Occam’s Razorburn

Stephen Hawking’s latest book raises far more questions than it answers. Such as, why hasn’t he been reading Thomas Kuhn, and what really is the benefit of unifying theories which don't seem to need unification?

In which we meet yet another first-class scientist who wishes to self-identify as a second-class philosopher and a comedian from the back end of steerage.

Since few will buy A Grand Design for its wit we can forgive Stephen Hawking's appalling attempts to be funny, but it's not so easy to forgive his philosophical ignorance. Certain physical scientists might be better off unacquainted with the modern philosophy of science (though those who know it possess a welcome sense of perspective and humility). But not world-renowned cosmologists. Their field continually bumps up against the boundary of what science even is (and it doesn't have a "no-boundary condition", whatever that might be).

So when Stephen Hawking claims that "philosophy has not kept up with modern science, especially physics" it suggests not only a lack of perspective and humility, but that Hawking has been skipping on some required reading.  Especially since, having written off the discipline, Hawking seems barely acquainted with it. He mentions few philosophers more recent than Rene Descartes (d. 1650). So it is hard to know who he thinks hasn't kept up.

Particularly when Hawking's first grand pronouncement is "model-dependent reality": the idea that there may be alternative ways to model the same physical situation with fundamentally different elements and concepts. "If [such different models] accurately predict the same events, one cannot be said to be more real than the other." Physics has, apparently, been forced into this gambit following recent failures to get unifying calculations to work themselves out. In any case it isn't quite the neat trick Hawking thinks it is.

Firstly, while model-dependent reality might be news to Stephen Hawking (he seems to think it the fruit of modern physics' womb) the philosophers he hasn't been reading have been talking about it for years, if not centuries, to the constant sound of scientists' excoriations. It is even part of Descartes' philosophical fabric (and, more tellingly, Darwin's, but picking a fight with modern evolutionists, while fun, is a story for another day). That is to say, it sounds like it is the physicists who are finally catching up with the philosophers and not the other way around.

Secondly, in the grand game of philosophers' football that Cosmology has become, the model-dependent reality play is something of a surrender before kick-off.  For if it is true that the same phenomenon can be plausibly accounted for in multiple, "incommensurate" (© Thomas Kuhn) ways, then the hard question is not about the truth in itself of any model, but the criteria for determining which of the (potentially infinite) models available we should choose in the first place. 

This question is not one for physics, but metaphysics. It necessarily exists outside any given model (© Paul Feyerabend). Here we meet our old friend, Occam's Razor. This isn't a scientific principle at all, but a pragmatic rule of thumb with no intellectual pedigree: all else being equal, take the simplest explanation. Occam's Razor is a favourite instrument for the torture of hapless Christians by grumpy biologists: all your tricksy afterlife wagers and so on fail because evolution is so much less complicated and has so much more explanatory value than the idea that an omniscient, intangible, invisible, omnipotent entity pulling strings we can't see to make the whole thing go.

But, alas, in seeking a grand unification of things that really aren't asking to be unified, cosmology reveals some almighty snags. Unification under Hawking's programme, if it is even possible, involves slaughtering some big old sacred cows. To name a few: causality, the conventional conception of space-time; the idea that scientific theories should be based on observable data and their outcomes testable. It bows to some truly heinous false idols too. For example: seven invisible space-time dimensions, a huge mass of invisible dark matter, an arbitrary cosmological constant, a potentially infinite array of unobservable universes which wink in and out of existence courtesy of a mathematically inferred "vacuum energy"). Hawking doesn't propose solutions to these problems, but seems to think they're a fair price for achieving grand unification.

I'm not so sure: other than intellectual bragging rights, the resulting unified theory has no obvious marginal utility. And it has political drawbacks: believing one's model to be the truth carries potentially unpleasant implications for the suppression of those who don't.

There are practical drawbacks, too. We are asked to reject existing theories, which still have quite a lot of utility, in favour of something that it infinitely harder to understand and work with. The accelerating expansion of the universe without any apparent acting force seems to violate Newton's second law of motion. Without an outrageous end-run, the first nanosecond of the Big Bang (wherein the universe is obliged to expand in size by ten squillion kilometres - i.e. far faster than the speed of light) seems to violate the fundamentals of general relativity. String theory requires seven necessarily unobservable space-time dimensions and/or entirely different universes, and even then doesn't yield a single theory but millions of the blighters, all slightly inconsistent with each other (hence the appeal to "model dependent reality).

