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 Originally Posted by MadMojoMonkey
I hope a computer AI comes along and reminds us that we're fucking retarded because our most precious tool for problem-solving (logic) is based on illogical assumptions. Fat chance, given our current logic-based systems being quite usefully in agreement with each other. If only non-logical systems were deterministic!
I mean... from a human perspective, it seems that the "good" of logic as a thinking tool is self-evident...
However, the logician in me says that's a weak-ass statement, that is not founded in logic.
Is it appropriate to use a logical approach to justify using a logical approach?
Circular thinking abounds.
I want to know if I'm just over-thinking it, of if there's a deeper flaw in the whole "logic is good and useful" assumption.
Logic can be used to prove that some solvable problems cannot be solved with logic and that some statements do not adhere to the rules of logic.
A classic example is determining if the following is true or false: This statement is false.
Not everything is true or false, etc.
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