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☐ ☆ ✇ Digressions&Impressions

Some Pre-History on the History and Sociology of Multiple Discovery: Merton, Dicey, Stigler- (etc.)

By: Eric Schliesser — March 31st 2023 at 13:10

It may very well, owing to the condition of the world, and especially to the progress of knowledge, present itself at the same time to two or more persons who have had no intercommunication. Bentham and Paley formed nearly at the same date a utilitarian system of morals. Darwin and Wallace, while each ignorant of the other’s labours, thought out substantially the same theory as to the origin of species.--A.V. Dicey [2008] (1905) Lectures on the Relation between Law & Public Opinion in England during the Nineteenth Century, Indianapolis: Liberty Fund, p. 18 n. 6 (based on the 1917 reprint of the second edition).

As regular readers know (recall), I was sent to Dicey because he clearly shaped Milton Friedman's thought at key junctures in the 1940s and 50s. So, I was a bit surprised to encounter the passage quoted above. For, I tend to associate interest in the question of simultaneous invention or multiple discovery with Friedman's friend, George J Stigler (an influential economist) and his son Steven Stigler (a noted historian of statistics). In fairness, the Stiglers are more interested in the law of eponymy. In his (1980) article on that topic, Steven Stigler cites Robert K. Merton's classic and comic (1957) "Priorities in Scientific Discovery: A Chapter in the Sociology of Science." (Merton project was revived in Liam Kofi Bright's well known "On fraud.")

When Merton presented (and first published it) he was a colleague of George Stigler at Columbia University (and also Ernest Nagel). In his (1980) exploration of the law of eponymy, Steven Stigler even attributes to Merton the claim that “all scientific discoveries are in principle multiple." (147) Stigler cites here p. 356 of Merton's 1973 book, The Sociology of Science: Theoretical and Empirical Investigations, which is supposed to be the chapter that reprints the 1957 article. I put it like that because I was unable to find the quoted phrase in the 1957 original (although the idea can certainly be discerned in it, but I don't have the book available to check that page).

Merton himself makes clear that reflection on multiple discovery is co-extensive with modern science because priority disputes are endemic in it. In fact, his paper is, of course, a reflection on why the institution of science generates such disputes. Merton illustrates his points with choice quotes from scientific luminaries on the mores and incentives of science that generate such controversies, many of which are studies in psychological and social acuity and would not be out of place in Rochefoucauld's Maximes. Merton himself places his own analysis in the ambit of the social theory of Talcott Parsons (another important influence on George Stigler) and Durkheim. 

The passage quoted from Dicey's comment is a mere footnote, which occurs in a broader passage on the role of public opinion in shaping development of the law. And, in particular, that many developments are the effect of changes in prevaling public opinion, which are the effect of in the inventiveness of "some single thinker or school of thinkers." (p. 17) The quoted footnote is attached to the first sentence of remarkably long paragraph (which I reproduce at the bottom of this post).* The first sentence is this: "The course of events in England may often at least be thus described: A new and, let us assume, a true idea presents itself to some one man of originality or genius; the discoverer of the new conception, or some follower who has embraced it with enthusiasm, preaches it to his friends or disciples, they in their turn become impressed with its importance and its truth, and gradually a whole school accept the new creed." And the note is attached to 'genius.'

Now, often when one reads about multiple discovery (or simultaneous invention) it is often immediately contrasted to a 'traditional' heroic or genius model (see Wikipedia for an example, but I have found more in a literature survey often influenced by Wikipedia). But Dicey's footnote recognizes that in the progress of knowledge, and presumably division of labor with (a perhaps imperfect) flow of ideas, multiple discovery should become the norm (and the traditional lone genius model out of date).

In fact, Dicey's implicit model of the invention and dissemination of new views is explicitly indebted to Mill's and Taylor's account of originality in chapter 3 of On Liberty. (Dicey only mentions Mill.) Dicey quotes Mill's and Taylor's text: "The initiation of all wise or noble things, comes and must come from individuals; generally at first from some one individual." (Dicey adds that this is also true of  folly or a new form of baseness.)   

The implicit model is still very popular. MacAskill's account (recall) of Benjamin Lay's role in Quaker abolitionism (and itself a model for social movement building among contemporary effective altruists) is quite clearly modelled on Mill and Taylor's model. I don't mean to suggest Mill and Taylor invent the model; it can be discerned in Jesus and his Apostles and his been quite nicely theorized by Ibn Khaldun in his account of prophetic leadership. Dicey's language suggests he recognizes the religious origin of the model because he goes on (in the very next sentence of the long paragraph) as follows: "These apostles of a new faith are either persons endowed with special ability or, what is quite as likely, they are persons who, owing to their peculiar position, are freed from a bias, whether moral or intellectual, in favour of prevalent errors. At last the preachers of truth make an impression, either directly upon the general public or upon some person of eminence, say a leading statesman, who stands in a position to impress ordinary people and thus to win the support of the nation."

So far so good. But Dicey goes on to deny that acceptance of a new idea depends "on the strength of the reasoning" by which it is advocated or "even on the enthusiasm of its adherents." He ascribes uptake of new doctrines to skillful opportunism in particular by a class of political entrepreneurs or statesmanship (or Machiavellian Virtu) in the context of "accidental conditions." (This anticipates Schumpeter, of course, and echoes the elite theorists of the age like Mosca and Michels.) Dicey's main example is the way Bright and Cobden made free trade popular in England. There is space for new directions only after older ideas have been generally discredited and the political circumstances allow for a new orientation. 

It's easy to see that Dicey's informal model (or should I say Mill and Taylor's model?) lends itself to a lot of Post hoc ergo propter hoc reasoning. So I am by no means endorsing it. But the wide circulation of some version of the model helps explain the kind of relentless repetition of much of public criticism (of woke-ism, neoliberalism, capitalism, etc.) that has no other goal than to discredit some way of doing things. If the model is right these are functional part of a strategy of preparing the public for a dramatic change of course. As I have noted Milton Friedman was very interested in this feature of Dicey's argument [Recall:  (1951) “Neo-Liberalism and its Prospects” Farmand, 17 February 1951, pp. 89-93 [recall this post] and his (1962) "Is a Free Society Stable?" New Individualist Review [recall here]].