From the camp which wielded Occam's Razor so heartily against the Christians, this seems a bit rich. If these are the options, then the razor might slice in favour of the big guy with the beard.

But these aren't the options. We could save a lot of angst, and perhaps could have avoided digging trillion dollar circular tunnel under Geneva, had we employed model dependent reality the way the philosophers saw it and not the scientists (and shouldn't we call a spade a spade and label it cognitive relativism, by the way?). Since it crossed the event horizon of observability modern cosmology has become arcane, stunt-mathematics. If there were a chance that it might deliver time-travel, hyperspace or a tool for locating wormholes to other galaxies or universes then one could see the point in this intellectual onanism. But none of that seems to be allowed. So we should therefore ask the question "but why? What's the point? What progress do you promise that we can't achieve some other way?" No one seems to be able to answer that question.

But if we park it, what's left of Stephen Hawking's latest book is some pretty ropey jokes.

The End – or the Start – of Ignorance

 

E.O. Wilson is just the latest biologist to try turning the base metal of scientific induction into the spun gold of existential truth. What is the allure of religious certainty for these folks, and why they can’t heed the lessons of their own discipline?

I’ve made  the observation before that scientists - especially biologists - make lousy philosophers, and it doesn’t take long for Professor E. O. Wilson - one of evolutionary biology’s most prominent lights - to place himself squarely in that camp.

“No one should suppose,” he asserts, “that objective truth is impossible to attain, even when the most committed philosophers urge us to acknowledge that incapacity. In particular it is too early for scientists, the foot soldiers of epistemology, to yield ground so vital to their mission. ... No intellectual vision is more important and daunting than that of objective truth based on scientific understanding.”

On the other hand not long afterwards, apparently without intending the irony with which the statement overflows, he says, “People are innate romantics, they desperately need myth and dogma.”

None more so, it would seem, that philosophising evolutionary biologists. 

Wilson’s Consilience is a long essay on objective truth that - per the above quotation, gratuitously misunderstands what epistemology even is, whilst at the same time failing to mention (except in passing) any of its most important contributors - the likes of Wittgenstein, Kuhn, Quine, Rorty or even dear old Popper. Instead, Wilson characterises objections to his extreme reductionism as “leftist” thought including - and I quote - “Afrocentrism, ‘critical’ (i.e., socialist) science, deep ecology, ecofeminism, Lacanian psychoanalysis, Latourian sociology of science and neo-Marxism.”

Ad hominem derision is about the level of engagement you’ll get, and the only concession - a self-styled “salute” to the postmodernists - is “their ideas are like sparks from firework explosions that travel away in all directions, devoid of following energy, soon to wink out in the dimensionless dark. Yet a few will endure long enough to cast light on unexpected subjects.” You could formulate a more patronising disposition, I suppose, but it would take some work.

“You could formulate a more patronising disposition, I suppose, but it would take some work.”

What is extraordinary is that of all scientists, a biologist should be so insensitive to the contingency of knowledge, as this is the exact lesson evolutionary theory teaches: it’s not the perfect solution that survives, but the most effective. There is no “ideal organism”.

In support of his own case, Wilson refers at some length to the chimerical nature of consciousness (taking Daniel Dennett’s not uncontroversial account more or less as read). But there is a direct analogy here: Dennett’s model of consciousness stands in the same relation to the material brain as Wilson’s consilience stands to the physical universe. Dennett says consciousness is an illusion - a trick of the mind, if you like (and rather wilfully double-parks the difficult question “a trick on whom?”).

But by extension, could not consilience also be a trick of the mind? Things look like they’re ordered, consistent and universal because that’s how we’re wired to see them. Our evolutionary development (fully contingent and path-dependent, as even Wilson would agree) has built a sensory apparatus which filters the information in the world in a way which is ever-more effective.  That’s the clever trick of evolutionary development. If it is of adaptive benefit to apprehend “the world” as a consistent, coherent whole, then as long as that coherent whole accounts effectively for our physiologically meaningful experiences, then its relation to “the truth” is really beside the point.

