Chaos and Order; the right and left hemispheres

Chaos and Order; the right and left hemispheres

In The Master and His Emissary, Iain McGilchrist writes that a creature like a bird needs two types of consciousness simultaneously. It needs to be able to focus on something specific, such as pecking at food, while it also needs to keep an eye out for predators which requires a more general awareness of environment.

These are quite different activities. The Left Hemisphere (LH) is adapted for a narrow focus. The Right Hemisphere (RH) for the broad. The brains of human beings have the same division of function.

The LH governs the right side of the body, the RH, the left side. With birds, the left eye (RH) looks for predators, the right eye (LH) focuses on food and specifics. Since danger can take many forms and is unpredictable, the RH has to be very open-minded. Continue reading

Gödel’s Theorem

Godel and Einstein

Kurt Gödel and Albert Einstein

Kurt Gödel[1] was a Platonist,[2] logician and mathematician who developed the intention of making a profound and lasting impact on philosophical mathematics. His next task was to think of something! Amazingly, at the age of twenty five, he achieved his goal, publishing his incompleteness theorem.

A good friend of Albert Einstein’s, Einstein once said that late in life when his own work was not amounting to much, the only reason he bothered going to his office at the Institute for Advanced Study at Princeton was for the pleasure of walking home with Gödel.

John von Neumann wrote: “Kurt Gödel’s achievement in modern logic is singular and monumental – indeed it is more than a monument, it is a landmark which will remain visible far in space and time. … The subject of logic has certainly completely changed its nature and possibilities with Gödel’s achievement.”[3] Continue reading

The Halting Problem – there is, definitively, more to thinking than computation

Alan Turing

Alan Turing

Kurt Gödel’s Incompleteness Theorem was inspired by David Hilbert’s question “Are the axioms of a formal system sufficient to derive every statement that is true in all models of the system?” Hilbert played the same role regarding Alan Turing’s proof of the halting problem. Hilbert had asked: “Is there some mechanical procedure [an algorithm] for answering all mathematical problems, belonging to some broad, but well-defined class?”[1] In German this is called Entscheidungsproblem – the decision problem.[2]

Turing found that he could answer this question by framing it in terms of a Turing machine[3] – could there be a program that could determine whether any other arbitrary computer program and input would eventually stop or just loop forever? This was called the halting problem.

“Alan Turing proved in 1936 that a general algorithm to solve the halting problem for all possible program-input pairs cannot exist.”[4]

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Nicolas Berdyaev on the Despiritualization of the West

Berdyaev 01 Portrait Face Forward

Nicolas Berdyaev (1874 – 1948)

My long-term ongoing project involves reading backwards into the critique of modernity, resurrecting from the archive writers who fifty, seventy-five, or even one hundred years ago, intuited prophetically where such trends as democracy, utilitarianism, and the technocratic conception of science were taking mankind – and who foresaw accurately just how deformed morally and socially Western civilization was likely to become.  The writers in question, with a few exceptions, are today largely forgotten or are remembered under a false image or for spurious reasons.  The names of Karen Blixen, Gustave Le Bon, Jorge Luis Borges, Julius Evola, René Guénon, Hermann Keyserling, Peter Ouspensky, Oswald Spengler, T. Lothrop Stoddard, and Sigrid Undset, among others, have appeared in a series of articles, most of them at The Brussels Journal.  I wish, however, to devote the present occasion to a renewed discussion of the Russian writer-philosopher Nicolas Berdyaev (1874 – 1948), whom the encyclopedias of ideas classify variously, not to say confusingly, as a Christian Existentialist, a Russian Nietzschean, a Neo-Platonist, a follower of Vladimir Solovyev, or an out-and-out mystic and subjectivist.  Berdyaev is perhaps a bit of each of these, while being also much more than any of them.  Academic philosophers have either never heard of Berdyaev or, knowing of him at second hand, perhaps from an encyclopedia article, and being unable to fit him into any Positivist or Postmodern framework, dismiss him summarily.

