René Descartes

Born on this day. The following extract from Bernard Williams’ brilliant (but dense) Descartes: The Project of Pure Enquiry.

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René Descartes was born on 31 March 1596 in a small town near Tours, now called la-Haye-Descartes, where the house of his birth can still be seen. His family belonged to the lesser nobility, his father and his elder brother both being magistrates at the High Court of Brittany at Rennes. His mother died in childbirth a year after he was born, and he said that he inherited from her a dry cough and a pale complexion, and for a long time he feared that he would die young. In 1604 he entered the Jesuit college of la Fléche at Anjou, which had been opened only that year. The Rector knew his family, and he was allowed his own room and to get up when he liked. The spirit of the school was intellectually more open than in most. Though Galileo had not then become the centre of controversy he was to become later, it is significant that a poem was declaimed there on 6 June 1611 in celebration of Galileo’s discovery of the moons of Jupiter. Though Descartes, as he said, found little real knowledge in what he was taught except in mathematics, he was well disposed to the Jesuits, and the marked tendency he showed throughout his life to conciliate the Church expressed itself in the case of the Society with signs of genuine respect and gratitude. He left la Flèche in 1614, and took a Baccalauréat and a Licence in law at Poitiers in November 1616.

In 1618, wanting, he says, to see the world of practical affairs, he joined at his own expense an army led by Maurice of Nassau, son of William the Silent. It was a travelling rather than a military undertaking, and he was not involved in action. In 1618–19 he was in friendly association with Isaac Beeckman, eight years older than himself, who was a doctor of medicine from Caen. Descartes said that Beeckman had woken him up to scientific questions, and he dedicated to him a small treatise on music which he completed in 1618. He travelled in Germany. On 10 November 1619 there occurred a significant event, perhaps at Ulm. In a poêle, or stoveheated room, he had some intellectual vision of a mathematical science, and the same night had three dreams, which revealed to him, as he interpreted them, a destiny to create a scientia mirabilis. He made a vow to Our Lady of Loreto to make a pilgrimage to her shrine, which he later did. The exact nature of the daytime intellectual vision is not clear, but he formed in this period aims of clarifying the basic ideas and notation of algebra (Descartes invented the modern notation for powers), and of developing the relations of algebra and geometry, which was to issue in his laying the foundations of analytical geometry; and also the wider project of unifying all sciences of quantity under mathematics (the eventual form of this last project in Descartes’s hands we shall be considering in Chapter 9).

Descartes travelled a good deal in the 1620s. During this period various sceptical views, sometimes associated with radically libertin outlooks, were current. There was a meeting in Paris in the presence of the Papal Nuncio, at which a figure called Chandoux (hanged in 1631 for counterfeiting) lectured against the Aristotelian philosophy. Descartes made a speech in reply, urging that the sciences could be founded only on certainty. Among those present was Pierre de Bérulle, head of the Oratory, who in a conversation afterwards made Descartes promise to devote himself to philosophy.

In 1628–9 he wrote some of a work called Regulae ad directionem Ingenii, Rules for the direction of the Understanding. Conceived on an ambitious plan, this was left unfinished and was published only in 1701. In it, many of Descartes’s basic philosophical concerns are expressed or at least prefigured, and we shall have various occasions to refer to it. In general, it emphasizes the methodological aspects of Descartes’s thought, and offers already the idea of a universal science of quantity, but lays less emphasis on the metaphysical issues which concern him in later works. It also emphasizes less the distinction between the purely intellectual powers of the mind and the corporeal imagination which was to become basic to Descartes’s philosophy, an epistemological correlate to the dualism between the body and the intellectual soul.

In 1628 Descartes went to Holland, where he lived, with brief interruptions, until 1649. The atmosphere in Holland in the early seventeenth century was comparatively liberal: the Dutch publishers Elzevier, for instance, were able to publish works of Galileo in the 1630s. It was chosen for its liberty by a number of thinkers, including some Frenchmen. One objected to the weather (‘four months of winter and eight months of cold’), but Descartes preferred its climate to that of Italy. He had a number of intellectual friends. Despite his desire for a quiet life, he was involved in some academic and religious disputes, unpleasant and at one point rather threatening; in particular one between Gisbert Voet of Utrecht and Regius (Henri de Roy), professor of medicine, who pronounced himself a Cartesian, but whose teachings later attracted Descartes’s criticism. One of the few details of Descartes’s purely personal life which is known is that he had an illegitimate daughter, baptized 7 August 1635, whose name was Francine; her mother was called Hélène, and Descartes told Clerselier (IV 660) that the child was conceived in Amsterdam on 15 October 1634. His daughter died at Amersfort on 7 September 1640, and Descartes is said to have found this the heaviest blow of his life.

In March 1629, the phenomenon of parhelia, sun-haloes, was observed at Rome, and Descartes was asked his opinion of this. He formed the conception of a treatise on meteorological questions, and, more generally, on physics: it was to be called Le Traité du Monde, Treatise on the Universe. Shortly before it was to be published, in 1633, Descartes heard of the condemnation of Galileo by the Inquisition for teaching the movement of the earth, and he suppressed his Treatise. He was to incorporate some of its material in later works, and the Treatise itself partly survives in the form of two works, the Treatise on Light and the Treatise on Man, which were not published until after his death. Some material which linked these two parts is missing, and a third treatise, on the soul, which is promised in the Treatise on Man, has never been found and was perhaps never written.

The fear of being censured by the Church undoubtedly had some distorting effect on Descartes’s thought (we shall encounter effects of this in Chapter 9), through personal fear of criticism, and also from a desire to have his works adopted officially as manuals of instruction. (For his attitude at the time of suppressing the Treatise, see his letter to Mersenne of April 1634: I 270–73, K 25–7.) ‘It is not my temperament to set sail against the wind,’ he wrote to Pollot in 1644 (IV 73), and this was true. It was later said by the Catholic writer Bossuet, hardly himself a radical figure, that Descartes was too worried about being condemned by the Church. That his precautions were extreme is perhaps suggested by the fact that Mersenne was able to persist in strongly pro-Galilean statements, in the less favourable atmosphere of Paris.

