Dugundji proved in 1940 that most parts of standard modal systems cannot be characterized by a single finite deterministic matrix. In the eighties, Ivlev proposed a semantics of four-valued non-deterministic matrices (which he called quasi-matrices), in order to characterize a hierarchy of weak modal logics without the necessitation rule. In a previous paper, we extended some systems of Ivlev’s hierarchy, also proposing weaker six-valued systems in which the (T) axiom was replaced by the deontic (D) axiom. In this paper, we (...) propose even weaker systems, by eliminating both axioms, which are characterized by eight-valued non-deterministic matrices. In addition, we prove completeness for those new systems. It is natural to ask if a characterization by finite ordinary (deterministic) logical matrices would be possible for all those Ivlev-like systems. We will show that finite deterministic matrices do not characterize any of them. (shrink)

Newton published his deduction of universal gravity in Principia (first ed., 1687). To establish the universality (the particle-to-particle nature) of gravity, Newton must establish the additivity of mass. I call ‘additivity’ the property a body's quantity of matter has just in case, if gravitational force is proportional to that quantity, the force can be taken to be the sum of forces proportional to each particle's quantity of matter. Newton's argument for additivity is obscure. I analyze and assess (...) manuscript versions of Newton's initial argument within his initial deduction, dating from early 1685. Newton's strategy depends on distinguishing two quantities of matter, which I call ‘active’ and ‘passive’, by how they are measured. These measurement procedures frame conditions on the additivity of each quantity so measured. While Newton has direct evidence for the additivity of passive quantity of matter, he does not for that of the active quantity. Instead, he tries to infer the latter from the former via conceptual analyses of the third law of motion grounded largely on analogies to magnetic attractions. The conditions needed to establish passive additivity frustrate Newton's attempted inference to active additivity. (shrink)

I argue that the key dynamical concepts and laws of Newton's Principia never gained a solid foothold in Germany before Kant in the 1750s. I explain this absence as due to Leibniz. Thus I make a case for a robust Leibnizian legacy for Enlightenment science, and I solve what Jonathan Israel called “a meaningful historical problem on its own,” viz. the slow and hesitant reception of Newton in pre-Kantian Germany.

Newton rested his theory of mechanics on distinct metaphysical and epistemological foundations. After Leibniz's death in 1716, the Principia ran into sharp philosophical opposition from Christian Wolff and his disciples, who sought to subvert Newton's foundations or replace them with Leibnizian ideas. In what follows, I chronicle some of the Wolffians' reactions to Newton's notion of absolute space, his dynamical laws of motion, and his general theory of gravitation. I also touch on arguments advanced by Newton's (...) Continental followers, such as Leonhard Euler, who made novel attempts to defend his mechanical foundations against the pro-Leibnizian attack. This examination grants us deeper insight into the fate of Newton's mechanics on the Continent during the early eighteenth century and, more specifically, sheds needed light on the conflicts and tensions that characterized the reception of Newton's philosophy of mechanics among the Leibnizians. (shrink)

This paper investigates the question of, and the degree to which, Newton’s theory of space constitutes a third-way between the traditional substantivalist and relationist ontologies, i.e., that Newton judged that space is neither a type of substance/entity nor purely a relation among such substances. A non-substantivalist reading of Newton has been famously defended by Howard Stein, among others; but, as will be demonstrated, these claims are problematic on various grounds, especially as regards Newton’s alleged rejection of (...) the traditional substance/accident dichotomy concerning space. Nevertheless, our analysis of the metaphysical foundations of Newton’s spatial theory will strive to uncover its unique and innovative characteristics, most notably, the distinctive role that Newton’s “immaterialist” spatial ontology plays in his dynamics. (shrink)

Berkeley, Newton, Explanation, and Causation -/- I argue in this paper that Berkeley’s conception of natural law explanations, which echoes Newton’s, fails to solve a fundamental problem, which I label “explanatory asymmetry"; that the model of explanation Berkeley uses fails to distinguish between explanations and justifications, particularly since Berkeley denies real (efficient causes) in non-minded nature. At the end I suggest Berkeley might endorse a notion of understanding, say in astronomy or mechanics, which could be distinguished from explanation.

This article investigates the relationship between Hume’s causal philosophy and Newton ’s philosophy of nature. I claim that Newton ’s experimentalist methodology in gravity research is an important background for understanding Hume’s conception of causality: Hume sees the relation of cause and effect as not being founded on a priori reasoning, similar to the way that Newton criticized non - empirical hypotheses about the properties of gravity. However, according to Hume’s criteria of causal inference, the law of (...) universal gravitation is not a complete causal law, since it does not include a reference either to contiguity or to temporal priority. It is still argued that because of the empirical success of Newton ’s theory—the law is a statement of an exceptionless repetition—Hume gives his support to it in interpreting gravity force instrumentally as if it bore a causal relation to motion. (shrink)

Early modern foundations for mechanics came in two kinds, nomic and material. I examine here the dynamical laws and pictures of matter given respectively by Newton, Leibniz, and Kant. I argue that they fall short of their foundational task, viz. to represent enough kinematic behavior; or at least to explain it. In effect, for the true foundations of classical mechanics we must look beyond Newton, Leibniz, and Kant.

In this article, I channel the autobiography of Black Panther cofounder Huey P. Newton, entitled Revolutionary Suicide, against the misogyny of the alt-right movement today. Both Newton and the alt-right have been powerfully influenced by Nietzsche, but one way of grasping the central difference between them is by comparing their conceptions of Dionysus. While the alt-right sticks closer to Nietzsche’s conception, which minimizes the god’s androgyny, Newton’s thought resonates with that androgyny, thereby bringing him closer to the (...) most influential Dionysus scholar since Nietzsche, Walter Otto. I therefore turn to the latter’s Dionysus: Myth and Cult, whose analyses I synthesize into the following image inspired by the god’s closest animal familiar: the dancingly-graceful panther as aqueous-androgynous soul-hunter. Reimagining Newton’s Black Panther in this way, finally, can help us overcome the alt-right. (shrink)

Goethe's objections to Newton's theory of light and colours are better than often acknowledged. You can accept the most important elements of these objections without disagreeing with Newton about light and colours. As I will argue, Goethe exposed a crucial weakness of Newton's methodological self-assessment. Newton believed that with the help of his prism experiments, he could prove that sunlight was composed of variously coloured rays of light. Goethe showed that this step from observation to theory (...) is more problematic than Newton wanted to admit. By insisting that the step to theory is not forced upon us by the phenomena, Goethe revealed our own free, creative contribution to theory construction. And Goethe's insight is surprisingly significant, because he correctly claimed that all of the results of Newton's prism experiments fit a theoretical alternative equally well. If this is correct, then by suggesting an alternative to a well-established physical theory, Goethe developed the problem of underdete... (shrink)

