Geometry.Net - Pure_And_Applied_Math: Logic And Set Theory

Mathematics Archives - Topics In Mathematics - Logic & Set Theory
Category of Topics in Mathematics (MathArchives).Category Science Math Logic and Foundations DirectoriesMath Archives Homepage, Topics in Mathematics. Logic Set Theory. KEYWORDS Proofsin logic and set theory, ZFC (ZermeloFraenkel with Choice) set theory;
http://archives.math.utk.edu/topics/logic.html
Logic And Set Theory Organizations
Find numerous listings for logic and set theory organizations, groups, conferences, and seminars worldwide.
http://www.math.ufl.edu/~jal/orgs.html
An Elementary Introduction To Logic And Set Theory: Table Of Contents
An Elementary Introduction to logic and set theory. I. Overview. II. SententialLogic Propositions. Negation. Disjunction. Conjunction. Conditional. Biconditional.
http://www.madison.tec.wi.us/alehnen/weblogic/logcont.htm
Martin Flashman's Logic And Set Theory Web Surfing Page
Martin Flashman's logic and set theory Web Surfing Page. for logic and settheory that parallel Hamilton's textbook Logic for Mathematicians.
http://www.humboldt.edu/~mef2/logicsites.html

Extractions: Please send suggestions for improvements and comments to Martin Flashman E-Mail: flashman@axe.humboldt.edu Logic: Mathematical Logic around the world Association for Symbolic Logic LogicAL: An excellent resource for links. Gateway to Logic Some excellent logic software on-line from Germany. A. Selby's home page:much interesting stuff on education, logic, algebra, and more. Situation Puzzles Proofs in Mathematics (YES!!) Mathematics as a language ... Mathematical Logic. Around Goedel's Theorem. By K.Podnieks two hyper-textbooks in mathematical logic including an Introduction to Mathematical Logic. ... MATHS 315 Mathematical Logic (University of Aukland) Handouts etc. for logic and set theory that parallel Hamilton's textbook Logic for Mathematicians.
UCLA Math: Logic And Set Theory
tradition of research in mathematical logic and set theory, both in the Mathematics Department and in the Department of
http://www.math.ucla.edu/grad_programs/faculty/research_areas/logic.html

Extractions: UCLA has a strong tradition of research in mathematical logic and set theory, both in the Mathematics Department and in the Department of Philosophy. A special aspect of our strength in this field is the close collaboration with Caltech (see the item on the joint Caltech seminar below). Although the interests of our logicians are broad and touch on most of the research areas in the foundation of mathematics, the emphasis in recent years has been in recursion theory (including its applications to mathematical computer science), classical set theory, and descriptive set theory. Regular Faculty The Caltech-UCLA Logic Seminar (Math 286D) meets every Friday generally at UCLA or at Caltech and provides an opportunity for faculty and advanced students from both schools to study the most exciting new results in the field and to present and discuss their own research. Reflecting the research interests of the participants, during the last four years, the seminar has concentrated on descriptive set theory, large cardinals, and abstract recursion theory. Regular publication of its proceedings started with Cabal Seminar 76-77 Springer Lecture Notes No. 689. During the academic year, every other Friday at 4:00 p.m., an invited speaker (usually from out of town) gives an hour talk for the
Assignments For Logic And Set Theory
Assignments for logic and set theory 1. In the following compound propositionsthere are two simple propositions connected by a conditional.
http://www.madison.tec.wi.us/alehnen/logicasn/prologic.html

