Until recently, historians of mathematics usually agreed in refusing to consider the numerous geometrical publications of Thomas Hobbes as a contribution to the development of mathematics in the seventeenth century. From time to time, one could find statements that although Hobbes did not find new theorems he undoubtedly had profound insights into the logical foundations of mathematics, but these occasional remarks did not encourage historians to go deeper into Hobbes's mathematical thought. In the end, the general conclusion was that Hobbes's (...) preoccupation with squaring the circle, doubling the cube (starting when the philosopher was more than forty years of age), and challenging Euclid's definitions were better ignored, at least in the history of science. In particular, his controversy with the Savilian professors Seth Ward and John Wallis was seen as a ‘deplorable affair’, liable only to damage the reputation of the protagonists. (shrink)

Researchers misunderstand their role in creating ethical problems when they allow dogmas to purportedly divorce scientists and scientific practices from the values that they embody. Cortina, Edwards, and Powell help us clarify and further develop our position by responding to our critique of, and alternatives to, this misleading separation. In this rebuttal, we explore how the desire to achieve the separation of facts and values is unscientific on the very terms endorsed by its advocates—this separation is refuted by empirical observation. (...) We show that positivists like Cortina and Edwards offer no rigorous theoretical or empirical justifications to substantiate their claims, let alone critique ours. Following Powell, we point to how classical pragmatism understands ‘purpose’ in scientific pursuits while also providing an alternative to the dogmas of positivism and related philosophical positions. In place of dogmatic, unscientific cries about an abstract and therefore always-unobservable ‘reality,’ we invite all organizational scholars to join us in shifting the discussion about quantitative research towards empirically grounded scientific inquiry. This makes the ethics of actual people and their practices central to quantitative research, including the thoughts, discourses, and behaviors of researchers who are always in particular places doing particular things. We propose that quantitative researchers can thus start to think about their research practices as a kind of work, rather than having the status of a kind of dogma. We conclude with some implications that this has for future research and education, including the relevance of research and research methods. (shrink)

Quantitative researchers often discuss research ethics as if specific ethical problems can be reduced to abstract normative logics (e.g., virtue ethics, utilitarianism, deontology). Such approaches overlook how values are embedded in every aspect of quantitative methods, including ‘observations,’ ‘facts,’ and notions of ‘objectivity.’ We describe how quantitative research practices, concepts, discourses, and their objects/subjects of study have always been value-laden, from the invention of statistics and probability in the 1600s to their subsequent adoption as a logic made to appear as (...) if it exists prior to, and separate from, ethics and values. This logic, which was embraced in the Academy of Management from the 1960s, casts management researchers as ethical agents who ought to know about a reality conceptualized as naturally existing in the image of statistics and probability (replete with ‘constructs’), while overlooking that S&P logic and practices, which researchers made for themselves, have an appreciable role in making the world appear this way. We introduce a different way to conceptualize reality and ethics, wherein the process of scientific inquiry itself requires an examination of its own practices and commitments. Instead of resorting to decontextualized notions of ‘rigor’ and its ‘best practices,’ quantitative researchers can adopt more purposeful ways to reason about the ethics and relevance of their methods and their science. We end by considering implications for addressing ‘post truth’ and ‘alternative facts’ problems as collective concerns, wherein it is actually the pluralistic nature of description that makes defending a collectively valuable version of reality so important and urgent. (shrink)

A philosopher once wrote the following words:If I examine the PTOLOMAIC and COPERNICAN systems, I endeavour only, by my enquiries, to know the real situation of the planets; that is, in other words, I endeavour to give them, in my conception, the same relations, that they bear towards each other in the heavens. To this operation of the mind, therefore, there seems to be always a real, though often an unknown standard, in the nature of things; nor is truth or (...) falsehood variable by the various apprehensions of mankind. Though all human race should for ever conclude, that the sun moves, and the earth remains at rest, the sun stirs not an inch from his place for all these reasonings; and such conclusions are eternally false and erroneous. (shrink)

