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 TOPICS This page:   logic    Search   Dr. Math See also the Dr. Math FAQ:   false proofs,   classic fallacies and   liars, truthtellers and   proofs Internet Library:   logic HIGH SCHOOL About Math Analysis Algebra    basic algebra    equations/graphs/      translations    linear algebra    linear equations    polynomials Calculus Complex Numbers Calculators/    Computers Definitions Discrete Math    permutations/    combinations Exponents    Logarithms Fibonacci Sequence/   Golden Ratio Fractals Functions Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean    practical geometry    symmetry/tessellations History/Biography Interest Logic Negative Numbers Number Theory Physics/Chemistry Probability Projects Puzzles Sequences/Series Sets Square/Cube Roots Statistics Transcendental   Numbers Trigonometry Browse High School Logic Stars indicate particularly interesting answers or good places to begin browsing. Selected answers to common questions:     Venn diagrams. Why p and q? [11/29/2001] We are wondering why the letters p and q are used to abbreviate statements. Why Straightedge and Compass Only? [10/02/2002] My geometry students want to know why constructions can only be done using a straightedge and a compass. Why the Motionless Runner Parodox Fails [01/01/2005] I read about the Motionless Runner paradox on your site, and I am now convinced that motion is an illusion. Can you help me understand why the paradox can't be true? XOR Operation [01/23/2001] An explanation and a few examples of the XOR operation. Zeno's Paradox [10/19/1995] At eleven o'clock I put ten balls numbered 1,2, ...10 in a box and immediately take out the ball numbered 1. At eleven thirty I put balls numbered 11 through 20 into the box and take out the ball numbered 2. At eleven forty-five I put balls numbered 21 through 30 into the box and take out the ball numbered 3. This continues at time intervals that are half of the preceding one. How many balls are in the box at twelve o'clock? Page: [

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