Accounts of Hobbes’s ‘system’ of sciences oscillate between two extremes. On one extreme, the system is portrayed as wholly axiomtic-deductive, with statecraft being deduced in an unbroken chain from the principles of logic and first philosophy. On the other, it is portrayed as rife with conceptual cracks and fissures, with Hobbes’s statements about its deductive structure amounting to mere window-dressing. This paper argues that a middle way is found by conceiving of Hobbes’s _Elements of Philosophy_ on the model of a (...) mixed-mathematical science, not the model provided by Euclid’s _Elements of Geometry_. I suggest that Hobbes is a test case for understanding early-modern system-construction more generally, as inspired by the structure of the applied mathematical sciences. This approach has the additional virtue of bolstering, in a novel way, the thesis that the transformation of philosophy in the long seventeenth century was heavily indebted to mathematics, a thesis that has increasingly come under attack in recent years. (shrink)

Recent Cartesian scholarship postulates two Descartes, separating Descartes into a scientist and a metaphysician. The purpose varies, but one has been to show that the metaphysical Descartes, of the Meditations, is less genuine than the scientific Descartes. Accordingly, discussion of God and the soul, the evil demon, and the non-deceiving God were elements of rhetorical strategy to please theologians, not of serious philosophical argumentation. I agree in finding two Descartes, but the two I identify are not scientist and philosopher, but (...) practitioner and methodologist of the mathematical sciences on the one hand, and metaphysician of a new, general science of nature on the other. This chapter examines the transition to the second Descartes, and especially the metaphysical turn. It proposes that although Descartes' doubt was methodological and he felt no serious threat from skepticism and absolute certainty was not his primary goal. Rather, the doubt was used to reform the intellect, or to teach the use of the pure intellect (and to obtain certainty in that domain). Further, Descartes' metaphysics was primarily in the service of his natural philosophy (where in the main he did not claim absolute certainty). He did not talk about God and the soul in order to fool the theologians. His discussion of the relation between God and human reason was part of a metaphysical strategy in which, through his doctrine on the eternal truths, he separated knowledge of the first principles of natural philosophy (gained by the natural light) from theological cognition (through the light of grace), thereby seeking to render his metaphysics distinct from the proper domain of theology. (shrink)

ArgumentTalk of “reason” and “rationality” has been perennial in the philosophy and sciences of the European, Latin tradition since antiquity. But the use of these terms in the early-modern period has left especial marks on the specialties and disciplines that emerged as components of “science” in the modern world. By examining discussions by seventeenth-century philosophers, including natural philosophers such as Descartes, Pascal, and Hobbes, the practical meanings of, specifically, inferential reasoning can be seen as reducing, for most, to intellectual processes (...) deriving from foundations that required intuitional insight that was owing to God. Mechanical reasoning, or artificial intelligence, was a contradiction in terms for such as Pascal, whose views of his own arithmetical machine illustrate the issue well. Hobbes’ analysis of reason, however, replaced the ineffable authority of God with the authority of the civil power, to reveal the social reality of “reason” as nothing other than authorized judgment. (shrink)

This journal article has been superseded by a revised version, published in the collection _Essays on the Philosophy and Science of Rene Descartes_, ed. by Stephen Voss (Oxford University Press, 1993), 259–287.

Descartes' image of the tree of knowledge from the preface to the French edition of the Principles of Philosophy is usually taken to represent Descartes' break with the past and with the fragmentation of knowledge of the schools. But if Descartes' tree of knowledge is analyzed in its proper context, another interpretation emerges. A series of contrasts with other classifications of knowledge from the seventeenth and eighteenth centuries raises some puzzles: claims of originality and radical break from the past do (...) not seem warranted. Further contrasts with Descartes' unpublished writings and with school doctrines lead to the ironic conclusion that, in the famous passage, Descartes is attempting to appeal to conventional wisdom and trying to avoid sounding novel. (shrink)

This chapter contains section titled: Kepler's New Astronomy Kepler's New Science of Vision Galileo and the Telescope Galileo and the Creation of Mathematical Physics Mersenne and the New Science.

