TheOtherDave comments on Wrong Questions - Less Wrong

34 Post author: Eliezer_Yudkowsky 08 March 2008 05:11PM

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Comment author: MugaSofer 12 April 2013 10:18:40PM *  -1 points [-]

And if someone interrupts us to impatiently say "No, no, no, I don't want to hear about frameworks and windows and interior walls, I asked about buildings!!! I want to know why we build buildings out of the materials we build them out of!!! All parts of a building!!!" all we can really do is encourage them to be less impatient, because we can't usefully answer the question the way they insist on having it answered.

Well, I suppose the answer in that case is really to point to our cognitive alogorithms and say "because they say those are the correct materials" ;)

Then Sam, who is much much smarter than me, looks at all of that and goes "Oh! I see. The general rule is to calculate at the ratio between the alcohol content and the tannin content expressed in these units, take that number mod 7, then take the numeric equivalent of the first letter of the main ingredient of the dish in German and take that mod 7, and match wines to dishes based on those two matching numbers."

Well, sure, if you don't know the answer you can't answer; and if you only know a needlessly complex answer, naturally that's the best answer you can give. I'm not sure how that bears on the questions, though.

Right.

And again, my only choices when answering such a general question are:

(1) Be uselessly general ("Things as they are are as they are and have been and will be that way because they got that way because things were as they were in the first place!") (2) Approach the general question by breaking it down into specifics ("Turtle #1 stays up because of Turtle #2. Turtle #2 stays up because of Turtle #3. Etc.") (3) Be really really smart and come up with a general explanation ("The way you pick a wine is...")

#3 is obviously preferable, but if I'm not smart enough to do it, I'm not smart enough to do it, in which case #2 is usually my best option.

And if someone impatiently says "No, no, no, I don't want to hear about turtle 1 and turtle 2 and turtle 3, I asked about the stack of turtles!!! I want to know how the stack stays up!!! The whole stack!!!" all I can really do is encourage them to be less impatient, because I can't usefully answer the question the way they insist on having it answered.

But we have all three "types" of answer as far as I can see, and they're all answering a different question - talking about internal structure of the pile rather than how it got there.

(1) "Turtles are held up by other turtles below them."

(2) "The top turtle is supported by the second-from-the-top turtle; the second-from-the-top turtle is supported by the third-from-the-top turtle; the third-from-the-top turtle is supported by the fourth-from-the-top turtle ..." and so on ad infinitum.

(3) "It's an infinite stack of turtles, each held up by the one below it."

What we really want is (4) "We live in a thought experiment and infinite turtles is a common metaphor for recursive buck-passing."

Comment author: TheOtherDave 12 April 2013 11:14:38PM *  0 points [-]

Well, I suppose the answer in that case is really to point to our cognitive alogorithms and say "because they say those are the correct materials" ;)

Sure. Which is an equally good (or poor) answer to "Why do we write on the materials we write on?"

What we really want is (4) "We live in a thought experiment and infinite turtles is a common metaphor for recursive buck-passing."

(shrug) If I were actually looking at the stack of turtles, and Sam gave me answer #4 I would stare incredulously at Sam. If he then gave me grounds for believing #4 and I confirmed it, I would ultimately say "Holy crap! You're right!" And if Sam said "Of course. Say, why did you choose to answer the question in such a piecemeal way as #2? It seems inefficient." the only answer I could give would be "Because I'm not nearly as smart as you are, Sam."

Which is to say, your #4 is part of my #3.

Your #3 is also part of my #3, in that if I were in that world staring at the stack of turtles, I would not be smart enough to infer that it's an infinite stack of turtles... on what grounds would I conclude that? But Sam's sibling Pat, who is not quite as smart as Sam, might somehow just know the stack was infinite rather than merely longer than I was able to see.

None of which changes the fact that if I'm not as smart as Sam or Pat, the best I can do is #2. And if someone interrupts #2 by saying "no, no, no, I don't care about the turtles, I'm asking about the stack!", they are asking a question and refusing to listen to the best answer I'm capable of offering. They would do better to ask someone smarter, like Sam or Pat. And if nobody smart enough to give answer #3 is available, they do best to either listen to my answer, or give up on the question.

Comment author: MugaSofer 12 April 2013 11:28:04PM -1 points [-]

Sure. Which is an equally good (or poor) answer to "Why do we write on the materials we write on?"

Yup. To be fair, it's also pretty much useless unless I can actually explain how said cognitive alogarithm works.