The suppression of the Treatise led Descartes, however, to produce a different and in several respects more unusual work. It consisted of three essays; they are presented in the order in which they were written. The first is the Dioptric, dealing with problems of refraction and related matters, and including a formulation of what is now called Snell’s Law, though Descartes appears to have discovered it independently of Snell. The second treatise is the Meteors, and the third, the Geometry, which lays the foundations of what is now known as analytical geometry. The set of essays is prefaced by a remarkable work, the Discourse on the Method.4 The whole book was written in French, Descartes hoping, as did Galileo, by writing in the vernacular to reach over the heads of pedants and monks to the growing population of lay persons of good sense, free from academic and theological prejudice, with whom his reasonings might strike home. The style is very lucid and elegant, and has always been admired as a model of the expression of abstract thought in French. Descartes wrote to a Jesuit (I 560, K 46) that it was so written that even women should be able to understand it,5 and he told Mersenne that he had called it a Discourse, rather than a Treatise, on the Method, because his aim was not to teach, but only to talk about it (I 349).

The Discourse also remarkably expressed Descartes’s individuality. It was already a contrast with the practice of some geometers that he presented the Geometry in his own name – many preferred to offer their discoveries as additions to the works of the ancients, Viète appearing as the ‘French Apollonius’, Snell as the ‘Dutch Apollonius’ and so forth. But far beyond this, the Discourse offers an account of Descartes’s enquiries and his attitude to them in a genuinely autobiographical form. Montaigne had of course displayed an amused and searching interest in himself, but in virtue of that spirit itself had been distant and ironically reserved about philosophy or systematic speculation. The Discourse, on the other hand, displays its author not so much as an object of human interest to himself or others, but rather as an example – though a genuinely existing, particular, example – of the mind being rationally directed to the systematic discovery of truth.

The sophistication of this way of presenting philosophy is much further developed in his masterpiece, the Meditations on First Philosophy, the first edition of which was published in 1641. In this work, the ‘I’ of the writer is not so much the historical Descartes as it is any reflective person working their way through this series of arguments. The Meditations are not a description but an enactment of philosophical thought, following what Descartes regarded as the only illuminating way of presenting philosophy, the order of discovery: an order of discovery, however, which is not just arbitrarily individual, but idealized, the fundamental route by which human thought should move from everyday experience to greater philosophical insight. The extreme skill with which Descartes realizes this scheme, and the subtlety with which the work is organized (something which emerges more and more on repeated readings), make the Meditations one of the most original achievements of philosophical literature.

It was, unlike the book of 1637, written in Latin, though it was soon translated into French. It was published together with six (in the second edition, seven) sets of Objections from various writers, and Descartes’s Replies. These documents, some more than others, shed valuable light on Descartes’s views. The First set, from Caterus, a priest in Holland, Descartes collected himself: the aim was to impress the Sorbonne, particularly through the Jesuit Gibieuf. He then sent the Meditations themselves and the first set of Objections and Replies to Mersenne, with instructions to collect other objections – instructions which Mersenne characteristically exceeded. The Second Objections came from various theologians, and include some of Mersenne’s own. The Third are from the English philosopher Hobbes; this was not Descartes’s idea, an association with the heretic and materialist Hobbes being unlikely to help with the Sorbonne. Fortunately for Descartes, Hobbes was hostile. Unfortunately for us, the resulting exchange does not illustrate much, except truculent misunderstanding on Hobbes’s part and impatience on Descartes’s. Far superior, indeed best of all, as Descartes himself thought, was the exchange (the Fourth) with Antoine Arnauld, then only twenty-nine, the Jansenist priest whose famous book De la Fréquente Communion (1643) led to a long quarrel with the Jesuits, as a result of which Arnauld was in retreat, even in hiding, for twenty-five years. Mersenne went beyond his instructions for a second time in inviting comments from Pierre Gassendi, a prolix atomist writer, who had been annoyed at not having been mentioned in the Dioptric, and also from the mathematician Fermat, with whom there had already been controversy. Fermat kept quiet, perhaps for fear of renewing the quarrel, but Gassendi offered Objections (the Fifth) at great length, and later responded to Descartes’s Replies (which take a rather laboriously sarcastic tone) with a yet vaster work, the Instances. Descartes was eventually reconciled with Gassendi, perhaps on his visit to France in 1647; it may also have been then that there was a dinner for Descartes, Gassendi and Hobbes given by Descartes’s correspondent William Cavendish, Marquis of Newcastle (who in 1638 was made tutor to the future Charles II of England).

The Sixth set of Objections was from various geometers, philosophers and theologians of Mersenne’s circle. In the second edition of the Meditations (1642) all these were joined by a Seventh set by Bourdin, a professor at the Jesuit College in Paris. Despite Descartes’s general disposition to be agreeable to Jesuits, these Objections obviously (and justifiably) annoyed him, though they did elicit one or two useful clarifications about the Method of Doubt. The tone and content of Bourdin’s reply so upset him that he wrote, and had published with the Meditations, a letter to another Jesuit, Dinet, who had been his instructor at la Flèche; in this letter (VII 563 ff., HR2 347 ff.) he also cited what he had suffered at the hands of the Protestants in Holland.

Further in his attempt to establish his philosophy as official Catholic teaching, he produced in 1644 a work in the form of a textbook, divided into books and articles, the Principia Philosophiae, the Principles. Three of its four books are largely concerned with what would now be called scientific rather than philosophical matters. He had said to Huyghens (31 January 1642: III 523, K 131) that his suppressed treatise would have already appeared, but he had been ‘teaching it to speak Latin; and I shall call it Summa Philosophiae, so that it will be more familiar to the scholastics, who persecute it and try to smother it before its birth, the Ministers as much as the Jesuits’. This was the Principles, which thus contains a lot of the Traité du Monde; at the same time, Descartes hoped that ‘it could be used in Christian teaching without contradicting the text of Aristotle’. This tortuous objective means (as we shall see in Chapter 9) that as a guide to Descartes’s true opinions, the Principles has in places to be used with caution. The work was translated into French by the Abbé Claude Picot, a new enthusiast for Descartes’s philosophy, who had been opposed to him but had been converted by the Meditations. A letter to him forms the Preface to the French edition.

