The supertasks described by Perez Laraudogoitia, involving the dynamics of a system containing an infinite number of particles in a bounded region of space, are characterized by the nonconservation of energy and by the spontaneous motion of particles. We argue that these features arise from the inadequacy of the local, particle-by-particle description used to analyze the supertasks. A global analysis, involving embeddings in Hilbert spaces, clarifies these supertasks and avoids what we regard as their nonphysical features.

In two recent papers Perez Laraudogoitia has described a variety of supertasks involving elastic collisions in Newtonian systems containing a denumerably infinite set of particles. He maintains that these various supertasks give examples of systems in which energy is not conserved, particles at rest begin to move spontaneously, particles disappear from a system, and particles are created ex nihilo. An analysis of these supertasks suggests that they involve systems that do not satisfy the mathematical conditions required of Newtonian systems at (...) the time the supertask is due to be completed, or else they rely on the application of the time-reversal transformation to states which are not well-defined. Consequently, it is unjustified to conclude that the paradoxical results are arising from within the framework of Newtonian mechanics. In the last part of this article, we discuss various aspects of the physics of these supertasks. (shrink)

A version of nonstandard analysis, Internal Set Theory, has been used to provide a resolution of Zeno's paradoxes of motion. This resolution is inadequate because the application of Internal Set Theory to the paradoxes requires a model of the world that is not in accordance with either experience or intuition. A model of standard mathematics in which the ordinary real numbers are defined in terms of rational intervals does provide a formalism for understanding the paradoxes. This model suggests that in (...) discussing motion, only intervals, rather than instants, of time are meaningful. The approach presented here reconciles resolutions of the paradoxes based on considering a finite number of acts with those based on analysis of the full infinite set Zeno seems to require. The paper concludes with a brief discussion of the classical and quantum mechanics of performing an infinite number of acts in a finite time. (shrink)

A supertask is a process in which an infinite number of individuated actions are performed in a finite time. A Newtonian supertask is one that obeys Newton's laws of motion. Such supertasks can violate energy and momentum conservation and can exhibit indeterministic behavior. Perez Laraudogoitia, who proposed several Newtonian supertasks, uses a local, i.e., particle-by-particle, analysis to obtain these and other paradoxical properties of Newtonian supertasks. Alper and Bridger use a global analysis, embedding the system of particles in a (...) Banach space, to determine the origin of the strange behavior. This paper provides a common framework for the discussion of both the local and global methods of analysis. Using this single framework, the areas of disagreement and agreement are made explicit. Further examples of supertasks are proposed to illuminate various aspects of the discussion. (shrink)

A supertask is a process in which an infinite number of individuated actions are performed in a finite time. A Newtonian supertask is one that obeys Newton''s laws of motion. Such supertasks can violate energy and momentum conservation and can exhibit indeterministic behavior. Perez Laraudogoitia, who proposed several Newtonian supertasks, uses a local, i.e., particle-by-particle, analysis to obtain these and other paradoxical properties of Newtonian supertasks. Alper and Bridger use a global analysis, embedding the system of particles in a (...) Banach space, to determine the origin of the strange behavior. This paper provides a common framework for the discussion of both the local and global methods of analysis. Using this single framework, the areas of disagreement and agreement are made explicit. Further examples of supertasks are proposed to illuminate various aspects of the discussion. (shrink)

In the “Appendix” to the Treatise, Hume claims that he has discovered a “very considerable” mistake in his earlier discussion of the self. Hume's expression of the problem is notoriously opaque, leading to a vast scholarly debate as to exactly what problem he identified in his earlier account of the self. I propose a new solution to this interpretive puzzle. I argue that a tension generated by Hume's conceptual skepticism about real “principles of union” and his account of fictions of (...) the imagination is the defect identified in the “Appendix.”. (shrink)

The past decade has witnessed a surge of pricing innovations in the U.S. telecommunications industry. This book systematically reviews recent innovations in the economic theory of pricing and extends results to the conditions which characterise telecommunications markets. The implementation of normative pricing theory is examined in selected US telephone tariffs, providing a rich and diverse data base and laboratory for examining the practical consequences of pricing innovations. The authors develop and illuminate the relationships between the normative economic theory of pricing (...) - with its objectives of social welfare, economic efficiency, and fairness - and telecommunications pricing as it is practised by business and regulators. The general theoretical pricing principles and lessons of US pricing experience discussed are directly applicable to telecommunications services in other countries, and to numerous other industries including electricity, gas, rail and air transport, and postal services, as well as economists studying the economic theory of pricing. (shrink)