Your #3 is also part of my #3, in that if I were in that world staring at the stack of turtles, I would not be smart enough to infer that it's an infinite stack of turtles... on what grounds would I conclude that? But Sam's sibling Pat, who is not quite as smart as Sam, might somehow just know the stack was infinite rather than merely longer than I was able to see.

To be fair, if there's a literal infinitely-high stack of turtles, I'm not even sure where you're standing, let alone how you can observe it's length. Maybe Sam's just familiar with the anecdote?

Which is to say, your #4 is part of my #3.

I still think #4 is distinct from #3, because it explains the presence of the stack as well as it's internal structure - which is what was being asked, originally. No amount of #2 will ever replace #4, because they answer different questions. Still, I suppose it sort of implies #3, so #3 is a subelement of #4, at that.

Anyway, we seem to have reached agreement that there is something I'm looking for that #2 does not provide, which will likely require someone smarter than either of us to solve. So I guess the Question stands as, well, an open question.

Comment author: TheOtherDave 12 April 2013 11:38:34PM 2 points [-]

if there's a literal infinitely-high stack of turtles, I'm not even sure ... how you can observe it's lengt

My assumption was that I can't observe its length, since I can't observe infinite quantities. Hell, I can't even observe a ten-mile-long stack of turtles without artificial aids.

That said, I can infer the length of a stack of turtles by any number of means, even if I can't observe it in its entirety. And if my world contained infinite stacks of turtles, there might well be ways to infer the length of such a stack. Beats me what they might be, but then I'm not as smart as Pat.

Maybe Sam's just familiar with the anecdote?

That would hardly be compelling grounds for believing I exist inside a thought experiment.

we seem to have reached agreement that there is something I'm looking for that #2 does not provide, which will likely require someone smarter than either of us to solve.

Well, yes and no. I think you're disregarding the many, many real-world cases in which starting down the path of #2 leads me to a real understanding of the situation. For example, if I pick a turtle and start climbing down, I might discover that after 3,456,338 turtles there's an elephant who is walking along on empty space, and the stack isn't infinite after all. And now I know what holds the turtles up.

Of course, I can now ask what holds the elephant up, but that's a different question, and all the same considerations come into play.

If I don't know ahead of time that the problem is infinite and unbounded (and how would I know that?), I don't know that strategy #2 won't answer it. Though of course, being smarter than I am and therefore having more useful insights is always helpful.

Comment author: MugaSofer 12 April 2013 11:52:15PM -2 points [-]

Maybe Sam's just familiar with the anecdote?

That would hardly be compelling grounds for believing I exist inside a thought experiment.

I'm just using a time-honored technique for simulating characters smarter than me: cheat like crazy. See also: Sherlock Holmes.

Well, yes and no. I think you're disregarding the many, many real-world cases in which starting down the path of #2 leads me to a real understanding of the situation.

Oh, absolutely. I just meant that such understanding wouldn't look like #2.

Of course, I can now ask what holds the elephant up, but that's a different question, and all the same considerations come into play.

Arguably, it's a special case of "what holds [list of 3,456,338 turtles] up?" Returning to the original question of which this is a metaphor, momentarily, the elephant would be roughly equivalent to the Big Bang.

Comment author: TheOtherDave 13 April 2013 12:03:43AM 1 point [-]

Sherlock Holmes is a lousy simulation of a hyperintelligent theorist, FWIW. But OK, if you're just talking about fictional characters, then most of my objections are moot.

such understanding wouldn't look like #2.

Agreed.

Arguably, it's a special case of "what holds [list of 3,456,338 turtles] up?"

At the #2-level, it's not. But you're right that at the #3 level, it could easily be.

Incidentally, it's not a stack of 3,456,338 turtles, it's just a stack that bottoms out 3,456,338 turtles down from where I started.

the elephant would be roughly equivalent to the Big Bang

Or something like that, yeah.

Comment author: MugaSofer 13 April 2013 12:17:28AM -1 points [-]

Sherlock Holmes is a lousy simulation of a hyperintelligent theorist, FWIW.

Cheap to run, though, computationally speaking.

Incidentally, it's not a stack of 3,456,338 turtles, it's just a stack that bottoms out 3,456,338 turtles down from where I started.

Well, in the original anecdote the stack topped out with a (precariously balanced?) flat Earth, so I just sort of assumed you started at the top. In bastardised mathematical terms, it's usually a ray, and finding a bottom makes it a line segment.

At the #2-level, it's not. But you're right that at the #3 level, it could easily be.

Well, it's a matter of detail, isn't it? If I already understand brains, pointing to the cognitive alogarithm is sufficient; if I already understand the Big Bang, tracing history back to it is sufficient; if I already understand how elephants stay up, following the turtles down to one is sufficient.

