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Lumifer comments on 2013 Survey Results - Less Wrong
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I don't see how this sentence
is compatible with this sentence
I am distinguishing between X and statements regarding X. The statement "Cheese is wrong" is nonsensical. The statement "it's nonsensical to say cheese is wrong" is not nonsensical. Values and facts are not the same, but statements regarding values and facts should be treated the same way.
Similarly: Faith and Science are not the same thing. Nonetheless, I reject the notion that claims based on faith should be treated any differently from scientific claims.
Do you also reject the notion that claims about mathematics and science should be treated differently?
In the general sense that all claims must abide by the usual requirements of validity and soundness of logic, sure.
In fact, you might say that mathematics is really just a very pure form of logic, while science deals with more murky, more complicated matters. But the essential principle is the same: You better make sure that the output follows logically from the input, or else you're not doing it right.
My point is that what constitutes "validity" and "soundness of logic" differs between the two domains.