Hume's Reception in Early America: Expanded Edition brings together the original American responses to one of Britain's greatest men of letters, David Hume. Now available as a single volume paperback, this new edition includes updated further readings suggestions and dozens of additional primary sources gathered together in a completely new concluding section. From complete pamphlets and booklets, to poems, reviews, and letters, to extracts from newspapers, religious magazines and literary and political journals, this book's contents come from a wide variety (...) of sources published in colonial America and the early United States between 1758 and 1850. As well as classics by Thomas Jefferson, John Adams and Alexander Hamilton, it contains scores of unknown and hard-to-locate items, many of which have not been reprinted since their original publication. These responses are divided into four parts covering Hume's Essays; his Philosophical Writings; his History of England; and his Character and Death. Each of those parts has a separate introductory essay, and every selection is introduced by a short headnote that sets the piece in its historical context and provides bibliographical references. Packed with new insights into Hume and American thought and culture, Hume's Reception in Early America reveals the relevance and impact of Hume on American political, philosophical, historical, religious, and aesthetic debates. (shrink)

Prologue, invitation to thinking about God In the Hebrew Bible? -- Part I, questions about God? -- Why does God in the Bible have a body? -- What do God's body parts in the Bible mean? -- Why is God angry in the Bible? -- Does God in the Bible have gender or sexuality? -- Part II, questions about God in the world? -- What can creation tell us about God? -- Who-or what-is the Satan? -- Why do people suffer (...) according to the Hebrew Bible? -- Epilogue, God in the Bible and beyond. (shrink)

Hume’s claim that we project necessity onto objects we take to be causally related has been influential in contemporary discussions of modality, inspiring deflationary accounts of our modal commitments. Hume is commonly understood as holding that modal projection explains our judging that an effect must follow its cause. This misunderstands the role of projection in Hume’s discussions of causation and causal judgement. Projection is a diagnosis of a distinctively philosophical confusion: the commitment to mind-independent necessary connections. In arguing for this, (...) I provide an account of the psychological process that, in Hume’s view, underlies projection. This account resolves problems with Hume’s projectivism identified by his commentators. (shrink)

This paper aims to clarify Locke’s distinction between simple and complex ideas. I argue that Locke accepts what I call the “compositional criterion of simplicity.” According to this criterion, an idea is simple just in case it does not have another idea as a proper part. This criterion is prima facie inconsistent with Locke’s view that there are simple ideas of extension. This objection was presented to Locke by his French translator, Pierre Coste, on behalf of Jean Barbeyrac. Locke responded (...) to Barbeyrac’s objection, but his response, along with a passage from Chapter XV of Book II of the Essay, “Of Duration and Expansion, considered together,” has been taken to show that he did not accept the compositional criterion. I examine these passages and argue that they are not in tension with but rather affirm that criterion. (shrink)

Online data collection methods are expanding the ease and access of developmental research for researchers and participants alike. While its popularity among developmental scientists has soared during the COVID-19 pandemic, its potential goes beyond just a means for safe, socially distanced data collection. In particular, advances in video conferencing software has enabled researchers to engage in face-to-face interactions with participants from nearly any location at any time. Due to the novelty of these methods, however, many researchers still remain uncertain about (...) the differences in available approaches as well as the validity of online methods more broadly. In this article, we aim to address both issues with a focus on moderated data collected using video-conferencing software. First, we review existing approaches for designing and executing moderated online studies with young children. We also present concrete examples of studies that implemented choice and verbal measures and looking time across both in-person and online moderated data collection methods. Direct comparison of the two methods within each study as well as a meta-analysis of all studies suggest that the results from the two methods are comparable, providing empirical support for the validity of moderated online data collection. Finally, we discuss current limitations of online data collection and possible solutions, as well as its potential to increase the accessibility, diversity, and replicability of developmental science. (shrink)

The Molyneux problem is one of the major questions addressed by early modern authors. Whereas Locke’s response to Molyneux’s question has been the subject of extensive scholarly discussion, Leibniz’s response has received comparatively little attention. This paper defends an interpretation of Leibniz’s nuanced response to the problem and criticizes a competing interpretation that has recently been proposed.