Descartes dedicated the Principles to a friend, the Princess Elizabeth, who is first referred to in his correspondence in 1642. This remarkable woman had been born at Heidelberg in 1618. Her father was Frederick, Elector Palatine, who was crowned King of Bohemia in November 1619 but lost the crown at the battle of the White Mountain in 1620, and then lived in exile until his death in 1632. Her mother, widowed with ten children, was Elizabeth Stuart, the ‘Winter Queen’, daughter of James I of England and sister of Charles I: Descartes found himself with the unusual task of writing the Princess a letter of consolation on the execution of her uncle (22 February 1649: V 281). Elizabeth normally spoke French, knew English, German, Flemish, Italian and Latin, had some skill in mathematics, solving a difficult problem set by Descartes, and had an interest in astronomy and physics. She was a Calvinist, but disapproved of narrow Protestant bigots. She and Descartes wrote frankly to each other on a range of topics. Though Descartes’s letters to her were published in 1657, Elizabeth refused publication of her letters to him, and asked for them back; copies were found, and they were published in 1879.

One subject that Elizabeth pursued in her correspondence with Descartes was the relation of mind and body, and the nature and control of the passions. Prompted by her discussions, Descartes wrote what was to be his last work, The Passions of the Soul, which was published in November 1649, though a manuscript had been sent already in November 1647 to Queen Christina of Sweden. The larger part of this work consists of a classification and description of the emotions: though it contains some points of interest, this part has been ignored in the present study. The material on mind–body relations, however, is a principal text for this, notorious, aspect of Descartes’s views.

In 1647 the French King awarded Descartes a pension, ‘in consideration of his great merits, and of the utility that his philosophy and his long researches would bring to the human race’, but he seems never to have received any of it, and merely had to pay out for the sending of the warrant. A more significant royal interest was that of Christina. She had been born in 1626, and had come to the throne in 1644 after a regency, in succession to her father Gustavus Adolphus. At this time she had the idea of bringing arts and letters to the North, and assembled about her a number of scholars. Descartes was approached through the French resident in Stockholm, Hector-Pierre Chanut, and urged to go to Sweden. He hesitated for a long time, and said to others that he had no desire to go to ‘the land of bears’. However, he did leave in September 1649, and arrived in Stockholm at the beginning of October. (The pilot of the ship is supposed to have told the Queen that Descartes was a ‘demi-god’ in matters of navigation and so forth.) There were two audiences with Christina, and then she left him alone for six weeks. Descartes was lonely and unhappy. He was required, among other absurd employments, to write verses for a ballet (La Naissance de la Paix, concerned with the Peace of Westphalia and Christina’s birthday). The Queen was away for the first half of January. Descartes had his picture painted by David Beck, a pupil of Van Dyck, and is said to have converted the painter to sentiments of religion during their conversations. He also drew up the statutes of a Swedish Academy – one rule he proposed was that no foreigners should belong to it. The Queen returned, and took up philosophy lessons, which took place three times a week at 5 a.m. She said later, when she became a Catholic, that these conversations had had some effect on her (she could hardly say less). Chanut’s residence, where Descartes lived, was at some distance from the Palace. He had had, moreover, for years the habit of not rising until 11, spending the earlier hours reading and writing in bed. He caught pneumonia and died at 4 a.m. on 11 February 1650. His last words are alleged to have been Ça mon âme, il faut partir.

He was buried in Stockholm, but in 1666 his body was removed to France and buried in Paris at Sainte-Geneviève. It was the occasion of a banquet of anti-scholastic and anti-authoritarian tone. Three years before, his philosophy had been condemned by Rome. This image of Descartes as an anti-clerical and indeed anti-religious force, deeply contrary to his actual disposition, was to persist. In 1791 a petition was raised for his remains to be transferred to the Panthéon: ‘Descartes, kept away from France by superstition and fanaticism,’ etc. The project was not carried out at that time, because of political events; taken up again by the Directory, it was opposed by a député who was apparently a supporter of Newton, and allowed to lapse. He was finally reburied in Saint-Germaindes- Prés in 1819, where his tomb can be seen between those of two Benedictines.

Descartes was lofty, chilly and solitary, and cultivated a certain reserve and self-sufficiency in life and manner. ‘Fermat est Gascon (a boaster), moi non,’ he is reported to have said. He valued his financial independence, and his references in the Discourse to the need for funds for experiments should not be read as an appeal for himself. He refused the offer of a M. de Montmort to set him up in a château near Paris (an offer later accepted by Gassendi), and also declined a considerable sum from the Comte d’Avaux, sent to Holland for his experiments. He was touchy where his originality was in question, and his attitude to other well-known mathematicians was often condescending or hostile. He took pleasure in mystifying them. In sending Roberval the solution to the problem of finding the tangent to a figure called the ‘garland’, which Roberval failed to solve, Descartes propounded another curve, which he in fact knew to be equivalent, as he told Mersenne in confidence; ‘I did it to make fun of him’ (23 August 1638: II 336). It was a habit of the time to wrap one’s discoveries up: rather later, Hooke concealed in anagrams his discoveries about the arch. Yet it seems paradoxical that Descartes should have deliberately left out simpler material from the Geometry, part of the book of 1637, which was supposed to be luminous to all. He was afraid that his originality would not be recognized if he made it too easy, and he took pleasure in the thought of the difficulties it would cause to geometers in France such as Fermat and the unfortunate Roberval (to Mersenne, 1 March 1638: II 28, 30; to Debeaune, 20 February 1639: II 511).

This sense of superiority to contemporary mathematicians coexisted with a belief that his ideas could be made plain to ordinary men of good sense. This seemingly rather odd combination of attitudes is more than an accident of Descartes’s temperament. The early seventeenth century was only just beginning to develop the apparatus of scientific communication, the foundation of an international scientific community, which is familiar today. The tireless Abbé Mersenne acted as a post office between the many scientists, mathematicians and others that he knew: Fermat at Toulouse, Debeaune at Blois, Desargues occasionally at Lyon, Descartes in Holland. Meetings of Pascal, Gassendi, Fermat and others at Mersenne’s cell played a part in the origin of the Académie des Sciences, not founded till 1666. With these imperfect communications, there went an imperfect sense of the need for them. Descartes found that he had no time to read Galileo’s mechanics (cf. X 573), and he died without having heard of Kepler’s laws of planetary motion, which were first announced in Paris, without attracting much attention, in 1639.

It is important that there existed no clear sense either of the size of the scientific task, or, on the other hand, of its possibility. On the one hand, sane and informed people could believe that once the right path had been found, basic understanding of nature and hence control of it would be very rapidly available. Francis Bacon admittedly had a rather distant, organizational, view of the subject – ‘he writes philosophy like a Lord Chancellor’ William Harvey said of him – but he was able to say: ‘the particular phenomena of the arts and sciences are in reality but a handful; the invention of all causes and sciences would be the labour of but a few years’. Descartes himself entertained when he was young some extravagant hopes about the control of aging, which were modified by experience.