One might fairly assert that Berdyaev did himself little good publicity-wise by cultivating a style of presentation which, while often resolving its thought-processes in a brilliant, aphoristic utterance, nevertheless takes its time, looks at phenomena from every aspect, analyzes every proposition to its last comma and period, and tends to assert its findings bluntly rather than to argue them politely in the proper syllogistic manner.  In Berdyaev’s defense, a sensitive reader might justifiably interpret his leisurely examination of the modern agony as a deliberate and quite appropriate response to the upheavals that harried him from the time of the 1905 Revolution to the German occupation of France during World War II.  If the Twentieth Century insisted on being precipitate and eruptive in everything, without regard to the lethal mayhem it wreaked, then, by God, Berdyaev, regarding his agenda, would take his sweet time.  Not for him the constant mobilized agitation, the sloganeering hysteria, the goose-stepping and dive-bombing spasms of modernity in full self-apocalypse.  That is another characteristic of Berdyaev – he is all at once leisurely in style and apocalyptic in content.  Berdyaev was quite as apocalyptic in his expository prose as his idol Fyodor Dostoevsky was in his ethical narrative, and being a voice of revelation he expressed himself, again like Dostoevsky, in profoundly religious and indelibly Christian terms.  Berdyaev follows Dostoevsky and anticipates Alexander Solzhenitsyn in his conviction that no society can murder God, as Western secular society has gleefully done, and then go its insouciant way, without consequence.

The titles of Berdyaev’s numerous books, especially when taken in chronological order, tell a story all by themselves: The Meaning of the Creative Act (1916), The Meaning of History (1923), The End of Our Time (1924), Christianity and Class War (1931), The Destiny of Man (1931), The Fate of Man in the Modern World (1934), Christianity and Anti-Semitism (1938), Slavery and Freedom (1939), Spirit and Reality (1946), and The Beginning and the End (1947), among many others.  There is also a posthumous Truth and Revelation (1954).  I call attention to the earliest of the listed titles, The Meaning of the Creative Act.  Berdyaev began his career as a philosophical writer (he never completed his doctorate) with an ambitious study of aesthetics, his theory of which locates the purest manifestation of the highest value of his worldview, freedom, in the labor that generates the work of art and beyond that in all the highest effects of the artwork in its context.  At the end of Berdyaev’s life, he wrote the essays that constitute Truth and Revelation, one of his several ventures into the philosophical-theological sub-genre of theodicy, in which he invokes a “creative response to the appeal of God.”  Whereas in the Catholic and even more so in the Lutheran and Calvinist variants of Christianity there is, according to Berdyaev, a strong “sociomorphic” or “legalistic” distortion of Christian doctrine; in Russian Orthodox commentary, by contrast, “the coming of the Christ has been understood not as a reparation for sin, nor as the offering of a ransom, but as the continuation of the creation of the world and the appearance of the New Adam.”  In Berdyaev’s view, “What God expects from man is not servile submission, not obedience, not the fear of condemnation, but free creative acts.”  Berdyaev adds in an aside that, “I wrote on this subject some while ago in The Meaning of Creativeness,” that is, The Meaning of the Creative Act.  Thus Berdyaev’s work exhibits a remarkable closure, returning at the end to its beginnings, linking as it were its omega with its alpha.

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Victimary Rhetoric and the Politics of Decolonization in V. S. Naipaul’s Mimic Men (1967)

Naipaul 02 Mimic Men Cover

The Mimic Men — A Room with a View

Novelists often make subtler political scientists than do the political scientists themselves, perhaps because a competent novelist nourishes himself on his observation of human actuality whereas the political scientist is typically the subscriber to some party-orthodoxy or the proponent of someone’s special-interest agenda.  The names of Fyodor Dostoevsky and Joseph Conrad come to mind, as men of keen political perception.  Dostoevsky’s Devils (1872) and Conrad’s Nostromo (1904) retain their value as brilliant forecast-analyses of Twentieth Century political radicalism and its destructive application in revolutionary activity.  Both men had an uncanny sense of what lay ahead.  In a sense, their prophetic power exceeds, say, Yevgeny Zamyatin’s or George Orwell’s, as both of those men had the benefit of looking back on what had already happened.  Competent novelists are necessarily also anthropologists, interested supremely in reporting human facts as they see them and in making their way to essential structures of human nature, communal existence, and the cultural tradition.  The tenured political-science professors strive mightily to avoid those cases where facts contradict doctrine, while the genuine novelists relish both the paradox of human nature and the tragicomic accent of the historical chronicle.  A novelist after all can only be true to himself by exercising a rigorous objectivity.