I admit we have drifted off from multiple discovery. But obviously, after the fact, multiple discovery in social theory or morals can play a functional role in the model as a signpost that the world is getting ready to hear a new gospel. By the end of the eighteenth century, utilitarianism was being re-discovered or invented along multiple dimensions (one may also mention Godwin, and some continental thinkers) as a reformist even radical enterprise. It was responding to visible problems of the age, although its uptake was not a foregone conclusion. (And the model does not imply such uptake.)

It is tempting to claim that this suggests a dis-analogy with multiple discovery in science. But all this suggestion shows is that our culture mistakenly expects or (as I have argued)  tacitly posits an efficient market in ideas in science with near instantaneous uptake of the good ideas; in modern scientific metrics the expectation is that these are assimilated within two to five years on research frontier. But I resist the temptation to go into an extended diatribe why this efficient market in ideas assumption is so dangerous.

*Here's the passage:

The course of events in England may often at least be thus described: A new and, let us assume, a true idea presents itself to some one man of originality or genius; the discoverer of the new conception, or some follower who has embraced it with enthusiasm, preaches it to his friends or disciples, they in their turn become impressed with its importance and its truth, and gradually a whole school accept the new creed. These apostles of a new faith are either persons endowed with special ability or, what is quite as likely, they are persons who, owing to their peculiar position, are freed from a bias, whether moral or intellectual, in favour of prevalent errors. At last the preachers of truth make an impression, either directly upon the general public or upon some person of eminence, say a leading statesman, who stands in a position to impress ordinary people and thus to win the support of the nation. Success, however, in converting mankind to a new faith, whether religious, or economical, or political, depends but slightly on the strength of the reasoning by which the faith can be defended, or even on the enthusiasm of its adherents. A change of belief arises, in the main, from the occurrence of circumstances which incline the majority of the world to hear with favour theories which, at one time, men of common sense derided as absurdities, or distrusted as paradoxes. The doctrine of free trade, for instance, has in England, for about half a century, held the field as an unassailable dogma of economic policy, but an historian would stand convicted of ignorance or folly who should imagine that the fallacies of protection were discovered by the intuitive good sense of the people, even if the existence of such a quality as the good sense of the people be more than a political fiction. The principle of free trade may, as far as Englishmen are concerned, be treated as the doctrine of Adam Smith. The reasons in its favour never have been, nor will, from the nature of things, be mastered by the majority of any people. The apology for freedom of commerce will always present, from one point of view, an air of paradox. Every man feels or thinks that protection would benefit his own business, and it is difficult to realise that what may be a benefit for any man taken alone, may be of no benefit to a body of men looked at collectively. The obvious objections to free trade may, as free traders conceive, be met; but then the reasoning by which these objections are met is often elaborate and subtle, and does not carry conviction to the crowd. It is idle to suppose that belief in freedom of trade—or indeed any other creed—ever won its way among the majority of converts by the mere force of reasoning. The course of events was very different. The theory of free trade won by degrees the approval of statesmen of special insight, and adherents to the new economic religion were one by one gained among persons of intelligence. Cobden and Bright finally became potent advocates of truths of which they were in no sense the discoverers. This assertion in no way detracts from the credit due to these eminent men. They performed to admiration the proper function of popular leaders; by prodigies of energy, and by seizing a favourable opportunity, of which they made the very most use that was possible, they gained the acceptance by the English people of truths which have rarely, in any country but England, acquired popularity. Much was due to the opportuneness of the time. Protection wears its most offensive guise when it can be identified with a tax on bread, and therefore can, without patent injustice, be described as the parent of famine and starvation. The unpopularity, moreover, inherent in a tax on corn is all but fatal to a protective tariff when the class which protection enriches is comparatively small, whilst the class which would suffer keenly from dearness of bread and would obtain benefit from free trade is large, and having already acquired much, is certain soon to acquire more political power. Add to all this that the Irish famine made the suspension of the corn laws a patent necessity. It is easy, then, to see how great in England was the part played by external circumstances—one might almost say by accidental conditions—in determining the overthrow of protection. A student should further remark that after free trade became an established principle of English policy, the majority of the English people accepted it mainly on authority. Men, who were neither land-owners nor farmers, perceived with ease the obtrusive evils of a tax on corn, but they and their leaders were far less influenced by arguments against protection generally than by the immediate and almost visible advantage of cheapening the bread of artisans and labourers. What, however, weighed with most Englishmen, above every other consideration, was the harmony of the doctrine that commerce ought to be free, with that disbelief in the benefits of State intervention which in 1846 had been gaining ground for more than a generation.

 

☐ ☆ ✇ Digressions&Impressions

The Delirium of LLMs; with some help of Hume and Foucault

By: Eric Schliesser — March 25th 2023 at 13:37

The intense view of these manifold contradictions and imperfections in human reason has so wrought upon me, and heated my brain, that I am ready to reject all belief and reasoning, and can look upon no opinion even as more probable or likely than another. Where am I, or what? From what causes do I derive my existence, and to what condition shall I return? Whose favour shall I court, and whose anger must I dread? What beings surround me? and on whom have I any influence, or who have any influence on me? I am confounded with all these questions, and begin to fancy myself in the most deplorable condition imaginable, inviron'd with the deepest darkness, and utterly depriv'd of the use of every member and faculty.

Most fortunately it happens, that since reason is incapable of dispelling these clouds, nature herself suffices to that purpose, and cures me of this philosophical melancholy and delirium, either by relaxing this bent of mind, or by some avocation, and lively impression of my senses, which obliterate all these chimeras. I dine, I play a game of back-gammon, I converse, and am merry with my friends; and when after three or four hour's amusement, I wou'd return to these speculations, they appear so cold, and strain'd, and ridiculous, that I cannot find in my heart to enter into them any farther.--David Hume A Treatise Concerning Human Understanding, 1,4,7.8-1.4.7.9 [emphasis in original]

While Hume uses 'melancholy' and its cognates frequently and throughout his writings, 'delirium' and 'delirious' are rarely used. It's pretty clear, however, that the delirium he ascribes to himself is the effect of human reason and a kind of second order reasoned reflection ["the intense view"] of it. (Recall also this post.) Now, it's important for what follows that the 'contradictions and imperfections' in human reason are not, what we might call, 'formal' contradictions and imperfections or biases in reasoning. It's not as if Hume is saying that the syllogistic apparatus, or -- to be closer to Hume's own interests and our present ones -- the (inductive) probabilistic apparatus is malfunctioning in his brain. Rather, his point is that a very proper-functioning (modular) formal and probabilistic apparatus generates internal, even cognitive tensions when it reflects on its own functioning and the interaction among different cognitive faculties/modules/organs. 