A significant thread in Boris Hessen‟s iconic essay, The Social and Economic Roots of Newton’s Principia (1931), is his critique of Newton‟s involving God in his physics. Contra Newton, Hessen believes that nature does not need God in order to function properly. Hessen gives two, quite distinct, „internal‟ explanations of Newton‟s failure to see this. The first explanation is that Newton‟s failure is caused by his believing that motion is a mode instead of an attribute (...) or essence of matter. The second explanation is that Newton‟s failure is owed to his considering mechanical motion as the sole form of the motion of matter: Newton, in Hessen‟s view, did not realize that matter has many forms of motion which constantly transform into one another while conserving energy. In the present paper, I defend the thesis that none of these explanations can account for Newton‟s failure. Hessen‟s first explanation is problematic because even if Newton believed that motion is an attribute or essence of matter, he would still be obliged to involve God in physics. His second explanation fails too because he does not show exactly how the multiplicity and inter-transformation of forms of motion can account for nature‟s organizational structure. (shrink)

I examine Du Châtelet’s methodology for physics and metaphysics through the lens of her engagement with Newton’s Rules for Reasoning in Natural Philosophy. I first show that her early manuscript writings discuss and endorse these Rules. Then, I argue that her famous published account of hypotheses continues to invoke close analogues of Rules 3 and 4, despite various developments in her position. Once relevant experimental evidence and some basic constraints are met, it is legitimate to inductively generalize from observations; (...) general hypotheses can thereafter be assumed as true until contrary experiments show otherwise. I conclude by arguing that this account of induction plays an essential role in her metaphysics, both in an argument for simple substances—which has an inductive premise—and in her attempt to distinguish acceptable and unacceptable metaphysical commitments. (shrink)

One of the most disputed controversy over the priority of scientific discoveries is that of the law of universal gravitation, between Isaac Newton and Robert Hooke. Hooke accused Newton of plagiarism, of taking over his ideas expressed in previous works. In this paper I try to show, on the basis of previous analysis, that both scientists were wrong: Robert Hooke because his theory was basically only ideas that would never have materialized without Isaac Newton's mathematical support; and (...) the latter was wrong by not recognizing Hooke's ideas in drawing up the theory of gravity. Moreover, after Hooke's death and taking over the Royal Society presidency, Newton removed from the institution any trace of the former president Robert Hooke. For this, I detail the accusations and arguments of each of the parts, and how this dispute was perceived by the contemporaries of the two scientists. I finish the paper with the conclusions drawn from the contents. -/- Keywords: Isaac Newton, Robert Hooke, law of gravity, priority, plagiarism -/- CONTENTS -/- Abstract Introduction Robert Hooke's contribution to the law of universal gravitation Isaac Newton's contribution to the law of universal gravitation Robert Hooke's claim of his priority on the law of universal gravitation Newton's defense The controversy in the opinion of other contemporary scientists What the supporters of Isaac Newton say What the supporters of Robert Hooke say Conclusions Bibliography -/- DOI: 10.13140/RG.2.2.19370.26567 . (shrink)

In this paper, I discuss how Newton’s inductive argument of the Principia can be defended against criticisms levelled against it by Duhem, Popper and myself. I argue that Duhem’s and Popper’s criticisms can be countered, but mine cannot. It requires that we reconsider, not just Newton’s inductive argument in the Principia, but also the nature of science more generally. The methods of science, whether conceived along inductivist or hypothetico-deductivist lines, make implicit metaphysical presuppositions which rigour requires we make (...) explicit within science so that they can be critically assessed, alternatives being developed and assessed, in the hope that they can be improved. Despite claiming to derive his law of gravitation by induction from phenomena without resource to hypotheses, Newton does nevertheless acknowledge in the Principia that his rules of reasoning make metaphysical presuppositions. To this extent, Newton has a more enlightened view of scientific method than most 20th and 21st century scientists and historians and philosophers of science. (shrink)

In a 2004 paper, “Hume’s Missing Shade of Blue Reconsidered from a Newtonian Perspective,” Eric Schliesser argues that Hume’s well-known discussion of the missing shade of blue “reveals considerable ignorance of Newton’s achievement in optics,” and that Hume has failed to assimilate the lessons taught by Newton’s optical experiments. I argue in this paper, contrary to Schliesser, that Hume’s views on color are logically and evidentially independent of Newton’s results. In developing my reading, I will argue that (...) Schliesser accepts an overly broad interpretation of the implications of Newton’s experimental results, and takes inadequate account of Hume’s disciplined methodological restrictions on the kinds of experiential evidence that are to be admitted in building the foundations of his science of human nature. (shrink)

Newton had a fivefold argument that true motion must be motion in absolute space, not relative to matter. Like Newton, Kant holds that bodies have true motions. Unlike him, though, Kant takes all motion to be relative to matter, not to space itself. Thus, he must respond to Newton’s argument above. I reconstruct here Kant’s answer in detail. I prove that Kant addresses just one part of Newton’s case, namely, his “argument from the effects” of rotation. (...) And, to show that rotation is relative to matter, Kant changes the meaning of ‘relative motion.’ However, that change puts Kant’s doctrine in deep tension with Newton’s science. Based on my construal, I correct earlier readings of Kant by John Earman and Martin Carrier. And, I argue that we need to revise Michael Friedman’s influential view of Kant. Kant’s struggle, I conclude, illustrate the difficulties that early modern relationists faced as they turned down Newtonian absolute space ; and it typifies their selective engagement with Newton’s case for it. (shrink)

In the seventeenth century, Newton used bis famous prism to found the physics of spectral light, thus revolutionising our thinking about colours; more than a hundred years later, Goethe protested against Newton's theory and discovered a number of new prismatic colour phenomena. Did these episodes in the history of science have any influence on the visual arts? For a decade now my visits to art museums have had an agenda: I have been looking for nineteenth-century paintings with certain (...) spectral colour (which will be described in the first half of this paper). While my search has been unsuccessful in traditional Western art, I found what I was looking for in Japa­nese art: in woodblock prints by Hokusai and Hiroshige. This is surprising; little Western science had reached Japan in their time. The second half of the paper pre­sents this riddle, which I am nowhere near solving. Even without a solution, however, a riddle can be instructive. In this case, it may help to bring into focus the fascinating exchange between two distant cultures. Much has been written on the cultural relativ­ity of colour perception, colour systematisation and colour aesthetics; I want to intro­duce a new and so far unknown case that might contribute to this debate - though the debate itself remains beyond the scope of this paper. (shrink)

Practic, Newton vrea pur și simplu să reafirme adevărul omniprezenței lui Dumnezeu, fără să-l implice direct în fizica sistemului mondial. Newton dorește pur și simplu să se distanțeze de un concept cartezian al lui Dumnezeu și să-i convingă pe atei că Dumnezeu este o prezență reală extinsă în lume. Dumnezeu trebuie să existe în spațiu, pentru a exista, dar Dumnezeu nu acționează numai prin contact. Newton a presupus întotdeauna că Dumnezeu a acționat prin cauze secundare. DOI: 10.13140/RG.2.2.22468.78720.

