Proof A=A

[Purple Rabbit]

Shouldn't this be in the philosophy section???

I reckon it is not really a question, is it?

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A logical inference can be considered true only if supported by empirical evidence. [at least in my materialist,non dualist reality)

Logic is about inferring conclusions from premisses. So logic is a conceptual activitity performed in a formal language. Logic not necessarily applies to physical reality, i.e. there is no valid logical reasoning from the conceptual to reality. So logical inference cannot be verified from empirical evidence (there is no deductional route through reality) without assuming that reality obeys logical rules. But if you assume that reality necessarily obeys logical rules, verifying a logical inference from empirical evidence would be begging the question.