Machine generated contents note: List of figures. -- Acknowledgments. -- Introduction. -- Part One: Fundamental Issues. -- Part Two: The Transition from the Aristotelian Worldview to the Newtonian Worldview. -- Part Three: Recent Developments in Science and Worldviews. -- Chapter Notes and Suggested Reading. -- References. -- Index.

In a Sentences Commentary written about 1250 the Franciscan Richard Rufus subjects Anselm’s argument for God’s existence in his Proslogion to the most trenchant criticism since Gaunilon wrote his response on behalf of the “fool.” Anselm’s argument is subtle but sophistical, claims Rufus, because he fails to distinguish between signification and supposition. Rufus therefore offers five reformulations of the Anselmian argument, which we restate in modern formal logic and four of which we claim are valid, the fifth turning on (...) a possible scribal error. Rufus’s final conclusion is that the formulation in Proslogion, chapter 3, is convincing, but not that of chapter 2. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:125, HUME'S PROBABILITY ARGUMENT OF?,??,? In the Treatise,?,??,?, Hume presents an follows:' argument which, in the barest of outlines, goes as 1 (Pl) Every proposition has a probability less than one. (P2) If reason were the basis of our beliefs, then we would have no beliefs. (follows from (Pl)) (P3) We in fact do have beliefs. Hence, (P4) Reason is not the basis of our beliefs. The argument has (...) not been particularly well received. D. C. Stove, for example, refers to it as being "not merely defective, but one of the worst 2 arguments ever to impose itself on a man of genius." While not everyone is as unsympathetic as Stove, it nonetheless is difficult to find commentators favorably disposed toward the argument. Various sections of the Treatise are notoriously unclear.?,??,? is such a section; as such, it is difficult to say just what Hume intended his argument to be. My contention in the present paper is that there are two reasonable ways of reconstructing Hume's argument, both consistent with what Hume writes in?,??,?. The first reconstruction is clearly unsound; the second reconstruction fares somewhat better. In particular, my contention will be that this second reconstruction, if not sound, is at least valid 4 and contains no obviously false premises. Allow me to make some preliminary comments before presenting these reconstructions. The reconstructions to follow will primarily be concerned with premise (P2) above; in particular, the 126. reconstructions will focus on how Hume can claim that (P2) follows from (Pl). Premise (Pl) is a common 5 sceptical claim, not obviously false, and certainly not unique to Hume. As such, it strikes me that the more interesting part of the argument is Hume's claim that (P2) follows from (Pl), and such will be the focus of the reconstructions (although (Pl) will be discussed toward the end of this paper). Concerning (P2), why does Hume think this follows from (Pl)? His reasoning is contained in the following passage; Having thus found in every probability, beside the original uncertainty inherent in the subject, a new uncertainty deriv'd from the weakness of that faculty, which judges, and having adjusted these two together, we are oblig'd by our reason to add a new doubt deriv'd from the possibility of error in the estimation we make of the truth and fidelity of our faculties. This is a doubt, which immediately occurs to us, and of which, if we wou'd closely pursue our reason, we cannot avoid giving a decision. But this decision, tho' it shou'd be favourable to our preceeding judgment, being founded only on probability, must weaken still further our first evidence, and must itself be weaken'd by a fourth doubt of the same kind, and so on in infinitum; till at last there remain nothing of the original probability, however great we may suppose it to have been, and however small the diminution by every new uncertainty. No finite object can subsist under a decrease repeated in infinitum; and even the vastest quantity, which can enter into human imagination, must in this manner be reduc'd to nothing. (T182) Not for nothing did I claim that this section of the Treatise is unclear. At best, I can discern only the outline of Hume's reasoning, which seems to go as follows: first, when we assign a probability to some 127, proposition, reason dictates that we re-evaluate this probability. In particular, reason dictates that we "add a new doubt deriv'd from the possibility of error in the estimation we make of the truth and fidelity of our faculties." Note that Hume never specifies the object of this 'new doubt.' He might mean a) that our doubt concerns whether the probability we assigned the proposition is correct, or b) that our doubt concerns the evidence on which we based the assignment of that probability. Whatever the case, this 'new doubt' must "weaken still further our first evidence," presumably resulting in a lowering of the probability we originally assigned to the proposition. We then repeat this doubting process, adding new doubts of the same kind in infinitum, "till at last there remain nothing of the original... (shrink)

In this paper, I identify the source of the differences between classical logic and many-valued logics (including fuzzy logics) with respect to the set of valid formulas and the set of inferences sanctioned. In the course of doing so, we find the conditions that are individually necessary and jointly sufficient for any many-valued semantics (again including fuzzy logics) to validate exactly the classically valid formulas, while sanctioning exactly the same set of inferences as classical logic. This in turn shows, contrary (...) to what has sometimes been claimed, that at least one class of infinite-valued semantics is axiomatizable. (shrink)

This chapter contains sections titled: Introduction The Theory of Relativity Quantum Theory Conclusion References.