Newton’s earliest publications contained scandalous epistemological claims: not only did he aim for certainty; he also claimed success. Some commentators argue that Newton ultimately gave up claims of certainty in favor of a high degree of probability. I argue that no such shift occurred. I examine the evidence of a probabilistic shift: a passage from query 23/31 of the Opticks and rule 4 of the Principia. Neither passage supports a probabilistic approach to natural philosophy. The aim of certainty, then, was (...) an enduring feature of Newton’s methodology. (shrink)

The ArgumentThis paper focuses on several Italian Jewish philosophers in the second half of the sixteenth century and the first third of the seventeenth century. It argues that their writings share a certain theology of nature. Because of it, the interest of Jews in the study of nature was not a proto-scientific but a hermeneutical activity based on the essential correspondence between God, Torah, and Israel. While the theology of nature analyzed in the paper did not prevent Jews from being (...) informed about and selectively endorsing the first phase of the scientific revolution, it did render the Jews marginal to it. So long as Jewish thinkers adhered to this theology of nature, Jews could not adopt the scientific mentality that presupposed a qualitative distinction between the Book of Nature and the Book of Scripture. (shrink)

In this response, we clarify several misunderstandings of the understanding/acceptance principle and defend our specific operationalization of that principle. We reiterate the importance of addressing the problem of rational task construal and we elaborate the notion of computational limitations contained in our target article. Our concept of thinking dispositions as variable intentional-level styles of epistemic and behavioral regulation is explained, as is its relation to the rationality debate. Many of the suggestions of the commentators for elaborating two-process models are easily (...) integrated into our generic dual-process account. We further explicate how we view the relation between System 1 and System 2 and evolutionary and normative rationality. We clarify our attempt to fuse the contributions of the cognitive ecologists with the insights of the original heuristics and biases researchers. (shrink)

Abordamos aqui a influência do método de Condillac sobre a história da química. Partindo da confessada dívida de Lavoisier com o abade, propomo-nos a avaliar o aporte que o método condillaquiano terá para a filosofia natural da segunda metade do XVIII, colocando-a primeiramente na perspectiva da onda newtoniana que contaminou progressivamente as ciências a partir do fim do XVII. Mostramos então como o método de Newton, via alquimia, é capaz de inserir aspectos alheios ao mecanicismo estrito nas discussões, o que (...) garantirá à química legitimidade para se valer de conceitos como atrações e afinidades. Mais tarde, ao constituir e sistematizar um método geral de conhecimento marcado pelo modelo newtoniano, Condillac legará aos naturalistas meios para ordenar proficuamente novas regiões de conhecimento. Quando adequadamente adaptado por Lavoisier aos problemas químicos, este método promoverá a “revolução” da química, ou seu estabelecimento definitivo como ciência positiva. (shrink)

The ArgumentThis paper is a study of the role of language in scientific activity. It recommends that language be viewed as a community's means of patterning its affairs. Language represents where the boundaries of the community are and who is entitled to speak within it, and it displays the structures of authority in the community. Moreover, language precipitates the community's view of what the world is like, such that linguistic usages can be taken as referring to that world. Thus, language (...) connects on the one side to a community's practical life, and, on the other, to the reality on which it “reports.”The example treated is Robert Boyle's view of the language proper for experimental practice, and his arguments against the value and legitimacy of mathematical representations within the experimental community. Boyle argued that the use of mathematics was inappropriate because (i) it would restrict the number of potential participants; (ii) it would give rise to unwarranted expectations of the certainty and accuracy to be expected of real physical inquiries; (iii) it would suggest views of natural law and God's relations with the natural world which were incorrect and possibly dangerous; and because (iv) the world upon which the experimentalist operated was not such as was represented by mathematical idealizations. I try to establish that decision about the appropriate language for the experimental community was a moral choice. (shrink)

Much has been written about Robert Hooke's so-called ‘Discourse of Earthquakes’, the series of lectures he delivered before the Royal Society of London over the years 1667–1700. The chief points of the lectures are thus well known: fossils are the remains of once-living organisms, and their burial in rather odd places within the earth's crust can be explained by the dislocations of land and sea resulting from earthquakes.

