Boltzmann Brains

Solipsism, the belief that you are the only thing that really exists (everything else is dreamed or imagined by you), is generally regarded as obviously false; indeed, I’ve got it on a list somewhere here as one of the conclusions that tell you pretty clearly that your reasoning went wrong somewhere along the way; a sort of reductio ad absurdum. There don’t seem to be any solipsists, (except perhaps those who believe in the metempsychotic version) – but perhaps there are really plenty of them and they just don’t bother telling the rest of us about their belief, since in their eyes we don’t exist.

Still, there are some arguments for solipsism, especially its splendid parsimony. William of Occam advised us to use as few angels as possible in our cosmology, or more generally not to multiply entities unnecessarily. Solipsism reduces our ontological demand to a single entity, so if parsimony is important it leads the field. Or does it? Apart from oneself, the rest of the cosmos, according to solipsists, is merely smoke and mirrors; but smoke takes some arranging and mirrors don’t come cheap. In order for oneself to imagine all this complex universe, one’s own mind must be pretty packed with stuff, so the reduction in the external world is paid for by an increase in the internal one, and it becomes a tricky metaphysical question as to whether deeming the entire cosmos to be mental in nature actually reduces one’s ontological commitment or not.

Curiously enough, there is a relatively new argument for solipsism which runs broadly parallel to this discussion, derived from physics and particularly from the statistics of entropy. The second law of thermodynamics tells us that entropy increases over time; given that, it’s arguably kind of odd that we have a universe with non-maximal entropy in the first place. One possibility, put forward with several other ideas by Ludwig Boltzmann in 1896, is that the second law is merely a matter of probability. While entropy generally tends to increase, it may at times go the other way simply by chance.  Although our observed galaxy is highly improbable, therefore, if you wait long enough it can occur just by chance as a pocket of low entropy arising from chance fluctuations in a vastly larger and older universe (really old; it would have to be hugely older than we currently believe the cosmos to be) whose normal state is close to maximal entropy.

One problem with this is that while the occurrence of our galaxy by chance is possible, it’s much more likely that a single brain in the state required for it to be having one’s current experiences should arise from random fluctuations. In a Boltzmannic universe, there will be many, many more ‘Boltzmann brains’ like this than there will be complete galaxies like ours. Such brains cannot tell whether the universe they seem to perceive is real or merely a function of their random brain states; statistically, therefore, it is overwhelmingly likely that one is in fact a Boltzmann brain.

To me the relatively low probability demands of the Boltzmann brain, compared with those of a full universe, interestingly resemble the claimed low ontological requirement of the solipsism hypothesis, and there is another parallel. Both hypotheses are mainly used as leverage in reductio arguments; because this conclusion is absurd, something must be wrong with the assumptions or the reasoning that got us here. So if your proposed cosmology gives rise to the kind of universe where Boltzmann brains crop up ‘regularly’, that’s a large hit against your theory.

Usually these arguments, both in relation to solipsism and Boltzmann brains, simply rest on incredulity. It’s held to be just obvious that these things are false. And indeed it is obvious, but at a philosophical level, that won’t really do; the fact that something seems nuts is not enough, because nutty ideas have proven true in the past. For the formal logical application of reductio, we actually require the absurd conclusion to be self-contradictory; not just silly, but logically untenable.

Last year, Sean Carroll came up with an argument designed to beef up the case against Boltzmann brains in just the kind of way that seems to be required; he contends that theories that produce them cannot simultaneously be true and justifiably believed. Do we really need such ‘fancy’ arguments? Some apparently think not. If mere common sense is not enough, we can appeal to observation. A Boltzmann brain is a local, temporary thing, so we ought to be able to discover whether we are one simply by observing very distant phenomena or simply waiting for the current brain states to fall apart and dissolve. Indeed, the fact that we can remember a long and complex history is in itself evidence against our being Boltzmanns.

