Showing posts with label reductionism. Show all posts
Showing posts with label reductionism. Show all posts

Sunday, 22 January 2012

Apocalypse/Nirvana


When the universe wakes up, will it smell the coffee? 
Not everyone is as certain as Ray Kurzweil that the End of History is at hand.

L'observatoire de St-Véran by Сергей'


JULIAN JAYNES rounds out his wonderful The Origins of Consciousness in the Breakdown of the Bicameral Mind with a sanguine remark that the idea of science is rooted in the same impulse that drives religion: the desire for "the Final Answer, the One Truth, the Single Cause".

Nowhere is this impulse better illustrated, or the scientific mien so resemblant of a religious one, than in Ray Kurzweil's hymn to forthcoming technology, The Singularity Is Near. For if ever a man were committed overtly - fervently, even - to such a unitary belief, it is Ray Kurzweil. And the sceptics among our number could hardly have asked for a better example of the pitfalls, or ironies, of such an intellectual fundamentalism: one one hand, this sort of essentialism features prominently in the currently voguish denouncements of the place of religion in contemporary affairs, often being claimed as a knock-out blow to the spiritual disposition. On the other, it is too strikingly similar in its own disposition to be anything of the sort. Ray Kurzweil is every inch the millenarian, only dressed in a lab-coat and not a habit.

Kurzweil believes that the "exponentially accelerating" "advance" of technology has us well on the way to a technological and intellectual utopia/dystopia (this sort of beauty being, though Kurzweil might deny it, decidedly in the eye of the beholder) where computer science will converge on and ultimately transcend biology and, in doing so, will transport human consciousness into something quite literally cosmic. This convergence he terms the "singularity", a point at which he expects with startling certainty that the universe will "wake up", and many immutable limitations of our current sorry existence (including, he seems to say, the very laws of physics) will simply fall away.

Some, your correspondent included, might wonder whether, this being the alternative, our present existence is all that sorry in the first place.

But not Raymond Kurzweil. This author seems to be genuinely excited about a prospect which sounds rather desolate, bordering on the apocalyptic, in those aspects where it manages to transcend sounding simply absurd. Which isn't often. One thing you could not accuse Ray Kurzweil of is a lack of pluck; but there's a fine line between bravado and foolhardiness which, in his enthusiasm, he may have crossed.
“Kurzweil seems to be genuinely excited about a prospect which sounds desolate, bordering on the apocalyptic, where it manages to transcend sounding simply absurd. Which isn’t often.”
His approach to evolution is a good example. He talks frequently and modishly of the algorithmic nature of evolution, but then makes observations not quite out of the playbook, such as: "the key to an evolutionary algorithm ... is defining the problem. ... in biological evolution the overall problem has always been to survive" and "evolution increases order, which may or may not increase complexity".

But to suppose an evolutionary algorithm has "a problem it is trying to solve" - in other words, a design principle - is to emasculate its very power, namely the facility of explaining how a sophisticated phenomenon comes about *without* a design principle. Evolution works because organisms (or genes) have a capacity - not an intent - to replicate themselves. Nor, necessarily, does evolution increase order. It will tend to increase complexity, because the evolutionary algorithm, having no insight, is unable to "perceive" the structural improvements implied in a design simplification. Evolution has no way of rationalising design except by fiat. The adaptation required to replace an overly elaborate design with more effective but simpler one is, to use Richard Dawkins' expression, an implausible step back down "Mount Improbable". That's generally not how evolutionary processes work: over-engineering is legion in nature; economy of design isn't, really.

This sounds like a picky point, but it gets to the nub of Kurzweil's outlook, which is to assume that technology evolves like biological organisms do - that a laser printer, for example, is a direct evolutionary descendent of the printing press. This, I think, is to superimpose a convenient narrative over a process that is not directly analogous: a laser printer is no more a descendent of a printing press than a mammal is a descendent of a dinosaur. Successor, perhaps; descendant, no. But the "exponential increase in progress" arguments that Kurzweil repeatedly espouses depend for their validity on this distinction.

The "evolutionary process" from woodblock printing to the Gutenberg press, to lithography, to hot metal typing, to photo-typesetting, to the ink jet printer (thanks, Wikipedia!) involves what Kurzweil would call "paradigm shifts" but which a biologist might call extinctions; each new technology arrives, supplements and (usually) obliterates the existing ones, not just by doing the same job more effectively, but - and this is critical - by opening up new vistas and possibilities altogether that weren't even conceived of in the earlier technology - sometimes even at the cost of a certain flexibility inherent in the older technology. That is, development is constantly forking off in un-envisaged, unexpected directions. This plays havoc with Kurzweil's loopy idea of a perfect, upwardly arcing parabola of utopian progress.

It is what I call "perspective chauvinism" to judge former technologies by the standards and parameters set by the prevailing orthodoxy - being that of the new technology. Judged by such an arbitrary standard older technologies will, by degrees, necessarily seem more and more primitive and useless. The fallacious process of judging former technologies by subsequently imposed criteria is, in my view, the source of many of Ray Kurzweil's inevitably impressive charts of exponential progress. It isn't that we are progressing ever more quickly onward, but the place whence we have come falls exponentially further away as our technology meanders, like a perpetually deflating balloon, through design space. Our rate of progress doesn't change; our discarded technologies simply seem more and more irrelevant through time.