That Socrates took himself to possess a divine sign is well attested by ancient sources. Both Plato and Xenophon mention Socrates’ daimonion on numerous occasions. What is problematic for contemporary scholars is that Socrates unfailingly obeys the warnings of his sign. Scholars have worried that Socrates seems to ascribe greater epistemic authority to his sign than his own critical reasoning. Moreover, he never so much as questions the authority of his sign to guide his actions, much less its divine nature. (...) Socrates’ unquestioning obedience to his sign thus appears to be in conflict with another of Socrates’ defining characteristics: namely, his relentless rationality. However, Socrates does not seem to recognize such inconsistency. The problem of the daimonion, then, is this: is Socrates’ professed commitment to rationality consistent with his unquestioning deference to his daimonion’s warnings? And if so, how? In this paper, I first discuss several solutions to the problem of the daimonion. I aim to show that none of the accounts of Socrates’ sign that have appeared in the scholarly literature are adequate. I then propose a new account of the daimonion, which, I argue, secures the rationality of Socrates’ obedience to his divine sign. (shrink)

This paper offers a new way to make sense of disagreement expansion from a polylogical perspective by incorporating various places in addition to players and positions into the analysis. The concepts build on prior implicit ideas about disagreement space by suggesting how to more fully account for argumentative context, and its construction, in large-scale complex controversies. As a basis for our polylogical analysis, we use a New York Times news story reporting on an oil train explosion—a significant point in the (...) broader controversy over producing oil and gas via hydraulic fracturing. (shrink)

First published in 1902, William James's Varieties of Religious Experience is considered a classic in religious studies and the psychology of religion. But how has James's classic study weathered decades of development in psychology and behavioral sciences?

A specific issue for argumentation theory is whether information and communication technologies play any role in governing argument — that is, as parties engage in practical activities across space and time via ICTs, does technology matter for the interplay of argumentative content and process in managing disagreement? The case made here is that technologies do matter because they are not merely conduits of communication but have a role in the pragmatics of communication and argumentation. In particular, ICTs should be recognized (...) as communication-information services that are delegated degrees of responsibility for managing disagreements arising from practical activities. These services are organized around practical theories for designing disagreement space. However, recognizing this relationship between argument and technology requires accounting for procedures, techniques, or rules and speech acts that are not argumentative propositions in any strict sense but that are consequential for what becomes argumentation in any setting. An account about designing disagreement space, grounded in Jackson and Jacobs’s theory of Disagreement Management, is put forward to address these issues while more generally contributing to understanding argument in context. (shrink)

The aim of this article is to demonstrate a methodology that ‘writes across’ the separation between theory and practice. It refers to French feminist writers of the 1970s and 1980s, often categorized under the heading of ‘écriture féminine’, who were concerned with how language operates and with the relationship between language and the formation of the self. The article consists of a short preface introducing a piece of autobiographical writing driving home. The piece brings into collision incidents, objects and time (...) frames in an attempt to dissolve the borders between fact and fiction, personal and impersonal, private and public, poetic writing and analysis. In the act of writing driving home the author also attempts to generate knowledge. driving home searches within the anecdotal and autobiographical for methodological indicators. The how and why of the author’s writing practice run across, over and around each other, acting as short and inconclusive pathways within the investigative structure of the whole. (shrink)

Supertasks recently discussed in the literature purport to display a failure ofenergy conservation and determinism in Newtonian mechanics. We debatewhether these supertasks are admissible as Newtonian systems, with Earmanand Norton defending the affirmative and Alper and Bridger the negative.

It is time to bring the rich resources of these traditions into the contemporary debate about the nature of self. This volume is the first of its kind.

Fitting Attitudes accounts of value analogize or equate being good with being desirable, on the premise that ‘desirable’ means not, ‘able to be desired’, as Mill has been accused of mistakenly assuming, but ‘ought to be desired’, or something similar. The appeal of this idea is visible in the critical reaction to Mill, which generally goes along with his equation of ‘good’ with ‘desirable’ and only balks at the second step, and it crosses broad boundaries in terms of philosophers’ other (...) commitments. For example, Fitting Attitudes accounts play a central role both in T.M. Scanlon’s [1998] case against teleology, and in Michael Smith [2003], [unpublished] and Doug Portmore’s [2007] cases for it. And of course they have a long and distinguished history. (shrink)

