Privileging the Hypothesis

Quantum Physics and Many Worlds

Suppose that the police of Largeville, a town with a million inhabitants, are investigating a murder in which there are few or no clues—the victim was stabbed to death in an alley, and there are no fingerprints and no witnesses.

Then, one of the detectives says, "Well... we have no idea who did it... no particular evidence singling out any of the million people in this city... but let's consider the hypothesis that this murder was committed by Mortimer Q. Snodgrass, who lives at 128 Ordinary Ln.  It could have been him, after all."

I'll label this the fallacy of privileging the hypothesis.  (Do let me know if it already has an official name—I can't recall seeing it described.)

Now the detective may perhaps have some form of rational evidence which is not legal evidence admissible in court—hearsay from an informant, for example.  But if the detective does not have some justification already in hand for promoting Mortimer to the police's special attention—if the name is pulled entirely out of a hat—then Mortimer's rights are being violated.

And this is true even if the detective is not claiming that Mortimer "did" do it, but only asking the police to spend time pondering that Mortimer might have done it—unjustifiably promoting that particular hypothesis to attention.  It's human nature to look for confirmation rather than disconfirmation.  Suppose that three detectives each suggest their hated enemies, as names to be considered; and Mortimer is brown-haired, Frederick is black-haired, and Helen is blonde.  Then a witness is found who says that the person leaving the scene was brown-haired.  "Aha!" say the police.  "We previously had no evidence to distinguish among the possibilities, but now we know that Mortimer did it!"

This is related to the principle I've started calling "locating the hypothesis", which is that if you have a billion boxes only one of which contains a diamond (the truth), and your detectors only provide 1 bit of evidence apiece, then it takes much more evidence to promote the truth to your particular attention—to narrow it down to ten good possibilities, each deserving of our individual attention—than it does to figure out which of those ten possibilities is true.  27 bits to narrow it down to 10, and just another 4 bits will give us better than even odds of having the right answer.  (Again, let me know if there's a more standard name for this.)

Thus the detective, in calling Mortimer to the particular attention of the police, for no reason out of a million other people, is skipping over most of the evidence that needs to be supplied against Mortimer.

And the detective ought to have this evidence in their possession, at the first moment when they bring Mortimer to the police's attention at all.  It may be mere rational evidence rather than legal evidence, but if there's no evidence then the detective is harassing and persecuting poor Mortimer.

During my recent diavlog with Scott Aaronson on quantum mechanics, I did manage to corner Scott to the extent of getting Scott to admit that there was no concrete evidence whatsoever that favors a collapse postulate or single-world quantum mechanics.  But, said Scott, we might encounter future evidence in favor of single-world quantum mechanics, and many-worlds still has the open question of the Born probabilities.

This is indeed what I would call the fallacy of privileging the hypothesis.  There must be a trillion better ways to answer the Born question without adding a collapse postulate that would be the only non-linear, non-unitary, discontinous, non-differentiable, non-CPT-symmetric, non-local in the configuration space, Liouville's-Theorem-violating, privileged-space-of-simultaneity-possessing, faster-than-light-influencing, acausal, informally specified law in all of physics.  Something that unphysical is not worth saying out loud or even thinking about as a possibility without a rather large weight of evidence—far more than the current grand total of zero.

But because of a historical accident, collapse postulates and single-world quantum mechanics are indeed on everyone's lips and in everyone's mind to be thought of, and so the open question of the Born probabilities is offered up (by Scott Aaronson no less!) as evidence that many-worlds can't yet offer a complete picture of the world.  Which is taken to mean that single-world QM is still in the running somehow.

In the minds of human beings, if you can get them to think about this particular hypothesis rather than the trillion other possibilities that are no more complicated or unlikely, you really have done a huge chunk of the work of persuasion.  Anything thought about is treated as "in the running", and if other runners seem to fall behind in the race a little, it's assumed that this runner is edging forward or even entering the lead.

And yes, this is just the same fallacy committed, on a much more blatant scale, by the theist who points out that modern science does not offer an absolutely complete explanation of the entire universe, and takes this as evidence for the existence of Jehovah.  Rather than Allah, the Flying Spaghetti Monster, or a trillion other gods no less complicated—never mind the space of naturalistic explanations!