On the other hand, this unclarity about what might be involved in the knowledge of nature could equally give rise to doubts whether it was possible at all. The traditional framework of scholastic teaching had provided a range of patterns for ‘legitimating belief’: scripture and the interpretative authority of the Church in religious matters; the force of other authoritative texts; the application to these, with the help of common observation and some traditions of experimental enquiry, of sophisticated forms of logical argument. The Reformation had questioned the traditional sources of religious authority, but had not produced any consensus, and was not going to produce any, on what others there might be. The controversies surrounding these issues helped to generate movements of scepticism, not only with respect to religion itself, but with respect to other forms of supposed knowledge. If it were objected that religious belief had no true foundation, defenders of Christianity could reply that things were no better with secular beliefs.

But there was a general doubt at work, about what powers of the human mind were relevant to the discovery of ultimate truth. Inasmuch as the medieval tradition relied on authority in secular questions, in particular (though by no means universally) the authority of Aristotle, it had no fully coherent answer to this question, which was bound to recur in the form of asking what peculiar access to truth was possessed by Aristotle, who was after all only another human being, if a very gifted one. This idea occurs repeatedly in Galileo’s Dialogues concerning the two Chief World Systems; while Descartes is, significantly, in a position to deploy a clearly developed and dismissive concept of ‘history’ to make a similar point: . . .

nor shall we come out as philosophers, if we read all the arguments of Plato and Aristotle, but can form no sound judgement on the matters in question: we shall have learned, not the sciences, but history. (Reg. iii: X 367, HR1 6)

In the Renaissance, a confusion of possible answers was generated to this question of what capacities could lead to knowledge. Many Renaissance thinkers, particularly in Italy, understood their task to be not just the establishment of knowledge about the classical past, but also the revival of the attitude to knowledge which existed in that past. But this understanding was itself surrounded by great uncertainty about what the powers of the ancients consisted in. Some of these writers perhaps did unwittingly recapitulate a feature of fifth-century bc Greek culture, of which it has been well said that the Greek sophists (who lived before the fundamental logical discoveries of Plato and Aristotle) ‘were prone to confuse the force of reason and the power of the spoken word’. Those sophists were fascinated by sceptical arguments, and originally invented some of the sceptical material which was known to the seventeenth century chiefly through the works of Sextus Empiricus (c. ad 200). This incapacity to tell the difference between the power of words and the force of argument (prevalent, then as now, in Paris) contributed to the sceptical disorientation which existed in Descartes’s time. Having discarded the run-down traditional logic which then was current (for which Descartes sustained a life-long contempt), and the answers to sceptical argument provided by the Aristotelian tradition, adventurous thinkers were uncertain what dialectical weapons could counter scepticism. But that lack was not the most important. If there are evident examples of real knowledge around, the fact that one lacks arguments to explain how such knowledge is possible is of purely philosophical – that is to say, very limited – interest. But the early seventeenth century lacked prototypes of such knowledge and also lacked settled belief about how to acquire it.

One ancient idea, variously reinterpreted in this period, was that the truth of things was hidden – in some versions, occult. Some Renaissance and post-Reformation conceptions offered as the image of one who knows, and who through knowledge has power over nature, the Magus. Recent work has emphasized, perhaps exaggerated, the role of magical and occult ideas in the formation of the seventeenth-century scientific outlook. For Descartes, it is the case that the truth about the natural world is hidden, but it is not occult, nor are occult powers needed to uncover it. It is hidden in the form of a mathematical structure which underlies sensible appearances. It is uncovered by systematic scientific enquiry and the use of the rational intellect. If there is magic in Descartes’s system, it is in its old place, with God, the Incarnation and the Sacraments.

But what was the rational intellect? In whom could it be found? Descartes’s straightforward answer was that it was to be found in everyone, in such a way that anyone, or nearly anyone, given help in clear thinking and freed from prejudice, could pursue reasonings which would lead to truth in philosophy, science or mathematics. This line is particularly emphasized in the Regulae, where he says that no sort of knowledge can be more obscure in itself than any other, since all knowledge is of the same nature, and consists solely in the putting together of simple things known in themselves. These perfectly simple truths are known even to quite uneducated people, but the minds of many have been clouded by absurd scholastic formulations (Reg. xii: X 426–8, HR1 46–7; cf. also the Introduction to the Recherche de la Vérité: X 495–9, HR1 305–7). He carried such ideas into practice, teaching his servant mathematics, and strongly approving of the scheme of a M. d’Alibert to found a college to teach arts and sciences to artisans and others who wanted to learn. The same attitude is expressed in the hope which has already been mentioned, to reach an unprejudiced public by publishing in French (a hope which, as we have also seen, he tended to replace later with that of insinuating his theories into the clergy). It goes with his preferring, in general, the company of practical men, and the same sort of attitude motivated, so he tells us, the journeys he made in his youth. As he very reasonably says:

It seemed to me that I could find much more truth in the reasonings which each man makes about the matters which are of concern to him, and of which the outcome is likely to punish him soon after if he has made a mistake, than in those which a man of letters makes in his study, concerning speculations which lead to no result, and which have no other consequence for him except perhaps that he will be all the more vain about them the further they are from common sense, since he will have had to spend that much more intelligence and skill in trying to make them seem probable. (Discourse Part i: VI 9–10, HR1 86–7)

It is notable that several of Descartes’s friends were ambassadors or other men of affairs, and it was such people who intervened to help him in his disputes with the university pedants in Holland.

What the unprejudiced mind can deploy is the power of reason, good sense, what Descartes calls ‘the natural light’, and apparently people possess it in equal measure. The Discourse famously begins:

Good sense is of all things in the world the best distributed: each thinks he is so well provided with it, that even those who are hardest to please in other things are not in the habit of wanting more of it than they have. (Discourse Part i: VI 1–2, HR1 81)

Yet even if Descartes sincerely believed that men could, when freed from prejudice, equally follow scientific reasonings, did he really believe that they were equally capable of producing them? The joke about everyone’s satisfaction with his own good sense already indicates irony, and Descartes’s attitude to his own and others’ work suggests that he thought that while anyone, properly taught, could understand the truth – which could consist ultimately of nothing but longer or shorter chains of absolutely clear and simple reasoning – it nevertheless took at least one genius to discover it. Yet even allowing for that, there will be no question of a return to authority. Nothing will be rationally believed because it was discovered by Descartes, even if it takes Descartes to discover it. It will be believed because, when put before the unprejudiced mind, it compels assent by its own rational clarity.

