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         Logic And Set Theory:     more books (100)
  1. Problems in the theory of sets, Math. logic and theory. ALG-mov / Zadachi po teorii mnozhestv, mat. logike i teor. alg-mov by Maksimova L.L. Lavrov I.A., 2009
  2. Set Theory and Its Logic. Revised Edition by Willard Van Orman Quine, 1971
  3. Logic and Set Theory by Philip M. And Frank J. Avenoso Cheifetz, 1970
  4. Interval Neutrosophic Sets and Logic: Theory and Applications in Computing by Haibin Wang; Florentin Smarandache; Yan-Qing Zhang; Rajshekhar Sunderraman, 2005-05-31
  5. Logic and Set Theory with Applications by Avenoso, Delitsky Cheifetz, 2009
  6. Mathematical Logic: First-order logic, Set theory, Model theory, Recursion theory, Proof theory, Foundations of mathematics, Philosophy of mathematics, Formalism (mathematics), History of logic
  7. Logic and set theory: With an introduction to computer programming by Philip M Cheifetz, 1983
  8. Logic and set theory by Maurice D Weir, 1972
  9. Elements of Mathematical Logic and Set Theory by Slupecki J. L. Borkowski O. Wojtasiewicz Trans.,
  10. Computational Logic and Set Theory (Texts in Computer Science) by Jacob Schwartz, Eugenio Omodeo, et all 2005-05
  11. Elements of Mathematical Logic and Set Theory by J.; Borkowski, L. Slupecki, 1967
  12. Elements of mathematical logic and set theory by Jerzy Sl/upecki, 1967
  13. Logic and set theory: A programmed approach by Philip M Cheifetz, 1969
  14. Topology, logic and set theory I (Internal report) by Gary G Miller, 1988

61. Fuzzy Logic: What Is Fuzzy Logic?
Fuzzy set theory encompasses fuzzy logic, fuzzy arithmetic, fuzzy mathematical programming,fuzzy topology, fuzzy graph theory, and fuzzy data analysis, though
http://www.emsl.pnl.gov:2080/proj/neuron/fuzzy/what.html
    Many decision-making and problem-solving tasks are too complex to be understood quantitatively, however, people succeed by using knowledge that is imprecise rather than precise. Fuzzy set theory, originally introduced by Lotfi Zadeh in the 1960's, resembles human reasoning in its use of approximate information and uncertainty to generate decisions. It was specifically designed to mathematically represent uncertainty and vagueness and provide formalized tools for dealing with the imprecision intrinsic to many problems. By contrast, traditional computing demands precision down to each bit. Since knowledge can be expressed in a more natural by using fuzzy sets, many engineering and decision problems can be greatly simplified.
    Additional Introductory Material on Fuzzy Logic
    Links:
    represents a working link, represents a broken link, represents a verified dead link, and represents a closed link, as determined during the last link check on 1 June 1997 or by reported problems. represents a link added in the last 90 days (i.e., since 26 October 2000) Please help us keep this service useful by letting us know when you change your URLs.
    Sources:

62. MathPages: Set Theory And Foundations
set theory and Foundations. sets of Pure Order Zeno's Paradox of Motion Global Reversibilityof Cellular Automata Computation is Exclusive What is Fuzzy logic?
http://www.mathpages.com/home/ifoundat.htm
Set Theory and Foundations
Representing Sets of Pure Order
Zeno's Paradox of Motion