Extractions: Assignments for Logic and Set Theory 1. In the following compound propositions there are two simple propositions connected by a conditional. Indicate for each pair of simple propositions which proposition is the necessary condition for the other and which proposition is the sufficient condition for the other. a) If I pass my algebra class I'm done taking math. b) Unless the engine is overhauled the car won't run. c) Without gas in the tank the car won't run. d) Henry won't go to school unless he feels better. 2. Each proposition below is followed by a list of statements. Indicate which of the statements are syntactically equivalent to the original proposition. a) If the weather doesn't improve the game is cancelled. i) If the weather improves the game won't be cancelled. ii) If the game is cancelled the weather does not improve. iii) If the game is not cancelled the weather does improve. iv) Unless the weather improves the game is cancelled. v) Unless the game is cancelled the weather improves. vi) The weather improves or the game is cancelled.
Math Forum - Ask Dr. Math Archives: College Logic/Set Theory
Browse College logic and set theory. Stars indicate particularly interestinganswers or good places to begin browsing. Cantor, Peano
http://mathforum.org/library/drmath/sets/college_logic.html
About "Logic And Set Theory (Mathematics Archives)"
logic and set theory (Mathematics Archives). Library Home FullTable of Contents Suggest a Link Library Help Visit this
http://mathforum.org/library/view/17213.html

Extractions: Visit this site: http://archives.math.utk.edu/topics/logic.html Author: University of Tennessee, Knoxville (UTK) Description: An extensive list of links to sites with information about logic and set theory, classified by level and type of resource. Levels: College Research Languages: English Resource Types: Link Listings Math Topics: Logic/Foundations Set Theory
Kosmoi: Logic And Set Theory
Featured Bestselling Books logic and set theory.
http://kosmoi.com/Science/Mathematics/Logic/

Extractions: Mathematics Philosophy Science Nature Agriculture Animals Biology ... How to Read and Do Proofs : An Introduction to Mathematical Thought Processes Daniel Solow Infinity and the Mind Rudy Rucker The Nuts and Bolts of Proofs Antonella Cupillari Naive Set Theory Paul R. Halmos A First Course in Fuzzy Logic, Second Edition Hung T. Nguyen, Elbert A. Walker Set Theory and Logic Robert R. Stoll Mathematical Proofs: A Transition to Advanced Mathematics Gary Chartrand, Albert D. Polimeni, Ping Zhang Axiomatic Set Theory Patrick Colonel Suppes Proofs and Fundamentals: A First Course in Abstract Mathematics Ethan D. Bloch Fine Structure and Class Forcing (De Gruyter Series in Logic and Its Applications, 4) Sy D. Friedman A set is any collection of unique objects, called elements The kinds of elements that can be taken as members of a set is, in general, unrestricted (Bertrand Russell pointed out that a complete lack of restriction can lead to paradoxes). We describe a set explicitly by enumerating its members, thus: This set contains five members; its
Lectures In Logic And Set Theory - Cambridge University Press
Home Catalogue Lectures in logic and set theory. Related Areas Lecturesin logic and set theory. Volume 2 , Set Theory. George Tourlakis. £65.00.
http://books.cambridge.org/0521753740.htm

Extractions: Pure Mathematics Volume 2 , Set Theory In stock This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained chapter 0 on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godels constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing. Download sample chapter Information about the Author 1. A bit of logic: a users toolbox. 2. The set-theoretic universe, naively; 3. The axioms of set theory; 4. The axiom of choice; 5. The natural numbers; transitive closure; 6. Order; 7. Cardinality; 8. Forcing.
Lectures In Logic And Set Theory - Cambridge University Press
Home Catalogue Lectures in logic and set theory. Related Areas Lectures inlogic and set theory. Volume 1 , Mathematical Logic. George Tourlakis. £47.50.
http://books.cambridge.org/0521753732.htm

Extractions: Pure Mathematics Volume 1 , Mathematical Logic In stock This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume I includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godels 2nd incompleteness since Hilbert and Bernays Grundlagen theorem. Download sample chapter Information about the Author 1. Basic logic; 2. The second incompleteness theorem.
80.07.04: Logic And Set Theory
logic and set theory. by Richard Canalor. to top. Conclusion. The languageof logic and set theory is not merely about statements in a textbook.
http://www.yale.edu/ynhti/curriculum/units/1980/7/80.07.04.x.html