Il tema della complessità della scienza è stato da qualche decennio oggetto di una vasta letteratura sia sul versante più strettamente scientifico, sia sul piano filosofico. Un argomento emerso con notevole interesse ha riguardato un aspetto della complessità inteso come rinuncia a una generalizzazione dei procedimenti assiomatico-deduttivi come metodo generale della ricerca scientifica. È stata espressa la convinzione che la fisica pre-relativistica sia stata fondata prevalentemente sul trionfo di questo metodo, sulla scia, fra l’altro, della gloriosa tradizione dei Principia newtoniani. (...) Pur riconoscendo la sua imponenza storica e concettuale, che ha condotto spesso a una sua identificazione con la stessa tradizione della scienza occidentale, la mia ricerca storica ha evidenziato una posizione antagonista presente nelle idee di Newton, e ripresa da due grandi fisici ottocenteschi, Ampere e Maxwell, posizione consistente in un ricorso alla cosiddetta deduzione dai fenomeni, un metodo di ricerca che rappresenta un’importante alternativa rispetto al metodo assiomatico-deduttivo. Nei primi decenni del nuovo secolo, si impongono poi progressivamente le idee di Einstein, che sul problema del metodo presentano un’irrisolta problematica. La celebrazione del metodo assiomatico-deduttivo si contrappone ad una lode dell’osservazione dei fenomeni e della riflessione sugli esperimenti, una variazione sul tema della deduzione dai fenomeni. Seppure i contributi del grande scienziato alle teorie derivate dagli assiomi del campo generalizzato non portarono a teorie conclusive, le sue idee in merito contribuirono enormemente alla moderna riflessione storico-epistemologica sulla scienza. (shrink)

Una din cele mai disputate controverse privind prioritatea unor descoperiri științifice este cea privind legea gravitației universale, între Isaac Newton și Robert Hooke. În acest eseu extind o lucrare mai veche pe aceeași temă, ”Isaac Newton vs. Robert Hooke în legea gravitației universale”. Hooke l-a acuzat pe Newton de plagiat, preluându-i ideile exprimate în lucrările anterioare. În această lucrare încerc să arăt, pe baza unor analize anterioare, că ambii oameni de știință au greșit: Robert Hooke pentru că (...) teoria sa nu era în fond decât idei care nu s-ar fi materializat niciodată fără suportul matematic al lui Isaac Newton; iar acesta din urmă a greșit nerecunoscând niciun merit al lui Hooke în elaborarea teoriei gravitației. Mai mult, după moartea lui Hooke și preluarea prezidenției Societății Regale, Newton a înlăturat orice urmă din instituție a fostului președinte, Robert Hooke. De asemenea, La negarea contribuției lui Hooke a contribuit și statutul său social ”inferior”, fiind poreclit de contemporani ”mecanicul”, spre deosebire de Sir Isaac Newton cel nobil. Pentru aceasta detaliez acuzațiile și argumentele fiecăreia dintre părți, și cum a fost percepută această dispută de către contemporanii celor doi. Finalizez lucrarea cu concluziile desprinse din cuprins. (shrink)

In this article, I deal with the role of hypothesis in the scientific methodology of Isaac Newton, Francis Bacon and René Descartes. The first paragraph is about hypothesis in Newton's lexicon, especially trying to understand the meaning of his famous hypotheses non fingo. The second paragraph deals with Bacon's methodology, arguing especially that his epis-temology was the first to propose an artificial way for inductive inferences, also giving up all hypothesis in science. The third paragraph shows how Descartes, (...) following Bacon's traces and reading his methodology in the light of the idea of a Mathesis Universalis based on mental evidence, structures a full hypothetical-deductive methodology, charging metaphysics with the analytical phase and depriving experiments of any role in it. The fourth paragraph, on Newton again, tries to understand Newton's specific account of hypothesis as an auxiliary phase in the scientific discovery, and what really differentiates Newton from his contemporaries, Boyle and Hooke. (shrink)

This thesis provides a new analysis of early contributions to the development of the theory of absolute time—the notion that time exists independently of the presence or actions of material bodies and has no material cause. Though popularly attributed to Newton, I argue that this conception of time first appeared in medieval philosophy, as a solution to a peculiar theological problem generated by a widespread misrepresentation of Aristotle. I trace the subsequent evolution of the theory of absolute time through (...) to the seventeenth-century, and argue that Newton, if anything, retreats from a full endorsement of the doctrine. (shrink)

Hampshire addresses the problem of pluralism, i.e. conflicts, characteristic of modern societies, which arise from the presence of conflicting moral interests and duties. The solution is a procedural notion of justice, seen as the precondition for respect for the different positive conceptions of the good. A salient feature of the book is the combination of a form of a 'weak' Aristotelianism, similar to that of Bernard Williams and far away from that of MacIntyre, with the theme of the relationship between (...) universalism and particularism. Another is the idea that deliberation is the primary procedure in ethics. This theme was the centre of American ethical and political thought since the confrontation between Rawls and his communitarian critics. (shrink)

The book covers scientific and philosophical topics by bringing them closer to literature. Some topics are scientific explanation, the concept of cause, rational argumentation, pseudoscience, language, ethics, philosophy of mind, posthumanism, and democracy. Summary Prefazione di Severino Saccardi. Introduzione. Capitolo 1: Le scrivanie di Eddington. 1.1. Il vecchio Qfwfq (I. Calvino. Le cosmicomiche). 1.2. L’assassino invisibile (L.F. Celine, Il dottor Semmelweis). 1.3. Gli gnommeri di Ingravallo (C.E. Gadda, Quer pasticciaccio brutto de via Merulana). 1.4. I sergenti di Napoleone (L. Tolstoj, (...) Guerra e pace). 1.5. Tex e il Coyote nero (G. Bonelli, Il Coyote nero). 1.6. “Elementare Watson!” (A.C. Doyle, Il segno dei quattro). Capitolo 2. Non saranno mai delusi. 2.1. L’albero di Natale. (V. Perrin, Cambiare l’acqua ai fiori). 2.2. Il dagherrotipo di Buendia. (G.G. Marquez, Cent’anni di solitudine). 2.3. Don Ferrante e la peste. (A. Manzoni, I promessi sposi). Capitolo 3. Capitolo puffo. 3.1. L’Accademia di Lagado. (J. Swift, I viaggi di Gulliver). 3.2. Bruto è uomo d’onore. (W. Shakespeare, Giulio Cesare). 3.3. Le oche mute. (G. Orwell, 1984). Capitolo 4. “Quarantadue!” 4.1. Lo zio N’Ba N’Ga. (I. Calvino, Le cosmicomiche). 4.2. La mosca cocchiera. (J. de La Fontaine, Favole). 4.3. Il fiore del dr. Dek. (E. Salgari, Le meraviglie del Duemila). Capitolo 5. L’ultimo uomo. 5.1. La pernice accusatrice. (Cyrano de Bergerac, Gli stati e gli imperi del Sole). 5.2. Pallino in via Mjasnickaja. (M.A. Bulgakov, Cuore di cane). Capitolo 6. Scenari perturbanti. 6.1. Dissipatio. (G. Morselli, Dissipatio H.G.). 6.2. Un mammifero meccanizzato. (S. Butler, Erewhon). 6.3. Mlle Olimpia. (E.T.A. Hoffmann, Racconti notturni). Capitolo 7. La gente perbene. 7.1. La balena bianca. (H. Melville, Moby Dick). 7.2. Betsabea Everdeene. (T. Hardy, Via dalla pazza folla). 7.3. Un’idea francese. (C. McCarthy, Cavalli selvaggi). 7.4. Le montagne del Montana. (D. Delillo, Rumore bianco). (shrink)

