Entangled Truths, Contagious Lies

8Eliezer_Yudkowsky15 October 2008 11:39PM

"One of your very early philosophers came to the conclusion that a fully competent mind, from a study of one fact or artifact belonging to any given universe, could construct or visualize that universe, from the instant of its creation to its ultimate end..."
        -- First Lensman

"If any one of you will concentrate upon one single fact, or small object, such as a pebble or the seed of a plant or other creature, for as short a period of time as one hundred of your years, you will begin to perceive its truth."
        -- Gray Lensman

I am reasonably sure that a single pebble, taken from a beach of our own Earth, does not specify the continents and countries, politics and people of this Earth.  Other planets in space and time, other Everett branches, would generate the same pebble.  On the other hand, the identity of a single pebble would seem to include our laws of physics.  In that sense the entirety of our Universe - all the Everett branches - would be implied by the pebble.  (If, as seems likely, there are no truly free variables.)

So a single pebble probably does not imply our whole Earth.  But a single pebble implies a very great deal.  From the study of that single pebble you could see the laws of physics and all they imply.  Thinking about those laws of physics, you can see that planets will form, and you can guess that the pebble came from such a planet.  The internal crystals and molecular formations of the pebble formed under gravity, which tells you something about the planet's mass; the mix of elements in the pebble tells you something about the planet's formation.

I am not a geologist, so I don't know to which mysteries geologists are privy.  But I find it very easy to imagine showing a geologist a pebble, and saying, "This pebble came from a beach at Half Moon Bay", and the geologist immediately says, "I'm confused" or even "You liar".  Maybe it's the wrong kind of rock, or the pebble isn't worn enough to be from a beach - I don't know pebbles well enough to guess the linkages and signatures by which I might be caught, which is the point.

"Only God can tell a truly plausible lie."  I wonder if there was ever a religion that developed this as a proverb?  I would (falsifiably) guess not: it's a rationalist sentiment, even if you cast it in theological metaphor.  Saying "everything is interconnected to everything else, because God made the whole world and sustains it" may generate some nice warm n' fuzzy feelings during the sermon, but it doesn't get you very far when it comes to assigning pebbles to beaches.

A penny on Earth exerts a gravitational acceleration on the Moon of around 4.5 * 10-31 m/s2, so in one sense it's not too far wrong to say that every event is entangled with its whole past light cone.  And since inferences can propagate backward and forward through causal networks, epistemic entanglements can easily cross the borders of light cones.  But I wouldn't want to be the forensic astronomer who had to look at the Moon and figure out whether the penny landed heads or tails - the influence is far less than quantum uncertainty and thermal noise.

If you said "Everything is entangled with something else" or "Everything is inferentially entangled and some entanglements are much stronger than others", you might be really wise instead of just Deeply Wise

Physically, each event is in some sense the sum of its whole past light cone, without borders or boundaries.  But the list of noticeable entanglements is much shorter, and it gives you something like a network.  This high-level regularity is what I refer to when I talk about the Great Web of Causality.

I use these Capitalized Letters somewhat tongue-in-cheek, perhaps; but if anything at all is worth Capitalized Letters, surely the Great Web of Causality makes the list.

"Oh what a tangled web we weave, when first we practise to deceive," said Sir Walter Scott.  Not all lies spin out of control - we don't live in so righteous a universe.  But it does occasionally happen, that someone lies about a fact, and then has to lie about an entangled fact, and then another fact entangled with that one:

"Where were you?"
"Oh, I was on a business trip."
"What was the business trip about?"
"I can't tell you that; it's proprietary negotiations with a major client."
"Oh - they're letting you in on those?  Good news!  I should call your boss to thank him for adding you."
"Sorry - he's not in the office right now..."

