Showing posts with label John Henry Newman. Show all posts
Showing posts with label John Henry Newman. Show all posts

Sunday, December 2, 2012

The Challenge of Darwinism, updated for Lent (and further updated for Advent)


In the post below, originally published during the Lenten season of this year, we locked horns with the Darwinist défi, from a mathematical/philosophical/theological point of view.  Herewith, by way of preface, a brief companion-piece, which abjures all those disciplines, and sticks to biology and sociology.

Characterizing Freud’s stance in 1908, in an article published in Mutterschutz  (“Defense of Motherhood”), his admiring biographer Jones writes:

The glorifying of monogamy  paralyzes the process of selection, which is the only hope of improving the human constitution, a hope which humanitarianism and hygiene  has already reduced to a minumum.
-- Ernest Jones, Freud: Years of Maturity (1955), p. 293

This passage may be difficult for today’s young people to understand.  By selection he means Darwinian Natural Selection, nowadays mostly known as “Evolution” -- Nature’s ruthless culling of the unfit.  Constitution here means ‘genome’.   Humanitarianism refers to welfare payments and the like, which provide survival -- and opportunities for further procreation -- to individuals who would, in an earlier age, have gone by the board without issue.   Hygiene refers to state-sponsored measures of Public Health,  which, reducing mortality across the population, again nurtures the frail along with the rugged.
Such thoughts are no longer publically expressed these days, let alone in such old-fashioned words.  In earlier decades, such qualms were mainstream:  though seldom was monogamy singled out  as a factor in devolution.  Yet the thrust is meet, and must be met.

Jones’ preceding paragraph  reports, from the same article, Freud’s view that “the prevailing sexual morality of civilation is characteried by the transference of feminine demands  on to the sexual life of the man” (though on the next page he avers that “women suffer more than men from the prevailing morality” -- the apparent contradiction  is never addressed), which “leads to a double moral life, with evil consequences”.  In that context,  I at first assumed  that Freud was referring to garden-variety marital fidelity.  And that, surely, is immune from Darwinian attack:  the appalling consequences of agamy in our barrios and ghettoes  are apparent to all.  Now, I have not actually read Freud’s article -- unaccountably, that issue of Mutterschutz is missing from my shelves (probably one of the pesky neighborhood boys  has made off with it) -- but I venture to suggest that he may have had in mind an idea that grew to prominence in his later years, the years of Totem und Tabu:  the scenario of the alpha male, lording it over his harem, infusing their wombs with his übermensch übergenes, while his less-fit cousins and brothers circle, snarling, just outside of the firelight.
Now, if the highest pitch of your ambition  is to hunt the mastodon,  such a scheme might well work;  certainly, it works for walruses.  But if you set your sights higher -- on the Gospels, on Paradise Lost, on the Riemann Hypothesis -- you need a system maximally protective and nurturing of each individual offspring, since the monogamous couple’s offspring are so few;  a goal favored in that now each child has both a dedicated-mommy and dedicated-daddy, schooling him daily in Scripture and in analytic number theory.   This happy scenario  does not refute the truths of Darwinism, but simply sublates them, or transcends them:  for we, cognitively alert and free-willed beings, have other goals, not shared by the newts and toads, for whom Darwin is surely good enough.


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~ Commercial break ~
We now return you to your regularly scheduled essay.

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[And now to the original essay.]

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It would ill become me, as if I were afraid of truth of any kind, to blame those who pursue secular facts, by means of the reason which God has given them, to their logical conclusions;  or to be angry with science  because religion is bound to take cognizance of its teaching.
-- John Henry Newman, Apologia pro Vita Sua (1864)


In Philosophy: a Very Short Introduction (2002), Edward Craig writes (p. 92):

 For Descartes, human reason was a faculty  given to us  and guaranteed by God … and that was why he could rely on it to tell us about the essential nature of mind and matter ... What if, instead , he had thought of it as a natural instrument which had developed because, and to the extent that [emphasis in original], it gave its possessors a competitive advantage over those without it?  Would he then have supposed that what it appeared to tell us on such matters could, with complete confidence, be taken as the truth?

