This chapter examines the views of seventeenth-century British philosophers on the notion of logic and demonstrative knowledge, particularly Francis Bacon, Thomas Hobbes, and John Locke, offering an overview of traditional Aristotelianism in relation to logic and describing Bacon's approach to demonstration and logic. It also analyzes the contribution of the Cambridge Platonists and evaluates the influence of Cartesianism. The chapter concludes that theorizing about logic and demonstrative knowledge followed an arc familiar from other branches of philosophy such as metaphysics or (...) the philosophy of science. (shrink)

In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work.

Hobbes and Wallis's "battle of the books" illuminates the intimate relationship between science and crucial seventeenth-century debates over the limits of sovereign power and the existence of God.

In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics is in fact central to his thought, developing out of his critique of abstraction. Jesseph's argument situates Berkeley's ideas within the larger historical and intellectual context of (...) the Scientific Revolution. Jesseph begins with Berkeley's radical opposition to the received view of mathematics in the philosophy of the late seventeenth and early eighteenth centuries, when mathematics was considered a "science of abstractions." Since this view seriously conflicted with Berkeley's critique of abstract ideas, Jesseph contends that he was forced to come up with a nonabstract philosophy of mathematics. Jesseph examines Berkeley's unique treatments of geometry and arithmetic and his famous critique of the calculus in The Analyst. By putting Berkeley's mathematical writings in the perspective of his larger philosophical project and examining their impact on eighteenth-century British mathematics, Jesseph makes a major contribution to philosophy and to the history and philosophy of science. (shrink)

The dissertation is a detailed analysis of Berkeley's writings on mathematics, concentrating on the link between his attack on the theory of abstract ideas and his philosophy of mathematics. Although the focus is on Berkeley's works, I also trace the important connections between Berkeley's views and those of Isaac Barrow, John Wallis, John Keill, and Isaac Newton . The basic thesis I defend is that Berkeley's philosophy of mathematics is a natural extension of his views on abstraction. The first chapter (...) is devoted to a consideration of Berkeley's treatment of abstraction, including his arguments against the doctrine of abstract ideas and his own account of how the explanatory ideas traditionally assigned to abstract ideas can be filled by a non-abstractionist account of human knowledge. In chapter two I investigate the details of Berkeley's proposed new foundations for geometry, showing how his rejection of abstract ideas led him to a critique of the traditional conception of geometry . Of particular importance in this context is Berkeley's denial of infinite divisibility and his attempts to show that a satisfactory account of geometry does not require that geometric magnitudes be infinitely divisible. Chapter three is concerned with Berkeley's treatment of arithmetic and algebra. Here I argue that Berkeley's denial of the claim that arithmetic is the science of abstract ideas of number ultimately results in his advocacy of a strongly nominalistic conception of arithmetic which has strong similarities to modern fomalism. In chapter four I discuss Berkeley's famous critique of the calculus in The Analyst and other works, concluding that his criticism of the calculus is essentially correct, although his attempted explanation of the success of infinitesimal methods is unconvincing. (shrink)

PrefaceList of AbbreviationsChapter One: The Mathematical Career of the Monster of MalmesburyChapter Two: The Reform of Mathematics and of the UniversitiesIdeological Origins of the DisputeChapter Three: De Corpore and the Mathematics of MaterialismChapter Four: Disputed FoundationsHobbes vs. Wallis on the Philosophy of MathematicsChapter Five: The "Modern Analytics" and the Nature of DemonstrationChapter Six: The Demise of Hobbesian GeometryChapter Seven: The Religion, Rhetoric, and Politics of Mr. Hobbes and Dr. WallisChapter Eight: Persistence in ErrorWhy Was Hobbes So Resolutely Wrong?Appendix: Selections from (...) Hobbes's Mathematical WritingsReferencesIndex Copyright © Libri GmbH. All rights reserved. (shrink)

