Awesomelyglorious wrote:
Umm.... I don't think that most people who argue against logic really are going to argue for mathematics much. Especially given that the foundations of mathematics are likely more questionable than the foundations of logical analysis. As it stands, we cannot know all of the right math in the universe.
As for your argument, on ranked numbers, it is fallacious. Rock beats scissors, scissors beats paper, does not mean that rock beats paper. Instead, rock beats scissors. All that one has to do is claim that some issue gets in the way of the transitivity.
All of that being said, danlo, you cannot put forward an argument that logic is correct or that logical truths are absolute/non-relative. The entire affair would beg the question.
You're right. How can anyone argue for logic, without presenting a logical argument, to someone who doesn't believe in logic? It's like trying to explain science to someone who believes in magic. However, I would like to say that equating a number logic with a ranking system based on invented rules is quite absurd. To say that if 1 is less than 2, and if 2 is less than 3, then 1 is less than 3, is not the same as saying 1 'beats' 2, 2 'beats' 3, so 1 'beats' 3.
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