The ambivalence of Descartes’s attitude to such matters is mirrored also in there being, as we shall see in the next chapter, more than one way of taking his project of Pure Enquiry – as something to be done once and for all by him, or as something which others might also profitably attempt. But there is a good reason why, for Descartes, these issues could remain unresolved. The question of how many, other than himself, might be capable of making fundamental scientific and philosophical discoveries was not very important if none remained to be made. Descartes’s faith was that the basic task, at least, was soon to be achieved. Though much, quantitatively, remained to be done, he hoped to have laid the foundations.

In laying ‘foundations’, philosophy played an essential role – or, rather, a number of roles, for, as we shall see, there is more than one thing encompassed by Descartes’s favourite metaphor. But while the role is essential, it is very important that, for Descartes, philosophy’s part was very small, in relation to worthwhile knowledge as a whole. This is a book about Descartes’s philosophy, and it is as a philosopher that Descartes is now principally known; but by his own conception of things that is an irony. The project we shall be studying is a philosophical project, but it was intended by Descartes to be preliminary to a larger enterprise of science, medicine and technology, which would confer practical benefits on mankind. It was a product of his historical situation that he could hope for his project to have these results. It was also a feature of his situation that he could conceive of that project (as we shall see) as conducted by a solitary thinker, as transparent to human reason, and as definitively revealing how knowledge is, after all, possible.

The Saad Truth

I’ve been singing the praises of Glenn Loury and John McWhorter of Blogging Heads (“Where great minds don’t think alike”) here and here. Another channel that is doing terrific work in the fight against illiberalism and its most conspicuous manifestation, i.e. the suffocation of free speech, is The Saad Truth. He has had some fascinating guests who, as Nassim Nicholas Taleb puts it, actually have “skin in the game,” including Faisal Saeed AlMutar, Peter Boghossian, Christina Hoff Sommers and others, all fiercely independent-minded and who will not be coerced into towing some ideological party line or other — and whatever else separates their perspectives and conclusions (and they really are diverse in a meaningful way), they are bound by a commitment to free speech, taking on the obscurantism/illberality emanating from the Left and the Right. Free speech is the central epistemic virtue to test the tripe and multifarious charlantry, veriphobia and hypocrisy that plagues our world — perversely, much of it emanating from malicious Trojans within the one place that should countenance free speech — the academy. Another epistemic virtue that the aforementioned names share is that of modesty — no one metric/person/institution/system can claim a monopoly on truth — which is not coextensive with a commitment to the vulgar POMO social constructivist relativism of the ’80s and ’90s. TRUTH is a worthy and (always provisionally) achievable goal so long as one doesn’t make imperialistic incursions into domains using epistemic standards inappropriate to the subject matter — say, the politicization of art or science or religion or the marketocratic determination of all value — and permutations thereon. Without free speech, we might as well return to Plato’s cave and that’s why I often say that we are experiencing another Darkness at Noon moment.

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Walker Percy Wednesday 78

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Unlike him I had been unable to escape into the simple complexities of science. All he had to do was solve the mystery of the universe, which may be difficult but is not as difficult as living an ordinary life.

*****

Everybody talks about the horrors of drink, which are real enough, but not about its beauties. Your God gave us wine, didn’t he, and threw good parties? Half-drunk, I can remember everything, see everything as it is and was, the beauty in it rather than the sadness. I could remember everything we ever did. There was a lovely looseness then and a letting go and a magical transformation of those sad Southern afternoons into a garden of delights. Wasn’t there? We had a good time, you and I. Then youth ended and you left for God. I joined the A.C.L.U. and became a liberal. Then a drunk. Sober, I could not bear to look at Belle Isle and the great oaks; they seemed so sad and used up and self-canceling. Five good drinks and they seemed themselves.

*****

It is because the past, any past, is intolerable, not because it is violent or terrible or doomstruck or any such thing, but just because it is so goddamn banal and feckless and useless. And violence is the most banal and boring of all. It is horrible not because it is bloody but because it is meaningless. It does not signify.

*****

No, that’s not the mystery. The mystery lies in the here and now. The mystery is: What is one to do with oneself? As you get older you begin to realize the trick time is playing, and that unless you do something about it, the passage of time is nothing but the encroachment of the horrible banality of the past on the pure future. The past devours the future like a tape recorder, converting pure possibility into banality. The present is the tape head, the mouth of time.

*****

Consider the past. Imagine a man sitting in Feliciana Parish for twenty years practicing law (yes! “practicing”), playing at being a “moderate” or “liberal” whatever that is, all under the illusion that he was living his life and was not even aware that he was not.

But something happens. There is a difference. The difference between then and now is that now I’ve been alerted. I am aware of being the tape head. I am aware of this room being a tape head. That is why it is so simple and empty: so I can be aware. As you can see, it consists of nothing but a small empty space with time running through it and a single tiny opening on the world. I’m staying here until I can decide what the tape head is doing and whether I have anything to say about it. It is simply a devourer of time and does it necessarily turn the pure empty future into the shabby past?

*****

I still have the resolve to make a new life, an absolutely new beginning. But I know that one must start from scratch.

*****

There is too much feeding into the tape head—the new tape is too empty—too many possibilities—but the recorded tape is too full.

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Stigmergy at the Edge: Adversarial Stigmergy in the War on Drugs

Here’s an extract from the fourth article by Rodrigo Nieto-Gomez from this special Human-Human Stigmergy issue.

Pierre-Paul Grassé identified for the first time the importance of indirect (environmental) stimulus-response patterns while studying how termites were capable of creating complex habitats through coordination without central command. The most singular characteristic of this stigmergy, as Grassé called the phenomenon, is that the stimuli that guide social insects does not originate from other agents, but from the environment that regulates their actions in an iterative process. Therefore, there is no need for agents to be rationally aware of the actions of each other or even of their existence (Grasse, 1961).

The bounded rationality of human beings (Holbrook, 2002), as well as the limited information they gather from the environment are the two main reasons why, even if we admit that the average human is probably more intelligent than a “genius” termite, human-human stigmergy is a powerful kind of coordination of the same kind as those behaviors Grassé identified for social insects. It is “a way for members of a large distributed population, whatever their individual cognitive capabilities, to coordinate themselves with bounded computational resources” (Weyns, Parunak and Michel, 2006).