This challenge is absolutely valid.  On this basis, we should, indeed, do as Descartes did, and call everything -- all our beliefs, absolutely everything -- into question.  Yet alas, now without the Cartesian certainty that our Idea of the Perfect must come from The Perfect, Himself.  Epistemologically, we are much humbled. We are sweaty, dust-caked survival machines -- that has been shown -- much like the cockroach and the rat.  Are we anything else as well ?

At this point, some despair, and take to drunkenness or drugs or Postmodernism (I cite these in descending order of worthlessness).

And yet, when we look about the landscape, we find something unexpected, unexplained, and entirely surprising:

  =>  ~ ~ ~  the Urysohn Metrization Theorem ~ ~ ~ <=

along with all the other truths of abstract mathematics: truths that are seen to be true, by anyone with wit enough to see them; truths not relativized to space or to time, to culture or to … species.  If the Humble Woodchuck should ever make it as far as point-set topology, he too will discover , and celebrate,  this truth.

Its survival value:   Zero.
What gives?

Well, we don’t know what gives, but something does.   We have a stark staring ideational miracle in our midst, something no-wise selected for, something simply True.
Now, it is no contradiction to Darwinism to posit that, quite independently of the brute world ever evolving and evolving, to no purpose and upon no plan, there might be a world apart, of Platonic forms, or celestial calliopes, or whatever you will.   What does contradict Darwinism -- fly in the face of it, knock its socks off -- is our repeated and reliable ability to discover this World of Forms, again and again struggling through jungles of calculation and conception, to arrive, from different directions, at the same ice-crowned mountain.  A World of Forms of no use at all  in escaping the sabre-tooth, whose bite is so fierce, or in hunting the mighty mastodon.
Though, let us hasten to add, among the facts that attest to the reality of these abstract truths, is that, in recent times, these have manifested themselves, not only in the clear understanding of minds suitably prepared, but in sheer physical engineering :  our spacecraft land where we want them to, and our nuclear power plants generate useful energy, owing to applications of our understanding of these Forms.

And if this be true, might it likewise be, that our insights and intuitions about our Maker, at first dimly conceived, but gradually taking form across the millennia, and finally developed to a state of great excellence by the finest minds in Christendom -- might it be that  these too  contain their share of truth?

~

Notice that, despite what we repeatedly read about the advance of science undermining the foundations of faith, we are now intellectually in a much better position to appreciate what it might mean for there to be a God who is the maker of

     visibilium omnium et invisibilium

-- all things visible and invisible -- than was Aquinas. 


[Update:  I had the sense, writing this, of committing a certain hardihood;  yet just now  happened upon the following passage, by a Jesuit of impeccable credentials:

Intellectual virtues may be an essential aspect of our existence, and prepare us for what is revealed.
-- James Schall, S.J., The Order of Things (2007), p. 198 ]

~

Note:  Despite possible appearances to the contrary, nothing on this blog should be taken as an attack upon Darwinism, or even a critique.  Charles Darwin himself is  for me  an intellectual and even a moral hero, who just gets better  the more you learn about him.  The whole field of evolutionary biology has been characterized by remarkably brilliant practitioners, who in addition are often philosophically alert.  The appearances-to-the-contrary stem from the accidental facts that,
            (a) You don’t need me to expound the findings of this fine science, since there are easily available volumes from writers far more professionally qualified, and who, by happy circumstance, are in many cases quite gifted writers, simply as writers:  Darwin himself, Steven Jay Gould, Richard Dawkins, H. Allen Orr, in writings too numerous to mention, along with excellent though lesser-known figures like D’Arcy Thompson, George Gaylord Simpson, J.B.S. Haldane, Ernst Mayr, Matt Ridley, Paul Colinvaux, Richard Fortey, George Williams, and John Maynard Smith.
            (b) With Darwinism, just as with any scientific idea in fashion, starting with atomism, magnetism, radiation, vortices, relativity, quantum mechanics, and even some mathematical ones like point-set topology and nonlinear dynamics, there have been some fanciful overreaching and stupid abuses  in attempts to apply these ideas to things to which they do not apply, mostly in the popular media.   With these I feel the need to break a lance, particularly when their agenda is to reduce those created in the image of God, to the level of cockroaches.  But the tick that feeds upon the rump of Pegasus, in no wise lessens the majesty of that noble steed.

