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Old 01-03-2012, 03:19 PM
The Hamster King The Hamster King is offline
Join Date: Jun 2000
Location: Los Angeles
Posts: 10,138
Originally Posted by whc.03grady View Post
If a bunch of (or even all) cavemen thought, "If a=b, and b=c, a≠c," that wouldn't mean the principles of cavemen reasoning were different than ours, or that reasoning operated differently 20,000 years ago. It would just show that a bunch of cavemen were wrong about transitivity.
No, it would simply mean they had chosen a mathematics in which the transitive property of equality doesn't hold. Such a mathematics wouldn't be much use if they were trying to use it for counting woolly mammoths, but it wouldn't be "wrong".