Systemic dependencies affect us all despite our intelligence, free will, self-consciousness and rationality because our actions are still the product of limited information about the environment in which we operate. As in the case of termites, stigmergic patterns influence human behavior all the time.

This paper will explain how resilience has been built into the system that supplies illegal drugs to American consumers as a consequence of 30 years of adversarial stigmergy between two kinds of interdependent agents:

  • governmental agents
  • criminal agents

Zolli defines resilience as “the capacity of a system, enterprise or a person to maintain its core purpose and integrity in the face of dramatically changed circumstances” (Zolli and Healy, 2012). In the case of the illegal narcotics system, its core purpose is to provide illegal products (mostly pharmacological) that are desired by consumers and for which a black market exists or can be created. They perform an arbitrage activity between human desire and legal availability that rewards them with a risk-premium. This system has persisted despite dramatic changes in circumstances (e.g. the capture of a drug kingpin, cartel wars or the construction of expensive border walls).

Criminal agents confront government agents in an interdependent, adversarial relation that constantly “shocks” the system. Nevertheless, the core purpose of the system is maintained through innovation: Drugs do not stop flowing from the territories of production to the territories of consumption despite constant shocks, but they flow through dramatically different paths.

Stigmergic coordination induces supply chain resilience as criminal agents learn from government actors how to improve their organizations and technologies. Criminal agents coordinate stigmergically with governmental agents (mostly involuntarily) to generate resilient drug supply mechanisms.

A well documented practical implementation of how this mechanism works comes from a different industry: Netflix created a system they call “Chaos Monkey” to make their systems more resilient. When activated, this nasty cyber-simian breaks parts of the Netflix network on purpose. Its designers explain the value of the Chaos Monkey in the following way: “we have found that the best defense against major unexpected failures is to fail often. By frequently causing failures, we force our services to be built in a way that is more resilient” (Techblog.netflix.com, 2012). As any movie fan knows, Netflix manages one of the most persistent Internet services available. They engineered reliability by introducing constant failure.

Measures introduced by governmental agents to enforce counternarcotics interdictions (e.g. a new section of the border wall or a new anti money-laundry law) work as a kind of Chaos Monkey for the narcotics system. Every change introduced by this homeland security Chaos Monkey sends stigmergic stimuli to the criminal agents who have to respond through trial and error to test alternative solutions to the new shape of the problem. The best solutions are repeated and improved while the bad solutions get the innovators in prison or killed. The narcotics system, like Netflix, prevents catastrophic failure by failing often…and agents learn from those failures.

The escalation dynamics in the war on drugs play the role of a Chaos Monkey in the stabilization of the narcotics system: Any success by governmental agents sends stigmergic signals to criminal agents. These signals communicate a failure in the supply chain (i.e. The homeland security chaos monkey has wreaked some havoc) that requires an adversarial innovation to defeat the updated shape of the interdiction.

The homeland security Chaos Monkey, a constant but predictable governmental escalation that shuts down parts of the network, sends variable stigmergic threat signals to criminal agents that trigger adversarial innovation responses (i.e. cartels do not rest on their laurels). After some failures, criminal entrepreneurs will find out novel mechanisms to improve their distribution channels.

As a consequence, adversarial stigmergy among government and criminal agents trims iteratively the clandestine supply chains of its most inefficient parts, without ever compromising its critical integrity, making them very resilient. Legitimate networks are normally not this effective at finding their weak links (Netflix being an exception)!

The Chaos Monkey model in the narcotics system originates a pervasive kind of coordination that makes criminal behaviors resilient. Adversarial stigmergy, the heart of the Chaos Monkey “model” explains many of the policy failures of the so-called war on drugs.

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Noah’s Mill Bourbon

I’ve been singing the praises of Bulleit bourbon on the grounds that it out performs most of the bourbons I’ve tried that are double and even triple the price. So I was rather excited to discover a bottle of Bulleit aged 10 years (about $45). Unfortunately it was a big disappointment and certainly was not worth the price. Up against Noah’s Mill it came over as pretty rough and ammonia-like. Noah’s Mill is the best bourbon I’ve tried and out does by a mile even those bourbons double the price (still a very reasonable 60 or so dollars) — so all in all this is THE bourbon to beat — if you can find a bottle! This is the one bourbon I’d pair with a good cigar.

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Denise Gordon leads Sundays’ Service

One of the most powerful (yet capable of immense subtlety) voices I’ve come across of late. This album is exceptional in the choice of material, superbly recorded (not over-produced) and last, but not least, backed by a very strong lineup of musicians including Tommy Sancton and Lars Edegran — and that’s class that really does shine through. Yes, Denise Gordon is without doubt an honorary New Orleanian. Thank goodness she left accountancy behind! Check out her YouTube channel and see just how strong and versatile she is.

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The Mangy Parrot 7

“These studies are useful, pleasant, and entertaining, young friend, because the mind does not encounter in them the abstractions of theology, the uncertainties of medicine, the intricacies of law, nor the ruggedness of mathematics. It is all satisfying, all delightful, all enchanting, and all educational, both physics as well as natural history. It doesn’t exhaust you to study it, and you don’t tire of it as an occupation. Its teachings are sweet, and it is served in a golden cup.

“Those who look at the universe from the outside are surprised by the lovely perspectives it offers; but they merely surprise themselves as little children do when they first see some pretty toy. The philosopher, looking at the universe with different eyes, goes beyond simple surprise: he knows, observes, scrutinizes, and admires everything about Nature. If he lifts his mind toward the heavens, he loses himself among those spaces filled with the most sovereign majesty: if he turns his attention to the Sun, he sees an enormous mass of intense fire, which is penetrating and inextinguishable, but at the same time beneficial and advantageous to all of Nature; if he observes the moon, he knows that it is a globe with mountains, seas, valleys, and rivers, no different from the globe he walks on, and that it is a mirror reflecting the brilliant light of the Sun and communicating its influences to us; if he observes the planets, such as Venus, Mercury, Mars, and the rest of the multitude of heavenly bodies, both fixed and wandering, he contemplates no less than an infinity of worlds, some lit from within and others reflecting light from without, some suns and others moons that constantly observe the movements and orbits prescribed for them by the Almighty since the beginning. If he lowers his reflections to this planet we inhabit, he wonders at the economy with which it was crafted; he sees water suspended on earth, held back only by a frail dusting of sand; sees towering mountains, thundering cascades, cheerful springs, tame creeks, swift-flowing rivers; sees trees, plants, flowers, fruits, jungles, valleys, hills, birds, wild beasts, fish, man, and even the contemptible little crawling insects; and all of it, all of it offers him a theater for his curiosity and investigation.