This article examines Hobbes’s conception of mathematical method, situating his methodological writings in the context of disputed mathematical issues of the seventeenth century. After a brief exposition of the Hobbesian philosophy of mathematics, it investigates Hobbes’s attempts to resolve three important mathematical controversies of the seventeenth century: the debates over the status of analytic geometry, disputes over the nature of ratios, and the problem of the “angle of contact” between a curve and tangent. In the course of these investigations, Hobbes’s (...) account of mathematics and its method is contrasted with the those of Descartes, Isaac Barrow, John Wallis, and Christopher Clavius. (shrink)

This paper analyzes Berkeley's arguments for the existence of God in the Principles of Human Knowledge, Three Dialogues, and Alciphron. Where most scholarship has interpreted Berkeley as offering three quite distinct attempted proofs of God's existence, I argue that these are all variations on the strategy of inference to the best explanation. I also consider how this reading of Berkeley connects his conception of God to his views about causation and explanation.

Early in his mathematical career Leibniz discovered some important methods and results but had to recognize that his findings had been anticipated by other mathematicians such as Pierre de Fermat, James Gregory, Isaac Newton, François Regnauld, John Wallis, etc. This paper investigates the cases of Isaac Barrow and Pietro Mengoli who, earlier than Leibniz, had been familiar with the characteristic triangle, transmutations methods, the inverse connection between determining tangents and areas of curves or the sums of the reciprocal figurate numbers, (...) and the harmonic triangle. To what extent was Leibniz aware of the results and publications of his predecessors? How did he assess their methods and results? Why did Leibniz never acknowledge any influence of these two mathematicians on his own studies? After publication of Leibniz’s manuscripts concerning the prehistory and early history of the calculus in the Academy Edition these questions can be investigated on the solid foundation of original texts. (shrink)

This is a puzzling book. On the one hand, Stoneham insists that “we cannot appreciate the contributions made by philosophers like Berkeley without coming to terms with the full breadth and detail of his thought”. On the other hand, his interpretive efforts are directed almost exclusively at the Three Dialogues between Hylas and Philonous—a work Berkeley intended as a popular recasting of his doctrines and one that scholars generally regard as conspicuously lacking the “full breadth and detail” of his philosophy. (...) There is an evident tension between the goal of thoroughly examining Berkeley’s thought and the chosen means of focusing on the Three Dialogues. This tension arises, in large part, from the fact that Stoneham’s intended audience is not Berkeley scholars, but rather people seriously interested in philosophy and its history, yet lacking significant familiarity with Berkeley’s thought or its background in early modern philosophy. As a way to introduce advanced undergraduates or graduate students to Berkeley, the book is a reasonably successful effort, although there are some significant shortcomings. (shrink)

It is argued that, contrary to the standard accounts of the development of infinitesimal mathematics, the leading mathematicians of the seventeenth century were deeply concerned with the rigor of their methods. examples are taken from the work of cavalieri and leibniz, with further material drawn from guldin, barrow, and wallis.

This is a puzzling book. On the one hand, Stoneham insists that “we cannot appreciate the contributions made by philosophers like Berkeley without coming to terms with the full breadth and detail of his thought”. On the other hand, his interpretive efforts are directed almost exclusively at the Three Dialogues between Hylas and Philonous—a work Berkeley intended as a popular recasting of his doctrines and one that scholars generally regard as conspicuously lacking the “full breadth and detail” of his philosophy. (...) There is an evident tension between the goal of thoroughly examining Berkeley’s thought and the chosen means of focusing on the Three Dialogues. This tension arises, in large part, from the fact that Stoneham’s intended audience is not Berkeley scholars, but rather people seriously interested in philosophy and its history, yet lacking significant familiarity with Berkeley’s thought or its background in early modern philosophy. As a way to introduce advanced undergraduates or graduate students to Berkeley, the book is a reasonably successful effort, although there are some significant shortcomings. (shrink)

The A to Z of Descartes and Cartesian Philosophy includes a chronology, an introduction, a bibliography, and cross-reference dictionary entries Descartes's writings, concepts, and findings, as well as entries on those who supported him, those who criticized him, those who corrected him, and those who together formed one of the major movements in philosophy, Cartesianism.

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.