When I run to catch a cricket ball on the boundary no part of my brain solves differential equations to catch it (I don’t have nearly enough information to do that), and no immutable, unseen cosmic machine calculates those equations to plot its trajectory either. Our mathematical model is a clever proxy, and we shouldn’t be blinded by its elegance or apparent accuracy (though, in point of fact, practically it isn’t that accurate) into assuming it somehow reveals an ineffable truth. This isn’t a new or especially controversial objection, by the way: this was one of David Hume’s main insights - an Enlightenment piece of enlightenment, if you will. As a matter of logic, there must be alternate ways of describing the same phenomena, and if you allow yourself to implement different rules to solve the puzzle, the set of coherent alternative solutions is infinite.

“It is extraordinary that a biologist should be so insensitive to the contingency of knowledge, it being the exact lesson of evolutionary theory.” 

So our self-congratulation at the cleverness of the model we have arrived at (and, sure, it is very clever) shouldn’t be overdone. It isn’t the “truth” - it’s an effective proxy, and there is a world of difference between the two. And there are uncomfortable consequences of taking the apparently harmless step of conflating them.

For one thing, “consilience” tends to dissuade inquiry: if we believe we have settled on an ineffable truth, then further discussion can only confuse and endanger our grip on it. It also gives us immutable grounds for arbitrating against those who hold an “incorrect” view. That is, to hold forth a theory which is inconsistent with the mainstream “consiliated” view is wasteful and given it has the potential to lead us away from the “true” path, may legitimately be suppressed.

You can see this style of reasoning being employed by two groups already: militant religious fundamentalists, and militant atheists. Neither is prepared to countenance the pluralistic, pragmatic (and blindingly obvious) view that there are not just many different *ways* of looking at the world but many different *reasons* for doing so, and each has its own satisfaction criteria. While these opposing fundamentalists go hammer and tongs against each other, their similarities are greater than their differences, and their greatest similarity is that neither fully comprehends, and as a consequence neither takes seriously, the challenge of the “postmodern” strands of thought against which they’re aligned.

Hence, someone like Wilson can have the hubris to say things like: “Yet I think it is fair to say that enough is known to justify confidence in the principle of universal rational consilience across all the natural sciences”

Try telling that to Kurt Gödel or Bertrand Russell, let alone Richard Rorty or Jacques Derrida.

Vanquishing magic by sleight of hand

Douglas Hofstadter’s essay on the incompleteness of “loopy” logical systems starts out brightly, but makes a disappointing and strangely unimaginative resort to reductionism in the end. Pity.

Philosophy, to those who are disdainful of it, is a sucker for a priori sleights of hand: purely logical arguments which do not rely for grip on empirical reality, but purport to explain it all the same: chestnuts like “cogito ergo sum”, from which Descartes concluded a necessary distinction between a non-material soul and the rest of the world.

Douglas Hofstadter is not a philosopher (though he’s friends with one), and in I am a Strange Loop he is mightily disdainful of the discipline and its weakness for cute logical constructions. All of metaphysics is so much bunk, says Hofstadter, and he sets out to demonstrate this using the power of mathematics and in particular the fashionable power of Gödel’s incompleteness theory.

Observers may pause and reflect on an irony at once: Hofstadter’s method - derived a priori from the pure logical structure of mathematics - looks suspiciously like those tricksy metaphysical musings on which he heaps derision. As his book proceeds this irony only sharpens.

But I’m getting ahead of myself, for I started out enjoying this book immensely. Until about halfway I thought I’d award it five stars - but then found it increasingly unconvincing and glib, notably at the point where Hofstadter leaves his (absolutely fascinating) mathematical theorising behind and begins applying it. He believes that from purely logical contortion one may derive a coherent account of consciousness (a purely physical phenomenon) robust enough to bat away any philosophical objections, dualist or otherwise.

Note, with another irony, his industry here: to express the physical parameters of a material thing - a brain - in terms of purely non-material apparatus (a conceptual language). In the early stages, Professor Hofstadter brushes aside reductionist objections to his scheme which is, by definition, an emergent property of, and therefore unobservable in, the interactions of specific nerves and neurons. Yet late in his book he is at great pains to say that that same material thing cannot, by dint of the laws of physics, be pushed around by a non material thing (being a soul), and that configurations of electrons correspond directly to particular conscious states in what seems a rigorously deterministic way (Hofstadter brusquely dismisses conjectures that your red might not be the same as mine). Without warning, in his closing pages, Hofstadter seems to declare himself a behaviourist. Given the excellent and enlightening work of his early chapters, this comes as a surprise and a disappointment to say the least.