Global Reversibility of Cellular Automata

Computation is Exclusive
...
Math Pages Main Menu

63. Basics Of Fuzzy Logic And Fuzzy Set Theory
Basics of Fuzzy logic and Fuzzy set theory. The concept of fuzzy setand fuzzy logic were introduced by Zadeh Zadeh, 1965. Zadeh
http://www.ncst.ernet.in/kbcs/vivek/issues/11.1/sam/node2.html
Next: Neonatal Resuscitation Management: An Up: On Fuzzy Concepts in Previous: Introduction
Basics of Fuzzy Logic and Fuzzy Set Theory
  • for no membership;
  • for full membership;
  • for partial membership.
Having obtained the numerical representation of these linguistic terms, one has to define the set theoretic operations of union, intersection and complementation along with their logical counterparts of conjunction, disjunction and complementation as follows:
  • Union (logical OR)- the membership of an element in the union of two fuzzy sets is the larger of the memberships in these sets. (A OR B) = max((A), (B))
    e.g., (tall OR small) = max((tall), (small))
  • Intersection (logical AND)- the membership of an element in the intersection of two fuzzy sets is the smaller of the memberships in these sets. (A AND B) = min((A), (B))
    e.g., (tall AND small) = min((tall), (small))
  • Complement (logical NOT)- the degree of truth of the membership to the complement of the set is defined as (1 - membership). (NOT A) = 1 - (A)
    e.g., (NOT tall) = (1 - (tall))

64. Set Theory And Logic
Click to enlage set theory and logic Robert R. Stoll. Our Price, $16.95. AvailabilityIn Stock. (Usually ships in 24 to 48 hours). Format Book. ISBN 0486638294.
http://store.doverpublications.com/0486638294.html
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By Subject
Science and Mathematics Mathematics Set Theory
Set Theory and Logic
Robert R. Stoll Our Price Availability: In Stock
(Usually ships in 24 to 48 hours) Format: Book ISBN: Page Count: Dimensions: 5 5/8 x 8 1/4 Lucidly and gradually explains sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and first-order theories. Its clarity makes this book excellent for self-study.
Buy Now!

65. Abstract Algebra, Logic, Set Theory
Abstract Algebra, logic, set theory. MATH 403 Mathematical logic(3 credits) Rigorous treatment of propositional and firstorder
http://math.boisestate.edu/~grantham/common_course_draft_report/node13.html
Next: GeometryTopology, Number Up: Descriptions of Upper Previous: Descriptions of Upper
Abstract Algebra, Logic, Set Theory
MATH 403 Mathematical Logic (3 credits)
PREREQ: Varies: usually Discrete Mathematics plus at least one theoretical upper-division mathematics course.
MATH 407 Abstract Algebra I (3 credits)
Introduction to abstract algebraic systems, with primary emphasis on group theory: subgroups, permutation groups, normal subgroups, isomorphism and homomorphism, quotient groups. Introduction to rings and fields.
PREREQ: Varies; usually at least one prior course having an emphasis on proof.
MATH 408 Abstract Algebra II (3 credits)
Sylow theorems and solvable groups. Rings, subrings, ideals, quotient rings, rings of polynomials, factorization. Fields, field extensions, Galois theory.
PREREQ: Abstract Algebra I
MATH 409 Set Theory (3 credits)
An axiomatic treatment of set theory: axioms of ZF, cardinal and ordinal arithmetic, axiom of choice and its equivalents. Introduction to consistency and independence results and other axiomatizations as time allows.
PREREQ: Varies.

66. HOST - Higher Order Set Theory
HOST Higher Order set theory (for noframe browsers)
http://www.rbjones.com/rbjpub/logic/log034.htm
HOST - Higher Order Set Theory (for noframe browsers)

67. Rubriek: 31.10 Mathematics: Logic, Set Theory
DutchESS, Dutch Electronic Subject Service, Rubriek31.10 mathematics logic, set theory.
http://www.kb.nl/dutchess/31/10/
Rubriek: 31.10 mathematics: logic, set theory
Kurt Gödel Society Mathematical logic around the world / Boris Piwinger, University of Bonn Mathematical logic group, University of Vienna Institute of logic

68. Mathematical Logic At The University Of Bonn
pdffile); Koepke Modelle der Mengenlehre (Models of set theory) (PostScript-file)(dvi-file)(pdf-file). Events organized by members of the Bonn logic group.
http://www.math.uni-bonn.de/people/logic/
Mathematical Logic Group
Department of Mathematics
Fachgruppe Mathematik/Informatik