But appeals to empirical evidence cannot really do the job; there are several ways around them. First, we need not restrict ourselves literally to a naked brain; even if we surround it with enough structured world to keep the illusion going for a bit, our setup is still vastly more likely than a whole galaxy or universe. Second, time is no help because all our minds can really access is the current moment; our memories might easily be false and we might only be here for a moment. Third, most people would agree that we don’t necessarily need a biological brain to support consciousness; we could be some kind of conscious machine supplied with a kind of recording of our ‘experiences’. The requirement for such a machine could easily be less than for the disconnected biological brain.

So what is Carroll’s argument? He maintains that the idea of Boltzmann brains is cognitively unstable. If we really are such a brain, or some similar entity, we have no reason to think that the external world is anything like what we think it is. But all our ideas about entropy and the universe come from the very observations that those ideas now apparently undermine. We don’t quite have a contradiction, but we have an idea that removes the reasons we had for believing in it. We may not strictly be able to prove such ideas wrong, but it seems reasonable, methodologically at least, to avoid them.

One problem is those pesky arguments about solipsism. We may no longer be able to rely on the arguments about entropy in the cosmos, but can’t we borrow Occam’s Razor and point out that a cosmos that contains a single Boltzmann brain is ontologically far less demanding than a whole universe? Perhaps the Boltzmann arguments provide a neat physics counterpart for a philosophical case that ultimately rests on parsimony?

In the end, we can’t exactly prove solipsism false; but we can perhaps do something loosely akin to Carroll’s manoeuvre by asking: so what if it’s true? Can we ignore the apparent world? If we are indeed the only entity, what should we do about it, either practically or in terms of our beliefs? If solipsism is true, we cannot learn anything about the external world because it’s not there, just as in Carroll’s scenario we can’t learn about the actual world because all our perceptions and memories are systematically false. We might as well get on with investigating what we can investigate, or what seems to be true.

 

 

Baby Solipsists

baby with mirrorAre babies solipsists? Ali, Spence and Bremner at Goldsmiths say their recent research suggests that they are “tactile solipsists”.

To be honest that seems a little bit of a stretch from the actual research. In essence this tested how good babies were at identifying the location of a tactile stimulus. The researchers spent their time tickling babies and seeing whether the babies looked in the direction of the tickle or not (the life of science is tough, but somebody’s got to do it). Perhaps surprisingly, perhaps not, the babies were in general pretty good at this. In fact the youngest ones were less likely to be confused by crossing their legs before tickling their feet, something that reduced the older ones’ success rate to chance levels, and in fact impairs the performance of adults too.

The reason for this is taken to be that long experience leads us to assume a stimulus to our right hand will match an event in the right visual field, and so on. After the correlations are well established the brain basically stops bothering to check and is then liable to be confused when the right hand (or foot) is actually on the left, or vice versa.

This reminded me a bit of something I noticed with my own daughters: when they were very small their fingers all worked independently and were often splayed out, with single fingers moving quite independently; but in due course they seemed to learn that not much is achieved in most circumstances by using the four digits separately and that you might as well use them in concert by default to help with grasping, as most of us mostly do except when using a keyboard.

Very young babies haven’t had time to learn any of this and so are not confused by laterally inconsistent messages. The Goldsmiths’ team read this as meaning that they are in essence just aware of their own bodies, not aware of them in relation to the world. It could be so, but I’m not sure it’s the only interpretation. Perhaps it’s just not that complex.

There are other reasons to think that babies are sort of solipsistic. There’s some suggestive evidence these days that babies are conscious of their surroundings earlier than we once thought, but until recently it’s been thought that self-awareness didn’t dawn until around fifteen months, with younger babies unaware of any separation between themselves and the world. This was partly based on the popular mirror test, where a mark is covertly put on the subject’s face. When shown themselves in a mirror, some touch the mark; this is taken to show awareness that the reflection is them, and hence a clear sign of self awareness. The test has been used to indicate that such self-awareness is mainly a human thing, though also present in some apes, elephants, and so on.

The interpretation of the mirror test always seemed dubious to me. Failure to touch your own face might not mean you’ve failed to recognise yourself; contrariwise, you might think the reflection was someone else but still be motivated to check your own face to see whether you too had a mark. If people out there are getting marked, wouldn’t you want to check?