Hofstadter’s exposition of Gödel’s theory is excellent and its application in the idea of the “Strange Loop” is fascinating. He spends much of the opening chapters grounding this odd notion, which he says is the key to understanding consciousness as a non-mystical, non-dualistic, scientifically respectable and physically explicable phenomenon. His insight is to root consciousness not in the physical manifestation of the brain, but in the patterns and symbols represented within it. This, I think, is all he needs to establish to win his primary argument, namely that Artificial Intelligence is a valid proposition. But he is obliged to go on because, like Darwin’s Dangerous Idea, the Strange Loop threatens to operate like a universal acid and cut through many cherished and well-established ideas. Alas, some of these ideas seem to be ones Douglas Hofstadter is not quite ready to let go. Scientific realism, for example.

The implication of the Strange Loop, which I don’t think Hofstadter denies, is that a string of symbols, provided it is sufficiently complex (and “loopy”) can be a substrate for a consciousness. That is a Neat Idea (though I’m not persuaded it’s correct: Hofstadter’s support for it is only conceptual, and involves little more than hand-waving and appeals to open-mindedness.

“Perhaps, rather than slamming the door on mysticism, Hofstadter has unwittingly blown it wide open. After all, why stop at human consciousness as a complex system?” 

But all the same, some strange loops began to occur to me here. Perhaps rather than slamming the door on mysticism, Douglas Hofstadter has unwittingly blown it wide open. After all, why stop at human consciousness as a complex system? Conceptually, perhaps, one might be able to construct a string of symbols representing God. Would it even need a substrate? Might the fact that it is conceptually possible mean that God therefore exists?

I am being mendacious, I confess. But herein lie the dangers (or irritations) of tricksy a priori contortions. However, Professor Hofstadter shouldn’t complain: he started it.

Less provocatively, perhaps a community of interacting individuals, like a city - after all, a more complex system than a single one, QED - might also be conscious. Perhaps there are all sorts of consciousnesses which we can’t see precisely because they emerge at a more abstract level than the one we occupy.

This might seem far-fetched, but the leap of faith it requires isn’t materially bigger than the one Hofstadter explicitly requires us to make. He sees the power of Gödel’s insight being that symbolic systems of sufficient complexity (“languages” to you and me) can operate on multiple levels, and if they can be made to reference themselves, the scope for endless fractalising feedback loops is infinite. The same door that opens the way to consciousness seems to let all sorts of less appealing apparitions into the room: God, higher levels of consciousness and sentient pieces of paper bootstrap themselves into existence also.

This seems to be a Strange Loop Too Far, and as a result we find Hofstadter ultimately embracing the reductionism of which he was initially so dismissive, veering violently towards determinism and concluding with a behavioural flourish that there is no consciousness, no free will, and no alternative way of experiencing red. Ultimately he asserts a binary option: unacceptable dualism with all the fairies, spirits, spooks and logical lacunae it implies, or a pretty brutal form of determinist materialism.

There’s yet another irony in all this, for he has repeatedly scorned Bertrand Russell’s failure to see the implications of his own formal language, while apparently making a comparable failure to understand the implications of his own model. Strange Loops allow - guarantee, in fact - multiple meanings via analogy and metaphors, and provide no means of adjudicating between them. They vitiate the idea of transcendental truth which Hofstadter seems suddenly so keen on. The option isn’t binary at all: rather, it’s a silly question.

In essence, all interpretations are metaphorical; even the “literal” ones. Neuroscience, with all its gluons, neurons and so on, is just one more metaphor which we might use to understand an aspect of our world. It will tell us much about the brain, but very little about consciousness, seeing as the two operate on quite different levels of abstraction.

To the extent, therefore, that Douglas Hofstadter concludes that the self is that is an illusion his is a wholly useless conclusion. As he acknowledges, “we” are doomed to “see” the world in terms of “selves”; an a priori sleight-of-hand, no matter how cleverly constructed, which tells us that we’re wrong about that (and that we’re not actually here at all!) does us no good at all. Neurons, gluons and strange loops have their place - in many places this is a fascinating book, after all - but they won’t give us any purchase on this debate.