Today, Thomas White (1593–1676) is remembered as the leader of the “Blackloists” – a renegade Catholic group that took its name from White's sometime pseudonym “Blacklo” – and as the friend and phi...

The ArgumentDespite more than fifty years of debate on the Merton thesis, there have been few attempts to substantiate Merton's argument through empirically based comparative studies. This study of the Jesuit scientific tradition is intended to serve as a test of some of Merton's central claims.Jesuit science is remarkable for its scope and longevity, and is distinguished by its markedly empirical and utilitarian orientation. In this paper I examine the ideological structure of the Society of Jesus and find at its (...) core an “apostolic spirituality” that explains the legitimation of these forms of science within the Society. The values of apostolic spirituality strongly encouraged an activist mentality among Jesuits, which in turn led to the formation of apostolates in education, at court, and in the overseas missions. The values associated with apostolic spirituality led to the initial acceptance of active-empirical sciences within the Society, which became established as traditions because they were useful in fulfilling the goals of the Society's apostolates.This study, by providing a qualified confirmation of Merton's central claims, suggests the importance of a supra-confessional sanctification of labor and learning in the growth of active-empirical sciences. (shrink)

In the ten years following the publication of Galileo Galilei's Discorsi e dimostrazioni matematiche intorno a due nuove scienze , the new science of motion was intensely debated in Italy, France and northern Europe. Although Galileo's theories were interpreted and reworked in a variety of ways, it is possible to identify some crucial issues on which the attention of natural philosophers converged, namely the possibility of complementing Galileo's theory of natural acceleration with a physical explanation of gravity; the legitimacy of (...) Galileo's methods of proof and of his theory of the composition of continuous magnitudes; and the adequacy of the experimental evidence in favor of his theory.Through his published works and his correspondence, Marin Mersenne contributed in a significant way to each of these discussions. In the following, I shall provide a sketch of Mersenne's multiple engagement with the new science of motion, while trying to account for his growing skepticism concerning Galileo's law of free fall. Whereas in the 1630s, Mersenne still firmly believed in the validity of this law and tried to devise experimental and mathematical proofs in its favor, in the 1640s he developed serious doubts regarding the possibility of constructing an exact science of motion. As we shall see, Mersenne's evolving attitude sheds an interesting light on his views concerning the relation between physics and mathematics.---------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ----------------------------------------------------. (shrink)

The Jesuit C.F. Milliet Dechales, author of one of the most famous early modern mathematical encyclopedias, Cursus seu mundus mathematicus, wrote a hundred-folio-page long treatise devoted to the “progress of mathematics,” which was published in the second, enlarged edition of his encyclopedia. His historical treatise covers the gamut of mixed mathematics—including astronomy, mechanics, optics, music, geography and navigation, ars tignaria, and architecture. The early modern historical narratives about the mathematical sciences, from Regiomontanus’s Oratio onwards, have been aptly characterized by their (...) literary form and goals rather than their historical content. Rhetoric, humanistic topoi, and philosophical filiation turned the histories of mathematics into powerful tools for different purposes. My account of Dechales’ tract on the “progress of mathematics” analyzes the ways in which it dovetails with Jesuit approaches to mathematics, provides legitimation to the mathematical sciences as well as to their authors, and contributes to define the role and boundaries of the discipline, in particular vis-à-vis natural philosophy. (shrink)

An understanding of the precise nature of the scientific method of Sir William Petty has proved elusive to historians of economic thought, in no small part because of a lack of Petty's own characterization of his scientific approach. This research clarifies the nature of Petty's method, as to whether it was primarily inductive or deductive, and to what extent it relied on empirical foundations. The paper employs a two-pronged analysis. First, it examines the main sources of Petty's method: the works (...) of Sir Francis Bacon and Thomas Hobbes, and the synergistic influences of the Hartlib Circle, the Royal Society, the Dublin Philosophical Society, and the Mersenne group. Second, four of Petty's most noted contributions to political economy are deconstructed in order to identify his scientific method. This research concludes that Petty relied almost exclusively on deduction in his scientific approach and that his analysis does not reveal any inductive reasoning. When data was available, Petty constructed his economic theories on empirical foundations. (shrink)

In the lively discussions on Galileo's laws of motion after the Pisan's death, we observe what might be called a new “Galilean affair.” That is, a trial brought against his new science of motion mainly by French and Italian Jesuits with the substantial adherence of M. Mersenne. This new trail was originated by Gassendi's presentation of Galileo's de motu not simply as a perfectly coherent doctrine, but also as a convincing argument in favor of the truth of Copernicanism.