~

A word on the … evolution (not by natural selection) of our ideas about science and about theology.
In both cases, if, naïvely, we thumb through some books and behold what our distant ancestors used to believe, we gape and gasp.   And in the perspective -- long regnant, but by now adequately criticized -- of the Whig Theory of History, those poor old dotards were simply clueless.
If, however, we examine the matter with more study and attention, we learn that the best minds of Antiquity and of the Middle Ages  were a lot smarter than our shallow understanding of their doctrines  would imply. 
For science, this post-Whig re-evaluation has been ably and painstakingly carried out by a distinguished body of historians and philosophers.  For theology -- I really don’t know;  but I do recall  that C.S. Lewis says somewhere that the old folk-images  tended to be held until some historical juncture causes them to be actually examined:  in which cases the Historical Church proved generally capable of refining its conceptions and language. Yet -- a subtle point, but crucial -- this replacement of the traditional image  is a dialectical sublation, and no mere negation.  Even from the standpoint of our modern and more nuanced understanding, the original idea, while dethroned, is yet in a sense  preserved -- aufgehoben.  Thus, the image of Jehovah as a tribal patriarch with a long white beard, sending down laws on stone tablets  and speaking, should occasion demand it, from a burning bush, remains yet a more faithful and more fruitful symbol, a more adequate gateway to eventual fuller comprehension, than would the alternative representation, as, say, a black-face minstrel, or a used-car salesman in a bow tie.  True, He is ultimately none of these three; but he participates of one of them  more than he does the others (proportionate to our understanding).

In science, it is the same.  You’ll hear it said that the Copernican heliocentric theory was resisted because
            (a) it “demoted the earth from its privileged position at the center”;
            (b) the Bible declares that Earth is stationary.

The efforts of the debunkers have decisively refuted (a) -- Craig himself has a good short summary of their findings -- but just a word about (b), since for some reason, philosophers of science are less eager to come to the rescue of the Bible.  True, it takes the Earth as stationary.  And so, by the bye, does any modern scientist in his right mind, when solving any practical problem such as the trajectory of a shell or a baseball:  the pitcher lobs it due south at x miles per hour;  the bat strikes it, traveling due north with such&such momentum; the wind is from the northeast at eighteen miles per hour, and the Earth… is stationary.  You do not factor in the sweep of this green planet round the Sun, nor Sol’s more stately wheeling along the rim of our spinning galaxy, nor that nebula’s proper motion through the celestial void, a vagrant among the observing unspeaking witness of the Fixed Stars -- which, as we now know, are not fixed in the least;  it’s just a manner of speaking.

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A note on that last proviso, “proportionate to our understanding”.  This is actually a key idea.

By chance, I just now happened to re-read a most amusing poem from 1913, by Rupert Brooke, entitled “Heaven”.  Here he depicts fish, contemplating the afterlife:

somewhere, beyond Space and Time,
is wetter water, slimier slime!

and they imagine their unimaginable Maker,

immense, of fishy form and mind,
squamous, omnipotent, and kind

-- along with much more in this vein.
Now, this is satire, possibly even intended to be offensive;  yet let us take no offense.  Rather, the poem expresses a truth, from whatever base motivations.  For we are each, each species, but a small and finite part of the visible Creation;  which in turn is only an infinitessimal part, of the Creator.   We each receive, and cherish, such tatters and fragments of truth as we may.  And let Saint Francis be my witness: I doubt not, indeed, I do not doubt, that whither those fishes are destined, they shall find water  wetter than wet; that the celestial penguins shall throne upon ice-floes frozen to perfection, immutable; and that the sweet small vole, that dwelleth in the fields, shall … dwell there forever:  World without end.

Thursday, February 23, 2012

Faster than Light! (not)


Scientific truth is really growing, but it is by fits and starts;  hypotheses rise and fall;  it is difficult to anticipate  which will keep their ground, and what the state of knowledge will be  from year to year.  In this condition of things, it has seemed to me to be very undignified for a Catholic to commit himself to the work of chasing what might be phantoms …
-- John Henry Newman, Apologia pro Vita Sua (1864)


An update to a post about the continued attempts of the media to puff up particle physics with more philosophical-theological content  than it can well bear.

The latest from today's Washington Post:

Nev-vah mind...