This paper deals with Gärdenfors’ theory of conceptual spaces. Let \({\mathcal {S}}\) be a conceptual space consisting of 2-type fuzzy sets equipped with several kinds of metrics. Let a finite set of prototypes \(\tilde{P}_1,\ldots,\tilde{P}_n\in \mathcal {S}\) be given. Our main result is the construction of a classification algorithm. That is, given an element \({\tilde{A}}\in \mathcal {S},\) our algorithm classifies it into the conceptual field determined by one of the given prototypes \(\tilde{P}_i.\) The construction of our algorithm uses some physical analogies (...) and the Newton potential plays a significant role here. Importantly, the resulting conceptual fields are not convex in the Euclidean sense, which we believe is a reasonable departure from the assumptions of Gardenfors’ original definition of the conceptual space. A partitioning algorithm of the space \(\mathcal {S}\) is also considered in the paper. In the application section, we test our classification algorithm on real data and obtain very satisfactory results. Moreover, the example we consider is another argument against requiring convexity of conceptual fields. (shrink)

Nel 'Godel's Way' tre eminenti scienziati discutono questioni come l'indecidibilità, l'incompletezza, la casualità, la computabilità e la paracoerenza. Affronto questi problemi dal punto di vista di Wittgensteinian che ci sono due questioni fondamentali che hanno soluzioni completamente diverse. Ci sono le questioni scientifiche o empiriche, che sono fatti sul mondo che devono essere studiati in modo osservante e filosofico su come il linguaggio può essere usato in modo intelligibilmente (che include alcune domande in matematica e logica), che devono essere decise (...) cercando un modo in cui usiamoeffettivamente le parole in particolari contesti. Quando arriviamo a sapere su quale gioco di lingua stiamo giocando, questi argomenti sono visti come domande scientifiche e matematiche ordinarie come tutti gli altri. Le intuizioni di Wittgenstein sono state raramente eguagliate e mai superate e sono pertinenti oggi come lo erano 80 anni fa, quando ha dettato i Libri Blu e Marrone. Nonostante le sue mancanze - in realtà una serie di note piuttosto che un libro finito - questa è una fonte unica del lavoro di questi tre famosi studiosi che hanno lavorato ai bordi sanguinanti della fisica, della matematica e della filosofia per oltre mezzo secolo. Da Costa e Doria sono citati da Wolpert (vedi sotto o i miei articoli su Wolpert e la mia recensione di 'I limiti esterni della ragione' di Yanofsky) dal momento che hanno scritto sul calcolo universale, e tra i suoi numerosi successi, Da Costa è un pioniere della paracoerenza. Coloro che desiderano un quadro aggiornato completo per il comportamento umano dalla moderna vista a due systems possono consultare il mio libro 'La struttura logica dellafilosofia, psicologia, Mind e il linguaggio in Ludwig Wittgenstein e John Searle' 2nd ed (2019). Coloro che sono interessati a più dei miei scritti possono vedere 'TalkingMonkeys--Filosofia, Psicologia, Scienza, Religione e Politica su un Pianeta Condannato--Articoli e Recensioni 2006-2019 3rd ed (2019) e Suicidal Utopian Delusions nel 21st Century 4th ed (2019) . (shrink)

The authors of this collection fail to make clear the distinction between naturalistic and purely logical/methodological approaches to the philosophy of science. I also criticise Thomas Nickles's attempt to devise an explanatory method for discovery in science using programs that produce trial and error explorations of a domain, which he thinks replaces the need for a conjecture a refutation approach (cf. Popper and Campbell). Such programs embody undeclared conjectures in the way they are set up.

In ‘Godel’s Way’ three eminent scientists discuss issues such as undecidability, incompleteness, randomness, computability and paraconsistency. I approach these issues from the Wittgensteinian viewpoint that there are two basic issues which have completely different solutions. There are the scientific or empirical issues, which are facts about the world that need to be investigated observationally and philosophical issues as to how language can be used intelligibly (which include certain questions in mathematics and logic), which need to be decided by looking at (...) how we actually use words in particular contexts. When we get clear about which language game we are playing, these topics are seen to be ordinary scientific and mathematical questions like any others. Wittgenstein’s insights have seldom been equaled and never surpassed and are as pertinent today as they were 80 years ago when he dictated the Blue and Brown Books. -/- Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 3rd ed (2019), The Logical Structure of Human Behavior (2019), and Suicidal Utopian Delusions in the 21st Century 4th ed (2019). (shrink)

I explain and assess here Huygens’ concept of relative motion. I show that it allows him to ground most of the Law of Inertia, and also to explain rotation. Thereby his concept obviates the need for Newton’s absolute space. Thus his account is a powerful foundation for mechanics, though not without some tension.

In this paper I sketch the evolution of the main theories of the relationship between time and motion from Descartes to Newton, by defending an hypothesis that traces back Newton’s realism about time to Barrow’s “metric realism”, which Newton developed as the claim that measuring a magnitude X implies that X exists independently of our measures.

Newton’s impact on Enlightenment natural philosophy has been studied at great length, in its experimental, methodological and ideological ramifications. One aspect that has received fairly little attention is the role Newtonian “analogies” played in the formulation of new conceptual schemes in physiology, medicine, and life science as a whole. So-called ‘medical Newtonians’ like Pitcairne and Keill have been studied; but they were engaged in a more literal project of directly transposing, or seeking to transpose, Newtonian laws into quantitative models (...) of the body. I am interested here in something different: neither the metaphysical reading of Newton, nor direct empirical transpositions, but rather, a more heuristic, empiricist construction of Newtonian analogies. Figures such as Haller, Barthez, and Blumenbach constructed analogies between the method of celestial mechanics and the method of physiology. In celestial mechanics, they held, an unknown entity such as gravity is posited and used to mathematically link sets of determinate physical phenomena (e.g., the phases of the moon and tides). This process allows one to remain agnostic about the ontological status of the unknown entity, as long as the two linked sets of phenomena are represented adequately. Haller et. al. held that the Newtonian physician and physiologist can similarly posit an unknown called ‘life’ and use it to link various other phenomena, from digestion to sensation and the functioning of the glands. These phenomena consequently appear as interconnected, goal-oriented processes which do not exist either in an inanimate mechanism or in a corpse. In keeping with the empiricist roots of the analogy, however, no ontological claims are made about the nature of this vital principle, and no attempts are made to directly causally connect such a principle and observable phenomena. The role of the “Newtonian analogy” thus brings together diverse schools of thought, and cuts across a surprising variety of programs, models and practices in natural philosophy. (shrink)

