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Emilie du Châtelet and Experimental Philosophy II

A second guest post by Hanna Szabelska.

Hanna Szabelska writes …

As I indicated in my previous post, the fatal destiny (fatalité), about which Voltaire complained in a letter to Jean-Jacques d’Ortous de Mairan [1], made Madame du Châtelet’s mind more and more prone to the allure of Leibniz’s metaphysics, in particular his concept of vis viva.

For example, the comparison of fire to living force notwithstanding, the first edition of her essay on heat shows the traces of the influence of de Mairan’s Dissertation sur l’estimation et la mesure des forces motrices des corps. One possible reason for this inconsistency being that de Mairan distanced himself from metaphysics and concentrated on pure laws of motion [2][3]. In the version submitted for the Academy’s prize competition, du Châtelet added a note criticising Leibniz and praising de Mairan as an advocate of the Cartesian measure of force (mv). Afterwards the Marquise desperately fought for permission to remove it before publication. She argued that this insipid compliment (fadeur) had resulted from her ignorance and was not related to the main theme. But she was unsuccessful [4].

The Leibnizian measure – mv² – was incorporated only in the second version together with a remarkable passage that unravels a complex interplay between the experimental and the speculative approach in du Châtelet. Having discussed the hypothesis that the Sun is a solid body containing fire and emanating it to the Earth, she concludes:

But this emanation of light is subject to far greater difficulties, and seems impossible to be assumed despite the modern observations that apparently speak in its favour: certain observations are enough to destroy a superstition when they seem contrary to it, but they are not enough to establish it and physical and metaphysical difficulties undermining the [hypothesis of] emanation of light seem so insuperable that without them being removed there are no observations that can induce one to assume it. But this is not the place to discuss them. [5]

The moral of this digression is that observational data are not enough to establish a hypothesis if there are strong metaphysical objections against it. This is the assumption, although not always articulated, that remains at the core of du Châtelet’s rhetorical vein in the heat of debates, e.g. her discussion with de Mairan about one of Jacob Hermann’s experiments and the measure of force. Remarkably, the exchange with de Mairan was published not only together with the Institutions physiques (1742), the second edition of du Châtelet’s manual of physics, but also with the revised version of her essay on fire.

The experiment in question is as follows [6]:

Let the ball A move with the velocity 2 on a horizontal plane and collide with another ball B=3A, being at rest. The ball A will give the velocity 1 to the ball B and move backwards with the velocity 1.  Afterwards, let the ball A with the velocity 1 collide with another body at rest C=A. The ball A will also give to the ball C the velocity 1 and as a result of the second collision, it will come to halt. All this can be easily derived from the very well known rules of the motion of elastic bodies. [7]

To disprove du Châtelet, de Mairan adds scalar magnitudes (m|v|), and then he goes on to directed ones, i.e. applies the measure he accepted. [8]

His calculation could be interpreted as a correct addition of momenta [9], but du Châtelet does not consider it either as an alternative of force measure or a different concept. Here comes into play her rhetorical impetus:

To tell the truth, it is remarkable with what ease this small bar you put in front of the formula for the force of the body A rid you of this 8 of force that even your own calculation gave you after collision instead of 4 that you had expected from it; but, tell me, I beg you, you certainly do not think that this sign minus and this subtraction would take away some part of force from the bodies A and B, and that the effects exercised by these bodies on any obstacles would be diminished by it. I also doubt that you would like to either experience it or find yourself in the path of a body that would bounce back affected by this minus sign with 500 or 1000 of force. [10]

One may think that du Châtelet did not understand the concept of directed magnitudes but was this really the case? After all, she was a very attentive reader of Willem Jacob ‘s Gravesande, who analyses the paradoxical cases of bodies moving in the opposite directions and compares the effectiveness of Leibnizian force measure with the Cartesian one.

This is the description of ‘s Gravesande’s experiment, somewhat simplified by du Châtelet: [11]