[originally posted 24 Sept 2011]
The Washington Post front-pages CERN’s report of neutrinos apparently traveling faster than light.   The prominent coverage is welcome, reminding us that particle physicists are still hard at work, even if they have had a mostly discouraging couple of decades of late, and been outshone by stellar developments in cosmology.  The coverage is somewhat breathless (“Particles Bust Einstein’s Speed Limit”) and reliably middle-brow -- scientists are depicted, not as exercising their brains, but as scratching their “noggins”, just like you ‘n’ me.   But the article doesn’t fall to the level  of  “physics porn” -- wrenching the facts around and blotting out context, to appeal to the laziest readers.   It’s an honorable heads-up.  Would that a quarter of every front-page could be devoted to physics!   (And another quarter to math, and another to biology, and another to philosophy… For the latest prevarications by politicians, please turn to page 48b.)

Not entirely accurate, perhaps.  The report may not be the very first -- there were some experiments at Princeton awhile back, that seemed to indicate travel either supraluminal or backwards in time.   More important, the reported particles presumably do not actually “bust” the speed of light, in the sense of accelerating until they surpassed it:  that really would contradict Special Relativity.   Rather, they would exist beyond it, in the supraluminal realm:  and are as impotent to slow down to or below the photon’s lazy speed, as an ordinary subluminal particle is to speed up to it.  The possibility of supraluminal particles (“tachyons”) was first mooted many decades ago, though it led nowhere, as they apparently did not exist.
It they do exist, that is now surprising -- but it seems surprising (speaking naively now),  not simply that the supraluminal realm should be populated, but that, if it is so, that it should be so sparsely populated.    How have such particles eluded detection until now?  And why not supraluminal photons -- or protons, for that matter?  The situation is somewhat reminiscent (again, speaking naively) of the tremendous factual, though not theoretical, asymmetry between matter and antimatter, as we find it in our neighborhood.
In both cases -- supraluminal particles and antimatter -- the discovery of the new stuff is  thought-provoking, though systemically a bit awkward.  It certainly doesn’t match the hype in the concluding line of the WaPo’s (scientifically semi-literate -- hey, at least the glass is half full) blogpost on this subject: “it will shake the very foundation of what we believe;”  nor, in the words of the Top Comment at that site, does it tell us “something fundamental about us”.  Bear in mind that scarcely a wight upon this planet harbors justified true belief about much of anything in science;  we just acknowledge (if we even well recall) what we read in the papers.  So to be told that there’s a Higgs boson, say, or then, Nope, none after all; that the cosmos is infinite no finite no it’s flat no it’s curved;  doesn’t shake our foundations one tittle.   Would that it did.

[Update 19 Nov 2011:]
Les neutrinos toujours plus rapides que la lumière
A reader comments:
"Vu l'obscurantisme qui recouvre peu à peu la France depuis 4 ans... comment s'étonner que les lumières veuillent fuir notre pays..."

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Pour d’autres friandises
de la confiserie 
du docteur Justice,
consultez:

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Wanna know how I spent sophomore year? 
Listening to this:

(“ Fas-ter -  than - light -- if you want to…”)

I was taking Advanced Calculus (from Andrew Gleason -- “Math 55”, the pons asinorum; I fell off), Topology (from Edwin Moise) and Intro Logic (Phil 140, from Quine), each of them key.   That song played in the background, or the foreground, over and over, the sound-track to a complete immersion in abstraction.  Giant posters of Einstein, and of the astronauts, beamed from the walls of my dorm-room.  And the Moody Blues mooned on…
It’s actually pretty insipid, musically;  but then, it is difficult to make art out of physics.
Moreover there is a danger, whether in listening to such things, or (its visual equivalent) simply lying on your back and staring up at a cloudless sky, a danger of winding up in a gravely dangerous state, incisively limned here.

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For all you really need to know about tachyons, click here.

[Update 16 III 2012] Never mind again:

http://www.washingtonpost.com/national/health-science/not-so-fast-second-experiment-refutes-faster-than-light-particles/2012/03/16/gIQAqYLkGS_print.html

[Update 1 Oct 2013]

Thus, so far as we know to this day, there are no supraluminal particles.
There are, however, supraluminal animals:  the snow bunnies.