Human beings, who are not gods, often fail to imagine all the facts they would need to distort to tell a truly plausible lie.  "God made me pregnant" sounded a tad more likely in the old days before our models of the world contained (quotations of) Y chromosomes.  Many similar lies, today, may blow up when genetic testing becomes more common.  Rapists have been convicted, and false accusers exposed, years later, based on evidence they didn't realize they could leave.  A student of evolutionary biology can see the design signature of natural selection on every wolf that chases a rabbit; and every rabbit that runs away; and every bee that stings instead of broadcasting a polite warning - but the deceptions of creationists sound plausible to them, I'm sure.

Not all lies are uncovered, not all liars are punished; we don't live in that righteous a universe.  But not all lies are as safe as their liars believe.  How many sins would become known to a Bayesian superintelligence, I wonder, if it did a (non-destructive?) nanotechnological scan of the Earth?  At minimum, all the lies of which any evidence still exists in any brain.  Some such lies may become known sooner than that, if the neuroscientists ever succeed in building a really good lie detector via neuroimaging.  Paul Ekman (a pioneer in the study of tiny facial muscle movements) could probably read off a sizeable fraction of the world's lies right now, given a chance.

Not all lies are uncovered, not all liars are punished.  But the Great Web is very commonly underestimated.  Just the knowledge that humans have already accumulated would take many human lifetimes to learn.  Anyone who thinks that a non-God can tell a perfect lie, risk-free, is underestimating the tangledness of the Great Web.

Is honesty the best policy?  I don't know if I'd go that far:  Even on my ethics, it's sometimes okay to shut up.  But compared to outright lies, either honesty or silence involves less exposure to recursively propagating risks you don't know you're taking.

Comments (25)

Nominull316 October 2008 01:03:29AM0 points [-]

It's amazing how many lies go undetected because people simply don't care. I can't tell a lie to fool God, but I can certainly achieve my aims by telling even blatant, obvious lies to human beings, who rarely bother trying to sort out the lies and when they do aren't very good at it.

It sounds to me like you're overreaching for a pragmatic reason not to lie, when you either need to admit that honesty is an end in itself or admit that lies are useful.

Eliezer_Yudkowsky16 October 2008 01:30:53AM2 points [-]

Honesty is an end in itself, but because the benefits involve unknown unknowns and black-swan bets, they are underrated.

Jordan_Fisher16 October 2008 02:40:53AM1 point [-]

I agree with Nominull, a good number of lies are undetectable without having access to some sort of lie detector or the agent's source code. If an AI wanted to lie "my recursive modification of my goal systems hasn't led me to accept a goal that involves eventually destroying all human life" I don't see any way we could bust that lie via the 'Web' until the AI was actively pursuing that goal. I value honesty not for the trouble it saves me but because I find (sometimes only hope) that the real world free of distortion is more interesting than any misrepresentation humans can conjure for selfish means.

retired_urologist16 October 2008 03:00:04AM1 point [-]

@"Oh what a tangled web we weave, when first we practise to deceive," said Shakespeare.

Hopefully, the FAI will know that the author was Sir Walter Scott.

Tom_McCabe216 October 2008 03:07:29AM0 points [-]

"Human beings, who are not gods, often fail to imagine all the facts they would need to distort to tell a truly plausible lie."

One of my pet hobbies is constructing metaphors for reality which are blatantly, factually wrong, but which share enough of the deep structure of reality to be internally consistent. Suppose that you have good evidence for facts A, B, and C. If you think about A, B, and C, you can deduce facts D, E, F, and so forth. But given how tangled reality is, it's effectively impossible to come up with a complete list of humanly-deducible facts in advance; there's always going to be some fact, Q, which you just didn't think of. Hence, if you map A, B, and C to A', B', and C', use A', B', and C' to deduce Q', and map Q' back to Q, how accurate Q is is a good check for how well you understand A, B, and C.

