The Mathematician and the Surgeon

Commuting days until retirement: 108

After my last post, which, among other things, compared differing attitudes to death and its aftermath (or absence of one) on the part of Arthur Koestler and George Orwell, here’s another fruitful comparison. It seemed to arise by chance from my next two commuting books, and each of the two people I’m comparing, as before, has his own characteristic perspective on that matter. Unlike my previous pair both could loosely be called scientists, and in each case the attitude expressed has a specific and revealing relationship with the writer’s work and interests.

The Mathematician

The first writer, whose book I came across by chance, has been known chiefly for mathematical puzzles and games. Martin Gardner was born in Oklahoma USA in 1914; his father was an oil geologist, and it was a conventionally Christian household. Although not trained as a mathematician, and going into a career as a journalist and writer, Gardner developed a fascination with mathematical problems and puzzles which informed his career – hence the justification for his half of my title.

Martin Gardner

Gardner as a young man (Wikimedia)

This interest continued to feed the constant books and articles he wrote, and he was eventually asked to write the Scientific American column Mathematical Games which ran from 1956 until the mid 1980s, and for which he became best known; his enthusiasm and sense of fun shines through the writing of these columns. At the same time he was increasingly concerned with the many types of fringe beliefs that had no scientific foundation, and was a founder member of PSICOPS,  the organisation dedicated to the exposing and debunking of pseudoscience. Back in February last year I mentioned one of its other well-known members, the flamboyant and self-publicising James Randi. By contrast, Gardner was mild-mannered and shy, averse from public speaking and never courting publicity. He died in 2010, leaving behind him many admirers and a two-yearly convention – the ‘Gathering for Gardner‘.

Before learning more about him recently, and reading one of his books, I had known his name from the Mathematical Games column, and heard of his rigid rejection of things unscientific. I imagined some sort of skinflint atheist, probably with a hard-nosed contempt for any fanciful or imaginative leanings – however sane and unexceptionable they might be – towards what might be thought of as things of the soul.

How wrong I was. His book that I’ve recently read, The Whys of a Philosophical Scrivener, consists of a series of chapters with titles of the form ‘Why I am not a…’ and he starts by dismissing solipsism (who wouldn’t?) and various forms of relativism; it’s a little more unexpected that determinism also gets short shrift. But in fact by this stage he has already declared that

I myself am a theist (as some readers may be surprised to learn).

I was surprised, and also intrigued. Things were going in an interesting direction. But before getting to the meat of his theism he spends a good deal of time dealing with various political and economic creeds. The book was written in the mid 80s, not long before the collapse of communism, which he seems to be anticipating (Why I am not a Marxist) . But equally he has little time for Reagan or Thatcher, laying bare the vacuity of their over-simplistic political nostrums (Why I am not a Smithian).

Soon after this, however, he is striding into the longer grass of religious belief: Why I am not a Polytheist; Why I am not a Pantheist; – so what is he? The next chapter heading is a significant one: Why I do not Believe the Existence of God can be Demonstrated. This is the key, it seems to me, to Gardner’s attitude – one to which I find myself sympathetic. Near the beginning of the book we find:

My own view is that emotions are the only grounds for metaphysical leaps.

I was intrigued by the appearance of the emotions in this context: here is a man whose day job is bound up with his fascination for the powers of reason, but who is nevertheless acutely conscious of the limits of reason. He refers to himself as a ‘fideist’ – one who believes in a god purely on the basis of faith, rather than any form of demonstration, either empirical or through abstract logic. And if those won’t provide a basis for faith, what else is there but our feelings? This puts Gardner nicely at odds with the modish atheists of today, like Dawkins, who never tires of telling us that he too could believe if only the evidence were there.