To talk about "intelligent design" whenever you point to a purported flaw or open problem in evolutionary theory is, again, privileging the hypothesis—you must have evidence already in hand that points to intelligent design specifically in order to justify raising that particular idea to our attention, rather than a thousand others.

So that's the sane rule.  And the corresponding anti-epistemology is to talk endlessly of "possibility" and how you "can't disprove" an idea, to hope that future evidence may confirm it without presenting past evidence already in hand, to dwell and dwell on possibilities without evaluating possibly unfavorable evidence, to draw glowing word-pictures of confirming observations that could happen but haven't happened yet, or to try and show that piece after piece of negative evidence is "not conclusive".

Just as Occam's Razor says that more complicated propositions require more evidence to believe, more complicated propositions also ought to require more work to raise to attention.  Just as the principle of burdensome details requires that each part of a belief be separately justified, it requires that each part be separately raised to attention.

As discussed in Perpetual Motion Beliefs, faith and type 2 perpetual motion machines (water—> ice cubes + electricity) have in common that they purport to manufacture improbability from nowhere, whether the improbability of water forming ice cubes or the improbability of arriving at correct beliefs without observation.  Sometimes most of the anti-work involved in manufacturing this improbability is getting us to pay attention to an unwarranted belief—thinking on it, dwelling on it.  In large answer spaces, attention without evidence is more than halfway to belief without evidence.

Someone who spends all day thinking about whether the Trinity does or does not exist, rather than Allah or Thor or the Flying Spaghetti Monster, is more than halfway to Christianity.  If leaving, they're less than half departed; if arriving, they're more than halfway there.

Added:  An oft-encountered mode of privilege is to try to make uncertainty within a space, slop outside of that space onto the privileged hypothesis.  For example, a creationist seizes on some (allegedly) debated aspect of contemporary theory, argues that scientists are uncertain about evolution, and then says, "We don't really know which theory is right, so maybe intelligent design is right."  But the uncertainty is uncertainty within the realm of naturalistic theories of evolution—we have no reason to believe that we'll need to leave that realm to deal with our uncertainty, still less that we would jump out of the realm of standard science and land on Jehovah in particular.  That is privileging the hypothesis—taking doubt within a normal space, and trying to slop doubt out of the normal space, onto a privileged (and usually discredited) extremely abnormal target.

Similarly, our uncertainty about where the Born statistics come from, should be uncertainty within the space of quantum theories that are continuous, linear, unitary, slower-than-light, local, causal, naturalistic, etcetera—the usual character of physical law.  Some of that uncertainty might slop outside the standard space onto theories that violate one of these standard characteristics.  It's indeed possible that we might have to think outside the box.  But single-world theories violate all these characteristics, and there is no reason to privilege that hypothesis.

Wiki entry:  Privilege the hypothesis.

 

Part of the Overly Convenient Excuses subsequence of How To Actually Change Your Mind

Next post: "But There's Still A Chance, Right?"

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John Wilkes Booth: You know you really ought to do something about that stomach.

Zangara: I do everything about the stomach!

Booth: Oh yes?

Zangara: I give up wine. No good! I give up smokes. No good! I quit my work. No good! I move Miami. No good! I TAKE APPENDIX OUT! No good! Nothing no good! Nothing! Nothing! Nothing!

Booth: Have you considered shooting Franklin Roosevelt?

Zangara: You think that help?

Booth: It couldn't hurt...

-- Assassins shows up how privileging hypotheses is done.

"Is it cold out in space, Bowie?"

"You can borrow my jumper if you like, Bowie!"

"Does the cold of deep space make your nipples get pointy, Bowie?"

"Do you use your pointy nipples as telescopic antennae to transmit data back to earth?"

"I bet you do, you freaky old bastard you!"

[...]

"Receiving transmission...from David Bowie's nipple antennae!"

--Flight of the Conchords helps

I don't know, this "Mortimer Q. Snodgrass" fellow seems pretty suspicious to me. I mean, a weird name like that is probably an alias. And "Ordinary Lane"? At a power of 2 no less? Tell me he plays tennis and I'll be convinced he did it.