Sure enough about five years ago evidence emerged that the mirror test is in fact very much affected by cultural factors and that many human beings outside the western world react quite differently to a mirror. It’s not all that surprising that if you’ve seen people use mirrors to put on make-up (or shave) regularly your reactions to one might be affected.  If we were to rely on the mirror test, it seems many Kenyan six-year-olds would be deemed unaware of their own existence.

Of course the question is in one sense absurd: to be any kind of solipsist is, strictly speaking, to hold an explicit philosophical position which requires quite advanced linguistic and conceptual apparatus which small infants certainly don’t have. For the question to be meaningful we have to have a clear view about what kinds of beliefs babies can be said to hold. I don’t doubt that hold some inexplicit ones, and that we go on holding beliefs in the same way alongside others at many different levels. If we reach out to catch a ball we can in some sense be said to hold the belief that it is following a certain path, although we may not have entertained any conscious thoughts on the matter. At the other end of the spectrum, where we solemnly swear to tell the truth, the whole truth, and nothing but the truth, the belief has been formulated with careful specificity and we have (one hopes) deliberated inwardly at the most abstract levels of thought about the meaning of the oath. The complex and many-layered ways in which we can believe things have yet to be adequately clarified I think; a huge project and since introspection is apparently the only way to tackle it, a daunting one.

For me the only certain moral to be drawn from all the baby-tickling is one which philosophers might recognise: the process of learning about the world is at root a matter of entering into worse and grander confusions.

Metempsychotic Solipsism

metemsolipMy daughter Sarah (who is planning to study theology) has insisted that I should explain here the idea of metempsychotic solipsism, something that came up when we were talking about something or other recently.

Basically, this is an improved version of reincarnation. There are various problems with the theory of reincarnation. Obviously people do not die and get born in perfect synchronisation, so it seems there has to be some kind of cosmic waiting room where unborn people wait for their next turn. Since the population of the world has radically increased over the last few centuries, there must have been a considerable number of people waiting – or some new people must come into existence to fill the gaps. If the population were to go down again, there would be millions of souls left waiting around, possibly for ever – unless souls can suddenly and silently vanish away from the cosmic waiting room. Perhaps you only get so many lives, or perhaps we’re all on some deeply depressing kind of promotion ladder, being incentivised, or possibly punished, by being given another life. It’s all a bit unsatisfactory.

Second, how does identity get preserved across reincarnations? You palpably don’t get the same body and by definition there’s no physical continuity. Although stories of reincarnation often focus on retained memories it would seem that for most people they are lost (after all you have to pass through the fetal stage again, which ought to serve as a pretty good mind wipe) and it’s not clear in any case that having a few memories makes you the same person who had them first. A lot of people point out that ongoing physical change and growth mean it’s arguable whether we are in the fullest sense the same person we were ten years ago.

Now, we can solve the waiting room problem if we simply allow reincarnating people to hop back and forth over time. If you can be reincarnated to a time before your death, then we can easily chain dozens of lives together without any kind of waiting room at all. There’s no problem about increasing or reducing the population: if we need a million people you can just go round a million times. In fact, we can run the whole system with a handful of people or… with only one person! Everybody who ever lived is just different incarnations of the same person! Me, in fact (also you).

What about the identity problem? Well, arguably, what we need to realise is that just as the body is not essential to identity (we can easily conceive of ourselves inhabiting a different body), neither are memories, or knowledge, or tastes, or intelligence, or any of these contingent properties. Instead, identity must reside in some simple ultimate id with no distinguishing characteristics. Since all instances of the id have exactly the same properties (none) it follows by a swoosh of Leibniz’s Law (don’t watch my hands too closely) that they are all the same id. So by a different route, we have arrived at the same conclusion – we’re all the same person! There’s only one of us after all.

The moral qualities of this theory are obvious: if we’re all the same person then we should all love and help each other out of pure selfishness. Of course we have to take on the chin the fact that at some time in the past, or worse, perhaps in the future, we have been or will be some pretty nasty people. We can take comfort from the fact that we’ve also been, or will be, all the best people who ever lived.

If you don’t like the idea, send your complaints to my daughter. After all, she wrote this – or she will.