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All horses are the same color
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All horses are the same color : ウィキペディア英語版
All horses are the same color

The horse paradox is a falsidical paradox that arises from flawed demonstrations, which purport to use mathematical induction, of the statement ''All horses are the same color''. There is no actual contradiction, as these arguments have a crucial flaw that makes them incorrect. This example was originally raised by George Pólya. The paradox was also used by Joel E. Cohen as an example of the subtle errors that can occur in attempts to prove statements by induction.〔. Reprinted in ''A Random Walk in Science'' (R. L. Weber, ed.), Crane, Russak & Co., 1973.〕
== The argument ==
The argument is proof by induction. First we establish a base case for one horse (n=1). We then prove that if n horses have the same color, then n+1 horses must also have the same color.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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