And even if he wasn't the murderer, he's probably guilty of something. Check his computer for pirated music! ;)

I agree that privileging a hypothesis is a common error. I don't agree that it applies in the example used, though.

If you have a tradition thousands of years old saying that a particular spot was the site of Nazareth in 4BC, or of Troy in 1200BC, it isn't irrational to privilege the hypothesis that that spot was indeed the site of Nazareth, or of Troy.

Similarly, when the entire world has used the single-world hypothesis almost exclusively until the recent past, it isn't unfairly privileging it to still consider it a major contender.

You might think this is more like evolution vs. creationism. I don't mean that we should keep teaching creationism in school as an alternative today. But we haven't got as strong an argument for many-worlds as we do for evolution.

Also, AFAIK there's just these 2 competing hypotheses: One-world, many-world. We don't have the 7-worlds hypothesis and the 23-worlds hypothesis and the pi-worlds hypothesis. We could have the countable-worlds hypothesis and the uncountable-worlds hypothesis, but AFAIK we don't even have those. How can you say it's irrational to consider 1 of the only 2 hypotheses available?

Also, AFAIK there's just these 2 competing hypotheses: One-world, many-world.

Reminiscent of the guy who was asked what were the odds he would win the lottery, and replied, "Fifty-fifty, either I win or I don't." The corresponding heuristic-and-bias is I think known as "packing and unpacking" or something along those lines.

I remember the Daily Show had a funny example of this in action. They were interviewing people about the possibility of the Large Hadron Collider destroying the earth, and they talked to a physicist and a crazy survivalist. The former said it was impossible for the LHC to destroy the earth, while the latter used basically that argument: "There are two possibilities: it can destroy us, or not. So, that's about a 50/50 chance."

Then later the interviewer followed the survivalist to his bunker and asked him: if everyone died but them, don't they have an obligation to mate to repopulate the earth? (They were both men.) The survivalist said, "Um, no, because that doesn't work. It's impossible." And then the interviewer came back with, "well, there's two possibilities: we'll produce a baby, or we won't, so that's 50/50 -- pretty good odds."

I'm sure someone would love to dig up the clip...

1 vs. many is a very natural divide, not at all a good example of the packing and unpacking fallacy.

Once you accept that there exists something isomorphic to a wave function, it's more like:

many worlds vs. many worlds and an orang-utan vs. many worlds and an apple tree vs. many worlds and a television vs. many worlds and a blue castle vs. (...) vs. many worlds and a character-of-natural-law-violating process that constantly kills all the worlds except one.

All cases except the last case contain many worlds, but Phil packed them together. I think that's the intuition Eliezer was getting at.

We shouldn't be afraid here to sound Orwellian. Copenhagen people believe in the many worldeaters interpretation. We believe in the no worldeaters interpretation.

So true - My "8 worlds and an orang-utan" hypothesis never got the respect it deserved.

"Should array indices start at 0 or 1? My compromise of 0.5 was rejected without, I thought, proper consideration."

--Stan Kelly-Bootle

That is exactly and perfectly right and I should use this example henceforth.

I think you are demonstrating a dramatic failure to update by saying that a hypothesis held by 99.99+% of humanity, and even by most people who have thought about the issues, is not worth considering.

I'd like to know what the distribution of opinions of quantum physicists and cosmologists is.

There have been polls, with a dramatic range of support. Wikipedia leads me to the most MWI-friendly poll. I think the low-water mark is about 10% of some other group of quantum theorists. I suspect that the variation is due to wording issues and local social pressure (by "local" I mean the conference), but the page suggests different communities:

The findings of this poll are in accord with other polls, that many- worlds is most popular amongst scientists who may rather loosely be described as string theorists or quantum gravitists/cosmologists. It is less popular amongst the wider scientific community who mostly remain in ignorance of it.

Antia Lamas saw MWI win a poll for least favorite interpretation. On that page, Michael Nielsen mentions a poll where MWI came 3rd, after Copenhagen and decoherence...but if decoherence is an interpretation, it sure sounds like MWI to me.