‘s Gravesande devised an experiment that wonderfully confirms this theory. He fastened a ball of clay in Mariotte’s Machine and he made it collide successively with a copper ball, whose mass was three and velocity one, and with another ball of the same metal, whose velocity was three and mass one, and it happened that the impression made by ball one, whose velocity was three, was always much greater than that made by ball three with the velocity of 1, which testifies to the inequality of the forces. But when these two balls with the same velocities as before collided at the same time with the clay ball freely suspended from a thread, the clay ball was not shaken and the two copper balls stayed at rest and equally sunk in the clay and after measurement these equal impressions were found to be much greater than the impression that ball three with the velocity of one had made, having hit only the fastened clay ball and less than that which had been made by ball 1 with the velocity three. For ball 3 consumed its force to make an impression on clay, and its impression having been augmented by the effort of ball one that pressed the clay ball against ball three, reduced the impression of this ball one. Therefore, soft bodies that collide with velocities in inverse proportion to their masses, stay at rest after the collision, because they consume all their forces to mutually impress their parts. For it is not simple rest that holds these parts together, but a real force, and in order to flatten a body and drive into its parts, this force, named coherence or cohesion, must be overcome, and nothing but the force used to drive into these parts is consumed in the collision. [12]

For both ‘s Gravesande and du Châtelet force is a positive magnitude [13]. Besides, she obviously agrees with ‘s Gravesande that opposite forces do not destroy each other in a direct manner but their interaction is much more complicated: in the collision of two bodies whose forces are opposite there are two actions and two reactions. [14]

But there is one crucial difference between them: ‘s Gravesande, a Newtonian converted to the Leibnizian force measure by his experiments, was particularly sensitive to difficulties involved in theorizing observational data. For him, the concept of force is vague and leaves room for alternative measurements:

If the word ‘force’ is given a different meaning, if this different meaning is said to be more natural, I do not object: all I wanted to claim is that this what I have called ‘force’ must be measured by the product of mass and velocity squared. In order to claim that it is possible to assume a different measure of force as considered under a different aspect it is necessary to explain all the experiments conducted with respect to force and collision. This is what we do on our part; and I assure you that this has not been done yet by those who have adopted the contrary opinion. [15]

Not so Madame du Châtelet. The Marquise’s irony towards de Mairan, sardonic despite her capacity to grasp counterarguments, tempts one to suppose that it is one of the aforementioned difficultés métaphysiques that underlies it. Should the Cartesian force be posited as a metaphysical principle of the Universe, the Universe could potentially be left with a metaphysically embarrassing zero value (like in the case of two moving bodies whose momenta are equal but opposite: p and –p). In this respect, velocity squared in the vis viva formula guarantees its superiority.

What follows from this is that the relationship between the speculative and the experimental in du Châtelet’s arguments is far from being straightforward. On the one hand, rigorous conceptualization of experiments like that of Boerhaave can serve to build up metaphysical principles, e.g. weightless fire as one of the springs of the Creator. On the other, there is sometimes hidden metaphysical bias in interpreting experiments as the example of Hermann’s balls proves. This complex mix is certainly incommensurable with mathematized classical mechanics as taught today. The question that imposes itself here is: are we really able to pin down the slippery Proteus of experimentalism with a Leibnizian tinge?


  1. MLXXXIV – A M. de Mairan, à Bruxelles, le 1er avril 1741, in Oeuvres complètes de Voltaire, ed. Ch. Lahure, vol. 25 [Paris: Librairie de L. Hachette, 1861], p. 522.
  2. de Mairan, Dissertation sur l’estimation et la mesure des forces motrices des corps, Nouvelle édition, ed. Deidier [Paris, 1741], pp. 7-8.
  3. Mary Terrall, “Vis viva Revisited,” History of Science 42 (2004): 189-209.
  4. cf. Letter 148. To Pierre Louis Moreau de Maupertuis, Les lettres de la Marquise du Châtelet, ed. Theodore Besterman [Genève: Institut et Musée Voltaire, 1958], vol. 1, pp. 266-267; the errata allowed by the Academy contains nothing but a stylistic improvement; note a factual mistake in Du Châtelet, Selected Philosophical and Scientific Writings, ed. Judith P. Zinsser [Chicago: University of Chicago Press, 2009], p. 77, note 54  and p. 110, note 10: “In the errata that she was allowed to submit, she changed a reference to Dortous de Mairan’s formula for force to that of Bernoulli. She had been reading Bernoulli and Leibniz on the nature of collisions and had changed her mind.”
  5. Dissertation, p. 128.
  6. du Châtelet describes it on page 459 ff. of the Institutions physiques.
  7. Jakob Hermann, “De mensura virium corporum,” Commentarii Academiae Scientiarum Imperialis Petropolitanae 1 (1726, published 1728): 14.
  8. de Mairan, “Lettre sur la question des forces vives,” in du Châtelet, Institutions Physiques, p. 487 ff.
  9. cf. Leibniz’s “Essay de Dynamique sur les loix du mouvement,” unpublished at the time, in Leibnizens Mathematische Schriften, ed. Carl Immanuel Gerhardt, Bd. 6 [Halle: H. W. Schmidt, 1860], p. 215.
  10. Institutions physiques, p. 529.
  11. cf. Boudri’s interesting interpretation. However, ‘s Gravesande mentions this experiment in Essai d’une nouvelle théorie du choc des corps and not in Nouvelles expériences, as Boudri claims. Christiaan Boudri, What Was Mechanical about Mechanics: The Concept of Force between Metaphysics and Mechanics from Newton to Lagrange, trans. Sen McGlinn [Dordrecht: Kluwer Academic Publishers, 2002], p. 108.
  12. Institutions physiques, pp. 466-467. For this passage, I consulted the translation by I. Bour and J. P. Zinsser; Du Châtelet, Selected Philosophical…, pp. 196-197. There are, however, small inaccuracies. E.g. “He took a firm ball of clay and, using Mariotte’s Machine…” See ‘s Gravesande’s description on p. 236: “…une pièce de bois bien affermie par des vis, dans laquelle il y avoit de chaque côté une cavité en demi-sphère, qui servoit à affermir une boule de terre glaise…” ‘s Gravesande, “Essai d’une nouvelle théorie du choc des corps,” in Oeuvres philosophiques et mathématiques, ed. J. N. S. Allamand [Amsterdam: Rey, 1774], Première Partie, pp. 235-236.
  13. cf. ‘s Gravesande, Essai d’une nouvelle théorie du choc, p. 219, definition II and du Châtelet’s malicious remark that de Mairan would not like to be hit by a body moving with a considerable force either from the left or from the right side.
  14. cf. the combination of the loss of velocity and indentation in  ‘s Gravesande’s experiment discussed above.
  15. “Nouvelles expériences,” in Oeuvres philosophiques et mathématiques, Première Partie, p. 284.