Nate_Barna16 October 2008 03:38:46AM1 point [-]

If a lie is defined as the avoidance of truthfully satisfying interrogative sentences (this includes remaining silent), then it wouldn't be honest, under request, to withhold details of a referent. But privacy depends on the existence of some unireferents, as opposed to none and to coreferents. If all privacy shouldn't be abolished, then it isn't clear that the benefits of honesty as an end in itself are underrated.

Z._M._Davis16 October 2008 04:06:15AM0 points [-]

"[...] when I talk about the Great Web of Causality. I use these Capitalized Letters somewhat tongue-in-cheek [...]"

Personally, I prefer "Great Romance of Determinism."

Thomas16 October 2008 06:45:27AM0 points [-]

"Other planets in space and time, other Everett branches, would generate the same pebble."

But not very likely! At least some of them not. What tells you something abut the Multiverse, if you buy it's idea.

haig216 October 2008 07:32:45AM0 points [-]

A new method of 'lie detection' is being perfected using functional near infrared imaging of the prefrontal cortex:

http://www.biomed.drexel.edu/fNIR/Contents/deception/

In this technique the device actually measures whether or not a certain memory is being recalled or is being generated on the spot. For example, if you are interrogating a criminal who denies ever being at a crime scene, and you show them a picture of the scene, you can deduce whether he/she has actually seen it or not by measuring if their brain is recalling some sensory data from memory or newly creating and storing it.

Eliezer_Yudkowsky16 October 2008 08:05:35AM0 points [-]

@Retired: Huh, I thought I checked that, but I guess I only checked the text instead of the attribution. Fixed.

Tom, I can't visualize your technique: example?

Anatoly_Vorobey16 October 2008 11:31:52AM0 points [-]

It seems doubtful to me that a pebble includes in it the law of gravity in the sense of determining it. The internal structure of the pebble, the reason it stays solid, locations of its atoms in relation to each other, are all due to electromagnetism (and strong/weak interactions inside the nucleus). Gravity is completely dominated by other forces, to such a degree that it seems plausible to me that an essentially indistinguishable pebble could exist in a universe with a very different gravity law (although in absence of planets it might be more difficult to explain its formation).

JulianMorrison16 October 2008 01:33:52PM0 points [-]

@Nominull: "I can certainly achieve my aims by telling even blatant, obvious lies to human beings"

You are leaving digital crumb trails that the technology of the present day can follow and the technology of 20 years hence will be able to fluidly integrate into a universal public panopticon / rewind button. I don't personally bank on keeping any secret at all in that sort of time-frame.

Nominull316 October 2008 02:47:12PM0 points [-]

It is in any case a good general heuristic to never do anything that people would still be upset about twenty years later.

Stuart_Armstrong16 October 2008 03:15:57PM0 points [-]

So a single pebble probably does not imply our whole Earth. But a single pebble implies a very great deal. From the study of that single pebble you could see the laws of physics and all they imply. Thinking about those laws of physics, you can see that planets will form, and you can guess that the pebble came from such a planet. The internal crystals and molecular formations of the pebble formed under gravity, which tells you something about the planet's mass; the mix of elements in the pebble tells you something about the planet's formation.

Call me sceptical about this. We can deduce a lot from a pebble ourselves because we know a lot about our universe, and about our earth.

But are you sure that there are no exotic laws of physics, across all possible universes, that would give rise to the same structure? Or, more simply, with the powers of a god, could you not lie - change the laws of physics and the structure of the universe, until you produce exactly the same pebble in completely different circumstances?

Abigail16 October 2008 03:55:16PM2 points [-]

Oh what a tangled web we weave when first we practice to deceive But- practice makes perfect. Soon, fair youth, Your lies will seem as pure as truth.

I thought quite hard before I came up with an answer to Sir Walter which rhymed and scanned. The hero of that poem, whose name I cannot remember at the moment, is fair haired. Perhaps it is not also true, but perhaps that is the point.