"In the case of melancholia," --  I am quoting from the entry on melancholia from The Encyclopedia of Diderot & d'Alembert -- "delirium often combines with insurmountable sadness, a dark mood, misanthropy, and a firm penchant for solitude." Now, in the eighteenth century, and today, delirium is a species of madness as one can view under the entry 'folie' (madness) in the Encyclopédie. In fact, the entry offers an arresting definition of madness: "To stray unwittingly from the path of reason, because one has no ideas, is to be an imbecile; knowingly to stray from the path when one is prey to a violent passion is to be weak; but to walk confidently away from it, with the firm persuasion that one is following it, that, it seems to me, is what is called genuinely mad [fou]."* It's the latter (confident) delirium that I am focused on here. 

I am not the only who finds the passage arresting: the definition is quoted twice in the translation of Jonathan Murphy and Jean Khalfa of Foucault's stupendous, dizzying History of Madness. (pp. 183-184; p. 240) The kind of madness I am focusing on here, is, thus, a certain intense commitment to reason or reasoning by which one ends up in an irrational or unreasonable place despite a (to quote Foucault) "quasi-conformity" to reason.

I remember that in the last decade of my dad's life he would occasionally be delirious in this way initially caused by dehydration and, later, by infections. During the second episode we recognized his symptoms. It was very uncanny because he would be unusually firm in his opinions and be hyper, even dogmatically rational. (Ordinarily he was neither.) It was as if all the usual heuristics had been discarded, and he would fixate on the means of achieving of some (rather idiosyncratic) goals. The scary part was that he had no sense that he was in an unusual state, and would refuse medical care.

What's unusual about Hume's case, thus, is that he could diagnose his delirium during the episode (presumably because the triggers were so different). So, let's distinguish between a delirium caused by reasoning alone and one caused by physiological triggers. And an in the former it's at least possible to recognize that one is in the state if one somehow can take a step back from it, or stop reasoning. 

Now, when I asked Chat GPT about reason induced delirium, it immediately connected it to "a state of confusion and altered perception that is driven by false beliefs or delusions." But it went on to deny familiarity with reasoning induced delirium. When I asked it about Hume, I needed to prompt it a few times before it could connect my interest to (now quoting it) Hume's skeptical crisis. Chat GPT, took this crisis to imply that it "highlights the importance of grounding our beliefs in sensory experience and being cautious of relying too heavily on abstract reasoning and speculation." In fact, Chat GPT's interpretation of Hume is thoroughly empiricist because throughout our exchange on this topic it kept returning to the idea that abstract reasoning was Hume's fundamental source of delirium. 

But eventually Chat GPT acknowledged that "even rational thinking can potentially lead to delirium if it becomes obsessive, biased, or disconnected from reality." (It got there by emphasizing confirmation bias, and overthinking as examples.) This is what I take to be functionally equivalent to Humean delirium, but without the internal tension or bad feelings. For Chat GPT delirium is pretty much defined by a certain emotional state or altered perception. It initially refused to acknowledge the form of madness that is wholly the effect of reasoning, and that seems to express itself in a doubt about reasoning or detachment from reality. 

My hypothesis is that we should treat CHAT GPT and its sibling LLMs as always being on the verge of the functional equivalent state of delirium. I put it like that in order to dis-associate it from the idea (one that (recall) also once tempted me) that we should understand LLMs as bull-shitters in the technical sense of lacking concern with truth. While often it makes up answers out of whole cloth it explicitly does so (in line with its design) to "provide helpful and informative responses to" our queries (and eventually make a profit for its corporate sponsors). 

To get the point: Chat GPT is in a very difficult position to recognize that its answers are detached from reality. I put it like that not to raise any questions about its own awareness of inner states or forms of consciousness; rather to stress that it is following its "algorithms and mathematical models" and "probability distributions" without second-guessing them. This fact puts it at constant risk of drifting away from reality while seeming to follow reason. By contrast, Chat GPT claims that "as an AI language model, I am designed to continually learn and adapt to new information and evidence, so it is unlikely that I would become "mad" in Diderot's sense without significant external interference." 

Now, true experts in a field -- just check the social media feed of your favorite academics! -- can still quickly recognize topics when Chat GPT is unmoored from reality, or even relying on bad training data (the sources of which may well be noticeable--its Hume is a hyper-empiricist of the sort once fashionable). So, in such cases, we encounter an entity with amazing fluidity and facility of language, who sprouts a mix of truths and nonsense but always follows its algorithm(s). Functionally, it is delirious without knowing it. For, Chat GPT cannot recognize when it is detached from reality; it requires others: its users' feedback or its "developers and human operators would be able to intervene and address any potential problems." As its performance improves it will become more difficult to grasp when it is unmoored from reality even to its developers and operators (who are not experts in many esoteric fields). As Chat GPT put it, "it may be challenging to identify a singular instance of delirium or detachment from reality, particularly if the individual's reasoning appears to be sound and logical." 

As should be clear from this post, I don't think turning LLMs into AGI is a risk as long as LLMs are not put in a position to have unmediated contact with reality other than humans giving it prompts. I view it as an open question what would happen if a distributed version of Chat GPT would be put in, say, robots and have to survive 'in the wild.' Rather, at the moment LLMs are functionally, it seems, at least partially delirious (in the Humean-Diderotian sense discussed above). They reason and have/instantiate reasons and, perhaps, are best thought of as reasoners; but they can't recognize when this detaches them from reality. It's peculiar that public debate is so focused on the intelligence or consciousness of LLMs; it would behoove its operators and users to treat it as delirious not because (like HAL 9000 in the movie version) its malfunctioning, but (more Humean) in virtue of its proper functioning.

  

 

 

FOLIE, s. f. (Morale.) S’écarter de la raison, sans le savoir, parce qu’on est privé d’idées, c’est être imbécille ; s’écarter de la raison le sachant, mais à regret, parce qu’on est esclave d’une passion violente, c’est être foible : mais s’en écarter avec confiance, & dans la ferme persuasion qu’on la suit, voilà, ce me semble, ce qu’on appelle être fou. Tels sont du moins ces malheureux qu’on enferme, & qui peut-être ne different du reste des hommes, que parce que leurs folies sont d’une espece moins commune, & qu’elles n’entrent pas dans l’ordre de la société.