Emilie du Châtelet and experimental philosophy I

A guest post by Hanna Szabelska.

Hanna Szabelska writes …

Gabrielle Émilie le Tonnelier de Breteuil, la Marquise du Châtelet (1706–1749), ambitious femme savante and Voltaire’s muse had an unusual penchant for physics and mathematics, which pushed her towards conducting and discussing experiments.

By way of an example, to show that heat and light, as opposed to rarefaction – the distinctive property of fire – are nothing but its modes that do not necessarily accompany each other, she made use of the phenomenon of bioluminescence while imitating René-Antoine Ferchault de Réaumur’s experiment:

Dails [pholads] and glowworms are luminous without giving off any heat, and water does not extinguish their light. M. Réaumur even reports that water, far from extinguishing it, revives the light of dails [pholads]. I have verified this on glowworms, I have plunged some in very cold water, and their light was not affected. [1][2]

Since she held Newton’s experimental precision in the Opticks in high esteem, to the point that she acquired knowledge to do experiments about different degrees of heating among primitive colours on her own [3], du Châtelet had reservations about Charles du Fay’s attempt to reduce the seven primitive colours to three.[4]

The following passages are characteristic of her reliance on experiments. Letter 152. To Pierre Louis Moreau de Maupertuis [about the first of December 1738]

I know the Optics by Mr Newton nearly by heart and I must confess that I did not think it possible to call into question his experiments on refrangibility.


A tremendous series of experiments [une furieuse suite d’expériences] is necessary to undermine the truth that Mr Newton seems to have felt with all his senses. However, since I have not seen du Fay’s experiments I suspend my judgement… [5]


However, as much as she was fascinated by the potential of experimental philosophy, du Châtelet had an acute awareness of her own limitations and those of available apparatus. For example, she ventures the generalization that the tactile sensations of various colours differed analogically from the visual ones but admits her inability to conduct a decisive experiment and confides this task to the judges of her essay on fire [6].

Moreover, one can detect irony in her remarks about a defective camera obscura designed for optical experiments. In a letter to Algarotti she complains that:

The abbé Nollet has sent me my camera obscura, more obscure than ever; he claims that you have found it very clear in Paris: the sun of Cirey must be, therefore, unfavourable to it. [7]

Imperfect instruments could distort the results of experiments but so could an experimenter’s understanding of them if, like Locke or Leibniz, one takes the camera obscura as a metaphor of both visual perception and ideas based on it. Such epistemological doubts were also preying on du Châtelet’s mind, giving her natural philosophy a metaphysical depth. Thus, having enumerated some great names of experimental philosophy, she comes to the conclusion that:

It seems that a truth that so many competent natural philosophers have not been able to discover is not to be known by humanity. With regard to first principles, only conjectures and probabilities are within our reach. [8]

Interestingly, for Voltaire, this amalgam of the experimental and the speculative, imbued with the venustas muliebris of style, as Cicero would put it, was just the Marquise’s way of life, expression of her complex personality, philosophical to the backbone, but not easy to deal with.

