This is a dictionary of Descartes and Cartesian philosophy, primarily covering philosophy in the 17th century, with a chronology and biography of Descartes's life and times and a bibliography of primary and secondary works related to Descartes and to Cartesians.

Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack (...) adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz. (shrink)

"The development of the calculus during the 17th century was successful in mathematical practice, but raised questions about the nature of infinitesimals: were they real or rather fictitious? This collection of essays, by scholars from Canada, the US, Germany, United Kingdom and Switzerland, gives a comprehensive study of the controversies over the nature and status of the infinitesimal. Aside from Leibniz, the scholars considered are Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. The collection also contains newly discovered marginalia of Leibniz (...) to the writings of Hobbes."--BOOK JACKET. (shrink)

_ Source: _Volume 29, Issue 1, pp 66 - 85 This paper will deal with the notion of _conatus_ and the role it plays in Hobbes’s program for natural philosophy. As defined by Hobbes, the _conatus_ of a body is essentially its instantaneous motion, and he sees this as the means to account for a variety of phenomena in both natural philosophy and mathematics. Although I foucs principally on Hobbesian physics, I will also consider the extent to which Hobbes’s account (...) of _conatus_ does important explanatory work in his theory of human perception, psychology, and political philosophy. I argue that, in the end, there are important limitations in Hobbes’s account of _conatus_, but that Leibniz adapted the concept in important ways in developing his science of dynamics. (shrink)

: This paper investigates the influence of Galileo's natural philosophy on the philosophical and methodological doctrines of Thomas Hobbes. In particular, I argue that what Hobbes took away from his encounter with Galileo was the fundamental idea that the world is a mechanical system in which everything can be understood in terms of mathematically-specifiable laws of motion. After tracing the history of Hobbes's encounters with Galilean science (through the "Welbeck group" connected with William Cavendish, earl of Newcastle and the "Mersenne (...) circle" in Paris), I argue that Hobbes's 1655 treatise De Corpore is deeply indebted to Galileo. More specifically, I show that Hobbes's mechanistic theory of mind owes a significant debt to Galileo while his treatment of the geometry of parabolic figures in chapter 16 of De Corpore was taken almost straight out of the account of accelerated motion Two New Sciences. (shrink)

The dispute that raged between Thomas Hobbes and John Wallis from 1655 until Hobbes's death in 1679 was one of the most intense of the ‘battles of the books’ in seventeenth-century intellectual life. The dispute was principally centered on geometric questions, but it also involved questions of religion and politics. This paper investigates the origins of the dispute and argues that Wallis’s primary motivation was not so much to refute Hobbes’s geometry as to demolish his reputation as an authority in (...) political, philosophical, and religious matters. It also highlights the very different conceptions of geometrical methodology employed by the two disputants. In the end, I argue that, although Wallis was successful in showing the inadequacies of Hobbes’s geometric endeavours, he failed in his quest to discredit the Hobbesian philosophy in toto. (shrink)

This paper deals with the very different attitudes that Descartes and Pascal had to the cycloid—the curve traced by the motion of a point on the periphery of a circle as the circle rolls across a right line. Descartes insisted that such a curve was merely mechanical and not truly geometric, and so was of no real mathematical interest. He nevertheless responded to enquiries from Mersenne, who posed the problems of determining its area and constructing its tangent. Pascal, in contrast, (...) saw the cycloid as a paradigm of geometric intelligibility, and he made it the focus of a series of challenge problems he posed to the mathematical world in 1658. After dealing with some of the history of the cycloid , I trace this difference in attitude to an underlying difference in the mathematical epistemologies of Descartes and Pascal. For Descartes, the truly geometric is that which can be expressed in terms of finite ratios between right lines, which in turn are expressible as closed polynomial equations. As Descartes pointed out, this means that ratios between straight and curved lines are not geometrically admissible, and curves that require them must be banished from geometry. Pascal, in contrast, thought that the scope of geometry included curves such as the cycloid, which are to be studied by employing infinitesimal methods and ratios between curved and straight lines. (shrink)

This chapter provides an overview of Thomas Hobbes's materialistic philosophy of mathematics. Hobbes's mathematical ontology rejects the seventeenth century's received view of the subject and his proposed first principles departed quite significantly from the tradition. Hobbes's understanding of geometry as a generalized science of material bodies puts him at odds with the traditional notion that the objects of geometrical investigation are radically distinct from the realm of material things. Hobbes's methodology holds that demonstrative knowledge must be based on definitions that (...) identify the causes of things. Hobbes was quite hostile to the algebraic methods characteristic of Descartes's analytic geometry, and he found fault with some presentations of the “method of indivisibles” that is an important precursor to the calculus. Hobbes approved of Bonaventura Cavalieri's method while dismissing John Wallis's approach as incoherent. The chapter investigates Hobbes's controversy with Wallis. Any discussion of Hobbes's mathematics takes place against the background of his controversy with Wallis. (shrink)