Mathematisch-Naturwissenschaftliche Fakultät

University of Bonn
Part of the Interdisciplinary Cooperation LOGiC in BOnN (LiB)
Informationen zum Studium der Mathematischen Logik in Bonn
Contact Address:
Mathematisches Institut
Be4Zi27 (Office Hours Mon-Thu 9-14, Fri 9-12)
D-53115 Bonn
Germany
Phone:
Fax:
+ 49 - 228 - 73 -7916 (please label the fax clearly with the name of the intended recipient)
Members ( Mitglieder und Angehörige

69. Mathematical Logic, Constructive Mathematics, Set Theory,
Mathematical logic.Category Science Math Institutions North America...... Mathematical logic, Constructive Mathematics, set theory, Recursion theory. math page grad page research page Karel Prikry
http://www.math.umn.edu/grad/areas/logic.html
Mathematical Logic, Constructive Mathematics, Set Theory, Recursion Theory
math page grad page research page gradprog@math.umn.edu www@math.umn.edu Director of Graduate Studies in Mathematics ((612) 625-1306)
127 Vincent Hall, 206 Church Street S.E.
Minneapolis, MN 55455 URL http://www.math.umn.edu/grad/areas/logic.html
The University of Minnesota is an equal opportunity educator and employer.

70. Www-rdf-logic@w3.org From May 2001: Set Theory (NBG)
org From John D. Ramsdell ramsdell@linus.mitre.org To WwwRdf-logic www-rdf-logic@w3.org CC ramsdell@linus.mitre.org Subject set theory (NBG) I am
http://lists.w3.org/Archives/Public/www-rdf-logic/2001May/0126.html
Set Theory (NBG)
From: John D. Ramsdell ( ramsdell@linus.mitre.org
Date: Thu, May 17 2001
  • Next message: Graham Klyne: "Re: The Mel99 semantics for RDF" Date: Thu, 17 May 2001 09:24:10 -0400 Message-Id: <200105171324.JAA18360@divan.mitre.org> From: "John D. Ramsdell" < ramsdell@linus.mitre.org > To: "Www-Rdf-Logic" < www-rdf-logic@w3.org ramsdell@linus.mitre.org Subject: Set Theory (NBG) I am puzzled by RDF's treatment of containers. It seems to me that RDF provides a way to talk about collections of objects without requiring that collections have the semantics one normally attaches to them. The standard practice in mathematics is to use set theory for that purpose, so why not restrict the models of RDF statements to those consistent with set theory? One could do this by allowing reasoning systems to assume the axioms of set theory. Von-Neumann-Bernays-Godel (NBG) set theory is well suited for this purpose. You can read more about NBG and mechanized mathematics in W. M. Farmer, "STMM: A Set Theory for Mechanized Mathematics", Journal of Automated Reasoning, 2000, Vol 26, No. 3, pp. 269-289, http://imps.mcmaster.ca/doc/stmm.pdf
  • 71. Www-rdf-logic@w3.org From May 2001: RE: Set Theory (NBG)
    Ziv Hellman ziv@unicorn.com To John D. Ramsdell ramsdell@linus.mitre.org , WwwRdf-logic www-rdf-logic@w3.org Subject RE set theory (NBG) I
    http://lists.w3.org/Archives/Public/www-rdf-logic/2001May/0133.html
    RE: Set Theory (NBG)
    From: Ziv Hellman ( ziv@unicorn.com
    Date: Thu, May 17 2001
  • Next message: Emery, Pat: "RE: What do the ontologists want" Date: Thu, 17 May 2001 18:35:42 +0200 Message-ID: <6194CD944604E94EB76F9A1A6D0EDD230E5544@calvin.unicorn.co.il> From: "Ziv Hellman" < ziv@unicorn.com > To: "John D. Ramsdell" < ramsdell@linus.mitre.org >, "Www-Rdf-Logic" < www-rdf-logic@w3.org > Subject: RE: Set Theory (NBG) > > > I am puzzled by RDF's treatment of containers. It seems to me that > RDF provides a way to talk about collections of objects without > requiring that collections have the semantics one normally attaches to > them. The standard practice in mathematics is to use set theory for > that purpose, so why not restrict the models of RDF statements to > those consistent with set theory? One could do this by allowing > reasoning systems to assume the axioms of set theory. > Von-Neumann-Bernays-Godel (NBG) set theory is well suited for this > purpose. You can read more about NBG and mechanized mathematics in > W. M. Farmer, "STMM: A Set Theory for Mechanized Mathematics", Journal > of Automated Reasoning, 2000, Vol 26, No. 3, pp. 269-289, >
  • 72. Wiley :: Introduction To Modern Set Theory
    By Keyword, Wiley Mathematics Statistics logic Foundations Introductionto Modern set theory. Related Subjects,
    http://www.wiley.com/cda/product/0,,0471635197|desc|2730,00.html
    Shopping Cart My Account Help Contact Us
    By Keyword By Title By Author By ISBN By ISSN Wiley Introduction to Modern Set Theory Related Subjects
    Number Theory