To provide metaphysical grounds for the physics of her time, Du Châtelet argued for the notion of an active force. This was different from the impressed force in Newton’s second law. The former force was a property of a body, whereas the latter was an external cause. I shall study this discrepancy and argue that the interactive concept of force in Newton’s third law is consistent with Du Châtelet’s standards for an intelligible physics. Consequently, the interaction entailed by (...) the law of universal gravitation complies with Du Châtelet’s principles of human knowledge. (shrink)

I explore Locke’s complex attitude toward the natural philosophy of his day by focusing on Locke’s own treatment of Newton’s theory of gravity and the presence of Lockean themes in defenses of Newtonian attraction/gravity by Maupertuis and other early Newtonians. In doing so, I highlight the inadequacy of an unqualified labeling of Locke as “mechanist” or “Newtonian.”.

Este artículo pretende establecer los límites y alcances de las principales interpretaciones de Newton en el siglo XX, resaltando, de un lado, la evidencia textual de la que disponían los intérpretes y, de otro, las corrientes filosóficas y epistemológicas que definen los rasgos principales de sus interpretaciones. Se verá que el rechazo al positivismo no es condición suficiente para establecer una interpretación adecuada y que, de la mano del fortalecimiento de la investigación a partir de los manuscritos de (...) class='Hi'>Newton, se hace necesario un modelo interpretativo más amplio, flexible y detallado que los establecidos por algunos de los más importantes estudiosos como Alexandre Koyré, I. Bernard Cohen, Betty Dobbs y Richard Westfall. (shrink)

INTRODUCTION I. CETERIS PARIBUS LAWS An alleged law of nature—like Newton's law of gravitation—is said to be a ceteris paribus law if it does not hold under ...

I argue for two main points in historiography of physics regarding the significance of Du Châtelet's Foundations of Physics in the development of mechanics. The first is that, despite Du Châtelet calling it a textbook in the Preface, it should not be understood as 'merely' a textbook. Instead, it fits in a tradition of women involved in natural philosophy in that era using liminal publication opportunities, and to reduce some of the resistance to their publication. Even these liminal opportunities were (...) rare and mostly available to women of very high social standing and wealth, who also happened to have supportive families or spouses, and were usually associated with some other well-known male thinker. The second point is that, even if we treat Foundations as a textbook, the way in which it synthesizes and refines work by Newton, Leibniz, Descartes, and others, meets the criteria given by Kuhn for the establishment of a first paradigm, which is not complete without such a definitive statement that enables the mop-up work characteristic of normal science. I conclude that by Kuhn's own criteria, he ought to have identified Du Châtelet as a key part of establishing the first paradigm in physics. She blazed a trail for others to follow. (shrink)

Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can (...) be also interpreted as purely mathematical or logical “force” or “interaction” as a corollary from its ontomathematical (rather than physical) realization. The ontomathematical approach to gravitation is implicit in general relativity equating it to operators in pseudo-Riemannian space obeying the Einstein field equation and also well-known by the “geometrization of physics”. Quantum mechanics shares the same by the separable complex Hilbert space and defining “physical quantity” by the Hermitian operators on it. One can interpret special Minkowski space involved by special relativity and the qubit Hilbert space of quantum information as Fourier counterparts immediately noticing that general relativity means gravitation as the Fourier counterpart of non-Hermitian operators implying non-unitarity and the violation of energy conservation and thus destroying Pauli’s particle paradigm. Since the Standard model obeys it, this explains the impossibility of “quantum gravitation” in any framework conservatively generalizing the Standard model so that it would include gravitation along with electromagnetic, weak, and strong interactions. Einstein’s geometrization of gravitation can be continued into a purely mathematical theory of it following Euclid’s realization for geometry to be exhaustively built in a deductive and axiomatic way as well as Riemann’s parametrization of all the class of Euclidean and non-Euclidean geometries by “space curvature”, then being generalized to Minkowski space as the operators on pseudo-Riemannian space as the Einstein field equation means gravitation. The transition from mathematical gravitation to logical one can rely on the historical lesson of the pair of Lobachevski’s and Riemann’s approaches now “reversely”, i.e., from the latter to the former. Logical gravitation is linkable to Hegel’s dialectical logic and ontological dialectics abandoning their interpretations as a new zero logic substituting classical propionyl logic. The approach of ontomathematics generalizing that of ontology, traceable even to Aristotle’s reformation of Plato’s doctrine, needs Hegel’s doctrine to be formalized as a first-order logic naturally containing Boolean algebra, isomorphic to both classical propositional logic and set theory being the class of all first-order logics, as a sub-logic along with Peano arithmetic as another sub-logic. The first-order logic at issue is called Hilbert arithmetic and elaborated in detail in other papers. It allows for both self-foundation of mathematics to be internally proved as complete and furthermore, quantum mechanics reinterpreted as quantum information to be included by the qubit Hilbert space interpretable in turn as a dual and physical counterpart of Hilbert arithmetic in a narrow sense, that is, both counterparts constitute Hilbert arithmetic in a wide sense, being mathematical and physical simultaneously and thus overcoming the Cartesian dualism of “body” gapped from “mind” by an abyss. Then, the proper philosophical interpretation of gravitation to be the fundamental ontomathematical force or interaction overcomes the ridiculous belief of the Big Bang wrongly alleged to be a scientific theory. Ontomathematical gravitation suggests an omnipresent and omnitemporal medium of “God’s” creation “ex nihilo” following only the natural necessity of quantum-information conservation particularly and locally manifested as energy conservation. (shrink)

Rarely does research in the history and philosophy of science lead to new empirical results, but that is exactly what has happened in one of the essays of this special issue: Rang and Grebe-Ellis have developed new experimental techniques to perform measurements Goethe proposed 217 years ago. These measurements fit neatly with Goethe’s idea of polarity—his complementary spectrum is not only an optical, but also a thermodynamical counterpart of Newton’s spectrum. I use the new measurements, firstly, to argue against (...) the asymmetries between light and darkness posited by Lyre and Schreiber; and, secondly, to explicate the alternative theory that Goethe had introduced to urge scientific pluralism. In my replies to exegetical criticism by Böhler, Hampe and Zemplén, I show that the main goal of Goethe’s Farbenlehre was indeed to expose symmetries between light and darkness. Furthermore, I argue that it is worthwhile to focus on the experiments, arguments and hypotheses of the Farbenlehre, and not merely on rhetorical, narrative or stylistical aspects, as Böhler and Hampe would have it. Goethe’s criticism of Newton is often dismissed, but it is in fact surprisingly relevant today. (shrink)

