Difference between revisions of "Fallacious proof/all horses are the same color"

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Revision as of 12:16, 3 August 2006

Our base case is not the appropriate base case: if one could show that every pair of horses has the same color (the result for $n = 2$), the fact that all horses have the same color would follow. Unfortunately, the case $n = 2$ does not follow from the case $n = 1$.