This chapter contains sections titled: What Does Philosophy Have to Do with Science? Philosophical Issues in Scientific Practice Philosophical Issues in Scientific Foundations Conclusion References.

The past twenty or so years have seen the sorites paradox receive a good deal of philosophical air-time. Yet, in what is surely a sign of a good puzzle, no consensus has emerged. It is perhaps a good time to stop and take stock of the current status of the sorites paradox. My main contention is that the proposals offered to date as ways of blocking the paradox are seriously deficient, and hence there is, at present, no acceptable solution to (...) the sorites. In the final section I argue that, although vagueness is the source of the threat to modus ponens engendered by the sorites, it is also vagueness that protects modus ponens from clear counterexample. (shrink)

The past twenty or so years have seen the sorites paradox receive a good deal of philosophical air-time. Yet, in what is surely a sign of a good puzzle, no consensus has emerged. It is perhaps a good time to stop and take stock of the current status of the sorites paradox. My main contention is that the proposals offered to date as ways of blocking the paradox are seriously deficient, and hence there is, at present, no acceptable solution to (...) the sorites. In the final section I argue that, although vagueness is the source of the threat to modus ponens engendered by the sorites, it is also vagueness that protects modus ponens from clear counterexample. (shrink)

The Copernican revolution of the 1500s and 1600s was in large part due to new theories and discoveries, which indicated that the general view of the universe – the more or less Aristotelian, teleological view – was no longer viable. This revolution eventually resulted in a substantially different view on the sort of universe we inhabit. New discoveries in recent years, involving Bell’s theorem, quantum theory, and the outcome of carefully designed and replicated experiments, strongly suggest that the general view (...) of the universe we have had since the Copernican revolution is no longer viable. The main goals of this paper are (i) to present Bell’s theorem and the results of these recent experiments in a way accessible to a non-technical audience, and (ii) to explore the question of whether these new discoveries place us in a similar situation to that of our predecessors in the early years of the 1600s, or roughly, whether we are in the beginning stages of a modern Copernican revolution. (shrink)

In recent years, a number of well-known intentional realists have focused their energy on attempts to provide a naturalized theory of mental representation. What tends to be overlooked, however, is that a naturalized theory of mental representation will not, by itself, salvage intentional realism. Since most naturalistic properties play no interesting causal role, intentional realists must also solve the problem of showing how intentional properties , even if naturalized, could be causally efficacious. Because of certain commitments, this problem is especially (...) difficult for intentional realists such as Fodor. In the current paper I focus on the problem as it arises for such realists, and I argue that the best-known solution proposed to date is inadequate. If what I say is correct, then such intentional realists are left with an additional and substantial problem, and one that has generally not been sufficiently appreciated. (shrink)

The Exchange of Words is a philosophical exploration of human testimony, specifically as a form of intersubjective understanding in which speakers communicate by making themselves accountable for the truth of what they say. This account weaves together themes from philosophy of language, moral psychology, action theory, and epistemology, for a new approach to this basic human phenomenon.

The paper argues for the centrality of believing the speaker (as distinct from believing the statement) in the epistemology of testimony, and develops a line of thought from Angus Ross which claims that in telling someone something, the kind of reason for belief that a speaker presents is of an essentially different kind from ordinary evidence. Investigating the nature of the audience's dependence on the speaker's free assurance leads to a discussion of Grice's formulation of non-natural meaning in an epistemological (...) light, concentrating on just how the recognition of the speaker's self-reflexive intention is supposed to count for his audience as a reason to believe P. This is understood as the speaker's explicitly assuming responsibility for the truth of his statement, and thereby constituting his utterance as a reason to believe. (shrink)

In this volume Rorty offers a Deweyan account of objectivity as intersubjectivity, one that drops claims about universal validity and instead focuses on utility for the purposes of a community. The sense in which the natural sciences are exemplary for inquiry is explicated in terms of the moral virtues of scientific communities rather than in terms of a special scientific method. The volume concludes with reflections on the relation of social democratic politics to philosophy.