But at the same time he is squarely in a religious tradition which holds that ultimate things are beyond the instruments of observation and logic that are so vital to the secular, scientific world of today. I can remember my own mother – unlike Gardner a conventional Christian believer – being very definite on that point. And it reminds me of some of the writings of Wittgenstein; Gardner does in fact refer to him,  in the context of the freewill question. I’ll let him explain:

A famous section at the close of Ludwig Wittgenstein’s Tractatus Logico-Philosophicus asserts that when an answer cannot be put into words, neither can the question; that if a question can be framed at all, it is possible to answer it; and that what we cannot speak about we should consign to silence. The thesis of this chapter, although extremely simple and therefore annoying to most contemporary thinkers, is that the free-will problem cannot be solved because we do not know exactly how to put the question.

This mirrors some of my own thoughts about that particular philosophical problem – a far more slippery one than those on either side of it often claim, in my opinion (I think that may be a topic for a future post). I can add that Gardner was also on the unfashionable side of the question which came up in my previous post – that of an afterlife; and again he holds this out as a matter of faith rather than reason. He explores the philosophy of personal identity and continuity in some detail, always concluding with the sentiment ‘I do not know. Do not ask me.’ His underlying instinct seems to be that there has to something more than our bodily existence, given that our inner lives are so inexplicable from the objective point of view – so much more than our physical existence. ‘By faith, I hope and believe that you and I will not disappear for ever when we die.’ By contrast, Arthur Koestler, you may remember,  wrote in his suicide note of ‘tentative hopes for a depersonalised afterlife’ – but, as it turned out, these hopes were based partly on the sort of parapsychological evidence which was anathema to Gardner.

And of course Gardner was acutely aware of another related mystery – that of consciousness, which he finds inseparable from the issue of free will:

For me, free will and consciousness are two names for the same thing. I cannot conceive of myself being self-aware without having some degree of free will… Nor can I imagine myself having free will without being conscious.

He expresses utter dissatisfaction with the approach of arch-physicalists such as Daniel Dennett, who,  as he says,  ‘explains consciousness by denying that it exists’. (I attempted to puncture this particular balloon in an earlier post.)

Martin Gardner

Gardner in later life (Konrad Jacobs / Wikimedia)

Gardner places himself squarely within the ranks of the ‘mysterians’ – a deliberately derisive label applied by their opponents to those thinkers who conclude that these matters are mysteries which are probably beyond our capacity to solve. Among their ranks is Noam Chomsky: Gardner cites a 1983 interview with the grand old man of linguistics,  in which he expresses his attitude to the free will problem (scroll down to see the relevant passage).

The Surgeon

And so to the surgeon of my title, and if you’ve read one of my other blog posts you will already have met him – he’s a neurosurgeon named Henry Marsh, and I wrote a post based on a review of his book Do No Harm. Well, now I’ve read the book, and found it as impressive and moving as the review suggested. Unlike many in his profession, Marsh is a deeply humble man who is disarmingly honest in his account about the emotional impact of the work he does. He is simultaneously compelled towards,  and fearful of, the enormous power of the neurosurgeon both to save and to destroy. His narrative swings between tragedy and elation, by way of high farce when he describes some of the more ill-conceived management ‘initiatives’ at his hospital.

A neurosurgical operation

A neurosurgical operation (Mainz University Medical Centre)

The interesting point of comparison with Gardner is that Marsh – a man who daily manipulates what we might call physical mind-stuff – the brain itself – is also awed and mystified by its powers:

There are one hundred billion nerve cells in our brains. Does each one have a fragment of consciousness within it? How many nerve cells do we require to be conscious or to feel pain? Or does consciousness and thought reside in the electrochemical impulses that join these billions of cells together? Is a snail aware? Does it feel pain when you crush it underfoot? Nobody knows.

The same sense of mystery and wonder as Gardner’s; but approached from a different perspective:

Neuroscience tells us that it is highly improbable that we have souls, as everything we think and feel is no more or no less than the electrochemical chatter of our nerve cells… Many people deeply resent this view of things, which not only deprives us of life after death but also seems to downgrade thought to mere electrochemistry and reduces us to mere automata, to machines. Such people are profoundly mistaken, since what it really does is upgrade matter into something infinitely mysterious that we do not understand.