The land of colloidal suspensions and monosaccharides

Is the cosmologist’s yearn for unification a religious impulse?

In this period of transition from its religious basis, science often shares with the celestial maps of astrology, or a hundred other irrationalisms, the same nostalgia for the Final Answer, the One Truth, the Single Cause.

- Julian Jaynes

In the cultural troposphere we frequently encounter great, conclusive quests: for the Grail, the End of History, Nirvana, Sunlit Uplands, a Grand Unifying Theory, the Final Reckoning, a Universal Acid, the Promised Land, a paradise of virgins, the Land of Milk and Honey, the Great Day of Judgement – the Singularity – as these if are things we should expect imminently, or at least one day hope to see.

Our collected values – these tales we retell ourselves compulsively – reinforce and hammer home the idea of an eventual conclusion to our labour: in literature the mythical archetype identified by Joseph Campbell is consciously and accidentally replicated in many of the stories we tell ourselves. 

The unvarying narrative is linear progression goes, roughly, like so: imbalance, challenge, fortitude, reckoning and, at the very last, final victory and dominion. Even Campbell’s “mono-myth” itself takes this form of unification: it is an uncomfortable shoe-horning of geographically and linguistically dispersed creation myths, that don’t quite fit, into a single archetypal story.

Mythical stories, of course, tend not to ask “and then what?” The archetype refuses to consider these very consequences (naturally: it assumes there are no more consequences). This bleeds into our metaphysics. We are acculturated to yearn for “closure”. It suits us to suppose we’re headed somewhere, that whether or not we personally live to feast our eyes upon the promised land, at least our descendants will. (Are we fated, like Moses, to be denied at the last, our greatest pleasure to watch from a distance? And was this really a disappointment for him? Did Moses not go to heaven?)

We predicate our existence on that hope: While we, personally, may fall by the wayside our struggle will not have been in vain.

This Will to Closure is a religious idea. We know – well, we ought to, by now – that there is no cure for war; that solutions create problems, reward takes risk, supply creates demand, fulfilment creates expectation. The land of milk and honey is a terrifying idea (what would we do all day? Just eat? Would we apprehend a need for literature? Art? Discourse? Change? Why?), it is also an absurd one, because what we call milk and honey is precisely what be believe to be just somewhat out of our reach. Gold’s intrinsic worth is its very scarcity.

So whatever Heaven might be, we know it can’t be filled with only compliant virgins and winged granddads plucking on harps. That would be ghastly, and heaven isn’t ghastly, Q.E.D. There will be strife, discord, bitterness and fury because on these things, despite ourselves, we thrive. Life is the very process of solving these problems, answering these questions.

“The land of milk and honey is a terrifying idea. What would we do all day? Just eat?”

 
The Will to Closure is an indulgence though; we truck with it only because, deep down, we know it to be misconceived. We can’t have it, and we wouldn’t want it if we could. Who wants a final solution?

So much for the religious Will to Closure. But there is a scientific analogue: the aspiration to grand theoretical unification: call it the Will to Reduction. This is the proposition that Science is a singular, proper noun, that it will accordingly eventually yield a single, coherent, closed system of rules; a complete operating manual for the universe.

This is no less religious an idea. 

To be sure, the Will to Reduction is a noble quest, but its practical importance is in its aspiration and not its outcome. It generates useful practical tools as a by-product. The prospect that Science might actually reach a conclusion would be as catastrophic as the great day of judgement, were it not as equally absurd:

For what would we then do? Our lot would be as dismal as an entrant’s to heaven. All knowledge, all fiction, all superfluity, all contingency would cancel out to a common factor, and a single, integrated über machine would be left; a super brain. What would remain would be no different from God, and in a final hot blast of logic we should redundantly shrivel and evaporate in His sight, the question WHY AM I HERE? having been answered, without irony or compassion, AS OF NOW, YOU’RE NOT.

Absurd, of course, because such an extrapolation isn’t possible. Like our moral knowledge, or technological knowledge is path-dependent, contingent on the questions we want to ask. The contingency of knowledge is fundamental to its acquisition, and to its use. 

It's a Dappled World, as Nancy Cartwright put it, and thank the Lord (if you'll excuse the expression) for that.