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 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)

The purpose of this paper is to analyze what some private universities are doing in the area of mediation and other alternative ways of solving faculty complaints – what some term "alternative dispute resolution." Special attention will be given to one of the most important ethical issues in this area at the operating level of individual universities – the due process procedures with respect to the processing of the grievances of individual faculty members in nonunionized colleges. The paper concludes with (...) recommendations for university administrators and faculty senates, as well as recommendations for future research. (shrink)

This study employs the uses and gratification approach to investigate how different forms of Facebook use are linked to bridging social capital and bonding social capital. A survey of 152 college students was conducted to address research questions and to test hypotheses. Factor analysis identified six unique uses and gratifications: (a) information seeking, (b) entertainment, (c) communication, (d) social relations, (e) escape, and (f) Facebook applications. Findings reveal that intensity of Facebook use and the use of Facebook for social relations (...) are positive predictors of bridging social capital, whereas the use of Facebook for escape is negatively linked to bonding social capital. (shrink)

If you look up οκος in Liddell and Scott, you find the instances classified in three main divisions: first those meaning a house, or sometimes other kinds of building; secondly ‘one's household goods, substance’, for which I shall generally say ‘property’, though Liddell and Scott do not actually use that word; and thirdly ‘family’. This threefold distinction is sound, and I shall adhere to it here. Admittedly one sometimes finds an instance where it is not easy to decide which sense (...) the word has. Two of the senses, occasionally even all three, may overlap. But in the great majority of instances it is clear which sense is meant. (shrink)

The number of speaking actors in Old Comedy has been much discussed, but no consensus has been reached. The old assumption that the number was three, as in tragedy, was shaken when it was realized that some scenes of Aristophanes have four characters on-stage at once, all taking part in the dialogue: for example, in Lys. 77–253 we have Lysistrate, Kalonike, Myrrhine, and Lampito, and in Frogs 1414–81 we have Dionysos, Aiskhylos, Euripides, and Plouton. Rees therefore argued that there was (...) no fixed number, but that view was not generally accepted. A more widely held view is that there were three principal actors with additional performers for small parts. However, there is no evidence contemporary with Aristophanes which distinguishes three actors from the others in this way, and it is probable that writers of later periods who mention three actors are referring to their own times and did not have authentic information about the fifth century. The passage which DFA, p. 149, seems to regard as the most trustworthy is in a brief account of comedy attributed to Tzetzes: πιγενμενος δ Κρατνος κατστησε μν πρτον τ ν τ κωμδ πρσωπα μεχρ τριν, στσας τν ταξαν4 DFA paraphrases this as ‘Cratinus reduced the disorderliness and, in some sense, fixed the number of regular actors at three’. But πρσωπα means ‘masks’ or ‘characters’; it does not mean ‘actors’ . What the writer meant by saying that Kratinos settled the masks or characters in comedy at ‘up to three’ is not clear, but his statement is useless as evidence for the number of actors. (shrink)

In their recent article, Kirsch and Hyland questioned the relation between psychological and associated neurophysiological phenomena in the introduction of complementarity into psychology. Mishkin's work on the neurophysiological basis of memory and perception provides an example of the extension of complementarity that I have proposed and that can serve as the basis for empirical testing of this extension. Mishkin's thesis that memory storage occurs at sensory stations in the cortex allows for the resolution of a fundamental problem in cognitive psychology, (...) namely the reciprocal dependence of perception and memory. Also, Mishkin's thesis allows that psychological phenomena do not depend on an objective world for their existence. (shrink)

Elitzur maintains that in quantum mechanical measurement consciousness does not have a significant impact on the physical world. His thesis is refuted through an elaboration of Schrödinger's gedankenexperiment called the cat paradox. The generally conservative tone of Elitzur's article as regards the involvement of consciousness in the physical world is discussed. Through discussing the conservation of energy and the second law of thermodynamics much differently than did Elitzur, it is shown how the involvement of human cognition in the functioning of (...) the physical world can be found in the structure of physical theory itself. Elitzur's major argument concerning a demonstration of a non-material basis for consciousness is shown to be inadequate. (shrink)