 New Foundations  Randall Holmes; Boise State University
Set theory was introduced by W. V. O. Quine in 1937. This refinement of Russell's theory of types is based on the observation that the types in Russell's theory look the same, as far as one can apparently prove. Mailing list; links to fans; Definition;
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 Nonstandard Analysis and the Hyperreals  Jordi Gutierrez Hermoso; Math Forum, Ask Dr. Math FAQ
An essay introducing the most basic ideas of nonstandard analysis and the hyperreal number system. Contents: A Very Brief History of AlmostNothing and MorethanEverything; The Hyperreal WishList; Construction of the hyperreal numbers; Hyperreal arithmetic;
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 Number: What Is "How Many"?  B. Sidney Smith; Math Academy Online/Platonic Realms
A "minitext" introducing fundamental concepts in elementary number theory and the foundations of mathematics. Includes discussions of basic set theory; natural numbers; integers; rational, irrational, and real numbers. Also gives a brief list of suggested
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 Online Math Help & Learning Resources
Learn basic concepts behind arithmetic, algebra, geometry, statistics and set theory. Includes some SAT test preparation help, math games, math worksheets, math riddles, math quotes, math mnemonics and math trivia.
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 Online Resources  Georgia Tech School of Math
Syllabi, course notes, problems, and Maple worksheets for single and multivariable calculus, linear algebra, statistics, and a Math for Management course (statistics, probability, sets, and some calculus). The site also contains sample exams for calculus
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 Order  Kluwer Online
A journal on the theory of ordered sets and its applications. Order occurs throughout mathematics and especially in algebra, combinatorics, geometry, model theory, set theory and topology.
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 Oscience.info  Subash Chandra
Introductions to limits and continuity, derivatives and antiderivatives, functions and graphs, matrices and determinants, properties of triangles, set theory, basic trigonometric formulae, and trigonometric functions and identities. See also Oscience's
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 Papers  A. R. D. Mathias
Downloadable papers in DVI PostScript format: a piece on Bourbaki; a piece on Stalin; a long piece on Mac Lane set theory; a short piece on Zermelo set theory; a recent piece on Strong Statements of Analysis; and three other papers, appdyn97, delays97
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 Pattern  Drew, Wallace; Mathematics Across the Curriculum, Dartmouth College
An interdisciplinary course in textile design and elementary group theory. Syllabus, course pages (notes, figures, questions, group work and homework), final project and class artworks from a 1996 math and art crosscurricular class at Dartmouth College.
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 Printable Math Worksheets  Homework for Kids
Practice worksheets, most with randomly generated problems, on the following topics: learning numbers, addition and subtraction, multiplication and division, fractions, decimals, time, measurements, perimeter, area and volume, integers, set theory, equations,
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 Programming with Sets  Dept. of Computer Science, New Mexico State University
Using settheoretic primitives as a conceptual tool in programming. Includes a discussion of the SETL and MIRANDA languages. Setoriented programming means thinking and designing programs with set data abstractions in mind, trying to really exploit all
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 Reference Notes  Department of Mathematics, Cal. State U. San Bernardino (CSUSB)
Notes on set theory, symbolic logic, methods of proof, basic proofs, functions, relations, binary operations, and groups. Also, Math Tools for practicing modular arithmetic and truth tables, or for solving Diophantine equations. Search the Notes, or scan
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 Resources for Tan's Applied Finite Mathematics  S.T. Tan; Brooks/Cole Publishing Company
Chapterbychapter exercises, practice quizzes, practice tests, suggested group projects, review questions, and other sample resource materials for students and instructors using Tan's Applied Finite Mathematics, Fifth Edition. Also, stepbystep instructions
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 The Set Game Company  Set Enterprises Inc.
SetGame is a family game of visual perception. Take the Java tutorial; learn the math behind the game (create a 3x3 magic square with SET cards, learn why the largest possible "no set" contains 20 cards, explore set theory and set operations involved
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 Set Theoretic Analysis (Topology Atlas)  Krzysztof Chris Ciesielski, Editor
An interactive encyclopedic reference for Set Theoretic Analysis, with most current research available immediately through the web and ftpcapabilities of the Topology Atlas. Contents: What is Set Theoretic Analysis?; What's new; Surveys; Preprints;
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 Set Theory and Foundations (MathPages)  Kevin Brown
About 30 "informal notes" by Kevin Brown on set theory and foundations: what is fuzzy logic, fractal logic, Cantor's diagonal proof, are all triangles isosceles?, on Gauss's mountains, problems with the luminiferous aether, and many more.
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 Set Theory  Jean A. Larson; Dept. of Mathematics, Univ. of Florida
Links to home pages of set theorists.
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 Set Theory Page  Luis E. Sanchis; Syracuse University
A collection of links to sites on the Web related to set theory.
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 A Survey of Venn Diagrams  Frank Ruskey; Dept. of Computer Science, Univ. of Victoria, B.C., Canada
Facts and figures about Venn diagrams, particularly as they relate to combinatorial properties of the diagrams: Who was John Venn? What is a Venn diagram? Formal definition of Venn diagrams; General constructions of Venn diagrams. Also Graphs associated
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 Tap Into Teen Minds  Kyle Pearce
"Transforming mathematics education in an iPad paperless classroom." Posts, which date back to September, 2011, have included "Apple TV In The Classroom – The New Smart Board," "OAME Tap Into Teen Minds Educational Technology Presentation," "Problem Solving
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 ThatQuiz  Andrew Lyczak
Practice integer and fraction arithmetic, inequalities, averages, exponents, factors, algebra, calculus, shapes, probability, place value, graphs, sets, trigonometry, and more. The site times and scores performance. Register for online administration
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 Title III MSS Final Performance Report  Dana Lee Ling
Dana Lee Ling is a mathematics and science software specialist at the College of MicronesiaFSM. Articles document the College's attempts to increase the success of prealgebra and algebra students through "conceptual" and technologybased approaches.
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 Understanding Mathematics: A study guide  Peter Alfeld, University of Utah
A resource and source of encouragement, with questions and Alfeld's comments (Are you frustrated working through heaps of meaningless problems that are all alike? Does the thought "I can look it up if I have to" occur to you frequently? Do you feel that
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 VisualMath  G. Fonthal, VisualPhysics
Math shareware programs that feature visual and interactive techniques under Windows 95 may be downloaded from this site: for numbers (real, complex, binary); set theory (Venn diagrams); geometry (shapes and areas, 3D Geometry); algebra (equations, polynomials,
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 Visual Modelling Group  University of Brighton
This research group focuses on giving formal semantics to existing notations, developing new visual notations, and reasoning with them. The Visual Modelling Group has developed a constraint diagram notation that visually expresses mathematical constraints
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 What is Mathematics: Goedel's Theorem and Around  Karlis Podnieks
An extended translation of Podnieks' book, published in 1992 in Russian. Contents include: Platonism, intuition and the nature of mathematics; Axiomatic set theory; First order arithmetic; Hilbert's Tenth problem; Incompleteness theorems; Around Goedel's
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