Abstract: I argue that for psychological and social reasons, the traditional “Conflict Model” of science and religion interactions has such a strong hold on the nonexpert imagination that counterexamples and claims that interactions are simply more complex than the model allows are inadequate to undermine its power. Taxonomies, such as those of Ian Barbour and John Haught, which characterize conflict as only one among several possible relationships, help. But these taxonomies, by themselves, fail to offer an account of why different (...) relationships prevail among different communities and how they succeed one another within particular communities—that is, they contain no dynamic elements. To undermine the power of the “Conflict Model,” we should be seeking to offer alternative models for science and religion interactions that can both incorporate the range of stances articulated by scholars like Barbour and which can offer an account of the process by which differing attitudes succeed one another. As a step toward this goal, I propose a general “interacting subcultures model” and illustrate its applicability in a small number of mini-case studies from Early Modern Britain and France and with glances toward contemporary America. (shrink)

Are we entering a major new phase of modern science, one in which our standard, human modes of reasoning and understanding, including heuristics, have decreasing value? The new methods challenge human intelligibility. The digital revolution inspires such claims, but they are not new. During several historical periods, scientific progress has challenged traditional concepts of reasoning and rationality, intelligence and intelligibility, explanation and knowledge. The increasing intelligence of machine learning and networking is a deliberately sought, somewhat alien intelligence. As such, it (...) challenges the traditional, heuristic foresight of expert researchers. Nonetheless, science remains human-centered in important ways—and yet many of our ordinary human epistemic activities are alien to ourselves. This fact has always been the source of “the discovery problem”. It generalizes to the problem of understanding expert scientific practice. Ironically, scientific progress plunges us ever deeper into complexities beyond our grasp. But how is progress possible without traditional realism and the intelligibility realism requires? Pragmatic flexibility offers an answer. (shrink)

The ArgumentScience consists in progress by innovation. Scientists, however, are committed to all kinds of traditions that persist or recur in society regardless of intellectual and institutional changes. Merton's thesis about the origins of the scientific revolution in seventeenth-century England offers a sociohistorical confirmation of this revisionist view: the emergence of a highly rational scientific method out of the religious-ethical sentiments of the English Puritans implies that scientific knowledge does indeed grow out of – and not really against – customary (...) modes of thought.In tracing the intellectual origins of this view back to the religious controversy between Protestants and Catholics, the essay demonstrates that the essential conflict between them with regard to natural science stemmed from their antagonistic conceptions of tradition and its function in the production of genuineknowledge– of religious as well as of natural affairs. Whereas the Protestants believed only in those truths that are immediately revealed by God to each man through his reason, the Catholics adhered to truths that are related to men or “made” by them through culture and history. (shrink)

This article proposes that a general theory of assessment of historical testimony should do justice to the long tradition of adjudication in accordance with maxims of reliability and competence. I argue that an explanatory genealogical theory (along lines first adumbrated by Charles Seignobos) satisfies this condition, and that it has further notable virtues: respect for the strengths of rival theories, regard for the links between adjudication of testimony and other basic procedures of historical inquiry, and the promise of profitable lines (...) of investigation. (shrink)

