How Voting Is Like a Klein Bottle
Kaynak: Metafilter ·
In 1785, the French mathematician and philosopher Nicolas de Condorcet discovered that a majority can sometimes vote itself into a logical loop. In elections with three or more candidates, each voter might rank the candidates in a perfectly clear and consistent way — yet when all the votes are tallied, every candidate loses in a head-to-head contest against one of their rivals. Now three researchers have shown that Condorcet's 240-year-old paradox has a shape, and it's suitably peculiar: a Klein bottle, a surface with no distinct inside or outside.
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How Voting Is Like a Klein Bottle, Web sitesi kategorisinde yer alan ve Metafilter üzerinden sunulan bir keşiftir. In 1785, the French mathematician and philosopher Nicolas de Condorcet discovered that a majority can sometimes vote itself into a logical loop. In elections with three or more can
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