Henry Marsh

Henry Marsh

This of course is the perspective of a practical man – one who is emphatically working at the coal face of neurology, and far more familiar with the actual material of brain tissue than armchair speculators like me. While I was reading his book, although deeply impressed by this man’s humanity and integrity, what disrespectfully came to mind was a piece of irreverent humour once told to me by a director of a small company I used to work for which was closely connected to the medical industry. It was a sort of a handy cut-out-and-keep guide to the different types of medical practitioner:

Surgeons do everything and know nothing. Physicians know everything and do nothing. Psychiatrists know nothing and do nothing.  Pathologists know everything and do everything – but the patient’s dead, so it’s too late.

Grossly unfair to all to all of them, of course, but nonetheless funny, and perhaps containing a certain grain of truth. Marsh, belonging to the first category, perhaps embodies some of the aversion from dry theory that this caricature hints at: what matters to him ultimately, as a surgeon, is the sheer down-to-earth physicality of his work, guided by the gut instincts of his humanity. We hear from him about some members of his profession who seem aloof from the enormity of the dangers it embodies, and seem able to proceed calmly and objectively with what he sees almost as the detachment of the psychopath.

Common ground

What Marsh and Gardner seem to have in common is the instinct that dry, objective reasoning only takes you so far. Both trust the power of their own emotions, and their sense of awe. Both, I feel, are attempting to articulate the same insight, but from widely differing standpoints.

Two passages, one from each book, seem to crystallize both the similarities and differences between the respective approaches of the two men, both of whom seem to me admirably sane and perceptive, if radically divergent in many respects. First Gardner, emphasising in a Wittgensteinian way how describing how things appear to be is perhaps a more useful activity than attempting to pursue any ultimate reasons:

There is a road that joins the empirical knowledge of science with the formal knowledge of logic and mathematics. No road connects rational knowledge with the affirmations of the heart. On this point fideists are in complete agreement. It is one of the reasons why a fideist, Christian or otherwise, can admire the writings of logical empiricists more than the writings of philosophers who struggle to defend spurious metaphysical arguments.

And now Marsh – mystified, as we have seen, as to how the brain-stuff he manipulates daily can be the seat of all experience – having a go at reading a little philosophy in the spare time between sessions in the operating theatre:

As a practical brain surgeon I have always found the philosophy of the so-called ‘Mind-Brain Problem’ confusing and ultimately a waste of time. It has never seemed a problem to me, only a source of awe, amazement and profound surprise that my consciousness, my very sense of self, the self which feels as free as air, which was trying to read the book but instead was watching the clouds through the high windows, the self which is now writing these words, is in fact the electrochemical chatter of one hundred billion nerve cells. The author of the book appeared equally amazed by the ‘Mind-Brain Problem’, but as I started to read his list of theories – functionalism, epiphenomenalism, emergent materialism, dualistic interactionism or was it interactionistic dualism? – I quickly drifted off to sleep, waiting for the nurse to come and wake me, telling me it was time to return to the theatre and start operating on the old man’s brain.

I couldn’t help noticing that these two men – one unconventionally religious and the other not religious at all – seem between them to embody those twin traditional pillars of the religious life: faith and works.

Consciousness 3 – The Adventures of a Naive Dualist

Commuting days until retirement: 408

A long gap since my last post: I can only plead lack of time and brain-space (or should I say mind-space?). Anyhow, here we go with Consciousness 3:

Coronation

A high point for English Christianity in the 50s: the Queen’s coronation. I can remember watching it on a relative’s TV at the age of 5

I think I must have been a schoolboy, perhaps just a teenager, when I was first aware that the society I had been born into supported two entirely different ways of looking at the world. Either you believed that the physical world around us, sticks, stones, fur, skin, bones – and of course brains – was all that existed; or you accepted one of the many varieties of belief which insisted that there was more to it than that. My mental world was formed within the comfortable surroundings of the good old Church of England, my mother and father being Christians by conviction and by social convention, respectively. The numinous existed in a cosy relationship with the powers-that-were, and parents confidently consigned their children’s dead pets to heaven, without there being quite such a Santa Claus feel to the assertion.