The Marquise’s experimental inclination, under the spell of Leibnizian speculative philosophy, gave rise to sophisticated arguments, that often elude the language of modern physics. The devil is, as usual, in the details so let’s analyse some of them.

One of the most instructive stories is du Châtelet’s disagreement with Voltaire on the nature of fire, in particular on the question of its weight. While assisting with his experiments (cf. Peter Anstey’s post), she came to different conclusions and started working on her own essay in secret.

Voltaire evidently tried hard to interpret his results through the lens of a Newtonian experimentalist: to show that fire has weight and is subject to the force of gravity. Therefore, he downplays Herman Boerhaave’s reservations concerning the acquisition of weight by heated bodies [9] and opts for Peter van Musschenbroek‘s interpretation [10][11].

I visited an iron forge to do an experiment [exprès] and whilst I was there I had all the scales replaced. The [new] iron scales were fitted with iron chains instead of ropes. After that I had both the heated and the cooled metal within the range of one pound to two thousand pounds weighed. As I never found the smallest difference in their weights I reasoned as follows: the surface of these enormous masses of heated iron had been enlarged due to their dilation, therefore they must have had less specific gravity. So I can conclude – even from the fact that their weight stays the same irrespective of whether they are hot or cool – that fire had  penetrated the masses of iron adding precisely as much weight as dilation made them lose, and consequently, fire has real weight. [12]

To save his Newtonian face, Voltaire jumps to hypotheses in a rather non-Newtonian manner:

However, although no experiment to date seems to have shown beyond any doubt the gravity and impenetrability of fire, it is apparently impossible not to assume them. [13]

Despite his efforts, Voltaire’s conclusion remains caught in a limbo between mere hypothesis and a proposition deduced from phenomena and generalized by induction.

Of course, Newton would not have been himself had not his rejection of hypotheses been nuanced [14] but even so the leap in Voltaire’s reasoning seems a hidden thorn in his Newtonian flesh.

The conceptualization of Boerhaave’s experiment offered by du Châtelet is, on the contrary, more consistent with the data than that of her companion [15]. But on the other hand, it opens the way for establishing fire as one of the grand metaphysical principles of the Universe:

…but claiming that fire has weight is to destroy its nature, in a word, to take away its most essential property, that by which it is one of the mainsprings of the Creator. [16]


The action of fire, whether it is concealed from us or perceptible, can be compared to force vive [living force] and force morte [dead force]; but just as the force of bodies is perceptively stopped without being destroyed, so fire conserves in this state of apparent inaction the force by which it opposes the cohesion of the particles of bodies. And the perpetual combat of this effort of fire and of the resistance bodies offer to it, produces almost all the phenomena of nature. [17]

The passages above are to be found in both versions of du Châtelet’s essay on fire: the original  (1739, reprinted in 1752 by the Academy) and the revised one from 1744 (published by the Marquise’s own assumption by Prault, fils). However, it is worth noting that her conceptual framework became more consistently Leibnizian with time. It is this development that I will discuss in my next post.