“The atmosphere, clouds, rain, morning dew, hail, ignis fatuus, aurora borealis, thunder, lightning flashes and blasts, and all the meteors of Nature present a vast field for his detailed and meticulous examination; and after he has admired, contemplated, The Mangy Parrot examined, meditated on, pondered, and sharpened his mind upon this prodigious chaos of heterogeneous beings, as admirable as they are incomprehensible, he pauses to reflect that his knowledge or ignorance of these same things leads him, as if by the hand, to the very foot of the Creator’s throne. Then the true philosopher cannot but be overwhelmed and fall prostrate before the Supreme Deity, confess His power, praise His providence, silently recognize the sublimity of His wisdom, and give infinite thanks to Him for the deluge of benefits that He has rained down upon His creatures—the most noble, the most exalted, the most privileged, and the most ungrateful of His earthly creatures being Man, under whose feet (as the voice of truth tells us) He has put all creation: Omnia subjecisti sub pedibus ejus. No sooner does the philosopher reach these lofty and necessary heights of knowledge than he becomes a contemplative theologian, for just as all the spokes of a cartwheel rest on the axle that forms their center, so all creatures recognize their central point in the Creator; thus, any impious atheist who denies the existence of a God who has created and preserved the universe, is working against the common testimony of all nations, for the most barbarous and savage nations have recognized this sovereign principle; because the heavens themselves proclaim the glory of God, the firmament announces His wondrous works, and all the creatures that reveal themselves to our sight are guides leading us to adore the wonders that we see. But as you can see, atheists are all brutes who only seem like men, or men who voluntarily wish to be less than brutes. This much is obvious. . . . ”

*****

The first is a mind that bends to reason; the second, a noble and sensitive heart, which has never let me give in to my passions. I put it this way, because when I have at times committed excesses, it has been difficult for me to subordinate my spirit to my flesh. That is, I have committed evil knowing what I was doing and riding roughshod over the protests of my conscience, and in the full awareness of justice, as befalls every man who slips into crime. Because of these good qualities, which, as I say, I have noted in my soul, I have never been vengeful, not even against my enemies, much less against someone who I knew had counseled me well, if perhaps somewhat harshly; which is not a common thing, because our self-love ordinarily suffers from the gentlest corrections; and because of this, the people at the hacienda were amazed by the friendly harmony they observed between me and the father.

*****

“Father,” I said to him, “is that how rational beings act, exposing their lives to be sacrificed by an enraged beast? And do so many people troop in to enjoy the blood of the brutes spilled, and perhaps even that of their fellow men?”

“That is precisely what happens,” the curate answered me, “and it will keep happening in the realms of Spain until at last we forget this custom, as repugnant to Nature as it is to the enlightenment of the century in which we live.”

*****

“Look here,” the father said to me; “I will gladly help you improve yourself, but that would be revenge, a vile passion that you should curb your whole life long;The Mangy Parrot taking revenge denotes a low soul, one incapable of overlooking the slightest affront. Pardoning insults is not only the characteristic sign of a good Christian, but also of a noble and great soul. Anyone, no matter how poor, feeble, or cowardly, is capable of avenging an offense; that doesn’t take religion, talent, wisdom, nor nobility, high birth, education, nor anything that is good; all you need is to have a debased soul and to let your anger run wild, and then subscribe to the bloody emotions it inspires. To forgive an affront, to pardon those who offend us, and to repay evil with beneficent acts, you not only need to know the Gospel (though that should be sufficient), but to have a heroic soul and a sensitive heart, and those are none too common; nor is it a common occurrence to find heroes like Trajan, of whom it is said that, when he was receiving his subjects in public audience, a shoemaker went up to the throne pretending to beg for justice; he drew close to the emperor, and taking advantage of his lowered guard, slapped him. The people surged forward, and the sentinels wanted to kill him on the spot; but Trajan would not allow it, wishing to punish the man himself. With the traitor held tight before him, Trajan asked: ‘How have I offended you? What motive did you have to injure me?’ The shoemaker, being as thickheaded as he was vain, replied: ‘Sir, the people say their blessings for your amiable character; I have no complaint to make of you; rather, I committed this sacrilegious crime, knowing that I would die, so that future generations would say that a shoemaker had the courage to slap the emperor Trajan.’ ‘Very well, then,’ Trajan said; ‘if that was your motive, I won’t let you surpass me in courage. I also want posterity to say that, if a shoemaker dared to slap the emperor Trajan, then Trajan had the courage to pardon the shoemaker. You are free.’ No need to praise this act; it recommends itself, and you can deduce from it and from thousands of similar acts along the same lines that, to seek revenge, you have to be low and cowardly; but not seeking revenge takes nobility and courage; for knowing how to conquer oneself and tame one’s passions is the most difficult conquest of all, and therefore is the most praiseworthy victory and the most reliable proof of a magnanimous and generous heart. For all these reasons, I think that it would be good for you to forget and overlook Mr. Januario’s insults.”

“Well, father,” I said, “if it takes more courage to pardon an insult than to inflict one, then from now on I declare that I won’t take revenge on Juan Largo or on anyone else who ever affronts me in this life.”

“Oh, Don Pedrito!” the curate answered me. “How valuable such resolutions would be in this world if only they were carried out! But there is no reason to declare a resolution arrogantly, because we are all weak and frail, and we cannot trust our own virtue, nor feel secure in our word alone. In the hour of the storm, sailors make a thousand promises, but when they pull in to port, they forget them as if they had never been uttered. When the earth trembles, all you can hear are prayers, acts of contrition, and pledges to reform; but when the quake ends, the drunks head back to their cups, the lewd back to the ladies, the gamblers back to the card tables, usurers back to their profits, and everyone back to their old vices. One of the most unbecoming things about man is his confidence in himself. That confidence is what makes young people liable to prostitute themselves, prudish souls to stray, administrators of justice to yield to temptation, and the wisest and saintliest of men to José Joaquín Fernández de Lizardi become delinquents. Solomon lied; and St. Peter, who thought himself the bravest of the apostles, was the first and only to deny his divine Teacher. So we shouldn’t put too much trust in our own strength, nor chatter too long about our word of honor, for until the moment comes, we’re all as firm as a rock; but, when it arrives, we’re a miserable bunch of reeds, bending to the first breeze that hits us.”

