst. Außerdem enthält der Band einen biographischen Aufsatz über Karl Menger sowie einen von Menger verfassten Überblick über die wichtigsten topologischen und geometrischen Arbeiten des Kolloquiums.

Logical Number Theory I

Author: Craig Smorynski
Editor: Springer Science & Business Media
ISBN: 3642754627
File Size: 59,61 MB
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Number theory as studied by the logician is the subject matter of the book. This first volume can stand on its own as a somewhat unorthodox introduction to mathematical logic for undergraduates, dealing with the usual introductory material: recursion theory, first-order logic, completeness, incompleteness, and undecidability. In addition, its second chapter contains the most complete logical discussion of Diophantine Decision Problems available anywhere, taking the reader right up to the frontiers of research (yet remaining accessible to the undergraduate). The first and third chapters also offer greater depth and breadth in logico-arithmetical matters than can be found in existing logic texts. Each chapter contains numerous exercises, historical and other comments aimed at developing the student's perspective on the subject, and a partially annotated bibliography.

A Beginner S Guide To Mathematical Logic

Author: Raymond M. Smullyan
Editor: Courier Corporation
ISBN: 0486492370
File Size: 18,86 MB
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Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems. Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and graduate courses, this book will also amuse and enlighten mathematically minded readers. Dover (2014) original publication. See every Dover book in print at www.doverpublications.com

God And Abstract Objects

Author: William Lane Craig
Editor: Springer
ISBN: 3319553844
File Size: 64,78 MB
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This book is an exploration and defense of the coherence of classical theism’s doctrine of divine aseity in the face of the challenge posed by Platonism with respect to abstract objects. A synoptic work in analytic philosophy of religion, the book engages discussions in philosophy of mathematics, philosophy of language, metaphysics, and metaontology. It addresses absolute creationism, non-Platonic realism, fictionalism, neutralism, and alternative logics and semantics, among other topics. The book offers a helpful taxonomy of the wide range of options available to the classical theist for dealing with the challenge of Platonism. It probes in detail the diverse views on the reality of abstract objects and their compatibility with classical theism. It contains a most thorough discussion, rooted in careful exegesis, of the biblical and patristic basis of the doctrine of divine aseity. Finally, it challenges the influential Quinean metaontological theses concerning the way in which we make ontological commitments.