Extractions: Richard Canalor The following unit is designed to offer teachers and children a chance to explore what may be to them a different area of Finite Mathematics. While in no way does the unit cover the entire fields of Set Theory and Logic, it does, I hope, offer an introduction to the basic concepts, symbols and importance of these two fields of Mathematics. As you will see, Set Theory and Logic are related and have therefore been combined for the content of this unit. The unit is approximately two weeks in length and is intended for grade 6,7, or 8 although both length and grade level may vary. We will begin with a short Pretest. The purpose of the pretest is twofold. On one hand it will give some barometer of success (there will be a posttest) and hopefully the pretest will foster discussion and motivate children to want to hear more. 1. There were 20 people at a party. Thirteen had coke, 7 had sandwiches, 5 had both. How many did not eat or drink?
Guide Entry 80.07.04
logic and set theory, by Richard N. Canalori. logic and set theory will aid studentsin proving the equivalence of statements as well as in solving problems.
http://www.yale.edu/ynhti/curriculum/guides/1980/7/80.07.04.x.html

Extractions: Yale-New Haven Teachers Institute Home Logic and Set Theory, by Richard N. Canalori Logic and Set Theory is designed to offer teachers and children a chance to explore what may be to them a different area of Finite Mathematics. The unit offers an introduction to the basic concepts and symbols of Logic and Set Theory and provides exercises in these two areas. Problem solving in all areas of mathematics requires the ability to reason and to form valid conclusions. Logic and Set theory will aid students in proving the equivalence of statements as well as in solving problems. Some of the ideas introduced in the unit include types of statements, truth tables, and Venn Diagrams, as well as the language of Logic and Set Theory. (Recommended for 6th through 12th grade Mathematics.) Key Words
1. Logic And Set Theory
1. logic and set theory. 1.1 Local equivalents of the Axiom of Choice.The famous equivalence of the Axiom of Choice and the WellOrder
http://www.maths.ox.ac.uk/teaching/ug-projects/html/project-ideas/node2.html

Extractions: Subsections The famous equivalence of the Axiom of Choice and the Well-Order Principle can be proved `locally': a set has a choice function if and only if is well orderable. When we come to examine the equivalence of the Axiom of Choice with other assertions of Set Theory we often find that mismatches appear in the local versions. In Zorn's Lemma, for example, if has a choice function then in every inductive partial ordering on there are maximal elements; on the other hand, the usual argument requires that there should be maximal elements in every inductive partial ordering of the power set of to yield that there is a choice function on . Investigate such `gaps' in local equivalents of the Axiom of choice. The system of real numbers may be defined as a complete linearly ordered field. What this is may be defined in many ways. In particular, many different versions of the completeness axiom have been proposed and used. Collect, compare and contrast these various theories.
Combinatorics, Geometry, Logic And Set Theory Research Group, Univ. Of Calgary
Mathematical logic and foundations. Claude Laflamme. 03E35, 03E05. Consistency andindependence results; Descriptive set theory. Mathematical logic and foundations.
http://www.math.ucalgary.ca/~cunning/combin.html

Extractions: Research at the Department of Mathematics Research category Researcher AMS subject classification Research topics Mathematical logic and foundations Claude Laflamme Consistency and independence results; Descriptive set theory Mathematical logic and foundations Norbert Sauer Partition relations; Quantifier elimination, model completeness and related topic; Other classical set theory (including functions, relations, and set algebra); Model theory Mathematical logic and foundations Robert Woodrow Basic properties of first-order languages and structures; Denumerable structures; Properties of classes of models Combinatorics Ted Bisztriczky Matroids, geometric lattices. Combinatorics Aiden Bruen Finite geometries Combinatorics Richard Guy Enumerative combinatorics; Factorials, binomial coefficients, combinatorial functions; Exact enumeration problems, generating functions Combinatorics Karen Seyffarth Factorization, matching, covering and packing; Paths and cycles; Applications; Extremal problems; Topological graph theory, imbedding; Distance in graphs Combinatorics Bill Sands Paths and cycles; Combinatorial choice problems (subsets, representatives, permutations); Graph algorithms; Connectivity
Logic And Set Theory
Ben Gurion University of the Negev. Mathematics Department. INTRODUCTION TO LOGICAND SET THEORY. Course number 20110201, Winter Semester 2001/2002. Lecturers.
http://www.math.bgu.ac.il/~efrat/logic.html