Caledonian216 October 2008 05:48:00PM0 points [-]

Gravity is completely dominated by other forces, to such a degree that it seems plausible to me that an essentially indistinguishable pebble could exist in a universe with a very different gravity law

Doesn't this depend heavily upon the sensitivity and discrimination of our observing phenomena, as well as whether we examine the pebble as a static, frozen moment or as a phenomenon occurring in time?

For the pebble to truly be completely identical, you might need for it to be embedded in a completely identical cosmos. How small does the difference have to be before it distinguishes one from the other, and do the effects of any one thing on the rest of the cosmos (and vice versa) ever drop to nothing?

JulianMorrison16 October 2008 10:21:58PM0 points [-]

No gravity - matter wouldn't have coalesced. It wouldn't have become stars, or fused or been caught up in supernovas, and so a pebble would be an unrealized theoretical possibility.

Anatoly_Vorobey16 October 2008 10:50:15PM0 points [-]

Caledonian, quantum mechanics may limit the sensitivity and discrimination of our observations. Also, if gravity's so weak on the atomic level in the pebble that its effects would cause a shift in the arrangement of the atoms smaller than the Planck length, it's not even clear that such a shift exists at all, or what meaning it has.

Julian, I suggested that a very different gravity law might be compatible with the existence of a pebble, not no gravity at all.

In fact, all kinds of things might be different about the laws of physics and the pebble could still exist. E.g. the second Newton's law could be wrong (look up MOND), which would change the story on galaxies in a big way, but not affect the pebble at all.

It seems plausible that a small familiar object like a pebble already has all the fundamental physical laws baked into it, so to speak, and that these laws could be deduced from its structure. But it isn't true. It's easy to overestimate how entangled the tangled web is, too.

NancyLebovitz19 October 2008 07:56:47PM1 point [-]

Nothing is lost; the universe is honest, Time, like the sea, gives all back in the end, But only in its own way, on its own conditions: Empires as grains of sand, forests as coal, Mountains as pebbles. Be still, be still, I say; You were never the water, only a wave; Not substance, but a form substance assumed.

- Elder Olson, 1968

gwern11 May 2010 11:51:19PM* 0 points [-]

"Every shrub, every tree -
if one has not forgotten
where they were planted -
has beneath the fallen snow
some vestige of its form."

--Shōtetsu

djd20 October 2008 09:04:45PM0 points [-]

FLOWER in the crannied wall, I pluck you out of the crannies;— Hold you here, root and all, in my hand, Little flower—but if I could understand What you are, root and all, and all in all, 5 I should know what God and man is.

I dare not confess that, lest I should compare with him in excellence; but, to know a man well, were to know himself.

DaveInNYC23 March 2010 08:46:28PM2 points [-]

" 'God made me pregnant' sounded a tad more likely in the old days before our models of the world contained (quotations of) Y chromosomes. "

I don't know about that; the whole point about the "virgin birth" was that it was miraculous, i.e. physically impossible. Had they known about DNA, the story would have included God creating some DNA for "his" side of the deal. Saying that knowledge of DNA would have made the virgin birth less believable is like saying greater knowledge of classical physics would have made people more skeptical of Jesus walking on water. Impossible == Impossible.

SilasBarta23 March 2010 08:51:51PM* 0 points [-]

Had they known about DNA, the story would have included God creating some DNA for "his" side of the deal.

"So wait, that means ... Samson the TallDarkHandsome Bard is God!" *worships*

lockeandkeynes06 July 2010 05:23:11AM2 points [-]

What's a light cone?

Mass_Driver06 July 2010 05:47:12AM2 points [-]

A future light cone is the part of space-time that can be affected by our actions in the present. Its boundaries are defined by the speed of light. If you imagine the Universe as having only two dimensions in space, then the area of space that you can affect 5 years in the future is a circle with a radius of 5 light-years; if you drew many such circles at different points in time, they would look like a cone. To affect a point in space outside your future light cone, you would have to send out some kind of order or projectile or information faster than the speed of light, and current physics says that this is impossible.