  1. Trans. Isabelle Bour and Judith P. Zinsser; Du Châtelet, Selected Philosophical and Scientific Writings, ed. J. P. Zinsser, Chicago: University of Chicago Press, 2009, p. 64.
  2. Dail is an obsolete French term for pholade, pholas dactylus. (Du Châtelet, Dissertation sur la nature et la propagation du feu, Paris: Chez Prault, Fils,1744, p. 4.)
  3. Dissertation, p. 69.
  4. du Fay, Observations physiques sur le meslange de quelques couleurs dans la teinture, Histoire de l’Académie royale des sciences … avec les mémoires de mathématique & de physique,” 1737, p. 267.
  5. Les lettres de la Marquise du Châtelet, ed. Theodore Besterman [Genève: Institut et Musée Voltaire, 1958], vol. 1, pp. 273–274.
  6. Dissertation, pp. 70–71.
  7. Letter 63. To Francesco Algarotti, in Cirey, the 20th [of April 1736], Les lettres de la Marquise du Châtelet, vol. 1, p. 112.
  8. Trans. I. Bour and J. P. Zinsser; Du Châtelet, Selected Philosophical…, p. 71.; Dissertation, p. 17.
  9. Hermannus Boerhaave, “De artis theoria,” in: Elementa chemiae, Tomus primus, editio altera [Parisiis: Apud Guillelmum Cavelier, 1733], p. 193 ff.
  10. Petrus van Musschenbroek, Elementa physicæ conscripta in usus academicos, editio prima Veneta [Venetiis: Apud Joannem Baptistam Recurti, 1745], p. 323 ff.
  11. cf. Bernard Joly, “Voltaire chimiste: l’influence des théories de Boerhaave sur sa doctrine du feu,” Revue du Nord 77, No 312 (1995): 817–843.
  12. Voltaire, “Essai sur la nature du feu et sur sa propagation,” in Recueil des pièces qui ont remporté le prix de l’Académie royale des Sciences en 1738, par M. Rouillé de Meslay [Paris: de l’Imprimerie Royale, 1739], p. 176.
  13. Voltaire, “Essai sur la nature du feu,” Recueil, p. 180.
  14. cf. e.g. William L. Harper, Isaac Newton’s Scientific Method: Turning Data into Evidence about Gravity and Cosmology (Oxford: Oxford University Press, 2011), p. 44.
  15. Dissertation, p. 24, 33 ff.
  16. Trans. I. Bour and J. P. Zinsser; Du Châtelet, Selected Philosophical…, p. 80; Dissertation, p. 40.
  17. Trans. I. Bour and J. P. Zinsser; Du Châtelet, Selected Philosophical…, pp. 84–85; Dissertation, p. 52.


The ambiguous status of Maupertuis

Peter Anstey writes…

Pierre-Louis Moreau de Maupertuis (1698–1759) was one of the leading and most celebrated French natural philosophers of the eighteenth century. A competent mathematician who studied with Johann I Bernoulli, a foreign member of the Royal Society, a member of the Parisian Académie royale des Sciences and, from 1746, the perpetual President of the Berlin Académie des sciences et belles lettres, Maupertuis was one of the premier savants of his age. But, was Maupertuis an experimental philosopher?

There is no doubt that his greatest achievement was the Lapland expedition to determine the length of a degree of longitude near the North Pole and to settle once and for all the debate over the shape of the Earth. Maupertuis’ observations, in spite of challenges from the astronomer Cassini, proved decisive and the Newtonian theory that the Earth is an oblate spheroid, bulging at the Equator, was finally accepted. The expedition involved all the elements of experimental natural philosophy: instruments, teamwork, careful observations, measurement, analysis, experimental reports, etc.

The expedition took place from May 1736 to August 1737, just at the time when experimental philosophy was being enthusiastically embraced in France through the influence of Nollet, Voltaire and others. On the expedition Maupertuis was accompanied by the young Pierre Charles Le Monnier, who five years later dedicated his translation of Roger Cotes’ lectures on experimental philosophy to him. It is entitled Leçons de physique expérimentale (Paris, 1742) and in the dedicatory epistle Le Monnier says of Maupertuis, ‘no one can ignore how many discoveries you have enriched natural philosophy with’.

It is tempting, therefore, to regard Maupertuis as having vindicated Newtonian experimental philosophy over and above the speculative Cartesians and to see him as a beacon for the new methodology that gives priority to experiment and observation over premature theorizing. Who would better qualify to be a leading experimental philosopher in France? However tempting this may be, we should resist it, for, as J. B. Shank intimates (The Newton Wars, Chicago, p. 429), Maupertuis seems never to have expressed any enthusiasm about experimental philosophy. Moreover, from the 1740s his intellectual trajectory seems to take him in the opposite direction.

No doubt one of the motivations for Frederick the Great to invite Maupertuis to Berlin to head up the revivified Academy there in 1746 was to secure the services of a leading and mathematically competent experimental philosopher whose Lapland expedition was now a cause célèbre throughout Europe. The new structure of the Académie, as we have noted before on this blog, consisted of four classes: Experimental Philosophy, Speculative Philosophy, Mathematics and Belles-lettres. Each member of the Academy, apart from the President, belonged to one of these classes, and the bulk of the work of the Academy was published in one of the four sections of the Memoirs that matched the classes.

