In the context of discussions about the nature of ‘identical particles’ and the status of Leibniz’s Principle of the Identity of Indiscernibles in Quantum Mechanics, a novel kind of physical discernibility has recently been proposed, which we call witness-discernibility. We inquire into how witness-discernibility relates to known kinds of discernibility. Our conclusion will be that for a wide variety of cases, including the intended quantum-mechanical ones, witness-discernibility collapses extensionally to absolute discernibility, that is, to discernibility by properties.

When people deny that there are objects of a certain kind, they normally take this to be a reason to stop speaking as if such objects existed. For instance, when atheists deny the existence of God, they take this to be a reason to stop speaking about God’s will or His mercy. Or, to take a more mundane example, when people deny that there are round squares or that there are unicorns, they take this to be a reason to stop (...) speaking as if rounds squares or unicorns existed. (shrink)

My thesis discusses the unique challenge that platonistic mathematics poses to philosophical naturalism. It has two main parts. ;The first part discusses the three most important approaches to my problem found in the literature: First, W. V. Quine's holistic empiricist defense of mathematical platonism; then, the nominalists' argument that mathematical platonism is naturalistically unacceptable; and finally, a radical form of naturalism, due to John Burgess and Penelope Maddy, which dismisses any philosophical criticism of a successful science such as mathematics. I (...) find faults with all of these approaches. ;The second part attempts to do better. First, I develop an improved epistemological challenge to mathematical platonism. Roughly, this challenge asks for an account of what mathematicians' justification for believing in platonistic mathematics consists in. I argue this challenge is immune to the criticism I leveled against the traditional challenges. To show that it has bite, I apply this challenge to Quine's philosophy of mathematics. I argue this shows that Quine must invoke, in addition to his confirmational holism, a semantic indeterminacy thesis that is so radical as to be implausible. Finally, I attempt to develop a better response to the improved challenge. I defend an unorthodox view of the concept of an object and argue this makes room for a neo-Dedekindian view of mathematical objects which identifies mathematical existence with the logical coherence of the theory describing the structure in question. This view transforms metaphysical and epistemological questions about mathematical objects into corresponding, but more tractable questions about the logical notion of coherence. (shrink)

Is the natural number 3 identical with the Roman emperor Julius Caesar? In Grundlagen Frege raised some peculiar questions of this sort.1 There are two kinds of intuitions regarding such questions. On the one hand, these questions seem not only to be pointless but to be downright meaningless. Regardless of how much arithmetic one studies, no answer to the opening question will be forthcoming. Arithmetic tells us that 3 is the successor of 2 and that it is prime, but not (...) whether it is identical with Caesar. So questions concerning the identity of numbers and people seem not to be provided for. On the other hand, it seems that the opening question must be answered negatively. For numbers are not the sorts of things that can be identical with people. In fact, since the number 3 is an abstract object and Caesar is not, it follows by Leibniz’s law that they are not identical. (shrink)

This is the second edition of an important introduction to Leibniz's philosophy of logic and language first published in 1972. It takes issue with several traditional interpretations of Leibniz (by Russell amongst others) while revealing how Leibniz's thought is related to issues of great interest in current logical theory. For this new edition, the author has added new chapters on infinitesimals and conditionals as well as taking account of reviews of the first edition.

Theories of understanding and of language use cannot be detached from theories of truth and reference as many have recently attempted to say. Wittgenstein's early picture theory and his theory of reference {Bedeutung) is part and parcel of his view on understanding meaningful sentences {Sätze), and the use of expressions. His later theory of meaning as use of expressions is inseparable from his view on what kind of objects these expressions refer to. As logical analysis is a quest for definiteness (...) of sense and is not reductionism, not all objects of the Tractatus are of one kind. Singular propositions have no privileged role in linking language to the world. Understanding propositions with proper names or with demonstratives imply understanding of general propositions. This does not entail a definite description view of the sense of proper names. It does suggest that demonstrative pronouns are often not used anaphorically and never purely ostensively. (shrink)

Theories of understanding and of language use cannot be detached from theories of truth and reference as many have recently attempted to say. Wittgenstein's early picture theory and his theory of reference {Bedeutung) is part and parcel of his view on understanding meaningful sentences {Sätze), and the use of expressions. His later theory of meaning as use of expressions is inseparable from his view on what kind of objects these expressions refer to. As logical analysis is a quest for definiteness (...) of sense and is not reductionism, not all objects of the Tractatus are of one kind. Singular propositions have no privileged role in linking language to the world. Understanding propositions with proper names or with demonstratives imply understanding of general propositions. This does not entail a definite description view of the sense of proper names. It does suggest that demonstrative pronouns are often not used anaphorically and never purely ostensively. (shrink)

Any interesting philosopher’s thoughts contain many prima facie mutually contradicting ideas. Especially if a thinker philosophizes intensely on an extremely wide area of enquiry over a long period, as is the case with Leibniz, advancing many views on each problem, often shifting his position, especially in the context of exchanges of opinions in letters, developing his views without necessarily tying up loose ends, and if in addition the thinker only publishes a minute portion of what he has written, it would (...) be strange, even grotesque, if his writings did not contain conflicting and contradictory strands. What is philosophically interesting, is not so much tracing the exact time of the changes, worthy and difficult as the detective work of historical scholarship involved may be, but realising, through such investigation, the depth and multiple facets of the issue that troubled the philosopher and led him to assert or hold on to those contradictory pairs or groups of ideas. We are sometimes made to realize that the issues throw light on problems that still puzzle us today. (shrink)

