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Douglas_Knight comments on Open Thread, May 11 - May 17, 2015 - Less Wrong Discussion
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What do you mean with "Rationalism"?
The LW standard definition is that it's about systematized winning. If the Matrix overlords punish everybody who tries to do systematized winning than it's bad to engage in it. Especially when the Matrix overlords do it via mind reading. The Christian God might see it as a sin.
If you don't use the LW definition of rationalism, then rationalism and empiricism are not the same thing. Rationalism generally refers to gathering knowledge by reasoning as opposed to gathering it by other ways such as experiments or divine revelation.
Gödel did prove that it's impossible to find all truths. This website is called Lesswrong because it's not about learning all truths but just about becoming less wrong.
While Gödel killed HIlbert's program as a matter of historical fact, it was later Tarski who proved the theorem that truth is undecidable.