Surprisingly, a careful survey of Maupertuis’ contributions to the main publication of the Berlin Academy, the Histoire de l’académie royale des sciences et belles lettres reveals that, in spite of his scientific achievements, Maupertuis didn’t publish a single article in the Experimental Philosophy memoirs. Nor did he publish anything in the Mathematics section. His account of his famous Principle of Least Action, entitled ‘The laws of motion and of rest deduced from a metaphysical principle’, appears in the 1748 memoirs for speculative philosophy. Likewise, his ‘The different ways by which men have expressed their ideas’ and his ‘Philosophical examination of the proof of the existence of God’ also appeared in the Speculative Philosophy section in 1756 and 1758 respectively. His ‘On the manner of writing and reading the lives of great men’ appeared in Belles-lettres in 1757. Moreover, there appears to be no evidence that he ever performed an experiment after arriving in Berlin in 1746.

An adequate explanation of this ambiguous status of Maupertuis vis-à-vis experimental philosophy is likely to be complicated. It would have to reach back to some of his earliest papers in natural philosophy, such as ‘On the laws of attraction’ published in 1735, for this includes a metaphysical section on God and the inverse square law (Histoire de l’académie royale des sciences, 1735, pp. 343–62). It would also have to explore the influence of Leibniz and Wolff on both Maupertuis and others in the Berlin Academy, such as its secretary Samuel Formey. For example, the influence of Leibniz and Wolff may account for the absence of any tension between experimental and speculative philosophy in the Berlin Academy. Clearly the case of Maupertuis requires further reflection. We are very keen to hear from anyone who has thoughts on these matters.


Leibniz’s early reflections on natural history and experiment

Peter Anstey writes…

G. W. Leibniz visited England in late October 1676. While there he renewed his acquaintance with Henry Oldenburg, Secretary of the Royal Society, and showed him his calculating device. After a week’s visit he boarded a ship bound for the Continent on 29 October, but for various reasons the ship was delayed and he used his time while moored in the Thames to write a dialogue about the nature of motion.

This dialogue, recently translated in full for the first time, has a very interesting preamble about natural philosophical methodology. This preamble may well have been stimulated by his recent visit to London, for it mentions some of the leading ideas of the new experimental philosophy that was practised there and promoted by many Fellows of the Royal Society of which Leibniz was a foreign member.

The dialogue is between Pacidius, aka Leibniz, Gallantius, Theophilus and Charinus. Pacidius opens with a comment about the danger of looking for causes when one does natural history. (I am quoting from the translation of Richard Arthur, G.W. Leibniz: The Labyrinth of the Continuum: Writings on the Continuum Problem, 1672–1686, New Haven: Yale University Press, 2002.) We take it up from Gallantius’ reply:

GALLANTIUS: I have certainly often wished that observations of nature, especially histories of diseases, could be presented to us unadorned and free from opinions, as are those of Hippocrates, and not accommodated to the opinions of Aristotle or Galen or somebody more recent. For we will only be able to revive philosophy when we have solid foundations for it. (p. 133)

Gallantius focuses on natural histories of disease, but his point applies more generally to the project of Baconian natural history (described here) which, as Oldenburg repeatedly claimed, was to provide solid foundations for natural philosophy. Theophilus replies:

THEOPHILUS: I do not doubt that the royal road is through experiments, but unless it is levelled out by reasoning we will make slow progress, and will still be stuck at the beginning after many generations. (p. 133)

Theophilus here raises the issue of the relation between the gleanings from observation and experiments, which is the focus of natural history, and the need to theorise in order to get an understanding of nature. The comment about being ‘stuck at the beginning after many generations’ is prescient because, as we have pointed out before on this blog, one of the reasons that the Baconian program of natural history faltered in the late seventeenth century was because it had delivered so little in the way of stimulus to new natural philosophy. Robert Hooke was sensitive to this very point in his ‘Discourse of Earthquakes’:

tho’ the things so collected [by our natural historians] may of themselves seem but like a rude heap of unpolish’d and unshap’d Materials, yet for the most part they are so qualified as that they may be fit for the beginning, at least of a solid, firm and lasting Structure of Philosophy. (Posthumous Works, London, 1705, p. 329)

Theophilus continues:

… I am amazed at how many excellent observations we have …, at how many elegant experiments the chemists have performed, at what an abundance of things the botanists or anatomists have provided, which philosophers have not made use of, nor deduced from them whatever can be deduced.

PACIDIUS: But there does not yet exist a technique in natural philosophy for deducing whatever can be deduced from the data, as is done according to a definite order in Arithmetic and Geometry. … Once people have learnt to do this in natural philosophy … they will perhaps be surprised that many things were unknown to them for so long––which should not be put down to the laziness of the true method, which alone sheds light. (pp. 133/135)

Here Leibniz reveals that he was aware of the significant progress of the new experimental philosophy as applied in disciplines, such as chemistry, anatomy and botany, and at the same time the lack of progress in using this for developing a philosophy of nature. He puts it down to the lack of a method that is analogous to that in mathematics. The same lack of progress had been noticed by other critics of the new experimental philosophy, particularly the English wits, but rather than viewing this as a methodological deficiency they simply mocked the new natural philosophers in works such as Thomas Shadwell’s play The Virtuoso which appeared in 1676, the very same year as Leibniz’s visit.