I. Such a percipient connoisseur of structural irony and the law of opposite results is the native Trinidadian, of Indian ancestry, and longtime naturalized Briton, V. S. Naipaul (born 1932; knighted 1990), whose Nobel Prize (2001) came at the last possible moment, after which, the Prize Committee’s politicization being complete, no dissenter from the reigning orthodoxy – about race, the market, the West, or modernity – would receive its honor. Naipaul had diagnosed the spiritual paralysis of the West in that morbidity’s emergent phase; he foresaw, in fact, in the chaos of decolonization in the 1960s, much of what afflicts western society at large forty years later. The title of The Mimic Men (1967), a key entry in Naipaul’s development of his novelistic oeuvre, suggests how important mimesis, or imitativeness, is to the author’s view of humanity. Few people, as Naipaul sees it, manage to escape the trap of letting others define their identity; rather, most people meekly assimilate to a few ready made stereotypes, the range of which diminishes in the age of mass communication and the “consumer lifestyle.”  Modern people moreover tend swiftly to assume the indignation of the resentful; they tend just as swiftly to imitate the posturing of self-described victims.  The Mimic Men’s narrator, Ranjit “Ralph” Kripalsingh, usually just “Singh,” who stems from the Hindu Diaspora in the British West Indies, uses the bland term “placidity” to describe how he has often yielded to base impulses contrary to his conscience.

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Globalism as Sacrificial Crisis: Jean-Pierre Dupuy’s Mark of the Sacred

Dupuy 06 Wicker Man

The Wicker Man of the Pagan Celts

Gregory Copley has argued in his study of Un-Civilization (2014) that the global human arrangement, a creeping improvisation of the last three or four centuries, nowadays has outlived its ad hoc semi-functionality so that it totters on the verge of a radical spontaneous reconstruction whose survivors will have experienced it as nothing less than a catastrophe.  Eric Cline, in his recent study of The Year Civilization Collapsed (2014), underscores the likelihood of such a calamity as the one that Copley predicts.  Cline marshals the details of an archaeologically attestable prototype of “systems collapse” that occurred around the date 1177 BC when a vast swath of the civilized Eastern Mediterranean literally went up in flames, inaugurating a “dark age” that in some places lasted four hundred years.  That it has happened increases the possibility that it might happen.  Jean-Pierre Dupuy, like Copley and Cline, is a student of crises, but unlike them he is primarily a religious thinker, one who takes seriously the insights of the man whom he calls the Albert Einstein of Twentieth-Century social science, René Girard.  Dupuy’s title, The Mark of the Sacred (2008; English, 2013), recalls the title of Girard’s seminal Violence and the Sacred (1966; English, 1972).  In that work, Girard discovered, in myth, ritual, and tragic poetry, the signs of a “sacrificial crisis” ubiquitously and regularly afflicting archaic societies.  In the sacrificial crisis, the social group suffers structural breakdown in rampant, violent mimesis or imitation that resolves itself through the production of an arbitrarily selected victim; the victim’s immolation then promotes him to godhead and generates the basic forms of culture.

One might think analogously of the basic architecture of the pyramid in relation to death-by-stoning: The former results from the latter, concealing the victim under an aesthetically pleasing form that dissimulates its own origin.

As Girard sees it, and as Dupuy reiterates, this “scapegoat mechanism” made humanity, but it also entrapped humanity in the closed epistemology, gory practice, and mendacious rhetoric, stomach-churning to inspect, of the sacred.  In Girard’s argument, which Dupuy again adopts, people could not begin to escape the delusion of the sacred until the decisive event of Christ’s Passion, as recorded in the four Gospels.  In The Mark of the Sacred, Dupuy explores the implications of this – to him – persuasive view.  Those implications entail, among other things, a reassessment of existing normative models of economics, political theory, cognitive science, and, indeed, modernity’s total view of itself.  The prideful, deforming error of modernity, as Dupuy demonstrates in a series of five topically various but logically closely-related chapters, is to believe fanatically in its own claim to be thoroughly and justifiably secular, thus licensing itself to reject everything that it categorizes as religious or irrational.  In itself, Dupuy’s case is hardly unprecedented.  Among others and as early as the beginning of the Nineteenth Century S. T. Coleridge and Joseph de Maistre identified the Revolution, that declaration of an absolute break with all tradition, as essentially religious, but as by no means an advance beyond the Christianity that it condemned.  Yet Dupuy, assimilating Girard, takes this argument in new directions.