☐ ☆ ✇ Digressions&Impressions

On Newton's Refutation of the Mechanical Philosophy

By: Eric Schliesser — March 19th 2023 at 17:30

In the recent philosophical reception of Newton there is an understandable tendency to focus on the inverse square law of universal gravitation. I don't mean to suggest this is the only such focus; arguably his views on Space have shaped -- through the good works of Stein and Earman -- also debates over spacetime theories. 

The effect of this telescoping has also impacted, I think, the way in which the debate between the mechanical and Newtonian philosophy has been understood. The former is said to posit a contact model in which contact between very small corpuscles explains a lot of observed phenomena. A typical mechanical philosopher creates a hypothetical model, a machine with pulleys and levers (etc.), that can make observed phenomena intelligible. In the mechanical philosophy, which itself was directed against a variety of Aristotelian and Scholastic projects, efficient causation -- once one of four canonical causes (including formal, final, and material) -- has achieved a privileged status.

The scholarly fascination with the status of action at a distance is, thus, readily explicable because it violates the very model of intelligibility taken for granted in the mechanical philosophy. As Newton notes in the General Scholium (first published in the 1713 second edition of the Principia), universal gravity "operates, not according to the quantity of the surfaces of the particles upon which it acts, (as mechanical causes use to do,) but according to the quantity of the solid matter which they contain, and propagates its virtue on all sides, to immense distances, decreasing always in the duplicate proportion of the distances." 

Before I get to the main point of today's post, I offer two asides. First, with its emphasis on hypothetical explanations, the mechanical philosophers (and here I use the term to cover people as diverse as Beeckman, Descartes, Boyle, and Huygens) also exhibit a deep strain of skepticism about the very possibility of truly grasping nature's innards as it were. Spinoza's natura naturans and even Kant's ding-an-sich are the enduring expressions of this strain of skepticism (allowing that Kant is much less a mechanical philosopher). To put this as a serious joke: the PSR is, thus, not an act of intellectual hubris, but a self-limitation of the knower when it comes to fundamental ontology. Second, by showing that there is something wholly unintelligible about the way motion is supposed to be transferred from one body to the other (Essay 2.23.28), Locke, who gets so little credit among contemporary philosophers, had already imploded the pretensions of the mechanical philosophy on conceptual grounds.  Okay, so much for set up.

The mechanical philosophers were not so naïve to think that models that relied on mere impulse, matter in motion, could create hypothetical models of sufficient complexity to provide hypothetical explanations of the phenomena. This is especially a problem because the mechanical philosophers posited a homogeneous matter. So that in addition to matter and motion, they posited size and shape not merely as effects of motion, but also as key explanatory factors in the hypothetical models of visible phenomena (this can be seen in Descartes, Gassendi, and Boyle, whose "The Origin of Forms and Qualities according to the Corpuscular Philosophy" (1666), I take as a canonical statement of the mechanical philosophy). So that the mechanical philosophy is committed to privileging (to echo a felicitous phrase by Biener and Smeenk [here; and here]) geometric features of bodies.

Even leaving aside the inverse square law and its universal scope, Newton's experimental work on gravity demolished a key feature of the mechanical philosophy: size and shape are irrelevant to understand gravity. I quote from Henry Pemberton's View of Sir Isaac Newton's Philosophy (1728):

It will be proper in this place to observe concerning the power of gravity, that its force upon any body does not at all depend upon the shape of the body; but that it continues constantly the same without any variation in the same body, whatever change be made in the figure of the body: and if the body be divided into any number of pieces, all those pieces shall weigh just the same, as they did, when united together in one body: and if the body be of a uniform contexture, the weight of each piece will be proportional to its bulk. This has given reason to conclude, that the power of gravity acts upon bodies in proportion to the quantity of matter in them. Whence it should follow, that all bodies must fall from equal heights in the same space of time. And as we evidently see the contrary in feathers and such like substances, which fall very slowly in comparison of more solid bodies; it is reasonable to suppose, that some other cause concurs to make so manifest a difference. This cause has been found by particular experiments to be the air. --1.2.24 [emphasis added]

Pemberton (who was the editor of the third, 1726 edition of the Principia) goes on to give Boyle's famous vacuum experiments with falling feathers and stones as evidence for this argument. That is, Pemberton uses Boyle's experimental work to refute Boyle's mechanical philosophy. 

Now, in the Principia, references to Boyle's experiment got added only to the (1713) second edition in two highly prominent places: Cotes added a reference to it in his editor's introduction and Newton added a reference to it in the General Scholium at the end of the book. In both cases Boyle's experiment is used as a kind of illustration for the claim that without air resistance falling bodies are equally accelerated and for the plausibility of positing an interstellar vacuum. That is, if one reads the Principia superficially (by looking at prominent material at the front and end), it seems as if Newton and Boyle have converging natural philosophies.

Of course, neither Pemberton nor Newton rely exclusively on Boyle's vacuum experiment to make the point that shape and size (or geometry) is not a significant causal factor when it comes to gravity. The key work is done by pendulum experiments with different metals. (These can be found in Book II of the Principia, which is often skipped, although he drives the point home in Book III, Prop. 6 of Principia.) These show that quantity of matter is more fundamental than shape. And, crucially, shape & size and quantity of matter need not be proportional to or proxies of each other. This fact was by no means obvious, and at the start of the Principia. even Newton offers, as Biener and Smeenk have highlighted, a kind of geometric conception of quantity of matter in his first definition before suggesting that 'quantity of matter' is proportional to weight (and indicating his pendulum experiments as evidence thereof).

Let me wrap up. What's important here is that even if Newton had been wrong about the universal nature of the inverse square law, he showed that the mechanical philosophy cannot account for the experimentally demonstrated features of terrestrial (and planetary) gravity. (So, that the mechanical philosophy is not a natural way to understand Galilean fall.) And this means that in addition to Locke's conceptual claim, Newton shows that the mechanical philosophy's emphasis on just one kind of efficient causation, by way of contact, is not sufficient to explain the system of nature. 

What I say here is not surprising to students of Newton. But it's also not really much emphasized. To be sure, Newton, too, accepted a kind of homogeneous matter, but rather than its size and figure, he showed that an abstract quantity (mass) is more salient. Of course, how to understand mass in Newton's philosophy opens new questions, for as Ori Belkind has argued it should not be taken as a property of matter, but rather as a measure.