Monday, December 19, 2011

Mathematics and Morality


In our series of essays “Theologia Mathematica”,  we have focussed on philosophical and epistemic issues, very far from the sort of thing discussed in the pulpit of a Sunday.   We have striven both to enrich theism and to defend it against its intellectual detractors -- yet in this special vein of argument, do not aspire so high as Christianity, or indeed morality in general.  Nor have I, really, any insights to share upon this head:  in cases where I do make so bold as to venture onto the public square,  such political or ethical statements as I might hazard  make no claims at all upon any results from physics or from mathematics -- although, as with philosophers and theologians in all times, they are of course informed by logic.

Still, as the subject lies inevitably near at hand, it seems meet to at least put up a bulletin-board, on which we can post any quotes we may come across, which illustrate cross-fertility between the moral and the mathematical spheres.

~

Koestler, Sleepwalkers , I.2.ii, characterizing the philosophy of Pythagorus:

Numbers are eternal, while everything else is perishable … They permit mental operations of the most surprising and delightful knd, without reference to the coarse external world … -- which is how the divine mind must be supposed to operate.  The ecstatic contemplation of geometrical forms and mathematical laws  is therefore the most effective means of purging the soul of earthly passion, and the principal link between man and divinity.

Koestler, Sleepwalkers , I.2.iv [39]: “It is said that Pythagoras, like St Francis, preached to animals.”

~


John Henry Newman, Apologia pro Vita Sua (1864):

He who made us, has so willed, that in mathematics indeed we arrive at certitude by rigid demonstration, but  in religious inquiry  we arrive at certitude by accumulated probabilities.

I cite this simply as an amiable proof-text, while disagreeing with basically all of it.

Cardinal Newman


In mathematics, you approach certainty, over the centuries, by experiment, insight, and eventually a proof (or “rigid demonstration”) -- or perhaps a succession of improved proofs, as subtle flaws are found in the first one.

Arriving at -- again not really “certitude”, but what used to be known as moral certitude (“beyond a reasonable doubt”), by accumulated probabilities, strikes me as a nice thumbnail description of the process of sciencetheology, not so much.  Theology additionally relies on Revelation -- or “intuition” -- that inward vision -- as it is mystically known in math.

~

For mathematics as the science of reckoning, Chesterton has little feeling;  but the more modern conception of math is the science of pattern, and Chesterton has strong intuitions about the spiritual content of shape.

G. K. Chesterton, Robert Louis Stevenson (1927):

Whether or no we see faces in the carpet, we ought to see a mind in the carpet; and in fact  there is a mind  in every scheme of ornament.  There is as emphatically a morality expressed in Babylonian architecture or Baroque architecture  as if it were plastered all over with Biblical texts.

~

The above concern a fancied moral tinge to mathematics itself.  Quite different is the relatively familiar thesis that moral reasoning can or does proceed more mathematico.  Thus Spinoza.  Or cf. David Hume, Enquiry Concerning the Principles of Morals (1751):  Whether something is to be considered a “crime … consists not in a particular fact … but it consists in certain moral relations, discovered by reason, in the same manner as we discover by reason  the truths of geometry or algebra.”


John Henry Newman, Apologia pro Vita Sua (1864) acknowledges that “every article of the Creed is beset with intellectual dificulties”, yet “ten thousand difficulties do not make one doubt; difficulty and doubt are incommensurate.”   And if you think he is here sidestepping the issue, he adds a telling analogy:
A man may be anoyed that he cannot work out a mathematical problem, of which the answer is or is not given to him, without doubting that it admits of an answer.

Steven Pinker, in The Blank Slate (2002), pp. 192-3, speaks respectfully if non-commitally about the Platonist viewpoint concerning numbers, and goes on to hypothesize that moral truths may have the same status -- “out there” to be discovered, and analogous from planet to planet.  “Our moral sense may have evolved to mesh with an intrinsic logic of ethics  rather than concocting it in our heads out of nothing.”

By the by:  Pinker's richly suggestive book, ranging afar across fields and meadows, adds  in passing  a suggestion of what we might term Aesthetic Realism:  "Even if an art form matured in the West, it may be  not an arbitrary practice  spread by a powerful navy  but a successful product that engages a universal human aesthetic."
Here he has left any area in which I have expertise, so no comment;  read his argument pp. 407-9.