Charinus, who speaks next in the dialogue, uses Pacidius’ observations as a segue into a discussion of the nature of motion, and so the methodological reflections tail off at this point. However, the little we do have gives us a fascinating window onto Leibniz’s views of the state and prospects of the new experimental philosophy with its emphasis on natural history in the mid-1670s.

Ancient Philosophy and the Origins of the Rationalism-Empiricism Distinction

Alberto Vanzo writes…

An interesting aspect of Kant’s use of the rationalism/empiricism distinction (RED) is that he does not only apply it to the moderns, but also to the ancients. Kant portrays Leibniz as an adherent to Plato’s rationalism and Locke as a follower of Aristotle’s empiricism. Could Leibniz’s New Essays be a source of Kant’s distinction between empiricism and rationalism?

Here is one of Leibniz’s comments on his disagreements with Locke in the Preface of the New Essays:

    Our differences are about subjects of some importance. There is the question about whether the soul in itself is completely empty like tablets upon which nothing has been written (tabula rasa), as Aristotle and the author of the Essay [Locke] maintain, and whether everything inscribed on it comes solely from the senses and from experience, or whether the soul contains from the beginning the source of several notions and doctrines, which external objects awaken only on certain occasions, as I believe with Plato and even with the Schoolmen […]

Here, Leibniz pits Plato and himself against Aristotle and Locke with regard to the existence of innate ideas (“several notions…”) and a priori truths (“… and doctrines”). These are precisely the issues around which Kant frames his distinction between empiricists and rationalists (or, as he sometimes calls them, dogmatists and noologists). However, Kant holds that a third issue divides ancient empiricists like Aristotle from ancient rationalists like Plato. It is the existence or inexistence of objects of which we cannot have sensations. According to Kant, ancient rationalists claim that there are non-sensible objects (Platonic ideas). Ancient empiricists, like Aristotle and Epicurus, deny this. Leibniz does not focus on this issue, but Christian Garve (who would later become one of Kant’s early critics) did. Like Kant, Garve divided ancient philosophers into two camps based on whether they admitted substantive a priori truths, innate ideas, and non-sensible objects. He drew this distinction in a dissertation that he published in 1770, eleven years before Kant’s first Critique and five years after Leibniz’s New Essays. Let me summarize Garve’s statements on each of the three points.

A priori knowledge

After they learned to distinguish between appearance and reality and between the senses and the intellect, philosophers took two opposed paths:

    Some [like Heraclitus] devoted themselves to exploring the nature of the senses with great care and they subtly searched in the senses the mark and sign of truth. Others [like Parmenides], having ignored and set aside the senses, devoted themselves entirely to the faculty of intellect and to contemplating with their mind the thoughts that they had gathered in themselves.

Non-sensible beings

This epistemological divide gave rise to an ontological divide:

    [T]hose that sought the foundation of the truth to be discovered in the senses were forced to refer [only] to the things that are subjected to the senses […]; and those claiming that true cognition is distinctive of the mind, not of the senses, denied the name and almost the rank of things […] to sensible items. They ascribed it only to [merely] intelligible things […]

On the one hand, we have Protagoras, Democritus, Epicurus, the Cyrenaics and even the sceptics. On the other hand, we have Plato.

Innate ideas

Those who denied “the truth of the senses” did not only have to posit a realm of non-sensible beings. They also had to defend the existence of innate ideas. This is because, if there is no truth in the senses, we cannot derive “true notions” from the senses (where true notions appears to be, in some sense, notions that map onto reality). We must claim that they are “innate in the soul and prior to every sensation”. “And thus were born Plato’s famous ideas, on which he says various, inconsistent things”, like those who are forced to embrace a conclusion, “although they do not understand well enough what it may be or how it could be true”.

Garve does not use the terms “empiricists” and “rationalists”, which would take on their now-common meanings only with Kant. However, the way in which Garve carves the two opposed camps of ancient philosophers maps neatly onto Kant’s distinction between ancient empiricists and rationalists. Garve also suggests that Locke and Berkeley followed Aristotle, whereas Leibniz followed Plato. This is because, in the antiquity, “nearly the whole territory of all opinions which may be held on this matter had been explored; all matter for supposition and invention had been used”.