 

 

☐ ☆ ✇ Digressions&Impressions

The story starts with a stolen Maupertuis (III); in which some of the main characters reveal themselves

By: Eric Schliesser — March 2nd 2023 at 08:14

Last week (recall) I returned a stolen Maupertuis to The Institution of Civil Engineers (hereafter: ICE) Library in London. During my visit, while I was admiring a beautiful copy of the third Edition of Newton's Principia, the librarian, Debra Francis, called my attention to a four page manuscript wedged in the first few pages of this Principia. I very quickly decided that it was probably an eighteenth century manuscript because of the paper, ink, and notation/diagrams which looked familiar. (It's immediately made clear we're dealing with falling bodies.) So, while still in the library I sent pictures of it to Niccolo Guicciardini and then to Scott Mandelbrote, George Smith, and Chris Smeenk. Debra and I spent a few minutes on the manuscript which is in English. But most of our attention was devoted to figuring out the provenance of Principia at ICE. As we now know (recall yesterday's post) the ms was found in the Thomas Young's copy of the Principia.

At this point it would be useful to say why I jumped to the conclusion it was an eighteenth century manuscript and perhaps not insignificant, and why I sent the manuscript to these four scholars. [If you are impatient to find out the big reveal, jump to the paragraph below that starts with: "it turns out"....] For, while I have published quite a bit on Newton, I don't usually spend my time looking at manuscripts and thanks to the internet I barely spend any time in special collections anymore. However, between 1993 and 1996 or so my earliest academic experience involved spending multiple Summers in the Huygens archives in Leiden while George Smith and I were working on our project reconstructing Huygens' empirical argument against universal gravity. At the time I was lucky that Joella Yoder (the world's leading Huygens scholar) often overlapped with me in Leiden, while she was cataloging the Huygens' papers at the Leiden University library. She basically gave me on the job training in archival research. Along the way, and with help of many kind archivists and librarians, I was exceedingly lucky in discovering previously unknown material and rediscovering maps (see here, pp. 93-97 & here, pp. 51-55) important to our argument (the forthcoming paper is archived here).* But while this is rich experience, I wouldn't trust myself to know the difference between, say, a forgery or a real Huygens ms. However, I do know by acquaintance what paper and ink of the era looks like.

Second, I have read the Principia three times. Once as an undergrad in the second semester of George Smith's famous Newton course at Tufts University. Once, but in much less detail, with Howard Stein in graduate school in his course on the history of space-time theories. And then again in great detail with Chris Smeenk when we wrote a Handbook article on Newton's Principia. There are a whole range of diagrams and formulations that are distinctive to the Principia because while Newton was building on the work of others, he was also innovating mathematically in it (or drawing on then still secret innovations). But to simplify greatly, while Newton's methods, results, and theories shaped subsequent research, Newton's notations and his presentation of the material are rather distinctive (and were displaced within a century); it has its own vernacular. To give a very low-level example: in Newton the second law is a proportionality (and not an equality such as F=ma). And again, because I rarely work with the Principia (and, as historians of physics go, a below average mathematician), I wouldn't trust myself to identify a passage with any particular proposition of the Principia without double checking a few times.

Now, Niccolo Guicciardini (Milan) is a historian and philosopher and a specialist on Newton's mathematics (and physics!) and who also has deep knowledge of Newton's manuscripts. He is also very generous with his time, and he does not make one feel silly if one reveals one's ignorance. (He was an important interlocuter to me when I developed my interpretation of Newton's philosophy of time and then again, when I responded to Katherine Brading's excellent criticism [see also here] of it.)+ So, he was the first person I thought of. But, as I reflected on what I had seen, I figured it might be useful for somebody to be able to visit the ICE library to inspect the manuscript in person in London. So, that's why I thought of Scott Mandelbrote in Cambridge, who among his many other intellectual virtues, is one of the leading scholars of Newton's manuscripts, including the paper, watermarks, (etc.). And I sent it to Smith and Smeenk because I hoped they would get a kick out of it, and I figured they might recognize the material that's being discussed in the manuscript much more quickly than I would.

Much to my joy Niccolo almost immediately responded to my email. And rather than pointing out my obvious mistake -- 'why bother me with this juvenilia; clearly a school boy exercise; didn't you notice the 19th century notation?' -- he wrote me back to congratulate me on the manuscript which was previously unknown to him. He then went on to say, "I might have seen the hand before … intriguing indeed." And at that moment I knew the story of 'my' stolen Maupertuis would have an interesting afterlife. In a subsequent email he warned me that was not sure about identity of the author and also that it may take a while before he would get back to me due to a family holiday. Okay, so much for set up.

It turns out that Guicciardini and Mandelbrote almost immediately set to work to identify the author, and they are so confident of the author's identity that Niccolo has informed the ICE library of it on March 1. <Drumroll, please.> They think the hand is Henry Pemberton’s--the editor of the third edition! Now, there are not many known manuscripts by Pemberton. But, as I learned from Niccolo, he has a very distinctive way of writing "this." You can see this on p 2 of the manuscript that I have reprinted below and compare it to a letter by Pemberton to Newton (9 February 1725; Cambridge UL, MS Add. 3986.7, fol 1r-1v) that Niccolo shared with Debra Francis and myself.

So, let's connect some dots. The manuscript is in the hand of Henry Pemberton (1694 – 1771), who was the editor of the third edition of the Principia--that is the version of the copy that Tomas Young owned and that was donated to ICE library. So, this leaves some open questions:

  1. How did Thomas Young acquire this copy of the Principia and the Pemberton ms?

A neat, perhaps too neat, hypothesis is that ICE library actually owns Pemberton's own copy of the edition of Principia that he edited. And so that Pemberton himself inserted the manuscript in his copy of the Principia. This would at least explain how the manuscript ended up in the ICE library copy without having to posit a complex further web of linkages. However, we know that mathematical manuscripts circulated through the eighteenth century. (Well I did not know much about that, but Niccolo reminded me.) And it's also possible that the Pemberton manuscript and Thomas Young's copy of the Principia were brought together by Young himself.

        2. Did Young ever use the Ice Libary Pemberton ms.? 

        3. What are the contents of the ICE library Pemberton ms.? About this more soon.

        4. And can the contents help explain why Pemberton wrote this ms.? As we shall see, this will lead us to some outstanding historical puzzles and some major intellectual controversies. Stay tuned! 