When it became uncool to speak of beauty with respect to pieces of art, physicists started claiming that their results are beautiful. They say, for example, that a theory's beauty speaks in favour of its truth, and that they strive to perform beautiful experiments. What does that mean? The notion cannot be defined. (It cannot be defined in the arts either). Therefore, I elucidate it with examples of optical experimentation. Desaguliers' white synthesis, for example, is more beautiful than Newton's, (...) and the many colourful syntheses done by Viennese painter Ingo Nussbaumer exemplify even greater beauty. Here are some criteria (which, of course, do not implement a decision procedure concerning beauty in experiments): cleanliness, simplicity, intellectual clarity, symmetry. Similar criteria are relevant to our aesthetical judgements about some pieces of music. So we can assume that our notion of beauty conserning art is related to the one conserning scientific experiments. (shrink)

Time is one of the most enigmatic notions philosophers have ever dealt with. Once subjected to close examination, almost any feature usually ascribed to time, leads to a plethora of fundamental and hard to resolve questions. Just as philosophers of the eighteenth-century attempted to take account of revolutionary developments in the physical sciences in understanding space, life, and a host of other fundamental aspects of nature (see Jones, Gaukroger, and Smith in this volume) they also engaged in fundamental and fruitful (...) controversies about the nature of time spurred by Newton and others (see Schliesser and Schabas in this volume). In this article, I will attempt to trace the general outlines of these controversies. Special attention will be given to a question that was central for many eighteenth century philosophers and is somewhat less prominent in contemporary, twenty-first century, debates on the nature of time, i.e., whether time can be reduced to, grounded by, or explained through other more basic elements. The concept of time is commonly discussed – both in eighteenth and twenty first century philosophy – in analogy to space. Here I will attempt to focus on time and address the analogies to space only when relevant. This attitude is motivated both by the need to provide as detailed an account as possible of time in the allocated textual space, and by the various dissimilarities between space and time. While space and time can be fruitfully compared and contrasted, the use of metaphors taken from one domain to clarify features belonging to the other domain has the real potential of leading us astray by unconsciously and seamlessly taking metaphorical language in a literal sense. In the first part of this essay, I will discuss the famous debate between Newton, Leibniz and Clarke on the nature of space and time. The second part will address Hume’s understanding of time and the relation between time and causation. In the third and final part, I will discuss Kant’s views on the relation between time and causality, place them in the context of his predecessors, and then examine Salomon Maimon’s attempt to revive the Leibnizian program of reducing time to concepts, within the framework of Kantian philosophy, broadly conceived. (shrink)