Robert Hooke’s theory of gravitation is a promising case study for probing the fruitfulness of Menachem Fisch’s insistence on the centrality of trading zone mediators for rational change in the history of science and mathematics. In 1679, Hooke proposed an innovative explanation of planetary motions to Newton’s attention. Until the correspondence with Hooke, Newton had embraced planetary models, whereby planets move around the Sun because of the action of an ether filling the interplanetary space. Hooke’s model, instead, consisted in the (...) idea that planets move in the void space under the influence of a gravitational attraction directed toward the sun. There is no doubt that the correspondence with Hooke allowed Newton to conceive a new explanation for planetary motions. This explanation was proposed by Hooke as a hypothesis that needed mathematical development and experimental confirmation. Hooke formulated his new model in a mathematical language which overlapped but not coincided with Newton’s who developed Hooke’s hypothetical model into the theory of universal gravitation as published in the Mathematical Principles of Natural Philosophy (1687). The nature of Hooke’s contributions to mathematized natural philosophy, however, was contested during his own lifetime and gave rise to negative evaluations until the last century. Hooke has been often contrasted to Newton as a practitioner rather than as a “scientist” and unfavorably compared to the eminent Lucasian Professor. Hooke’s correspondence with Newton seems to me an example of the phenomenon, discussed by Fisch in his philosophical works, of the invisibility in official historiography of “trading zone mediators,” namely, of those actors that play a role, crucial but not easily recognized, in promoting rational scientific framework change. (shrink)

ABSTRACT Between the publication of Montaigne's Essais and Hobbes's Leviathan rhetors became increasingly anxious about arguing in utramque partem. Paradiastolic discourse, fundamental to Montaigne's early essays, is anxiously though expertly deployed in Leviathan. Paradiastole fuses the ability to see and speak about an issue from antithetical perspectives with the ambivalence such power arouses in. Beyond their skepticism, Montaigne and Hobbes share a concern for how phenomena can be interpreted and represented through language. Despite Hobbes's desire for a method that would (...) ensure constant and determinate linguistic acts that would render rhetoric supererogatory, Leviathan demonstrates his unremarkable affinities with mainline Renaissance humanists alongside his uneasy affinities with the Sophists. Both the humanist and the Sophist used the trope to probe and to persuade, though both were anxious about the reversibility of such rhetorical redescriptions. Paradiastolic discourses, we argue, integrate the cognitive procedures of philosophy with the judicative procedures of rhetoric. The trope operates through exploiting the reciprocity between similar qualities, as exemplified by the influential paradiastolic pairing of ferox and fortis. (shrink)

Kant’s account of practical justification for belief has attracted much attention in the literature, especially in recent years. In this context, scholars have generally emphasized the originality of Kant’s thought about belief (Glaube), and Kant indeed offers a definition of belief that is very different from views that were prevalent in eighteenth-century Germany. In this article, however, I argue that it is very likely that Christian August Crusius exerted influence on Kant’s definition of belief and his account of practical justification. (...) In turn, acknowledging this influence has relevant consequences for how we understand the phenomenology of Kantian belief. (shrink)

This article investigates the emergence of the archive as the primary venue for the production of historical knowledge in the 19thcentury. The turn to archival research, the article argues, may be considered as a response to the discussions about the problems of testimony that dominated 18th- and early 19th-century German writings on the methodology and epistemology of historical research. These discussions, especially regarding the epistemic virtues of witnesses, also helped create the particular culture of knowledge-making within German historical scholarship that (...) enabled the archival turn. The article illustrates these developments through the examples of Johann Peter von Ludewig, who was one of the most prominent historians of the early German Enlightenment, and Leopold von Ranke, who is normally considered the founder of the modern historical discipline and the most important advocate of the 19th-century archival turn. (shrink)

The ArugmentThis essay answers a single question: what was Robert Hooke, the Royal Society's curator of experiments, doing in his well-known 1665 work,Micrographia?Hooke was articulating a “universal cure of the mind” capable of bringing about a “reformation in Philosophy,” a change in philosophy's interpretive practices and organization. The work explicated the interpretive and political foundations for a community of optical instrument users coextensive with the struggling Royal Society. Standard observational practices would overcome the problem of using nonstandard instruments, while inherent (...) inrepresentation– the interpretive practice championed in the text – were important theological and political meanings. Hooke's kind of experimental philosophy undermined the claims made by “atheists” and “enthusiasts” – the enemies of the restored church and state – while also producing useful knowledge. Equally important, Hooke modeled the community described inMicrographiaupon the classicalres publica, but his community made important concessions to Restoration political realities, especially the growing role of commercial or transactional relationships. (shrink)