But, I discovered, it wasn’t hard to find the dissenting voices. The ‘melancholy long withdrawing roar’ of the ‘sea of faith’ which Matthew Arnold had complained about in the 19th century was still under way, if you listened out for it. Ever since Darwin, and generations of physicists from Newton onwards, the biological and physical worlds had appeared to get along fine without divine support; and even in my own limited world I was aware of plenty of instances of untimely deaths of innocent sufferers, which threw doubt on God’s reputedly infinite mercy.

John Robinson

John Robinson, Bishop of Woolwich (Church Times)

And then in the 1960s a brick was thrown into the calm pool of English Christianity by a certain John Robinson, the Bishop of Woolwich at the time. It was a book called Honest to God, which sparked a vigorous debate that is now largely forgotten. Drawing on the work of other radical theologians, and aware of the strong currents of atheism around him, Robinson argued for a new understanding of religion. He noted that our notion of God had moved on from the traditional old man in the sky to a more diffuse being who was ‘out there’, but considered that this was also unsatisfactory. Any God whom someone felt they had proved to be ‘out there’ “would merely be a further piece of existence, that might conceivably have not been there”. Rather, he says, we must approach from a different angle.

God is, by definition, ultimate reality. And one cannot argue whether ultimate reality exists.

My pencilled zig-zags in the margin of the book indicate that I felt there was something wrong with this at the time. Later, after studying some philosophy, I recognised it as a crude form of Anselm’s ontological argument for the existence of God, which is rather more elegant, but equally unsatisfactory. But, to be fair, this is perhaps missing the point a little. Robinson goes on to say that “one can only ask “what ultimate reality is like – whether it… is to be described in personal or impersonal categories.” His book proceeds to develop the notion of God as in some way identical with reality, rather than as a special part of it. One might cynically characterise this as a response to atheism of the form “if you can’t beat them, join them” – hence the indignation that the book stirred in religious circles.

Teenage reality

But, leaving aside the well worn blogging topic of the existence of God, there was the teenage me, still wondering about ‘ultimate reality’, and what on earth, for want of a better expression, that might be. Maybe the ‘personal’ nature of reality which Robinson espoused was a clue. I was a person, and being a person meant having thoughts, experiences – a self, or a subjective identity.  My experiences seemed to be something quite other from the objective world described by science – which, according to the ‘materialists’ of the time, was all that there was. What I was thinking of then was the topic of my previous post, Consciousness 2 – my qualia, although I didn’t know that word at the time. So yes, there were the things around us (including our own bodies and brains), our knowledge and understanding of which had been, and was, advancing at a great rate. But it seemed to me that no amount of knowledge of the mechanics of the world could ever explain these private, subjective experiences of mine (and I assumed, of others). I was always strongly motivated to believe that there was no limit to possible knowledge – however much we knew, there would always be more to understand. Materialsm, on the other hand, seemed to embody the idea of a theoretically finite limit to what could be known – a notion which gave me a sense of claustrophobia (of which more in a future post).

So I made my way about the world, thinking of my qualia as the armour to fend off the materialist assertion that physics was the whole story. I had something that was beyond their reach: I was a something of a young Cartesian, before I had learned about Descartes. It was a another few years before ‘consciousness’ became a legitimate topic of debate in philosophy and science. One commentator I have read dates this change to the appearance of Nagel’s paper What is it like to be a Bat in 1973, which I referred to in Consciousness 1. Seeing the debate emerging, I was tempted to preen myself with the horribly arrogant thought that the rest of the world had caught up with me.

The default position

Philosophers and scientists are still seeking to find ways of assimilating consciousness to physics: such physicalism, although coming in a variety of forms, is often spoken of as the default, orthodox position. But although my perspective has changed quite a lot over the years, my fundamental opposition to physicalism has not. I am still at heart the same naive dualist I was then. But I am not a dogmatic dualist – my instinct is to believe that some form of monism might ultimately be true, but beyond our present understanding. This consigns me into another much-derided category of philosophers – the so-called ‘mysterians’.

