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The origins of algebra
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abacus Achilles algebra Arabic argument balls Boole called century chance events circuit colours column concept conclusion Consider corresponding diagonal disjunction draw edge cube elements empty set equal Erno Rubik Euler example exclusive disjunction expression figure finite four geometry George Boole given 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 objects odd number original number paradoxes player position probability theory problem produce propositional calculus puzzle Pythagoras Pythagoreans represent Rubik's cube sample space segment set theory shown in Fig side solution strip subtract switch symbols Take theorem throw tion Today is Saturday topology tortoise triangle true or false truth-table truth-values valid Venn diagrams vertex vertices zero