Kurzweil may argue that the rate of change in technology has increased, and that may be true - but I dare say a similar thing happened at the time of the agricultural revolution and again in the industrial revolution - we got from Stephenson's rocket to the diesel locomotive within 75 years; in the subsequent 97 years the train's evolution been somewhat more sedate. Eventually, the "S" curves Kurzweil mentions flatten out. They clearly aren't exponential, and pretending that an exponential parabola might emerge from a conveniently concatenated series of "S" curves seems credulous to the point of disingenuity. This extrapolation into a single "parabola of best fit" has heavy resonances of the planetary "epicycle", a famously desperate attempt of Ptolemaic astronomers to fit "misbehaving" data into what Copernicans would ultimately convince the world was a fundamentally broken model. 

If this is right, then Kurzweil's corollary assumption - that there is a technological nirvana to which we're ever more quickly headed - commits the inverse fallacy of supposing the questions we will ask in the future - when the universe "wakes up", as he puts it - will be exactly the ones we anticipate now. History would say this is a naïve, parochial, chauvinistic and false assumption. 
“Assuming there is a technological nirvana to which we’re inevitably headed is to suppose the questions we will ask when the universe “wakes up” will be same the ones we ask now. History would say this is a parochial and chauvinistic assumption.”
And that, I think, is the nub of it. One feels somewhat uneasy so disdainfully pooh-poohing a theory put together with such enthusiasm and such an energetic presentation of data (and to be sure, buried in Kurzweil's breathless prose is plenty of learning about technology which, if even half-way right, is fascinating), but that seems to be it. I suppose I am fortified by the nearby predictions made just four years ago, seeming not to have come anything like true just yet:

"By the end of this decade [i.e., by 2010] computers will disappear as distinct physical objects, with displays built in our eyeglasses and electronics woven into our clothing"

On the other hand I could find scant reference to "cloud computing" or equivalent phenomena like the Berkeley Open Infrastructure for Network Computing project which spawned schemes like SETI@home in Kurzweil's book. Now here is a rapidly evolving technological phenotype, for sure: hooking up thousands of serially processing computers into a massive parallel network, giving processing power way beyond any technology currently envisioned. It may be that this adaptation means we simply don't need to incur the mental challenge of molecular transistors and so on, since there must, at some point, be an absolute limit to miniaturisation, as we approach it the marginal utility of developing the necessary technology will swan dive just as the marginal cost ascends to the heavens; whereas the parallel network involves none of those limitations. You can always hook up yet another computer, and every one will increase performance.

I suppose it's easy to be smug as I type on my decidedly physical computer, showing no signs of being superseded with VR Goggles just yet and we're already two yeasrs into the new decade, but the point is that the evolutionary process is notoriously bad at making predictions (until, that is, the results are in!), being path-dependent as it is. You can't predict for developments that haven't yet happened. Kurzweil glosses over this shortfall at his theory's cost.


 

Friday, 20 January 2012

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.

Sunday, 13 June 2010

How to philosophise with a hammer

I am a hopeless handyman. I have poor attention to detail and lack patience. I am disorganised. When hanging a picture, rather than finding a hammer, I bash the tack in with whatever first comes to hand. Recent examples: A tin of Rawleigh's Medicated Ointment (reasonably effective), an ornamental porcelain donkey (bad - it didn't survive) and a book (a hard-backed edition of E. O. Wilson's Consilience: better than nothing, but now pocked with pinholes).


That we tend to do that sort of thing lies at the root of a big problem with the ideas inside Professor Wilson's book (just as well, therefore, it has some use for hammering in picture hooks). Using a familiar object to do an unfamiliar job is rather like coining a metaphor: It's a creative act. As well as being pragmatic, it has its advantages. (It must have some advantages - convenience; it overcomes the lack of botheredness to find the hammer - or you wouldn't do it). But while my tin of ointment (or ornamental donkey, for that matter)  might not be conventional (and, in the donkey's case, might not work awfully well) it's not wrong. It is as good as the job it does. A "proper" tack hammer has been designed, to the exclusion of all other purposes, for hammering in tacks. You can imagine other objects being better or worse at functioning like hammers. Blu-tack, for example, would be hopeless. But not wrong. Just not much use.

And so it is with metaphors:  they deliberately take a conventional concept and put it to work in a concept it wasn't designed for. As a result metaphorical meanings are different from literal meanings (in a manner of speaking) but no worse or better - while they might be more or less effective, effectiveness is in the eye of the beholder.

Often, a metaphor can more elegantly or succinctly some aspects of its "target" (which Julian Jaynes would call a "metaphrand") than a literal construction. "Love is a rose": I suppose you might take this to mean love is a delicate, beautiful, fragile, thing that can prick you if you aren't careful with it. Or that is is a soft, rich and complexly enfolded collection of different facets. These aren't mutually exclusive metaphors, but they're not entirely consistent either. Both of them make some sense, where a literal interpretation of "love is a rose" doesn't.