Richard Swinburne presents a powerful new case for substance dualism and for libertarian free will. He argues that pure mental events are distinct from physical events and interact with them, and claims that no result from neuroscience or any other science could show that interaction does not take place. Swinburne goes on to argue for agent causation, and claims that it is we, and not our intentions, that cause our brain events. It is metaphysically possible that each of us (...) could acquire a new brain or continue to exist without a brain; and so we are essentially souls. Brain events and conscious events are so different from each other that it would not be possible to establish a scientific theory which would predict what each of us would do in situations of moral conflict. Hence, we should believe that things are as they seem to be: that we make choices independently of the causes which influence us. It follows that we are morally responsible for our actions. (shrink)

Richard Swinburne offers an original treatment of a question at the heart of epistemology: what makes a belief rational, or justified in holding? He maps the rival accounts of philosophers on epistemic justification ("internalist" and "externalist"), arguing that they are really accounts of different concepts. He distinguishes between synchronic justification (justification at a time) and diachronic justification (synchronic justification resulting from adequate investigation)--both internalist and externalist. He also argues that most kinds of justification are worth having because they are (...) indicative of truth; however, it is only justification of internalist kinds that can guide a believer's actions. Swinburne goes on to show the usefulness of the probability calculus in elucidating how empirical evidence makes beliefs probably true. (shrink)

Atheism is a familiar kind of skepticism about religion. Moral error theory is an analogous kind of skepticism about morality, though less well known outside academic circles. Both kinds of skeptic face a "what next?" question: If we have decided that the subject matter (religion/morality) is mistaken, then what should we do with this way of talking and thinking? The natural assumption is that we should abolish the mistaken topic, just as we previously eliminated talk of, say, bodily humors and (...) unicorns. The fictionalist, however, offers a less obvious recommendation. According to the fictionalist, engaging in the topic in question provides pragmatic benefits that do not depend on its truth-in a way roughly analogous to engaging with a novel or a movie. The religious fictionalist maintains that even if we were atheists, we should carry on talking, thinking, and acting as if religion were true. The moral fictionalist maintains a similar view regarding moral talk, thought, and action. Both forms of fictionalism face serious challenges. Some challenges can be levelled at either form of fictionalism (or at any form of fictionalism), whereas others are problems unique to moral fictionalism or to religious fictionalism. There are important questions to be asked about the relationship between these two kinds of fictionalism. Could moral fictionalism be plausible even if religious fictionalism is not (or vice versa)? This is a volume of thirteen previously unpublished papers on the topics of religious fictionalism, moral fictionalism, and the relation between these views. (shrink)

_Heidegger_ is a classic introduction to Heidegger's notoriously difficult work. Truly accessible, it combines clarity of exposition with an authoritative handling of the subject-matter. Richard Polt has written a work that will become the standard text for students looking to understand one of the century's greatest minds.

Philosophy and literature enjoy a close, complex relationship. Elucidating the connections between these two fields, this book examines the ways philosophy deploys literary means to advance its practice, particularly as a way of life that extends beyond literary forms and words into physical deeds, nonlinguistic expression, and subjective moods and feelings.

The sixteen essays in this volume confront the current debate about the relationship between philosophy and its history. On the one hand intellectual historians commonly accuse philosophers of writing bad - anachronistic - history of philosophy, and on the other, philosophers have accused intellectual historians of writing bad - antiquarian - history of philosophy. The essays here address this controversy and ask what purpose the history of philosophy should serve. Part I contains more purely theoretical and methodological discussion, of such (...) questions as whether there are 'timeless' philosophical problems, whether the issues of one epoch are commensurable with those of another, and what style is appropriate to the historiography of the subject. The essays in Part II consider a number of case-histories. They present important revisionist scholarship and original contributions on topics drawn from ancient, early modern and more recent philosophy. All the essays have been specially commissioned, and the contributors include many of the leading figures in the field. The volume as a whole will be of vital interest to everyone concerned with the study of philosophy and of its history. (shrink)

Richard Kilvington s commentary on Aristotle s Nicomachean Ethics (14th century) offers a unique perspective of argumentation by applying concepts and terminology from the fields of logic and physics to ethical dilemmas.".

This classic, provocative introduction to classical metaphysical questions focuses on appreciating the problems, rather than attempting to proffer answers.

