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Student_UK comments on What does your web of beliefs look like, as of today? - Less Wrong
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"The normativity of logic is: “If you want to be speaking the same language as everyone else, don’t say things like ‘The ball is all green and all blue at the same time in the same way.’”"
You surely don't mean this: everyone one else is logical, why not me?
For a start, is everyone else logical? And even if they are, is that the best justification we have for logic?
I don't understand your question.
Logic begins with a chosen set of axioms, and they're not the only axioms you could choose as the basis of a formal system. If you reject the axioms, I can't condemn you for failing a categorical imperative. Instead, I'll just note that you're not talking the same language as the rest of us are.