Why you insist on being dogmatic on this is beyond me. In your writings on the subject, you admit you don't understand the math behind quantum mechanics, which is in fact the model. Why be so sure you are right about the interpretation of the model you don't understand?

People look kindly on those who are humble when commenting on things outside of their expertise. People that go around making bold claims about things about which they are not that knowledgeable are labeled cranks, and rightfully so.

I don't know if there's another name for privileging the hypothesis, but it seems closely related to anchoring, in that it involves establishing an unjustifiable "starting point" from which to search.

Just to confirm:

Another way of explaining the 'locating the hypothesis' concept would be to say: "When answering a question with a large number of possible answers, it takes more work to narrow down the possibilities (generate the reasonable hypotheses) than it does to test those hypotheses for correctness."

Is that right?

That is correct, and even more importantly "When answering a question with a large enough number of possible answers, any single possible answer will have a bigger chance of being a false positive than true positive if tested"

You are asserting a false duality. Either many-worlds, OR a collapse postulate. You use evidence AGAINST a collapse as evidence FOR many worlds, which is very weak evidence. Here is a third alternative- the wavefunction is not real- merely a mathematical formalism used to calculate probability distributions (this map doesn't have to be the territory). Here is a fourth- collapse is an approximation to a small, non-linear self-coupling in the equation that governs time evolution. Here is a fifth- evolution is governed by both the advanced and retarded Green function solution to the Schroedinger equation, and what appears to be collapse is a sort of beat-resonance between the two. Here is a sixth- there are(non-local) degrees of freedom apart from the wavefunction and 'collapse' occurs because our existing theory is confused about what devices actually measure. I could keep going.

Every one of the above has a huge advantage over many worlds- there is positive evidence to update in their favor. Because they accurately reproduce most of quantum mechanics, all that evidence that we can use to push us to "quantum mechanics is probably right" CAN lead us to any of the above theories.

Many worlds does NOT have Born probabilities, and so IT DOES NOT MAKE PREDICTIONS. No one knows how to use many worlds to do anything at all. So you are doing a very weird sort of Bayesian process- you use Copenhagen or one of the above theories' predictions to update your belief to "quantum mechanics is probably right." Now starting from this new belief, you use other facts to update to "many worlds is probably right." Unfortunately, you didn't notice that in switching to many worlds, all of that evidence that pointed to quantum mechanics is gone.

If you start from an agnostic prior, many world's has no predictions to push you in the direction of "this is the right theory."

You use evidence AGAINST a collapse as evidence FOR many worlds, which is nonsense.

That actually isn't nonsense, even if (or rather, even though) there are not only two hypotheses. Given that collapse outright excludes many worlds, evidence against collapse is evidence in favor of many worlds. It is evidence that merely becomes weaker the more additional probability mass there is for the additional hypotheses.

I retract the overly-strong word "non-sense", I'm not sure how to markup a strike out so I merely edited the above post.

grand total of zero

I have perceived exactly one world all my life. Isn't that evidence that exactly one world exists?

But that's exactly what you'd perceive if many worlds was true.

If many worlds wasn't favored by the evidence that distinguishes between the two explanations and was the more complex explanation from reality's point of view, then yes, but I don't think it qualifies for dragonhood under this criteria.

I tend to think that the Bible and the Koran are sufficient evidence to draw our attention to the Jehovah and Allah hypotheses, respectively. Each is a substantial work of literature, claiming to have been inspired by direct communication from a higher power, and each has millions of adherents claiming that its teachings have made them better people. That isn't absolute proof, of course, but it sounds to me like enough to privilege the hypotheses.

This is in fact the general problem here. If there is a large group of people claiming that some religion is true, that is quite enough evidence to call your attention to the hypothesis. That is in fact why people's attention is called to the hypothesis: paying attention to what large groups of people say is not remotely close to inventing a random idea.

I think that "privileging the hypothesis" is an example of special pleading (http://en.wikipedia.org/wiki/Special_pleading) being applied to the selection of a hypothesis, as opposed to the evaluation of the hypothesis.