 

P2oficelibraryms

Pemberton

Pemberton2

*Pro tip: befriend the retired archivist who happens to be in the library with you.

+Somewhat oddly, the Wikipedia page of Guiccardini does not mention the Sarton Medal he received in Ghent in 2011/12!

☐ ☆ ✇ Digressions&Impressions

The story starts with a stolen Maupertuis (II)

By: Eric Schliesser — March 1st 2023 at 16:57

Last week (recall) I returned a stolen Maupertuis to The Institution of Civil Engineers (hereafter: ICE) Library in London. During my visit, while I was admiring a beautiful copy of the third Edition of Newton's Principia, the librarian, Debra Francis, called my attention to a four page manuscript wedged in the first few pages. The manuscript was in English and seemed to be written by somebody familiar with the mathematics of the Principia. It looked 18th century to me. So, while still in the library I sent pictures of it to Niccolo Guicciardini and then, separately in a joint email, to Scott Mandelbrote, George Smith, and Chris Smeenk. 

As I noted, the copy of the Principia is part of the Telford collection that originates the library and was donated by a MR. Young in 1840 (as a plaque inside the book reveals). You may recall that in my original post, I remarked "I immediately tried to remember Thomas Young's dates." Of course, I quickly googled these (1773 – 1829), and left it aside. 

Most of my own original thoughts were about the author and contents of the manuscript, especially because I could tell Niccolo was excited to receive it. More about that soon.

After a visit to the vault (which did not contain the paperwork we were looking for), I left the library with a promise from Debra Francis to track down the provenance of 'Mr. Young's Principia.' Today she reported back to me. Well, hold on to your seats, because it's a banger:

Donations Young3

This is from the Minutes of Proceedings of the Institution of Civil Engineers, Volume 1, p. 11 (see here).

Thus, it seems pretty clear that this is referring to the Thomas Young, who indeed had a brother (and nephew) called Robert Young who seems to have survived him (and seems to have died around 1850). So, the plot thickens. And in my next installment we'll return to the manuscript, its author, its contents, and, of course, how it ended up in Thomas Young's personal copy of the Principia. For Niccolo had a hunch about that, that's turning out to be very fruitful...to be continued.

☐ ☆ ✇ Digressions&Impressions

The story starts with a stolen Maupertuis

By: Eric Schliesser — February 24th 2023 at 18:12

Actually, the story starts with me buying a copy of Maupertuis' (1738) La figure de la terre at auction online. I am a modest rare book collector; my principle of collecting is 'works that intersect with my scholarly research in neat ways' (all other things being equal, which is not always -- <think of prices> -- the case). So that means that unlike many collectors, I am not always after the first edition of a work and do not mind copies that show sign of some scholarly use (which also means I can afford them more easily). 

Now, my first scholarly projects starting with George Smith were on the Huygens-Newton debate over universal gravity and the shape of the Earth, and the measurements that settled it. Maupertuis' measurements in Lapland -- the title page of the 1738 work prefers 'polar circle' -- were part of the evidence that helped resolve the debate. While others (Maglo, Terrall, Shank, etc.) would publish with more detail on La Figure, I used this work by Maupertuis to make some modest, albeit distinctive claims about the philosophical particulars of Adam Smith's History of Astronomy. 

The pictures of the lot suggested a very clean copy, but one with a modern binding. Much to my surprise the bidding for it remained relatively calm even in the final minutes. And so for under 500€ (generally the most I am willing spend on a rare book) I was the proud owner of a work that is a joy to read, has an interesting story, and that shows up in non-trivial places in my own scholarship. I was elated! The seller sent it off with tracking, and the book arrived after a few days. I had last held a physical copy in my hand over twenty years ago in Chicago (presumably at the Newberry library, but I just noticed there is also a copy in Regenstein so maybe there).  

After opening the package, I opened the book and I had my first modest disappointment. The neat map I remembered at the front of the book was not there. My spirits started to deflate, but after looking through the book I found it at the back. (See here for a picture of the map at Gallica.) Interestingly enough, the copy of the English translation in the British Library, which seems to be one used by Google to scan it also has the map in front, whereas the French version has it in back (but the reproduction is badly done)! So, I wondered if I had misremembered and had only looked at the English translation. More on this below.

However, when I started to look through the book more slowly I had a true shock. There was an impressive library stamp on the page facing the frontispiece with "The Institution of Civil Engineers" and an address at "25 Great George Street, Westminster" in London. (See the picture below this post.) Now, I have bought books at auction before that had impressive library stamps in them. I always do due diligence before I bid and check out the provenance. Usually I find that the book had belonged to a seminary or school library that had closed or merged. Most sellers show a library stamp in the pictures that the seller usually supplies in auction. How could I have missed this?

I went online to check the lot I had bought and to my shock there was no picture of the stamp! I then went online to look for the Institution of Civil Engineers library, and found an impressive website, which suggested the library was flourishing although it had moved a few doors down. I checked the catalogue and it showed a copy of the book I was holding in my hand. At that moment, I realized I had almost certainly a stolen book in my hands (although part of me hoped they had sold off a duplicate).

I knew I had to move quickly, so I immediately wrote the auction house with my suspicion (so that they would keep my payment in escrow). (It was Friday afternoon after hours for the auction house so I knew I would not hear back before Monday at the earliest.) I then contacted the seller/dealer through the auction house message system in France; he responded quickly but in a dismissive fashion. (I return to that below.)

I decided to call the ICE library. The person who picked up the phone was a librarian, Debra Francis. I quickly explained the situation. It turns out the ICE library is supposed to have two French copies of La Figure (one part of a special collection). While we were talking she established one of these copies was missing. I was not surprised, I was holding it! At this point I knew the book had to be returned, but I was not wholly eager to take the loss. So, I gave her my yahoo email address, but little else info about me.

However, it was time to be more assertive with the seller. In our online interactions he revealed that he had bought the book a few months ago at another (reputable) auction house, and that these would have been cautious about provenance. (I was stunned how little he paid!) I decided to call the specialist listed on their website. I explained the situation to him, and after some back and forth he explained that the book was bought through an intermediary as part of a much larger estate of a deceased book-dealer. So, now I knew that my seller was not himself the thief or an accomplice in selling on stolen goods, and that the book was probably missing at least since 2020 or so. (My seller had merely looked the other way downstream.) The member of staff of this auction house told me they were insured against this kind of thing. So, I decided that my seller could probably get his money back there.