The ArgumentUsing a pernicious Foucaultian reading of Weber's rationalization theories, I endeavor in this essay to illuminate academic acts as kept in the Brandenburg-Prussian state archive in Berlin, with some comparison to others, chiefly those in the Bavarian state archive in Munich. The essay concerns the microtechniques of marking, collecting and keeping records, and the form and content of archives of academic acts – interesting for the reason that paperwork circumscribes the state ministry's ability to recollect academic acts and hence (...) its power and knowledge over academics. I consider mostly acts relating to the early modern “Arts and Philosophy Faculty,” which corresponds more or less to the present-day “Division of Arts, Letters and Sciences.” The transformation, traced from the Baroque to the Romantic era, is understood as a process of “ministerial-market rationalization” of German academia: I try to show how central German ministries, as reflected in archival acts, altered the academic persona to suit themselves and the market, and how professorial appointments were rationalized accordingly. (shrink)

This paper argues that the development of early-modern science was strongly influenced by prevailing legal practices.1 This argument goes back to the work of Barbara Shapiro, who explored in a numb...

ABSTRACTThere is good reason to regard John Locke’s treatment of testimony as perhaps the most important of the early modern period. It is sophisticated, well developed, pioneering, and seems to ha...

Here lyes that mighty Man of SenseWho, full of years, departed hence,To teach the other world Intelligence,This was the prodigious Man,who vanquish’ d Pope and Puritan,By the Magic of Leviathan.Had he not Controversy wanted,His deeper Thoughts had not been scanted;Therefore good Spirits him transplant:Wise as he was, he could not tellWhether he went to Heaven or Hell.Beyond the Tenth Sphere, if there be a wide place,He'll prove by his Art there's no infinite space:And all good Angels may thank him, for (...) thatHe has prov’ d they are something, tho men know not what.Hobbes's Epitaph. (shrink)

Locke's definition of miracles in “A Discourse of Miracles” is widely cited by scholars as evidence of his subjectivism on the matter. According to this interpretation, Locke held it to be sufficient that an event seems to be a violation of the laws of nature for it to count as a miracle. Nothing supernatural need actually occur. The principal aim of this article is to argue that Locke can and ought to be read as an objectivist about miracles. A subjectivist (...) reading falls short in two crucial respects: It undermines the function of miracles as evidence for divine revelation, so central to his account, and is at odds with his consistent and explicitly objective use of the term, as an event that necessarily involves a violation of the laws of nature. Indeed, it is from their objective nature that Locke thinks miracles derive their evidential force. A key part of my argument lies in distinguishing between ontological and epistemological issues concerning miracles and demonstrating how this distinction is present throughout his work on the matter. Ultimately, I conclude that what is often interpreted as Locke's subjectivism about miracles is his privileging of these epistemic issues. (shrink)

In the Optics, Descartes claims that telescopes and microscopes lead to morally certain knowledge. It is unclear, however, that Descartes’s expressed confidence in these instruments is warranted. In this article, I show how a limited range of telescope and microscope observations could lead to morally certain knowledge for Descartes, and how observations beyond this range admit of enough reasonable doubt to undermine moral certainty. I also explain moral certainty as a form of knowledge in Descartes’s scientific practices, his epistemic commitment (...) to optical instruments, and I offer an explanation for why Descartes never used optical instruments in his scientific endeavours. -/- ---- -/- Dans la Dioptrique, Descartes prétend que les télescopes et les microscopes donnent accès à des connaissances moralement certaines. Cependant, il n’est pas certain que la confiance accordée par Descartes à ces instruments soit justifiée. Dans cet article, je montre comment une gamme limitée d’observations effectuées à l’aide d’instruments d’optique pourraient mener aux connaissances moralement certaines pour Descartes, et comment d’autres observations allant au-delà de cette gamme introduisent suffisamment de doute raisonnable pour saper cette certitude morale. Enfin, j’interprète la certitude morale comme une forme de connaissance dans l’empirisme de Descartes, j’explique son engagement épistémique envers les instruments d’optique, et j’éclaire les raisons pour lesquelles il n’a jamais employé d’instruments d’optique dans ses propres recherches scientifiques. (shrink)