Extractions: Dr. Ivgenya Ackermann Prof. Ido Efrat Dr. Ruvim Lipyansky Amir Gurion Victoria Lubitch Yona Meisel Sets, set operations, relations, equivalence relations and partitions, partial and total orderings, the natural numbers, induction principles, functions Truth tables, truth values, logical equivalence, disjunctive normal forms, complete connector systems Its language, formulas, structures, satisfaction, normal forms, definability, isomorphisms of structures
Logic And Set Theory
Ben Gurion University of the Negev. Mathematics Department. INTRODUCTION TO LOGICAND SET THEORY. Course number 20110201, Winter Semester 2000/1. Lecturers.
http://www.math.bgu.ac.il/~efrat/logic2000.html

Extractions: Dr. Ivgenya Ackermann Prof. Ido Efrat Dr. Rubim Lipyanski Yona Maisel Hen Dubi Victoria Lubitch Sets, Set operations, relations, equivalence relations and partitions, functions, induction principles, partial and total orderings Truth tables, truth values, logical equivalence, disjunctive normal forms, complete connector systems Its language, formulas, structures, satisfaction, normal forms, definability, isomorphisms of structures
Mathematica Information Center: Packages For Logic And Set Theory
Packages for logic and set theory, boolean logic, set theory, pure mathematics,applied mathematics, associated boolean rings, the Mathematica Journal V2.1,
http://library.wolfram.com/database/MathSource/694/
Volume 7 January - December 1997
Modal deduction in secondorder logic and set theory - I. ABSTRACT. We investigatemodal deduction through translation into standard logic and set theory.
http://www3.oup.co.uk/logcom/hdb/Volume_07/Issue_02/070251.sgm.abs.html

Extractions: J van Benthem G D'Agostino A Montanari and A Policriti ILLC, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam The Netherlands and Dipartimento di Matematica e Informatica, Unversita di Udine, Via delle Scienze 206, 33100 Udine Italy ABSTRACT We investigate modal deduction through translation into standard logic and set theory. In a previous paper, using a set-theoretic translation method, we proved that derivability in the minimal modal logic K s corresponds precisely to derivability in a weak, computationally attractive set theory [Omega]. In this paper, this approach is shown equivalent to working with standard first-order translations of modal formulae in a theory of general frames. The employed techniques are mainly model-theoretic and set-theoretic, and they admit extensions to richer languages and modal deductive systems than that of basic modal logic. Some of these extensions are discussed in the last part of the paper. Keywords: Modal logic, modal deduction, translation methods, set theory, second-order logic
Kosmoi: Logic And Set Theory
logic and set theory. Featured Bestselling Books logic and set theory.
http://encyclozine.com/Science/Mathematics/Logic

Extractions: Mathematics Philosophy Science Artzia Arts Fantasy History ... How to Read and Do Proofs : An Introduction to Mathematical Thought Processes Daniel Solow Infinity and the Mind Rudy Rucker The Nuts and Bolts of Proofs Antonella Cupillari Naive Set Theory Paul R. Halmos A First Course in Fuzzy Logic, Second Edition Hung T. Nguyen, Elbert A. Walker Set Theory and Logic Robert R. Stoll Mathematical Proofs: A Transition to Advanced Mathematics Gary Chartrand, Albert D. Polimeni, Ping Zhang Axiomatic Set Theory Patrick Colonel Suppes Proofs and Fundamentals: A First Course in Abstract Mathematics Ethan D. Bloch Fine Structure and Class Forcing (De Gruyter Series in Logic and Its Applications, 4) Sy D. Friedman A set is any collection of unique objects, called elements The kinds of elements that can be taken as members of a set is, in general, unrestricted (Bertrand Russell pointed out that a complete lack of restriction can lead to paradoxes). We describe a set explicitly by enumerating its members, thus: This set contains five members; its

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