Now while I was bashing in my picture hook with Professor Wilson's book I got to thinking about what was inside his book, and how Professor Wilson's whole enterprise, his desired end state, is one which overlooks the metaphor. This is some irony as metaphors, and rich ones at that, are scattered prodigally around his text.

Professor Wilson, in Consilience, sees the possibility (not yet arrived) of a unified, unique, continuous, contiguous spectrum of knowledge, encompassing not merely the physics and the physical sciences, but all of the humanities too. In fact, I think he sees the necessity of it. Wilson is an unabashed reductionist. Wilson embraces a hierarchy of physical sciences (physics at the bottom, grounding everything else; Chemistry sitting atop it, Biology atop that, and so on. Higher sciences can be reduced to lower ones; all sciences are consistent with each other, and it is only a lack of data which prevents completion of the total blueprint of the physical universe. Thereafter the social sciences and even the arts will fall into a pre-ordained and logical place and will similarly be logical, consistent and unambiguously explicable. Wilson is excited by this idea (it horrifies me, personally), and sets out in his book to give it some intellectual underpinning.

Wilson is running before he can walk. Metaphor gets in the way - literally, and metaphorically. The same thing happened to Bertrand Russell following a similarly hubristic exercise restricted to the logical underpinnings of mathematics. In the infancy of the twentieth century Russell tried to chart the entirely cosmos of the mathematical universe by reference to a single, finite set of well-defined logical axioms. By limiting himself to numbers, Russell took up an easier challenge, you would think, than Wilson has. Mathematics was, Russell supposed, a closed logical system: finite, reducible and therefore well susceptible to his kind of enterprise.

But Russell failed to complete his mathematical globe. Russell didn't just not manage to get to all points in a large whole; he failed totally: his entire project, so pointed out a precocious young German chap by the name of Goedel, was logically flawed. Doomed.

The reason? Metaphor. Even though Russell had decreed some ad-hoc rules to guard against logical cul-de-sacs - for example, no item was allowed to be a member of its own set - it was possible to run mathematical operations by analogy - metaphorically, in other words, that could tell you things that a literal mathematical operation could not. And any ostensibly complete description of a language which forbade expressions such as "the set of all possible sets" was going to be practically useless anyway. There are some excellent accounts of Goedel's dramatic insight, Douglas Hofstadter's a particularly good one (though his ultimate conclusion seems wildly wrong).

When he does refer to metaphor, Wilson's is a rather unimaginative account: what he describes isn't metaphor so much as definitional drift occasioned by metaphor. To use one of his examples, by the time "plot" - a physical site and a building plan - came to mean "plot" - the narrative structure of a story - any figurative content in the expression had long since evaporated; seawater gone, a residue of salt.

Wilson's idea of a metaphor therefore is a dead one: these are the ones "normal scientists" like, of course, because dead metaphors can't get up and bite you by suggesting what you meant to say might be taken in a number of ways. If there were a substantive distinction between art and scientific literature - and like Wilson, but for radically different reasons, I'm inclined to think there isn't one - it might be found in the systematic exclusion of metaphor from scientific discourse. Science is about exactitude; consensus on a literal way of speaking enhances that end.

But at some cost, and not just in the notorious dullness of scientific literature. Literalness encourages and perhaps compels compliance with orthodoxy. Paul Feyerabend - another conspicuous absentee from Wilson's reading list - makes the inspired observation that scientific revolutions rely on inspired observations: a willingness to disregard the formal language of the discipline. If you stick rigidly to the rules of the prevailing scientific paradigm it is not possible to see, much less formulate, contradictions to it: Anything which looks like a contradiction, by the terms of the theory, must be explicable some other way (wind interference; malfunctioning equipment).

To find a new solution to a conundrum you are forced to use existing concepts in a new way. You can only do it by being creative with your language.

Saturday, 16 May 2009

Where purple fishes run laughing through your fingers?

Quick post this one, apropos of nothing in particular, but on the topic of the poetry of reality.

The quest for truth forces - compels? allures? entices? - the reductionist to atomise: to go back to basics, in a Cartesian fashion, and build your knowledge from there. So, quarks beget atoms beget molecules, and molecules beget cells and so on (I love the ironic Biblical vibe), and in the same way physics begets physical sciences; physics is the rock on which the scientific house is built (there I go again!).

The quick brush off to this is the conceptual limits of empirical way of researching: It proceeds on the basis of imperfect, imcomplete data to sketch rules to understand the rest (and in this way its power is its limitation: if we had perfect, complete data we wouldn't need to model it to predict how it would behave!).

So as we all know the scientific method filters the universe and provides a meaningful structure out of all the sensory data on an intrinscally arbitrary basis.

Which means we can't know for sure that we're looking in the right direction and not overlooking something.

But the process of atomisation systemically misses the significance of any properties which may emerge from aggregations of data: metaphorical structures. To the extent meaning can be constructed from the emergent properties of data, the scientific realist has to deny it is there.