But I’d retaliate by pointing out that there is also a bit of a vacuum at the heart of the physicalist project. Thoughts and feelings, say its supporters, are just physical things or events, and we know what we mean by that, don’t we? But do we? We have always had the instinctive sense of what good old, solid matter is – but you don’t have to know any physics to realise there are problems with the notion. If something were truly solid it would entail that it was infinitely dense – so the notion of atomism, starting with the ancient Greeks, steadily took hold. But even then, atoms can’t be little solid balls, as they were once imagined – otherwise we are back with the same problem. In the 20th century, atomic physics confirmed this, and quantum theory came up with a whole zoo of particles whose behaviour entirely conflicted with our intuitive ideas gained from experience; and this is as you might expect, since we are dealing with phenomena which we could not, in principle, perceive as we perceive the things around us. So the question “What are these particles really like?” has no evident meaning. And, approaching the problem from another standpoint, where psychology joins hands with physics, it has become obvious that the world with which we are perceptually familiar is an elaborate fabrication constructed by our brains. To be sure, it appears to map on to the ‘real’ world in all sorts of ways, but has qualities (qualia?) which we supply ourselves.

Truth

So what true, demonstrable statements can be made about the nature of matter? We are left with the potently true findings – true in the the sense of explanatory and predictive power – of quantum physics. And, when you’ve peeled away all the imaginative analogies and metaphors, these can only be expressed mathematically. At this point, rather unexpectedly, I find myself handing the debate back to our friend John Robinson. In a 1963 article in The Observer newspaper, heralding the publication of Honest to God, he wrote:

Professor Herman Bondi, commenting in the BBC television programme, “The Cosmologists” on Sir James Jeans’s assertion that “God is a great mathematician”, stated quite correctly that what he should have said is “Mathematics is God”. Reality, in other words, can finally be reduced to mathematical formulae.

In case this makes Robinson sound even more heretical than he in fact was, I should note that he goes on to say that Christianity adds to this “the deeper reliability of an utterly personal love”. But I was rather gratified to find this referral to the concluding thoughts of my post by the writer I quoted at the beginning.

I’m not going to speculate any further into such unknown regions, or into religious belief, which isn’t my central topic. But I’d just like to finish with the hope that I have suggested that the ‘default position’ in current thinking about the mind is anything but natural or inevitable.

Gardening Leave

Commuting days until retirement: 499

A cold, windy garden, seen from a warm study

A cold, windy garden seen from a warm study

A day off, supposedly to do some gardening, but the sub-zero wind is keeping me indoors. Delicate plants, we office workers.

A chance, at any rate, to reflect on that back and forth journey that the rest of my fellow commuters have resumed for the week. When you look at all those other blank faces on the train, you do wonder about what’s behind them. When they look around at their fellow passengers (carefully, so as not to catch anyone’s eye), what are they thinking about this repetitive enterprise that we are all involved in? Why does it take place – beyond, that is, our individual needs to make a living? Backwards and forwards – reciprocal motion, like the pistons in a car engine. The pistons keep the car moving, irrespective of where it’s going, and of course we commuters, busy driving the engine of society, have no more idea than do the pistons where our vehicle is headed.

No doubt that is unfair to some, who have occupations with a very explicit social purpose. But I’d guess that the majority of us work for private companies, and are driven by the profit motive – a force as amoral as the torque of the car engine, which may be propelling the car towards sunlit uplands of some sort – or over a cliff edge. The difference in our case, of course, is that there’s no driver, no consciously directed intention, no steering wheel.

Or is there? Here we could head into either politics or religion, those two traditionally taboo topics of polite conversation. But it’s religion I’m thinking of. A few posts ago I referred to a Bible-reading passenger sitting right next to me on the train. I see such people regularly, and no doubt they are quite clear about the purpose question. But the rest of us?