Comment author: satt 13 April 2013 06:59:36PM 0 points [-]

I think at this point the question in play is "What was the First Cause?", rather than "Why is there anything?", and the two are distinct for practical purposes. Bill Maher might get hung up on the second, but I'd be surprised if he got hung up on the first, given that it's such an old argument against naturalism.

What justifies my saying that we've ended up at the cosmological argument? I think it follows from accepting Maitzen's dissolution. There's a chain of turtles, and we'd like to explain the chain. Maitzen points out that instead of trying to explain the chain in itself, we need only explain each individual turtle. Once you or I accept Maitzen's argument we just have to explain the first turtle, because every subsequent turtle is explained by its predecessor. And asking "what explains the first turtle?" (with the implication that the first turtle, or whatever implicit zeroth turtle hides behind it, is supernatural) is pretty much the cosmological argument. Granted, Maitzen doesn't address that argument in his essay, but I don't see a problem with that; it's a separate argument IMO with its own well-known counterarguments.

Comment author: MugaSofer 13 April 2013 08:07:45PM *  -2 points [-]

Well, we're mostly discussing Maitzen's answer to the of the First Cause, the Infinitely Old Universe. Unless a First Cause is somehow (magic?) self-explanatory, it doesn't answer the question of "Why is there anything?" - but the same applies if you replace a First Cause with an infinite string of causes, or even a future cause + time travel.

Comment author: JohnH 13 April 2013 09:03:31PM 0 points [-]

Have you seen Gods as Topological Invarients? Note the date submitted as it is relevant.

Anyways the whole question seems a confusion: either the answer will be something that does exist or it will be something that does not exist, if it exists it would appear to be part of "anything" and therefore the question is not addressed, and if it does not exist then that appears to be contradictory.

Comment author: MugaSofer 13 April 2013 10:37:18PM -2 points [-]

That's not exactly a confusion, that's a paradox. And a faulty one; something might (somehow) "explain itself" or, more likely, we could discover a logical reason things had to exist. Or we might have some unknown insight into rationality and dissolve the question, I suppose, but that's not really helpful. The point is it's still an open question; the good Mr. Maitzen has not helped us.

Comment author: JohnH 13 April 2013 11:09:30PM 0 points [-]

Applying Greek thought to "Ehyeh asher ehyeh" is an attempt to get at something that "explain(s) itself", I am sure you are familiar with St. Thomas Aquinas and his five ways.

I suppose you are also familiar with Divine Sophia in Gnosticism? Saying we have a logical reason for things existing seems to be on that same level of reasoning and appears to just add another turtle to me.

Comment author: satt 13 April 2013 10:20:27PM 0 points [-]

I disagree. If I go looking for a First Cause and discover an infinite string of causes instead, that's reality's way of telling me that there just isn't a First Cause, and the premise of my investigation was simply wrong. Equivalently, then, discovering an infinite string of causes indicates that the question "What is the First Cause?" (and hence "Why is there anything?", since that question reduces to the First Cause question once one accepts Maitzen's argument) is a wrong question, since it hinges on a false premise.

Comment author: MugaSofer 14 April 2013 04:31:17PM -2 points [-]

"What is the First Cause?" is not the same question as "Why is there anything?". An infinite string would answer the former, not the latter.

Comment author: satt 14 April 2013 05:31:03PM *  2 points [-]

"What is the First Cause?" is not the same question as "Why is there anything?".

This is true in the absence of further assumptions. But once you or I assume Maitzen's argument is true (and I think we both do) the second becomes a mere instantiation of the first.

An infinite string would answer the former, not the latter.

This is false if Maitzen's argument is true. Conditional on Maitzen's argument, an infinite string answers the former and hence the latter. I could justify this by repeating what I've written in my two comments upthread, but it might be more productive if I give a different argument.

How do we usually answer "Why is there X?"? I think we usually pick out X's most salient cause. "Why is there an ambulance outside my neighbour's house?" "Because the neighbour had a heart attack." We're basically saying, "here's the most interesting antecedent node in the causal graph, and had we deleted or substantially altered it, there wouldn't have been X". If we'd deleted the "neighbour's heart attack" node, there wouldn't be an "ambulance outside neighbour's house" node.

This gives me a way to interpret "What's the First Cause?", or "Why is there anything?", or "Why is there everything?", or "Why isn't the universe in the counterfactual no-turtle state?" (to paraphrase you). These questions are asking for a node in the causal graph that's antecedent to everything. But how can I do that if the causal graph is an infinitely long string? There's no such node!