This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within mainstream number cognition research, (...) along with the central challenges these views face. Third, it identifies and critically assesses a series of core philosophical assumptions often adopted by number cognition researchers. Finally, the Element articulates and defends a novel version of pluralism about number concepts. (shrink)

This book brings together twenty articles giving a comprehensive view of the work of the Aristotelian commentators.... The importance of the commentators is partly that they represent the thought and classroom teaching of the Aristotelian and Neoplatonist schools and partly that they provide a panorama of a thousand years of anicient Greek philosophy, revealing many original quotations from lost works. Even more significant is the profound influence... that they exert on later philosophy, Islamic and Western. Not only did they preserve (...) anti-Aristotelian marterial which helped inspire Medieval and Renaissance science, but they presented Aristotle in a form that made him acceptable to the Christian Church. It is not Aristotle, but Aristotle transformed and embedded in the philosophy of the commentators, that so often lies behind the views of later thinkers. --From book jacket. (shrink)

In the early 1920s, the German mathematician David Hilbert (1862–1943) put forward a new proposal for the foundation of classical mathematics which has come to be known as Hilbert's Program. It calls for a formalization of all of mathematics in axiomatic form, together with a proof that this axiomatization of mathematics is consistent. The consistency proof itself was to be carried out using only what Hilbert called “finitary” methods. The special epistemological character of finitary reasoning then yields the required justification (...) of classical mathematics. Although Hilbert proposed his program in this form only in 1921, various facets of it are rooted in foundational work of his going back until around 1900, when he first pointed out the necessity of giving a direct consistency proof of analysis. Work on the program progressed significantly in the 1920s with contributions from logicians such as Paul Bernays, Wilhelm Ackermann, John von Neumann, and Jacques Herbrand. It was also a great influence on Kurt Gödel, whose work on the incompleteness theorems were motivated by Hilbert's Program. Gödel's work is generally taken to show that Hilbert's Program cannot be carried out. It has nevertheless continued to be an influential position in the philosophy of mathematics, and, starting with the work of Gerhard Gentzen in the 1930s, work on so-called Relativized Hilbert Programs have been central to the development of proof theory. (shrink)

In his final work, Richard Rorty provides the definitive statement of his political thought. Rorty equates pragmatism with anti-authoritarianism, arguing that because there is no authority we can rely on to ascertain truth, we can only do so intersubjectively. It follows that we must learn to think and care about what others think and care about.

Our existence is increasingly lived at a distance. As we move from flesh to image, we are in danger of losing touch with each other and ourselves. How can we combine the physical with the virtual, our embodied experience with our global connectivity? How can we come back to our senses? Richard Kearney offers a timely call for the cultivation of the basic human need to touch and be touched. He argues that touch is our most primordial sense, foundational (...) to our individual and common selves. Kearney explores the role of touch, from ancient wisdom traditions to modern therapies. He demonstrates that a fundamental aspect of touch is interdependence, its inherently reciprocal nature, which offers a crucial corrective to our fixation with control. Making the case for the complementarity of touch and technology, this book is a passionate plea to recover a tangible sense of community and the joys of life with others. (shrink)

Richard Kilvington (ca. 1302-1361) was one of the most original and influential thinkers among the Oxford Calculators. His impact on late medieval philosophy and theology remains unquestionable. His physical, logical, and ethical solutions were extensively debated and referred to, paving the way for new approaches in philosophy and theology. This volume presents a critical edition of question 4 from Kilvington's Quaestiones super libros Sententiarum, complete with an introduction to the edition and a guide to Kilvington's theological concepts.

Gödel's relation to the work of Plato, Leibniz, Kant, and Husserl is examined, and a new type of platonic rationalism that requires rational intuition, called ...

Frege famously held that numbers play the role of objects in our language and thought, and that this role is on display when we use sentences like "The number of Jupiter's moons is four". I argue that this role is an example of a general pattern that also encompasses persons, times, locations, reasons, causes, and ways of appearing or acting. These things are 'objects' simply in the sense that they are answers to questions: they are the sort of thing we (...) search for and specify during investigation or inquiry. I support this epistemological conception of objects by studying specificational sentences, a class of sentences which includes Frege's original example. I defend an analysis of such sentences as question-answer pairs, and show how to formally represent this analysis using game-theoretical semantics. (shrink)

Studies the politics of Heidegger in terms of "thrownness" or "existential contingency". Attempts to think through Heidegger's philosophy in a manner that parallels his own dialogue with other key western thinkers.

The nature of matter was as intriguing a question for ancient philosophers as it is for contemporary physicists, and Matter, Space, and Motion presents a fresh and illuminating account of the rich legacy of the physical theories of the Greeks from the fifth century B.C. to the late sixth century A.D.