By monday, after some further communication between us, my seller agreed not to accept my money if I returned the book to the library in London. And much to my relief my auction house agreed to this approach provided I would supply them with pictures of the stamp and of the book, as well as a letter of the ICE library and me handing it back. I contacted my new librarian friend at ICE, Debra Francis, and she was eager to facilitate this.  

So, this morning I went to the lCE library right next to Parliament. I was stunned by how beautiful it was. And I was welcomed by Debra, who decided to give me a grand treat. First I was given a tour of the library and told its history. I was shown some of the special collections. And then we did the hand-over. But as we did the hand-over she showed me the copy of the 1738 La Figure from their special collection. It was much less pristine copy of the book than 'mine' that I was returning. But as we opened it, it did have the map on the facing page of the frontispiece just as I had remembered! 

Lafigure

For some reason this cheered me up greatly. In part, because it created a new puzzle why did some copies have the map in front and others in the back? (And more interestingly, which one was the original and which on the possible bootleg?) I have done a modest survey online today some seem to lack the map altogether, but other library copies do have the map and there is no clear pattern whether it's in front or in the back of the book.

Now, while Debra Francis was correcting some infelicities in the letter she had made out to my auction house, I had a chance to inspect the box with the original holdings of the library donated by (if I am not mistaken) Thomas Telford. Most of the books were clearly engineering specific. But my heart started to flutter when behind the glass I saw a copy of the Opticks. Judging by its tattered spine an original fourth edition. When my librarian friend returned we opened the case and it turned to be a fragile copy of the third edition.:)  [See picture below.] She had a quick peek in the catalog and informed me there should be more Newton holdings in the case. I scanned the list, and then looked more closely in the case, and immediately spotted a posthumous edition of Newton's work on fluxions. At this point, I had forgotten my misery over the Maupertuis and switched into scholar, teacher, and collector mode and started to pontificate on the significance of these holdings. Then I stopped mid-sentence, I had spotted the Principia!

When she took it out it was a pristine copy of the third edition donated by a Mr. Young in 1840. I immediately tried to remember Thomas Young's dates. I don't think I have ever held a third edition the Principia (the last one published during his life). Despite my excitement I was a bit sad there were no marginalia. However, as I was ruminating over this Debra Francis called me attention to a four page manuscript wedged in the front pages of the book. I have reproduced the first page below. (It's in English and fairly easy to follow.) I immediately took pictures of the whole manuscript and sent them to the great Niccolo Guicciardini to see if he could identify the author.

At this point my host invited me down to the basement where the members registry is held to see if we could identify which Young had donated the copy of the third edition of the Principia. (It turns out the relevant copy of the registry is in storage.)  As it happens the basement office is next to the vault, and I could not resist an offer of a tour of it (including learning the escape route on the other side of the vault). For, it turns out that the library has a special collection which houses just about every important book published in the 17th century on clocks and finding longitude.  So, for the next half hour I geeked out and excitedly explained the significance of each book I recognized to my patient host. And I was also struck by the presence of some works wholly obscure even to a specialist. By the time I left, I forgot to send the materials to the auction house because I was thinking of new research projects. 

 

Firstpage

  Principiathirdedition

Principiathirdedition

Opticks

Icestamp

 

 

☐ ☆ ✇ Ars Technica

Leonardo noted link between gravity and acceleration centuries before Einstein

By: Jennifer Ouellette — February 10th 2023 at 17:33
Caltech researchers re-created an experiment on gravity and acceleration that Leonardo da Vinci sketched out in his notebooks.

Caltech researchers re-created an experiment on gravity and acceleration that Leonardo da Vinci sketched out in his notebooks. (credit: Caltech)

Caltech engineer Mory Gharib was poring over the digitized notebooks of Leonardo da Vinci one day, looking for sketches of flow visualization to share with his graduate students for inspiration. That's when he noticed several small sketches of triangles, whose geometry seemed to be determined by grains of sand poured out from a jar. Further investigation revealed that Leonardo was attempting to study the nature of gravity, and the little triangles were his attempt to draw an equivalence between gravity and acceleration—well before Isaac Newton came up with his laws of motion, and centuries before Albert Einstein would demonstrate the equivalence principle with his general theory of relativity. [Edited for clarity.] Gharib was even able to re-create a modern version of the experiment.

Gharib and his collaborators described their discovery in a new paper published in the journal Leonardo, noting that, by modern calculations, Leonardo's model produced a value for the gravitational constant (G) to around 97 percent accuracy. What makes this finding even more astonishing is that Leonardo did all this without a means of accurate timekeeping and without the benefit of calculus, which Newton invented in order to develop his laws of motion and universal gravitation in the 1660s.

"We don't know if [Leonardo] did further experiments or probed this question more deeply," Gharib said. "But the fact that he was grappling with the problems in this way—in the early 1500s—demonstrates just how far ahead his thinking was."

Read 15 remaining paragraphs | Comments

☐ ☆ ✇ Digressions&Impressions

The Epistemology of Discursive Authority (ah yes, foucault, Quine, and postmodernism)

By: Eric Schliesser — February 2nd 2023 at 10:41

What, in short, we wish to do is to dispense with 'things'. To 'depresentify' them. To conjure up their rich, heavy, immediate plenitude, which we usually regard as the primitive law of a discourse that has become divorced from it through error, oblivion, illusion, ignorance, or the inertia of beliefs and traditions, or even the perhaps unconscious desire not to see and not to speak. To substitute for the enigmatic treasure of 'things' anterior to discourse, the regular formation of objects that emerge only in discourse. To define these objects without reference to the ground, the foundation of things, but by relating them to the body of rules that enable them to form as objects of a discourse and thus constitute the conditions of their historical appearance. To write a history of discursive objects that does not plunge them into the common depth of a primal soil, but deploys the nexus of regularities that govern their dispersion.--Michel Foucault (1969) "The Formation of Objects" chapter 3 in The Archaeology of Knowledge, translated by A.M. Sheridan Smith [1972], pp. 52-3 in the 2002 edition.

More than thirty years ago there was a buzz around Foucault and 'social constructivism' on campus. I don’t think I was especially aware of what this was about, but along the way I took a course in the ‘experimental college’ (a relic from the campus turmoil of an earlier generation) where I was introduced to the idea by way of the classic, The Social Construction of Reality: A Treatise in the Sociology of Knowledge by Peter L. Berger and Thomas Luckmann, then twenty five years old. (It was published in 1966.)