Numerical tables are important objects of study in a range of fields, yet they have been largely ignored by historians of science. This paper contrasts and compares ways in which numerical tables were used by Galileo and Mersenne, especially in the Dialogo and Harmonie Universelle. I argue that Galileo and Mersenne used tables in radically different ways, though rarely to present experimental data. Galileo relied on tables in his work on error theory in day three of the Dialogo and also (...) used them in a very different setting in the last day of the Discorsi. In Mersenne's case they represent an important but so far unrecognized feature of his notion of universal harmony. I conclude by presenting a classification of different ways in which tables were used within the well-defined disciplinary and temporal boundaries of my research. In doing so, however, I provide a useful tool for extending similar investigations to broader domains. (shrink)

Duhem regarded the history of physical science as carrying a twofold lesson for the practicing physicist. First, history revealed the slow, groping, yet continuous development of physical theory toward a true description of the relations among natural entities. Second, history also unmasked false explanations and metaphysical beliefs that might seduce the unwary scientist into following an unfruitful line of research. This paper brings forth the central images underlying Duhem's historiographical project and uses the papers by S. Menn and W. A. (...) Wallace to ask what Duhem's enterprise actually meant in practice. I argue that the main question is the following: What is to count as the proper space of historical meaning and explanation? Strong Duhemians, such as S. Menn, purchase the longue durée at the cost of making historical agents into completely passive transmitters of conceptual homologies; weak Duhemians, such as W. A. Wallace, shorten the temporal distance between agents and permit thereby a modicum of conflict and negotiation within physical theory while still seeking to preserve long-term conceptual genealogies. Both positions, it is argued, allow insufficient room for actors' categories to determine the space of cultural analysis. (shrink)

: Marin Mersenne was central to the new mathematical approach to nature in Paris in the 1630s and 1640s. Intellectually, he was one of the most enthusiastic practitioners of that program, and published a number of influential books in those important decades. But Mersenne started his career in a rather different way. In the early 1620s, Mersenne was known in Paris primarily as a writer on religious topics, and a staunch defender of Aristotle against attacks by those who would replace (...) him by a new philosophy. In this essay, I would like to examine Mersenne's changing attitude toward Galileo. In the early 1620s, Mersenne lists Galileo among the innovators in natural philosophy whose views should be rejected. However, by the early 1630s, less than a decade later, Mersenne has become one of Galileo's most ardent supporters. How, then, did Mersenne learn to love Galileo? (shrink)

This contribution explores Gilles Personne de Roberval’s 1644 Aristarchi Samii de mundi systemate, partibus, & motibus eiusdem, libellus. I focus on the complex circumstances of publication, the intellectual context of the polemics of Copernicanism within the scientific community, as well as the natural philosophy of the treatise. Roberval’s strategy of publication provides a very sophisticated example of authorship in early modern natural philosophy. The strategy lies at the conflux of certain specific motivations. I contextualize these motivations by accounting for the (...) delicate debates around the motion of the Earth in mid-seventeenth century Europe, the institutional communities of the Collège Royal and Mersenne’s circle, and the disciplinary bounds of Roberval’s professional authority. Weighing in all the elements, I argue that Roberval’s publication is an interesting intellectual game, playing with the notion of ancient authority and humanistic recovery. By this somewhat libertine attitude, Roberval takes a stance in a complicated debate around heliocentrism and the status of hypothetical cosmology. Roberval’s position is supported by his natural philosophical speculations, which I situate in the contemporary debates of the community. Roberval borrows from many philosophers, but he aims at achieving a highly systematic speculative cosmology. One of the functions of this system is to confirm Copernicanism, while maintaining a very pessimistic attitude on the prospects of precise astronomical knowledge and, among others, prognostication issues. (shrink)