*****

“Not very happy, if you’ll pardon my saying so,” said the vicar; “for this gentleman doesn’t understand a word of anything he’s said; rather, he’s a philosophical blasphemer.

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Herbert Simon and Agent-Based Computational Economics

The seventh in a series of excerpts from Minds, Models and Milieux: Commemorating the Centennial of the Birth of Herbert Simon.

Shu-Heng Chen and Ying Fang Kao

Herbert Simon is a quintessential interdisciplinary scholar who has made pioneering contributions concerning the notion of bounded rationality, has built models based on it, and has also made important advances in understanding complex systems. His importance in the field of artificial intelligence, which is in turn the inspiration of agent-based computational economics (ACE), is discussed in detail in Chen (2005). Among all the Nobel Laureates in Economics, there are at least three whose work has been acknowledged by the ACE community. They are Friedrich Hayek (1899-1992), Thomas Schelling, and Elinor Ostrom (1933-2012). The last two directly worked on ACE. Schelling’s celebrated work on the segregation model is considered as one of earliest publications on ACE (Schelling, 1971). Ostrom had contributed to the development of the empirical agent-based models (Janssen and Ostrom, 2006). Hayek did not work on ACE, but the connection of his work to ACE has been pointed out by Vriend (2002).

We believe that there is a strong connection between the development of ACE and Herbert Simon and that his influence on ACE is not less, if not more, profound than the previous three. However, to the best of our knowledge, there seems to be no single document that from a holistic perspective addresses this linkage explicitly.[i] We conjecture that the burgeoning of ACE was too late for the time of Simon, who ended his professional life in 2001. However, even so, it still surprises us that so few attempts have been made to connect Simon and ACE, particularly considering that the latter was founded on artificial intelligence and cognitive psychology, the two pillars to which the former has contributed substantially.

In this chapter, we attempt to explore and identify the connections between Simon’s contributions and the development of ACE. We concentrate on his influence on the conception of an individual within an economic or social system, his philosophy regarding how the social systems are organized and can be understood, and finally about how the underlying rules that govern social interactions can be unearthed by the investigator, in this case a social scientist. We also suggest ways with which the future developments within ACE can be geared to be more Simonian in character and to be closer to his vision.

The rest of the chapter is structured as follows. Section 2 provides an overview of the setting in which we place our arguments. We then divide our arguments into three main departments: individuals, complex systems and the epistemology of ACE. In Section 3, the modeling of software agents in light of Simon’s bounded rationality is discussed. In Section 4, various aspects of complex systems are included here. In Section 5, we elaborate on ACE’s potential as an alternative to neoclassical economics. We conclude the paper in the last section.

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Imitation and Novelty in Product Development

Here’s an extract from the third article by Ted Lewis and Richard Bergin from this special Human-Human Stigmergy issue.

  1. A human stigmergy framework for product development

Many investigators over the past century have attempted to quantify human innovation as a property of social organizations such as corporations as well as individual entrepreneurs. Andergassen et al. argue that innovation appears in two forms – from invention and diffusion:

The first is an exogenous thrust imparted to the system by a random innovative arrival whilst the second is due mainly to innovation that takes place through diffusion of information (Andergassen et al., 2006).

For the purposes of this paper, “random innovation” is a type of novelty, and “diffusion of information” is a type of imitation. In fact, novelty appears whenever an unexpected breakthrough “randomly occurs”, and imitation appears whenever an idea is copied, regardless of how it arrives.

Andergassen et al. further claim that occurrences of product innovation obey a long-tailed distribution, or Levy flight in time, because diffusion of information accumulates until reaching a point of self-organized criticality, SOC. Then an avalanche of copycat products mimics products developed from the initial “random innovation”. The sudden appearance of the Apple iPhone and iPad are apparent examples: the iPhone appeared as a random innovation and was quickly imitated by an avalanche of copycats. Thus, product development is a series of episodic “random innovations” or novelties, followed by an avalanche of copycats, or imitations.

Ferrary and Granovetter (2009) further develop the idea of the spread of product innovation through imitative diffusion by modeling Silicon Valley and other highly creative industrial commons as social networks. Venture capital firms supply “information diffusion” services as well as money, acting as a kind of transmitter of intellectual viruses through their social network:

The presence of venture capital (hereafter VC) firms in an innovative cluster opens potential specific interactions with other agents in the network (universities, large companies, laboratories) that determine a particular dynamic of innovation. In this perspective, what is distinctive about Silicon Valley is its complete and robust complex system of innovation supported by social networks of interdependent economic agents in which the VC firms have a specific function (Ferrary and Granovetter, 2009, p. ??).

In this model, imitation and novelty is a human activity akin to stigmergy in the animal kingdom, whereby imitative actions (work) are stimulated by social interactions initiated by previous novel and imitative actions (work). What distinguishes the Silicon Valley entrepreneur from others is the social network embodied in the VC firm. The Silicon Valley entrepreneur leverages this advantage to “out-innovate” entrepreneurs from other industrial commons. It is this stigmergic work done by networking that makes Silicon Valley more productive.

If product development is a byproduct of invention (novelty) and information obtained through stigmergic social network diffusion (imitation), then it should be possible to demonstrate the machinery of the evolutionary process itself. The sudden appearance of an “innovative product” such as the Apple iPhone should be traced to earlier novel and imitative products, etc. Furthermore, assuming an idea is transmitted by a social network of cooperating actors (diffusion of information for the purpose of imitation), it should be possible to demonstrate and model the machinery of product development as a form of human stigmergy.

This paper develops a stigmergic model of product development based on the forgoing concepts of novelty and imitation in social networks. It postulates that invention is a group activity, rather than the result of an isolated inventor working in isolation. Furthermore, the group dynamic is stigmergic, meaning that each advance incorporates previous novelties and imitations. No advance is an isolated step. The process of combining novelty and imitation is modeled as a self-organizing network of stigmergic “breakthroughs”. Some breakthroughs simply combine existing product designs (imitation), while others combine new and novel features with existing designs.

 

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