Kant too thought that modern empiricists and rationalists followed the footsteps of their ancient predecessors. This brief survey of Leibniz’s and Garve’s statements suggests that their historiography of ancient philosophy may have been a source of Kant’s influential distinction between empiricism and rationalism.

Leibniz: An Experimental Philosopher?

Alberto Vanzo writes…

In an essay that he published anonymously, Newton used the distinction between experimental and speculative philosophy to attack Leibniz. Newton wrote: “The Philosophy which Mr. Newton in his Principles and Optiques has pursued is Experimental.” Newton went on claiming that Leibniz, instead, “is taken up with Hypotheses, and propounds them, not to be examined by experiments, but to be believed without Examination.”

Leibniz did not accept being classed as a speculative armchair philosopher. He retorted: “I am strongly in favour of the experimental philosophy, but M. Newton is departing very far from it”.

In this post, I will discuss what Leibniz’s professed sympathy for experimental philosophy amounts to. Was Newton right in depicting him as a foe of experimental philosophy?

To answer this question, let us consider four typical features of early modern experimental philosophers:

  1. self-descriptions: experimental philosophers typically called themselves such. At the very least, they professed their sympathy towards experimental philosophy.
  2. friends and foes: experimental philosophers saw themselves as part of a tradition whose “patriarch” was Bacon and whose sworn enemy was Cartesian natural philosophy.
  3. method:experimental philosophers put forward a two-stage model of natural philosophical inquiry: first, collect data by means of experiments and observations; second, build theories on the basis of them. In general, experimental philosophers emphasized the a posteriori origins of our knowledge of nature and they were wary of a priori reasonings.
  4. rhetoric: in the jargon of experimental philosophers, the terms “experiments” and “observations” are good, “hypotheses” and “speculations” are bad. They were often described as fictions, romances, or castles in the air.
  5. Did Leibniz have the four typical features of experimental philosophers?

    First, he declared his sympathy for experimental philosophy in passage quoted at the beginning of this post.

    Second, Leibniz had the same friends and foes of experimental philosophers. He praised Bacon for ably introducing “the art of experimenting”. Speaking of Robert Boyle’s air pump experiments, he called him “the highest of men”. He also criticized Descartes in the same terms as British philosophers:

      if Descartes had relied less on his imaginary hypotheses and had been more attached to experience, I believe that his physics would have been worth following […] (Letter to C. Philipp, 1679)

    Third, the natural-philosophical method of the mature Leibniz displays many affinities with the method of experimental philosophers. To know nature, a “catalogue of experiments is to be compiled” [source]. We must write Baconian natural histories. Then we should “infer a maximum from experience before giving ourselves a freer way to hypotheses” (letter to P.A. Michelotti, 1715). This sounds like the two-stage method that experimental philosophers advocated: first, collect data; second, theorize on the basis of the data.

    Fourth, Leibniz embraces the rhetoric of experimental philosophers, but only in part. He places great importance on experiments and observations. However, he does not criticize hypotheses, speculations, or demonstrative reasonings from first principles as such. This is because demonstrative, a priori reasonings play an important role in Leibniz’s natural philosophy.

    Leibniz thinks that we can prove some general truths about the natural world a priori: for instance, the non-existence of atoms and the law of equality of cause and effect. More importantly, a priori reasonings are necessary to justify our inductive practices.

    When experimental natural philosophers make inductions, they presuppose the truth of certain principles, like the principle of the uniformity of nature: “if the cause is the same or similar in all cases, the effect will be the same or similar in all”. Why should we take this and similar principles to be true? Leibniz notes:

      [I]f these helping propositions, too, were derived from induction, they would need new helping propositions, and so on to infinity, and moral certainty would never be attained. [source]

    There is the danger of an infinite regress. Leibniz avoided it by claiming that the assumption of the uniformity of nature is warranted by a priori arguments. These prove that the world God created obeys to simple and uniform natural laws.

    In conclusion, Leibniz really was, as he wrote, “strongly in favour of the experimental philosophy”. However, he aimed to combine it with a set of a priori, speculative reasonings. These enable us to prove some truths on the constitution of the natural world and justify our inductive practices. Leibniz’s reflections are best seen not as examples of experimental or speculative natural philosophy, but as eclectic attempts to combine the best features of both approaches. In his own words, Leibniz intended “to unite in a happy wedding theoreticians and observers so as to improve on incomplete and particular elements of knowledge” (Grundriss eines Bedenckens […], 1669-1670).