Winning the argument

It seems as if the atheists are currently winning the argument. Once rather less focused, nowadays they have some strident and articulate standard-bearers. This has perhaps lent some conviction to the waverers among us. There was a time when religion, for most, was more of a social badge. My father, for instance, would unhesitatingly write “C of E” (Church of England) on any form that asked for religion, but would never be seen in a church, other than for weddings or funerals. And this wasn’t hypocrisy: he was quite up-front about his beliefs, or lack of them. More recently, most people would mutter something vague to the effect of “Well, I think there must be something…” if asked the religion question.

But now, surveys and censuses show that there are a many more who will happily call themselves atheists, or at least agnostics. The New Atheists, as they now tend to be called, have got across the message that we don’t need a purpose imposed on us from above – we can formulate our own. We don’t, furthermore, require a God or a scriptural set of rules in order to tell right from wrong. And our sense of wonder has its needs catered for by the impressive discoveries of science.

So I think, on the face of it, I have pretty good credentials as an atheist. I more or less agree with the above statements; I don’t believe in an old man in the sky, or some more diffuse entity of which he is a personification; and creationism seems to me a ragbag of prejudice, ignorance and wishful thinking, as opposed to the coherent and justified body of theory which evolutionary biology gives us. Large, received bodies of doctrine from organised religion I am unable to swallow. So why is it, that if I see, for a example, a TV debate between an atheist and an apologist of religion, I feel myself instinctively sympathising with the religious point of view? (That’s assuming the religious side doesn’t represent creationism, or some swivel-eyed variety of fundamentalism.)

Stop worrying

Could it be the unbearable smugness which seems to hang like a cloud around the atheist programme? Individually, the most vocal atheists seem to be perfectly decent people, and some – for example Dawkins and Hitchens – are (or were) brilliant writers in their different ways. But somehow the public face of the movement seems to patronise us, with its inverted holier-than-thou expression.

That ghastly bus advertising campaign didn’t help: for those who don’t know it, there was an atheist-sponsored poster campaign on London buses a few years back, with the slogan ‘THERE’S PROBABLY NO GOD. SO STOP WORRYING AND ENJOY YOUR LIFE.’  Of the many reasons why this is objectionable, it’s difficult to pick out the worst. I would go for the fact that many people are worried a lot of the time, and not enjoying their lives, and for whom the existence of god is the last thing on their minds. So to be be dogged by fatuous slogans such as this does not make things any easier for them.

At least the campaign provided us with a bit if fun, when a religious group complained to the Advertising Standards Authority (ASA). The advertising code of practice lays down that ads must be “Legal, Decent, Honest and Truthful’. Well, we can probably get away with the first three here, so that leaves the issue of truthfulness. Which leaves the hapless ASA with the task of ruling on the probability of the existence of God. I have heard of no outcome to this, so perhaps they are still deliberating. Or maybe they judged the probability of the existence of God to be the same as that of Carlsberg being the best lager in the world.

Stuff and experience

No – for me, what is most importantly wrong with the atheist agenda is what it leaves out, what its vision simply doesn’t encompass. There are many aspects to this, so let’s start with the moral one. Of course, we can agree, our morals don’t come direct from the ten commandments. or any other body of doctrine. They come from the fact that we are sentient, conscious beings, who know what it is to suffer, and understand the importance of not inflicting such suffering on other beings – and of promoting their happiness and wellbeing.

That of course, I know, is a massive oversimplification, culturally, historically and emotionally – but it still has at its heart this question of consciousness, of private experience. No scientific theory yet has come anywhere near providing an account of this which can assimilate it into our account of the physical world. There’s ‘stuff’, and there’s ‘experience’. Science deals with the first; morality has more to do with the second. I’d maintain that the question of how, or whether, we can unify our knowledge of the two lies at present outside science, and will remain so unless science becomes a very different kind of enterprise.

These mysteries are, I would maintain, part of what religion is a response to – they are its stock-in-trade, what it is most comfortable with. But for the atheist/materialist agenda it’s necessary to assert that science has either explained them already, or will have them under its belt after some more investigation. I would respectfully disagree – and hope to expand on this in future posts.