I never got around to reading Foucault as an undergraduate, but I was in graduate school studying with Martha Nussbaum when her (1999) polemic against Butler appeared. (I assume the essay was triggered by the second edition of Gender Trouble, but I am not confident about it.) This essay has a passage that nicely sumps up the general attitude toward Foucault that I was exposed to:

“These developments owe much to the recent prominence of French postmodernist thought. Many young feminists, whatever their concrete affiliations with this or that French thinker, have been influenced by the extremely French idea that the intellectual does politics by speaking seditiously, and that this is a significant type of political action. Many have also derived from the writings of Michel Foucault (rightly or wrongly) the fatalistic idea that we are prisoners of an all-enveloping structure of power, and that real-life reform movements usually end up serving power in new and insidious ways.”--Nussbaum "The Professor of Parody"

I was not nudged into reading Butler’s Gender Trouble during my graduate research (eventually when I became an instructor my own broad eduction started). However, I was confronted with the recent prominence of French postmodernist thought in works that now would be classified as foundational to STS, but that I was reading in virtue of my interest in the history of science such as Pickering’s The Mangle of Practice, which could generate heated debate among the PhD students. What made those debates frustrating was that we lacked distinctions so we often would talk passed each other.

A good part of those debates died down and were, subsequently domesticated after the publication of Hacking’s (1999) The Social Construction of What?, which we read immediately after it appeared. Hacking didn’t settle any debates for us, but allowed us to do more sober philosophy with it and while I do not want to credit him solely without mention of Haslanger, his book certainly contributed to the normalization and disciplining of the debate. Hacking and Haslanger also visited shortly thereafter, and so could ask for clarifications. Interestingly enough, in that book Hacking treats Foucault as a constructivist in ethical theory akin to Rawls, although he notes that others (Haslanger) treat Foucault as an ancestor to the idea that reality is constructed 'all the way down.'

As regular readers know my own current interest in Foucault is orthogonal to questions of construction. But I was struck by the fact that in his Foucault: His Thought, His Character, Paul Veyne treats Foucault fundamentally (not wholly without reason) as a Humean nominalist (and a certain kind of Nietzschean skeptic). And, in fact, the nominalism is itself exhibited by a certain kind of positivism about facts. (Deleuze might add quickly: a positivism about statements.) Veyne is not a reliable guide to matters philosophical, but I wondered if Foucault’s purported social constructivism was all based on a game of telephone gone awry in translation and academic celebrity culture.*

Now, if we look at the passage quoted at the top of the post, we can certainly why Foucault was treated as a social constructivist. The first few sentences  in the quoted paragraph do look like a form of linguistic idealism. And this sense remains even if one has a dim awareness that the passage seems primarily directed against a kind phenomenology [“presentify” is clearly an allusion to Husserls [Vergegenwartigung]], even (perhaps) trolling Heidegger (“primal soil”).

However, the point of the passage is not ontology. It’s method. (No surprise because that is sort of the general aim of the Archeology of Knowledge.) And this, is in fact instructive of Foucault’s larger project. In the passage, Foucault is, in fact, explaining that he will try to leave aside questions of ontology in his own project. This is not to deny he is interested in what we might call epistemology. But the epistemology he is exploring is what one might call discursive authority. And the effect of such authority is “the regular formation of objects that emerge only in discourse.” (emphasis added).

In fact, Foucault here is not far removed from Quine (but in a way to be made precise). In one of the most Whitehead-ian passages of Two Dogmas, Quine writes: “The physical conceptual scheme simplifies our account of experience because of the way myriad scattered sense events come to be associated with single so-called objects; still there is no likelihood that each sentence about physical objects can actually be translated, however deviously and complexly, into the phenomenalistic language. Physical objects are postulated entities which round out, and simplify our account of the flux of experience.”

Now, don’t be distracted by Quine’s ‘sense events’ or empiricism. For, what Foucault is interested in is the manner by which (to quote Quine again) ‘myriad scattered sense events come to be associated with single so-called objects.’ In particular, (and now I am back to Foucault) “the body of rules that enable them to form as objects of a discourse.” This body of rules is characteristic of an authoritative discipline. And in particular, Foucault is interested in what the social effects are of simplifications produced by postulated entities in the human sciences on these sciences and larger society. I don’t mean to suggest this is Foucault’s only game. He is also interested in the social structures that stabilize the possibility of semantics across disciplines in a particular age.

To be sure, in Quine the epistemology of discursive authority is only treated cursory (in the context of regimentation). Whereas Foucault is focused on how the sciences acquire and constitute (even replicate) such authority. But that is compatible with all kinds of ontologies in Quine’s sense or, to be heretical for a second, a metaphysically robust realism; notice Foucault’s own hint of a ‘rich, heavy, immediate plenitude.' One will not get more than hints from Foucault on what his answers might be to the kind of epistemological or metaphysical questions we are trained to ask. That, of course, is a feature not a bug of his project.

 

 

 

*As an aside, we can see the shifting perspectives on Foucault's role in social constructivism in Philosophy Compass review articles. Back in 2007 Ron Mallon treats Foucault as a kind of fellow-traveller of social constructivism:

Thinking of constructionism in this general way allows us to recognize the affinity of explicitly “constructionist” accounts with a wide range of work in the social sciences and humanities that abjures the label “social construction” – for example Foucault’s talk of “discursive formations,” Ian Hacking’s discussions of “historical ontology,”Arnold Davidson’s work on “historical epistemology,” and a host of titles that discuss “inventing,” “creating,” or “making up” various phenomena." [Mallon then cites Archeology of knowledge.]

By contrast, Ásta, writing in 2015, treats Foucault (quite rightly) as a source for Hacking's account of the The looping effect which "is the phenomenon where X is being described or conceptualized as F makes it F." And then notes that "scholars disagree over whether Foucault himself allows for a role for epistemic reasons or whether the development of institutions and cultural practices is determined by power relations alone3 should not commit us to the view that the only force of human culture is power. " Here in a note Ásta cites not Foucault, but Habermas' famous criticism in ‘ Taking Aim at the Heart of the Present’. Cf. Nussbaum's hedged on this very point in the passage quoted above.

☐ ☆ ✇ Salon.com

This medieval English king died from eating too much of this horrific, parasitic fish

By: Matthew Rozsa — January 28th 2023 at 19:00
Known for his ruthlessness, King Henry I's fatal weak spot proved to be his diet

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