A research biobank is a collection of personal health and lifestyle information, including genetic samples of yet unknown but possibly large information potential about the participant. For the participants, the risk of taking part is not bodily harm but infringements of their privacy and the harmful consequences such infringements might have. But what do we mean by privacy? Which harms are we talking about? To address such questions we need to get a grip on what privacy is all about and (...) aim for a fruitful perspective on the issues of property and privacy rights in the context of biobanking. This paper argues that the limits and handling of private matters is determined in specific social relations. The crucial point is thus to determine which information and activities are or are not the legitimate concern of others. Privacy and property rights should be seen as balanced by duties, that is as inherently relational interests extending into the public sphere, rather than to see these rights as the control of an object—for instance the participant’s biobank material. (shrink)

In order to understand the thoughts of Leibniz it is important to stop putting Leibniz into the convenient pigeon-hole of rationalist, and stop thinking of him merely as the metaphysician and constructor of systems so vividly ridiculed by Voltaire in Candide . Most important of all, one should not attempt to see Leibniz's philosophy as a completely articulated and integrated whole or as built on three or five metaphysical and logical principles. It is better to remember that Leibniz was a (...) very prolific writer, who was interested in the most varied aspects of philosophy, logic, mathematics, natural science, jurisprudence, history and philology: a man who was constantly trying to work out a large number of heterogeneous theories and thoughts. The collected editions of his writings make up more than twenty thick volumes, and these hardly exhaust his manuscripts. Yet this was a man who published only one book in his lifetime. (shrink)

From its earliest beginnings in the 1840s up to its democratization as a widespread leisure pursuit, photography was swept along by a tide of artistic and entrepreneurial activity that gathered pace throughout the nineteenth century. Both as an art form and a social document, the photograph quickly took on a critical role as the primary means of visual expression in the modern age. Points of View brings together, for the first time, a selection of images from the British Library’s unique (...) photography collections, examining the history, diversity, and influence of the medium from its invention and early years up until the coming of the twentieth century. Beginning with the work of William Henry Fox Talbot and including some of our most celebrated photographic pioneers—Francis Frith, Felix Teynard, Samuel Bourne, and Peter Henry Emerson among them—this volume focuses on the question Who was taking the photograph and why? Ultimately the answer is found in the rise of mass market interest, the increasing role of technology, and the emergence of this thrilling new discipline amid rapid scientific, social, and industrial progress. (shrink)

Quantum mechanics tells us that states involving indistinguishable fermions must be antisymmetrized. This is often taken to mean that indistinguishable fermions are always entangled. We consider several notions of entanglement and argue that on the best of them, indistinguishable fermions are not always entangled. We also present a simple but unconventional way of representing fermionic states that allows us to maintain a link between entanglement and non-factorizability.

Open Education explores the disruption of the traditional university as a result of the increasingly widespread provision of free online open education.

The age of information, media, and virtuality is transforming every aspect of human experience. Questions that have long haunted the philosophical imagination are becoming urgent practical concerns: Where does the natural end and the artificial begin? Is there a difference between the material and the immaterial? In his new work, Mark C. Taylor extends his ongoing investigation of postmodern worlds by critically examining a wide range of contemporary cultural practices. Nothing defines postmodernism so well as its refusal of depth, its (...) emphasis on appearance and spectacle, its tendency to collapse a three-dimensional world in which image and reality are distinct into a two-dimensional world in which they merge. The postmodern world, Taylor argues, is a world of surfaces, and the postmodern condition is one of profound superficiality. For many cultural commentators, postmodernism's inescapable play of surfaces is cause for despair. Taylor, on the other hand, shows that the disappearance of depth in postmodern culture is actually a liberation repleat with creative possibilities. Taylor introduces readers to a popular culture in which detectives--the postmodern heroes of Paul Auster and Dennis Potter--lift surfaces only to find more surfaces, and in which fashion advertising plays transparency against hiding. Taylor looks at the contemporary preoccupation with body piercing and tattooing, and asks whether these practices actually reveal or conceal. Phrenology and skin diseases, the "religious" architecture of Las Vegas, the limitless spread of computer networks--all are brought within the scope of Taylor's brilliant analysis. Postmodernism, he shows, has given us a new sense of the superficial, one in which the issue is not the absence of meaning but its uncontrollable, ecstatic proliferation. Embodying the very tendencies it analyzes, Hiding is unique. Conceived and developed with well-known designers Michael Rock and Susan Sellars, this work transgresses the boundary that customarily separates graphic design from the story within a text. The product of nearly three decades of reflection and writing, Hiding opens a window on contemporary culture. To follow the remarkable course Taylor charts is to see both our present and past differently and to encounter a future as disorienting as it is alluring. (shrink)

Presents wide-ranging and up-to-date interpretations of the Zhuangzi, the Daoist classic and one of the most elusive works ever written.

Should laws about sex and pornography be based on social conventions about what is disgusting? Should felons be required to display bumper stickers or wear T-shirts that announce their crimes? This powerful and elegantly written book, by one of America's most influential philosophers, presents a critique of the role that shame and disgust play in our individual and social lives and, in particular, in the law.Martha Nussbaum argues that we should be wary of these emotions because they are associated in (...) troubling ways with a desire to hide from our humanity, embodying an unrealistic and sometimes pathological wish to be invulnerable. Nussbaum argues that the thought-content of disgust embodies "magical ideas of contamination, and impossible aspirations to purity that are just not in line with human life as we know it." She argues that disgust should never be the basis for criminalizing an act, or play either the aggravating or the mitigating role in criminal law it currently does. She writes that we should be similarly suspicious of what she calls "primitive shame," a shame "at the very fact of human imperfection," and she is harshly critical of the role that such shame plays in certain punishments.Drawing on an extraordinarily rich variety of philosophical, psychological, and historical references--from Aristotle and Freud to Nazi ideas about purity--and on legal examples as diverse as the trials of Oscar Wilde and the Martha Stewart insider trading case, this is a major work of legal and moral philosophy. (shrink)