RolfAndreassen comments on Rationality Quotes: October 2009 - Less Wrong

7 Post author: Eliezer_Yudkowsky 22 October 2009 04:06PM

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Comment author: James_Miller 22 October 2009 05:27:17PM 1 point [-]

All that glitters is not gold

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Comment author: RolfAndreassen 22 October 2009 11:17:55PM *  4 points [-]

That is, indeed, the idiomatic form. But it should properly be "Not all that glitters is gold", because gold does, in fact, glitter, and therefore some things which glitter are indeed gold. And, of course, some are diamond.

Comment author: [deleted] 23 October 2009 01:28:52PM *  2 points [-]

Usually, sentences of the form "all that glitters is not gold" mean "not (all that glitters is gold)". "All is not lost" does not mean that nothing got any worse. While it may seem weird for "not" to semantically modify the entire sentence while it syntactically modifies only "gold", we do this all the time using other words: "we ate nothing" does not mean "we ate X" for X equal to "nothing"; it means "for all X, not (we ate X)". For fun, see Wikipedia.

To imitate a friend of mine, how dare you try to make English make more sense.

Comment author: komponisto 24 October 2009 06:32:32AM 1 point [-]

"we ate nothing" does not mean "we ate X" for X equal to "nothing"; it means "for all X, not (we ate X)"

But surely "we ate X" can mean "X = {Y: We ate Y}", as in "we ate a set of fried chicken legs" -- and this would allow one to analyze "we ate nothing" to mean "we ate X" for X = emptyset.

Comment author: [deleted] 24 October 2009 07:15:46PM 0 points [-]

Let "nothing" be the empty set, and say that "we ate X" means that X is the set of all things that we ate? How would that handle the sentence "No robot took off its hat"? My semantics say that that's equivalent to "for no robot X, (X took off X's hat)"; yours would say something like "(the set of no robots) took off (some value that isn't a set of hats)".