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Achilles algebra Arabic argument balls Boole calculations called century chance events circuit colours column concept conclusion Consider construct corresponding diagonal disjunction draw edge cube elements empty set equal Euler example exclusive disjunction expression finite four geometry George Boole given graph Greek Hence implication indicates integers intersection intuition knots language Leibniz linked magic squares mathe mathematical logic mathematicians matical maze means ments Mobius ring move multiply natural numbers number of coins odd number operations original number paradoxes player position positional notation probability probability theory problem produce propositional calculus puzzle Pythagoras Pythagoreans represent Rubik Rubik's cube sample space segment shown in Fig side simple solution subtract switch symbols Take theorem theory throw tion Today is Saturday topology tortoise triangle trick true or false truth-table truth-values valid Venn diagrams vertex vertices Zeno's Zeno's paradoxes zero