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Moloch is But a Vassal of Our True Enemy

Back in 2010, I commented to a post at VFR:

Nominalism is satanic, I’m telling you. It’s a device to destroy man. Convicted nominalism has to end in suicide, whether cultural or personal. If there are no transcendent values, but rather only and merely our own personal, private preferences, then our personal private preferences are false to facts. This is a little tricky to see, until we draw the analogy to the schizophrenic. The schizophrenic’s impression that there are black helicopters pursuing him are peculiar to him. The black helicopters are not really there. So we understand that his impressions are illusions. But nominalism says that the values we apprehend in things and people and activities, like the black helicopters, are not objectively real. And this means that our feelings of value are—just like the schizophrenic’s black helicopters — hallucinations. They are false. Nominalism says that there is in reality no value out there to be had.

But to say that there is no value really to be found in the world is nihilism. And the consistent nihilist, who has the courage of his convictions, cannot believe that his own life, or anyone else’s life, or the life of his nation, are worth a hill of beans. So he cannot find any way to defend them—none at all. And this will result in death, one way or another, even if only through the sheer lassitude of utter ennui.

I thought at the time I sent that comment to Lawrence, God rest his soul, that in characterizing a school of epistemology as satanic I was perhaps engaging in a bit of rhetorical hyperbole. Firing for effect, as it were.

But then, the other night, I was reading An Exorcist Explains the Demonic: the Antics of Satan and His Army of Fallen Angels, by Father Gabriele Amorth, SSP. Father Amorth was for many years the exorcist of the Diocese of Rome. I read the following passage from his explanation of Satanism (beginning on page 30):

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Look on my works, ye mighty, and despair!


“Half sunk, a shattered visage lies.”

My department pays me fairly handsomely to teach a particularly futile course – one among no few others – that styles itself as “Writing about Literature.”  The course is futile at both ends: Public education produces nowadays only an uneducated public, many individuals of whom, including those who are invited to college or university to matriculate, write only at the level of functional illiteracy; and none of whom has ever read anything that might qualify as literature.  I approach the course as a fully remedial one because that, in effect, is what it must be.  Dedicating the first half of the semester to “writing about poetry,” I offer up as fare for mental nourishment short poems, mostly sonnets, by writers of the Romantic generations of the late Eighteenth and early Nineteenth Centuries.  I run the class-sessions as workshops in careful reading, or close reading, for which a sonnet by William Wordsworth or Samuel Taylor Coleridge or John Keats or Percy Bysshe Shelley is meet.  I ask the students to begin by noticing the periods or full stops that divide the poem into its sentences and to notice, for example, that, in verse, lines and sentences do not necessarily correspond, so that their interaction must be carefully worked out.  I ask them to notice the grammatical features of each poem.  In what person is the poem couched?  Whom does the speaker address?  What setting is implied? What argument does the speaker make in his sequence of figures and images?  I want students to see that language can function at a higher level than it does in a campus newspaper article or in the instructions for the latest cell phone.  Readers of poems must slow down their thought processes so as to notice everything and they must let the poem provoke them into thinking word by word and line by line.

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Linguistic Subscendence

Dunce - Let's Play Dunce

No Caption Necessary

It is the end of the term, so my life consists of tall stacks of student papers, which I must read and evaluate.  A number of patterns – or maybe a better term would be grammatical de-patternings – have forced themselves on my attention.  There is, for example, the almost invariable “they” employed as the subsequent of a singular subject in a sentence.  A half-dozen of these, at least, appear in every four-page theme, even in papers written by English majors.  Twenty years ago, in a journal article, I referred to this as gemination – the one and only child miraculously becomes a set of twins.  Many among the English professoriate no longer bother to correct this, but I do, insistently.  While English is a latitudinous language in terms of its regularity, the logic of its pronominal system is rigorous.  Someone is, precisely, one, not two people or more.  Ditto anyone, everyone, and no one or none, the last being the contraction of its syntactic precursor in the sentence.  In the real world, neither a person nor the man can suddenly become they or them.  To write so, however, is surely to think so; and to think so is bad arithmetic even in the first grade.  It is perhaps not an unrelated fact that when I give my students the instruction to subtract the number of questions they answered wrongly on the quiz from the total number of questions and to post the result as their score – they reach that result with glacial slowness through grimacing, dull effort.

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