The “problem of emotions,” that is, that many of them are both meaningful and corporeal, has yet to be resolved. Western thinkers, from Augustine to Descartes to Zajonc, have handled this problem by employing various forms of mind–body dualism. Some psychologists and neuroscientists since the 1970s have avoided it by talking about cognitive and emotional “processing,” using a terminology borrowed from computer science that nullifies the meaningful or intentional character of both thought and emotion. Outside the Western-influenced contexts, emotion and (...) thought are not seen as distinct kinds of things. Here a solution of sorts is proposed by thinking of emotional expression as a dynamic activity that declares and stirs emotions at the same time. As such, its dynamism may help historians to understand the dramatic changes and trends they investigate. (shrink)

Analogies between hearing and seeing already existed in ancient Greek theories of perception. The present paper follows the evolution of such analogies until the rise of 17th century optics, with due regard to the diversity of their origins and nature but with particular emphasis on their bearing on the physical concepts of light and sound. Whereas the old Greek analogies were only side effects of the unifying concepts of perception, the analogies of the 17th century played an important role in (...) constructing optical theories by imitation of acoustic theories, or vice versa. This transition depended on several factors including the changing relations between optics, music, mathematics, and physics, the diversity of early modern concepts of sound, and the rise of a new physics based on experimentation and mechanical explanation. (shrink)

This paper is a survey of Father Mersenne’s views about the classification of sciences, its reasons and its practical consequences. Some emphasis is put on the interconnection between Mersenne’s two majors ideas about the practice of science : scientific research is an activity mostly devoted to religious apology and to the edification of the people. This religious concern allows him to resist two of the most influential philosophical streams of his time, scepticism and alchemy, which provide some favorite opponents to (...) his works. We also show how an analogical kinship based on theological considerations and on the classification of sciences gives ground to the same kind of arguments shaping his views about arithmetic, language, and music. Finally, we focus on the connection between Mersenne’s theses, especially about the nature and virtue of language and sound, and a more general discussion of the scientific status of music and language in the context of the blooming of academies. (shrink)

In the lively discussions on Galileo's laws of motion after the Pisan's death, we observe what might be called a new “Galilean affair.” That is, a trial brought against his new science of motion mainly by French and Italian Jesuits with the substantial adherence of M. Mersenne. This new trail was originated by Gassendi's presentation of Galileo's de motu not simply as a perfectly coherent doctrine, but also as a convincing argument in favor of the truth of Copernicanism.

We re-examine Mersenne's critique of Giordano Bruno concerning the question of the extension of the universe and the plurality of worlds as well as that of universal animation. For this, it is necessary to distinguish, especially in the examination of the first question, the strictly cosmological problem from its metaphysical and theological foundation in which the relation between God and the universe is resolved. Mersenne's critique fundamentally concerns this second side of our problem, according to his conviction that Bruno repeats (...) the age-old errors of philosophical paganism and reaffirms an 'impiety' completely incompatible with Christian doctrine.------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- -------------------------------------------------. (shrink)

This is about the tension between Epicurean and Galilean accounts of motion in Gassendi. For my more recent thoughts on this, see http://philpapers.org/rec/LOLCEG.

El tratado hidrostático fue uno de los primeros textos de Descartes, fruto de su decisivo encuentro con Isaac Beeckman. En este artículo, analizaremos cómo fue concebido y los motivos que llevaron a Descartes a cuestionar alguno de los aspectos fundamentales de la física matemática de Beeckman. Este episodio está íntimamente relacionado con la independencia de las disciplinas matemáticas y su aplicación a cuestiones propias de la filosofía natural.Descartes’ hydrostatic treatise was one of his first text, fruit of his crucial meeting (...) with Isaac Beeckman. In this article, we will analyse how it was conceived and the reasons which leaded Descartes to question some fundamental aspects of Beeckman’s Physico-mathematics. This subject is closely connected with theautonomy and implementation of mathematical sciences to typical matters of natural philosophy. (shrink)