Hobbes intended and expected De Corpore to secure his place among the foremost mathematicians of his era. This is evident from the content of Part III of the work, which contains putative solutions to the most eagerly sought mathematical results of the seventeenth century. It is well known that Hobbes failed abysmally in his attempts to solve problems of this sort, but it is not generally understood that the mathematics of De Corpore is closely connected with the work of some (...) of seventeenth-century Europe’s most important mathematicians. This paper investigates the connection between the main mathematical chapters of De Corpore and the work of Galileo Galilei, Bonaventura Cavalieri, and Gilles Personne de Roberval. I show that Hobbes’s approach in Chapter 16 borrows heavily from Galileo’s Two New Sciences, while his treatment of “deficient figures’ in Chapter 17 is nearly identical in method to Cavalieri’s Exercitationes Geometricae Sex. Further, I argue that Hobbes’s attempt to determine the arc length of the parabola in Chapter 18 is intended to use Roberval’s methods to generate a more general result than one that Roberval himself had achieved in the 1640s. I claim Hobbes was convinced that his first principles had led him to discover a “method of motion” that he mistakenly thought could solve any geometric problem with elementary constructions. (shrink)

Duhem's portrayal of the history of mathematics as manifesting calm and regular development is traced to his conception of mathematical rigor as an essentially static concept. This account is undermined by citing controversies over rigorous demonstration from the eighteenth and twentieth centuries.

The emergence of the global administrative sector and its new forms of knowledge production, expert rationality, and standardization, remains an understudied topic in science studies. Using a coproductionist theoretical framework, we argue tha the mutual construction of epistemic and legal authority across international organizations has been critical for constituting and stabilizing a global regime for the regulation of food safety. The authors demonstrate how this process has also given rise to an authoritative framework for risk analysis touted as ‘‘scientifically rigorous’’ (...) but embodying particular value choices regarding health, environment, and the dispensation of regulatory power. Finally, the authors trace how enrollment of the Codex Alimentarius in World Trade Law has heightened institutional dilemmas around legitimacy and credibility in science advice at the global level. Taken together, the case illustrates the importance of attending to the iterative construction of law and science in the constitution of new global administrative regimes. (shrink)

Sir George Etherege, William Wycherley and William Congreve introduce into their play-worlds major female characters who demand independence and equality from their male counterparts. This book focuses on each major female character who demands independence and equality of her gallant-libertine before she will commit to marriage or courtship with him. This demand for equality is a contrast to the social and marital relationships found in the real world of 17th century English Restoration society where marriage was a bargaining process for (...) property and where the woman was treated as the man's property. Each of the three playwrights develops his virtuous women in a different way. Wycherley's approach to his characters, for instance, is quite different from that of Etherege and Congreve. But in each case, the playwrights present major female characters who prove themselves superior in wit and wisdom and thoroughly modern in their outlook. (shrink)

Western science teaches that our beings are governed by the laws of physics and our minds play no part. There are, however, flaws in this thinking, most prominently unexplained paranormal phenomena that defy explanation by modern theories of physics. Collected by a handful of renegade scientists who call themselves parapsychologists, these data include extrasensory perception (ESP), poltergeist occurrences, and psychokinesis. Much of the current data in parapsychology and their implications for understanding the true nature of the self are examined here. (...) Beginning with a consideration of several instances of spontaneous psi, the book examines the theoretical explanations of paranormal phenomena. It also covers the hypothesis and evidence that minds contain the so-called hidden variables that determine the outcomes of the quantum process, thus interweaving parapsychology with modern physics. The minds fate upon the death of the physical body is discussed; the reader is forced to consider in detail the relationship between the conscious mind and the physical brain and the evidence that minds survive the death of bodies. (shrink)

The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmetic of infinites, and calculus were developed. Although many technical studies have been devoted to these innovations, Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting with (...) the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques, including the influence of the Aristotelian conception of science in Cavalieri and Guldin, the foundational relevance of Descartes' Geometrie, the relation between geometrical and epistemological theories of the infinite, and the Leibnizian calculus and the opposition to infinitesimalist procedures. In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics. (shrink)

Do continuing education (CE) mandates increase participation in ethics programs and enhance their perceived outcomes? In a study of 5,198 North American psychologists, significant differences were found between mandated and nonmandated psychologists in relation to their participation in ethics programs but not in the perceived outcomes associated with those trainings. Although 64.3% of those psychologists operating under ethics mandates reported completing at least one ethics training within the previous year, only 40.7% of those without such mandates reported doing likewise. Overall, (...) both groups tended to view their ethics training quite favorably in relation to its perceived outcomes, though they differed in relation to their endorsement of CE mandates. Results are discussed in relation to the ongoing development of evidence-based CE and its role in developing critical professional competencies. (shrink)