In this book I show that science suffers from a damaging but rarely noticed methodological disease, which I call rationalistic neurosis. It is not just the natural sciences which suffer from this condition. The contagion has spread to the social sciences, to philosophy, to the humanities more generally, and to education. The whole academic enterprise, indeed, suffers from versions of the disease. It has extraordinarily damaging long-term consequences. For it has the effect of preventing us from developing traditions and institutions (...) of learning rationally devoted to helping us learn how to make progress towards a wiser, more civilized world. On our fragile earth, overcrowded, fraught with injustice, inequality and conflict, menaced by unprecedented and terrifying technological and industrial means for change and destruction, we urgently need to acquire a little more wisdom and civilization if we are to avoid repeating horrors of the kind suffered by so many during the 20th century (and already suffered by many in the first few years of the 21st century). We can ill afford to have in our hands instruments of learning botched and bungled from the standpoint of helping us learn how to live more wisely. It may seem scarcely credible that something as important as our institutions of learning can suffer from wholesale, structural defects. Why has this not been noticed before? Why have not armies of scientists and scholars appreciated the point and, long ago, put the matter right? The answer will emerge as my argument unfolds. I will show that one of the most damaging features of rationalistic neurosis is that it has built-in methodological and institutional mechanisms which effectively conceal that anything is wrong. But there is also an immediately obvious reason: specialization, and the resulting fragmentation of academia, has resulted in a situation in which hardly anyone takes responsibility for the overall ideals, the overall aims and methods, of academic inquiry. Academics, these days, are specialists, furiously trying to keep abreast of developments in their own specialist fields. They have no time, and no inducement, to lift their eyes from their particular disciplines, and look at the whole endeavour. Science has long been under attack, at least since the Romantic movement. Blake objected to “Single vision & Newton’s sleep” and declared that “Art is the Tree of Life... Science is the Tree of Death”. Keats lamented that science will “clip an Angel’s wings” and “unweave a rainbow”. Whereas the Enlightenment had valued science and reason as tools for the liberation of humanity, Romanticism found science and reason oppressive and destructive, and instead valued art, imagination, inspiration, individual genius, emotional and motivational honesty rather than careful attention to objective fact. Much subsequent opposition to science stems from, or echoes, the Romantic opposition of Blake, Wordsworth, Keats and many others. There is the movement Isaiah Berlin has described as the “Counter-Enlightenment” (Berlin, 1979, ch. 1). There is existentialism, with its denunciation of the tyranny of reason, its passionate affirmation of the value and centrality of irrationality in human life, from Dostoevsky, Kierkegaard and Nietzsche to Heidegger and Sartre (see, for example, Barrett, 1962). There is the attack on Enlightenment ideals concerning science and reason undertaken by the Frankfurt school, by postmodernists and others, from Horkheimer and Adorno to Lyotard, Foucault, Habermas, Derrida, MacIntyre and Rorty (see Gascardi, 1999). The soul-destroying consequences of valuing science and reason too highly is a persistent theme in literature: it is to be found in the works of writers such as D.H. Lawrence, Doris Lessing, Max Frisch, Y. Zamyatin. There is persistent opposition to modern science and technology, and to scientific rationality, often associated with the Romantic wing of the green movement, and given expression in such popular books as Marcuse’s One Dimensional Man, Roszak’s Where the Wasteland Ends, Berman’s The Reenchantment of the World and Appleyard’s Understanding the Present. There is the feminist critique of science and conceptions of science: see, for example, Fox Keller (1984) and Harding (1986). And there are the corrosive implications of the so-called “strong programme” in the sociology of knowledge, and of the work of social constructivist historians of science, which depict scientific knowledge as a belief system alongside many other such conflicting systems, having no more right to claim to constitute knowledge of the truth than these rivals, the scientific view of the world being no more than an elaborate myth, a social construct (see Barnes and Bloor, 1981; Bloor, 1991; Barnes, Bloor and Henry, 1996; Shapin and Schaffer, 1985; Shapin, 1994; Pickering, 1984; Latour, 1987). This latter literature has provoked a counter-attack by scientists, historians and philosophers of science seeking to defend science and traditional conceptions of scientific rationality: see Gross and Levitt (1994), Gross, Levitt and Lewis (1996), and Koertge (1998). This debate between critics and defenders of science came abruptly to public attention with the publication of Alan Sokal’s brilliant hoax article ‘Transgressing the boundaries’ in a special issue of the cultural studies journal Social Text in 1996 entitled Science Wars: see Sokal and Bricmont (1998). What does this book have to contribute, given the above avalanche of criticism of science? The criticisms of science developed in this book are diametrically opposed to the above, in so far as the above criticisms oppose scientific rationality, seek to diminish or restrict its influence, or hold that it is unattainable. My central point is that we suffer, not from too much scientific rationality, but from not enough. What is generally taken to constitute scientific rationality is actually nothing of the kind. It is rationalistic neurosis, a characteristic, influential and damaging kind of irrationality masquerading as rationality. Science is damaged by being trapped within a widely upheld but severely defective philosophy of science; free science from this defective philosophy, provide it with a more intellectually rigorous philosophy, and it will flourish in both intellectual and humanitarian terms. And more generally, as we shall see, academic inquiry as a whole is damaged by being trapped within an intellectually defective philosophy of inquiry; free it from this defective philosophy, from its rationalistic neurosis, and it will flourish in intellectual and human terms. It is not reason that is damaging, but defective pretensions to reason — rationalistic neurosis —masquerading as reason. Thus what I seek to do here is the exact opposite of what all those who oppose science and scientific rationality do. I shall argue that Reason, the authentic article, arrived at by generalizing the progress-achieving methods of science, can have profoundly liberating and enriching consequences for all worthwhile, problematic aspects of life, and thus deserves to enter into every aspect of life. The bare bones of the argument of this book can be stated quite simply like this. Science cannot proceed without making the substantial metaphysical assumption that the universe is physically comprehensible (to some extent at least). But this conflicts with the orthodox view that in science everything is assessed impartially with respect to evidence, nothing being permanently assumed independently of evidence. So the metaphysical assumption of comprehensibility is repressed. Science pretends that no such assumption is made. But this damages science. For the assumption is substantial, influential and highly problematic. It needs to be made explicit within science so that it can be critically scrutinized, so that alternatives can be developed and considered. Pretending the assumption is not being made undermines the intellectual rigour of science, its intellectual value and success. And it does not stop there. For science also makes value assumptions. Quite properly, science is concerned to discover that which is of value. New factual knowledge devoid of all value (whether intellectual or practical) does not contribute to science. But the orthodox view of science holds that values have no place within science. As in the case of metaphysics, here too, science pretends that values have no role to play within the intellectual domain of science. And this damages science. For values are, if anything, even more influential and problematic than metaphysics (in influencing the direction of research). Here too, values need to be made explicit within science so that they can be scrutinized, so that alternatives can be developed and assessed. Pretending that values play no role within the intellectual domain damages science; both the intellectual and the practical aspects of science are adversely affected. Science fails to pursue those avenues of research that lie in the best interests of humanity. And it goes further. Science is pursued in a social, cultural, economic and political context. It is a part of various social, economic and political projects which seek to achieve diverse human objectives. But the idea that science is an integral part of humanitarian or political enterprises with political ends clashes, once again, with the official view of science that the aim of science is to improve factual knowledge. The political objectives of science are repressed. And, once again, this damages science. For, of course, the political objectives of science, like all our political objectives, are profoundly problematic. These need to be made explicit so that they can be scrutinized, so that alternatives can be developed and considered. The pretence that science does not have this political dimension once again undermines the intellectual rigour of science, and its human value. It lays science open to becoming a part of economic, corporate and political enterprises that are not in the best interests of humanity. The upshot of the line of argument just indicated is that we need to bring about a revolution in the aims and methods of science, and of academic inquiry more generally. Natural science needs to change; its relationship with the rest of academic inquiry, with social inquiry and the humanities, needs to change; and most importantly and dramatically, academic inquiry as a whole needs to change. The basic task of the academic enterprise needs to become to help humanity learn how to tackle its problems of living in more cooperatively rational ways than at present. We need to put the intellectual tasks of articulating our problems of living, and proposing and critically assessing possible solutions, possible and actual actions, at the heart of academic inquiry. The basic task needs to be to help humanity learn a bit more wisdom – wisdom being the capacity to realize what is of value in life, for oneself and others, wisdom including knowledge and technological know-how, but much else besides. Natural science, despite its flaws, has massively increased our knowledge and technological know-how. This in turn has led to a massive and sometimes terrifying increase in our power to act. Often this unprecedented power to act is used for human good, as in medicine or agriculture. But it is also used to cause harm, whether unintentionally (initially at least) as when industrialization and modern agriculture lead to global warming, destruction of natural habitats and rapid extinction of species, or intentionally, as when the technology of war is used by governments and terrorists to maim and kill. Before the advent of modern science, when we lacked the means to do too much damage to ourselves and the planet, lack of wisdom did not matter too much. Now, with our unprecedented powers to act, bequeathed to us by science, lack of wisdom has become a menace. This is the crisis behind all the other current global crises: science without wisdom. In these circumstances, to continue to pursue knowledge and technological know-how dissociated from a more fundamental quest for wisdom can only deepen the crisis. As a matter of urgency, we need to free science and academia of their neuroses; we need to bring about a revolution in the academic enterprise so that the basic aim becomes to promote wisdom by intellectual and educational means. At present science and the humanities betray both reason and humanity. The argument of this book, which I have just summarized, begins with a discussion of the philosophical and methodological problems that beset theoretical physics. At once, many of those who are concerned about moral, political and environmental issues that plague our world today, will feel impatient. What have the methodological problems of theoretical physics to do with third world poverty, war and the threat of war, pollution, extinction of species, the menace of conventional, chemical, biological and nuclear armaments? I can only plead with such a reader: patience. The root cause of the sickness of our times does indeed lie, I claim, with a methodological sickness of natural science or, even more specifically, of physical science. What makes the modern world so utterly different from all previous ages is our possession of modern science and technology. This is the instrument that has changed the conditions of human life almost beyond all recognition, and put unprecedented, and sometimes terrifying, powers into our hands. One should not dismiss out of hand the suggestion that a part of our problem may lie with this instrument, this engine, of rapid change. We see, here, too, the way in which intellectual specialization, referred to above, has effectively concealed from view the nature and extent of the problem that confronts us. The argument that I shall develop in what follows begins with physics, with problems concerning the aims and methods of physics. But it then leaps to social science, to philosophy, to the humanities, to education, to psychotherapy, and to politics: in the end there is scarcely an aspect of modern life that is not touched and, potentially, affected by the argument. How many academic experts are prepared to follow, to take seriously, an argument that ranges so recklessly across such a wide range of academic disciplines? How many non-academic non-experts? But just this is what the argument and message of this book requires. I hope that the reader will endure with patience the somewhat esoteric discussion concerning the aims and methods of physics pursued in chapter one. This may not seem to have anything much to do with the urgent problems of our times, but it does. This is in part how the intellectual disaster I seek to expose in this book conceals itself from view: it buries itself in the obscure, recondite field of the philosophy of physics. Those who devote their lives to the philosophy of physics are, by and large, too myopic to see how their specialized field of study has anything to do with the great and dreadful humanitarian problems and disasters of our age; and those who are above all concerned with these humanitarian disasters have no time at all for abstruse issues concerning the aims and methods of physics. And so the connection is never made. As it happens, the methodological neurosis of physics, with which we begin in chapter one, is actually a quite simple matter to grasp. It does not require any real knowledge of physics to understand. Indeed, physicists and philosophers of physics are much more likely to find the argument difficult to follow than are non-experts. We non-scientists can stand back and see the whole wood; scientists, trained to think in terms of the current orthodox conception of science, trapped in the thickets of research, will find this much harder to do. In an attempt to take this peculiar circumstance into account, I have arranged the exposition as follows. In chapter one I give a simple exposition of the case for declaring natural science to suffer from what I call "rationalistic neurosis"; this avoids all technicalities, and goes straight to the heart of the matter. In the appendix I tackle a host of more technical objections that may be made to the elementary argument of chapter one. So, those experts in the fields of the philosophy of physics and philosophy of science who find the argument of chapter one naïve and unconvincing, should consult the appendix before tossing the book away in disgust. I write in the hope that there will be a few who will not dismiss out of hand the suggestion that the question of how we are to go about learning how to live in wiser and more civilized ways might have something to learn from scientific learning, and will take the trouble to pursue the line of argument traced out in this book. I write in the hope that these few will grasp just how desperate our situation is, how urgent the need to change the status quo, and will do everything in their power to alert others to the need to heal the methodological sickness from which our institutions and traditions of learning at present suffer. To begin with, we need a campaigning organization, modelled perhaps on "Friends of the Earth", which might be called something like "Friends of Wisdom". (shrink)