    Numerical Methods

    Special Topics in Mathematics

    General Statistics

    Related Titles
    Logic of Mathematics: A Modern Course of Classical Logic (Hardcover)

    How to Read and Do Proofs: An Introduction to Mathematical Thought Processes, 3rd Edition (Paperback)

    Daniel Solow
    Learning to Reason: An Introduction to Logic, Sets, and Relations (Hardcover)
    Nancy Rodgers The Art and Craft of Problem Solving (Hardcover) Paul Zeitz Mathematical Discovery, Combined (Paperback) George Polya Introduction to Modern Set Theory Judith Roitman ISBN: 0-471-63519-7 Hardcover 176 Pages January 1990 US $115.00 Add to Cart Description Table of Contents This is modern set theory from the ground upfrom partial orderings and well-ordered sets to models, infinite cobinatorics and large cardinals. The approach is unique, providing rigorous treatment of basic set-theoretic methods, while integrating advanced material such as independence results, throughout. The presentation incorporates much interesting historical material and no background in mathematical logic is assumed. Treatment is self-contained, featuring theorem proofs supported by diagrams, examples and exercises. Includes applications of set theory to other branches of mathematics.

    73. Mathematical Logic At Penn State
    Mathematical logic.Category Science Math Institutions North America...... set theory. Thomas Jech. Professor of Mathematics, Retired. set theory. RichardMansfield. Associate Professor of Mathematics, Retired. logic. Carl Mummert.
    http://www.math.psu.edu/simpson/Logic.html

    74. Mathematical And Computational Logic Research Group
    Mathematical and Computational logic Research Group.Category Science Math logic and Foundations Institutions...... The mathematical and computational logic group at BGU conducts research in settheory, model theory, general topology, Boolean algebras and, in theoretical
    http://www.cs.bgu.ac.il/~kojman/BGULOGIC.html
    BEN GURION UNIVERSITY OF THE NEGEV
    Mathematical and Computational Logic Research Group
    Set Theory and Topology February 20
    a 1-day conference around the visit of Professor Istvan Juhasz.
    The Shelah Festival, May 20-25
    The mathematical and computational logic group at BGU conducts research in set theory, model theory, general topology, Boolean algebras and, in theoretical computer science, concurrency, logic programming and lambda calculus.
    Uri Abraham

    PhD: The Hebrew University at Jerusalem, 1979
    Main Research Interests: set theory, forcing and preservation theorems.
    In computer science: concurrency, self stabilization.
    E-mail: abraham@cs.bgu.ac.il Evgenia Ackermann
    PhD: The Hebrew University at Jerusalem 1992
    Main Research Interests: model theory, geometric model theory, algebraic geometry.
    E-mail: evgenia@cs.bgu.ac.il Michael Codish
    PhD: The Weizmann Institute of Science, 1991
    Logic Programming - a programming paradigm based on the Horn subset of first order logic. Abstract Interpretation - A formal Semantics based technique to reason about program properties and runtime behaviours.