In 1675, Burchard de Volder (1643–1709) was the first professor to introduce the demonstration of experiment into a university physics course and built the Leiden Physics Theatre to accommodate this new pedagogy. When he requested the funds from the university to build the facility, he claimed that the performance of experiments would demonstrate the “truth and certainty” of the postulates of theoretical physics. Such a claim is interesting given de Volder’s lifelong commitment to Cartesian scientia. This chapter will examine de (...) Volder’s views on experiment and show that they are not Newtonian or inductivist, as is sometimes claimed. While de Volder thinks we need deductive reasoning from first principles to provide evidence of the certainty of the content of our physical theories, he also contends that we need experiment to provide evidence of the certainty of the existence of the particular bodies those theories discuss. This approach to experiment is based on a distinction between rational certainty and the certainty of material bodies in the actual world. While this account is deeply influenced by Descartes, it is importantly different than Descartes’ distinction between absolute and moral certainty. De Volder’s “Cartesian Empiricism” is best understood as a continuation and further development of a long tradition of teaching through observation at Leiden. (shrink)

Akin to the mathematical recreations, John Wilkins' Mathematicall Magick (1648) elaborates the pleasant, useful and wondrous part of practical mathematics, dealing in particular with its material culture of machines and instruments. We contextualize the Mathematicall Magick by studying its institutional setting and its place within changing conceptions of art, nature, religion and mathematics. We devote special attention to the way Wilkins inscribes mechanical innovations within a discourse of wonder. Instead of treating ‘wonder’ as a monolithic category, we present a typology, (...) showing that wonders were not only recreative, but were meant to inspire Wilkins' readers to new mathematical inventions. (shrink)

This dissertation explores how antiquity and some of its early modern admirers understand the notion of certainty, especially as it is theorized in Quintilian's Institutio Oratoria, a first-century educational manual for the aspiring orator that defines certainty in terms of consensus. As part of a larger discussion of argumentative strategies, Quintilian turns to the “nature of all arguments,” which he defines as “reasoning which lends credence to what is doubtful by means of what is certain” (ratio per ea quae certa (...) sunt fidem dubiis adferens: quae natura est omnium argumentorum, V.10.8). These certainties, he later specifies, include not matters of scientific demonstration or objective fact, but the agreements of various communities: the laws of cities, local customs, and other forms of consensus. As the foundation of persuasive rhetoric, these consensus-based certainties situate argumentation as the practice of crafting agreements rather than demonstrating necessary conclusions. Taking as its point of departure Quintilian's novel understanding of certainty, this study looks to some of Quintilian's intellectual forebears as well as his later readers to show how his work is both a nexus of earlier intellectual developments as well as an important inspiration for later accounts of certainty, even into the early modern period. After illustrating in the first chapters of this dissertation how Quintilian's manual incorporates elements from Aristotelian notions of dialectic and rhetoric as well as from Ciceronian skeptical approaches to epistemology, I show how Quintilian's curriculum for the orator shapes the thought of Italian humanists, especially that of Lorenzo Valla (1406–1457), a reformer of scholastic logic and dialectic, and Giambattista Vico (1668–1744), an influential Neapolitan jurist. Adopting Quintilian's rendering of certainty as a matter of agreements and conventions, these later authors elaborate their own novel approaches to various fields—including law, language, and logic—through this ancient understanding of certum. Contrary to modern notions of certainty as objective or scientific fact, Quintilian's humanist readers continue to root this concept in consensus, both within the courtroom and without. (shrink)