Modern physics was born in the XVII century and soon became the scientific paradigm. The key to its success was the use tht Newton made of mathematics. I hold that Newton’s analysis of mechanics contains flwas which led to its crisis at the end of the XIX century and at the same time had resources to overcome this crisis. I study in this paper the epistemological reasons for these vicissitudes using Polo’s theory of knowledge.

This chapter challenges previous interpretations of the essay by analyzing the essential features of the method it describes. It argues that, even if Kant fails to present a perfectly clear and defensible account of a method for metaphysics, the manner in which he describes this method and the kind of transformation of metaphysical inquiry that he hopes it will accomplish do not testify to a broadly rationalist approach but, in fact, embody the anti-rationalist spirit of Bacon and Newton. While (...) Kant does indeed believe that metaphysics will one day be able to re-adopt the synthetic method, I argue that this is perfectly consistent with the views of Bacon and Newton as he understood them. In contrast with Friedman’s claim, I also show that experience does play a role in Kant’s conception of data and that this is particularly clear if we take into account other texts of the same period. (shrink)

In this paper I reconstruct the birth, blossoming and decline of an eighteenth century program, namely “Moral Newtonianism”. I reconstruct the interaction, or co-existence, of different levels: positive theories, methodology, worldviews and trace the presence of scattered items of the various levels in the work of Hume, Adam Smith, Adam Ferguson, Dugald Stewart. I highlight how Mirowski’s reconstruction of the interaction between physics and economics may be extended to the eighteenth century in an interesting way once the outdated reconstruction of (...) Adam Smith that has been adopted by Mirowski is updated. I show how general methodological ideas, such as the distinction between ultimate causes or essences and intermediate principles, that originated in a context where the issue was the interaction between natural science and theology, proved useful when transferred to social theory in encouraging a kind of “experimental” approach to social phenomena. I discuss finally the genesis of frozen metaphors such as equilibrium, circulation, and value, arguing that Canguilhem’s lesson – namely that scientific change is produced not only by similarity but also by opposition – may be applied also to the history of economic thought. I take as an example Adam Smith’s ‘discovery’ of social mechanisms vis-à-vis his sceptical mistrust of neo-Stoic and Platonic views of a world-order. (shrink)

On an influential view, Newton's mechanics is built into Kant's very theory of exact knowledge. However, Newtonian dynamics had serious explanatory limits already known by 1750. Thus, we might worry that Kant's Analytic is too narrow to ground enough exact knowledge. In this paper, I draw on Enlightenment dynamics to show that Kant's notion of determinate objecthood is sufficiently broad, non-trivial, and still relevant to the present.

I argue that Leibniz's treatment of void or empty space in the appendix to his fourth letter to Clarke conflicts with the way he elsewhere treats (metaphysical) evil, insofar as he allows that God has created a world with the one kind of privation (evil), while insisting that God would not have created a world with the other kind of privation (void). I consider three respects in which the moral case might be thought to differ relevantly from the physical one, (...) and argue that none of them succeed in removing the inconsistency. Rather than denying the existence of void, Leibniz should have been led by his treatment of evil to realize that the arguments he deploys in this appendix are dubious, and that the principles to which he appeals do not rule out empty space any more than they rule out evil, darkness, cold, or any other privations. (shrink)

For the last forty years, Hume's Newtonianism has been a debated topic in Hume scholarship. The crux of the matter can be formulated by the following question: Is Hume a Newtonian philosopher? Debates concerning this question have produced two lines of interpretation. I shall call them ‘traditional’ and ‘critical’ interpretations. The traditional interpretation asserts that there are many Newtonian elements in Hume, whereas the critical interpretation seriously questions this. In this article, I consider the main points made by both lines (...) of interpretations and offer further arguments that contribute to this debate. I shall first argue, in favor of the traditional interpretation, that Hume is sympathetic to many prominently Newtonian themes in natural philosophy such as experimentalism, criticality of hypotheses, inductive proof, and criticality of Leibnizian principles of sufficient reason and intelligibility. Second, I shall argue, in accordance with the critical interpretation, that in many cases Hume... (shrink)

It has been claimed that the only way to avoid action at a temporal distance in a temporal continuum is if effects occur simultaneously with their causes, and that in fact Newton’s second law of motion illustrates that they truly are simultaneous. Firstly, I point out that this interpretation of Newton’s second law is problematic because in classical mechanics ‘acceleration’ denotes a vector quantity. It is controversial whether vectors themselves are changes as opposed to properties of a change, (...) and therefore if they can count as effects. Secondly, I argue that the problem of action at a temporal distance is generated by the assumption that forces operate on their effects, but that this assumption is not easily reconciled with Newton’s third law of motion, which is best read as saying that forces operate between objects. On that reading, there is no problem of action at a temporal distance even in a temporal continuum just as long as interacting objects coexist. (shrink)

Pierre Louis Moreau de Maupertuis’ famous and influential Discours sur les différentes figures des astres, which represented the first public defense of attractionism in the Cartesian stronghold of the Paris Academy, sometimes suggests a metaphysically agnostic defense of gravity as simply a regularity. However, Maupertuis’ considered account in the essay, I argue, is much more subtle. I analyze Maupertuis’ position, showing how it is generated by an extended consideration of the possibility of attraction as an inherent property and fuelled by (...) an understanding of Lockean skepticism about knowledge of real essences that is more nuanced perhaps even than Locke’s own. (shrink)