    75. Set Theory
    next up previous Next Recursion theory Up References PreviousFirstorder logic set theory. 1. Kunen, set theory 2. Jech, set
    http://math.dartmouth.edu/graduate-students/syllabi/graduate-syllabi/logic/node6
    Next: Recursion Theory Up: References Previous: First-order logic
    Set Theory
    Kunen, Set Theory
    Jech, Set Theory
    Roitman, Introduction to Modern Set Theory

    root

    76. Logic/Set Theory
    logic/set theory. Robert S. Rumely Professor ,Ph.D.Princeton,1978,Decidability of arithmetic theories. Modeltheoretic algebra.
    http://www.math.uga.edu/~grad/html-gradcore/node17.html
    Next: Mathematics of Computation Up: The Faculty Previous: Lie Theory/Representation Theory
    Logic/Set Theory
    Robert S. Rumely
    Professor ,Ph.D.Princeton,1978, Decidability of arithmetic theories. Model-theoretic algebra.

    77. LO Logic
    New articles, cross listings, and revisions of published LO logic articles, available in Adobe PDF format.
    http://front.math.ucdavis.edu/math.LO
    Tue 18 Mar 2003 Search Submit Retrieve Subscribe ... iFAQ
    LO Logic
    Calendar Search
    Authors: All AB CDE FGH ... U-Z
    New articles (last 12)
    10 Mar math.LO/0303089 Core models in the presence of Woodin cardinals. Ralf Schindler . 6 pages. LO
    4 Mar math.LO/0303030 Complexity and ordinary life, and some mathematics in both. Stephen Semmes . 8 pages. LO
    4 Mar math.LO/0303011 Characterization of the Axiomatizable Prenex Fragments of First-Order Goedel Logics. Matthias Baaz , Norbert Preining , Richard Zach . 6 pages. LO
    4 Mar math.LO/0303005 A Note on the Set-Theoretic Representation of Arbitrary Lattices. K. Dosen (Mathematical Institute, Belgrade). 3 pages. MI-1999X. LO
    28 Jan math.LO/0301317 Locality for Classical Logic. Kai Bruennler LO
    Cross-listings
    18 Mar math.AG/0303206 Elements of Nonstandard Algebraic Geometry. Caucher Birkar . 20 pages. AG LO
    6 Mar math.GN/0303057 SPM Bulletin 3. Boaz Tsaban GN CO LO
    27 Feb math.GN/0302322 The combinatorics of Borel covers. Marion Scheepers , Boaz Tsaban . 32 pages. Topology and its Applications GN CA CO LO
    26 Feb math.CO/0302307 A hybrid constraint programming and semidefinite programming approach for the stable set problem. W. J.

    78. ASL LOGIC COLLOQUIUM 1995, Home Page
    Haifa, Israel; 917 August 1995.Category Science Math Meetings logic Colloquium......Poster and credits for picture . ASL logic COLLOQUIUM 1995. TechnionIsrael Instituteof Technology and University of Haifa Haifa, Israel, August 9-17, 1995.
    http://www.cs.technion.ac.il/~logic95/
    Larger Picture....
    Poster and credits for picture....
    ASL LOGIC COLLOQUIUM 1995
    Technion-Israel Institute of Technology and University of Haifa
    Haifa, Israel, August 9-17, 1995
    E-mail: logic95@cs.technion.ac.il
    Proceedings Information
    Contains information concerning the progress of publication of the proceedings.
    Program Information
    Topics and Special Sessions: Information on Tutorials, Invited Speakers, Special Sessions and accepted contributed papers.
    Program and Organizing Committee

    79. Www.math.ufl.edu/~logic/

    http://www.math.ufl.edu/~logic/

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