Since the 1960s, many artists have incorporated ecological concerns into their work, an endeavor that has required new strategies in art-making. To explore recent American manifestations of these interests, the David and Alfred Smart Museum commissioned new projects from artists Mark Dion, Peter Fend, and Dan Peterman, each focusing on interrelationships between particular organisms—human beings-and a specific group of sites—a museum building, a river landscape, and a university campus. The results, exhibited at the Smart Museum during the summer of (...) 2000, evoke the varied scales, from the microscopic to the global, at which human actions affect the environment. This catalog documents each of the artists' projects through an array of images and words: Smart Museum Associate Curator Stephanie Smith provides an introduction and brief overviews of the three projects, each of the artists contribute statements, and photographers Susan Anderson and Tom van Eynde document—in over 100 images—the processes and projects that comprise the exhibition. (shrink)

A revelatory new theory of consciousness that returns emotions to the center of mental life. For Mark Solms, one of the boldest thinkers in contemporary neuroscience, discovering how consciousness comes about has been a lifetime's quest. Scientists consider it the "hard problem" because it seems an impossible task to understand why we feel a subjective sense of self and how it arises in the brain. Venturing into the elementary physics of life, Solms has now arrived at an astonishing answer. (...) In The Hidden Spring, he brings forward his discovery in accessible language and graspable analogies. Solms is a frank and fearless guide on an extraordinary voyage from the dawn of neuropsychology and psychoanalysis to the cutting edge of contemporary neuroscience, adhering to the medically provable. But he goes beyond other neuroscientists by paying close attention to the subjective experiences of hundreds of neurological patients, many of whom he treated, whose uncanny conversations expose much about the brain's obscure reaches. Most importantly, you will be able to recognize the workings of your own mind for what they really are, including every stray thought, pulse of emotion, and shift of attention. The Hidden Spring will profoundly alter your understanding of your own subjective experience. (shrink)

It is argued here that large-scale organization and networked computing enable new divisions of communicative work aimed at shaping the content, direction, and outcomes of societal conversations. The challenge for argumentation theory and practice lies in attending to these new divisions of communicative work in constituting contemporary argumentative realities. Goffman’s conceptualization of participation frameworks and production formats are applied to articulate the communicative work of organizations afforded by networked computing that invents and innovates argument in all of its senses—as product, (...) process, and procedure. Communicative work, however, may be scaffolding argumentative contexts and practices that are quite different than what has constituted past argumentative realities. The computerization of argument happens as organizations invent and innovate argument practice relative to the demands and opportunities of interorganizational communication. The cases and examples examined here suggest that argument practice is evolving around the logic of conversation and the principle of personalization. The analysis challenges argumentation theory to seriously engage with the construction of communicative contexts and the realization of ideas about disagreement management in organizational practice and information infrastructures. Directions for integrating insights from a design perspective on argument with insights from organizational and information systems theory are proposed for coming to terms with an era of large-scale organization and computerization, in particular the evolution of argument practice, the inscription of argument in the built environment, and the absorption of socio-cultural argument practices by organizations and computation. (shrink)

Bringing together the latest scientific advances and some of the most enduring subtle philosophical puzzles and problems, this book collects original historical and contemporary sources to explore the wide range of issues surrounding the nature of life. Selections ranging from Aristotle and Descartes to Sagan and Dawkins are organised around four broad themes covering classical discussions of life, the origins and extent of natural life, contemporary artificial life creations and the definition and meaning of 'life' in its most general form. (...) Each section is preceded by an extensive introduction connecting the various ideas discussed in individual chapters and providing helpful background material for understanding them. With its interdisciplinary perspective, this fascinating collection is essential reading for scientists and philosophers interested in astrobiology, synthetic biology and the philosophy of life. (shrink)

In this book Timmons defends a metaethical view that exploits certain contextualist themes in philosophy of language and epistemology. He advances what he calls assertoric non-descriptivism, a view that employs semantic contextualism in giving an account of moral discourse. This view, which like traditional non-descriptivist views stresses the practical, action-guiding function of moral thought and discourse, also allows that moral sentences, as typically used, make genuine assertions. Timmons then defends a contextualist moral epistemology thus completing his overall program of contextualism (...) in ethics. (shrink)

forthcoming in reisner and steglich-peterson, eds., Reasons for Belief If I believe, for no good reason, that P and I infer (correctly) from this that Q, I don’t think we want to say that I ‘have’ P as evidence for Q. Only things that I believe (or could believe) rationally, or perhaps, with justification, count as part of the evidence that I have. It seems to me that this is a good reason to include an epistemic acceptability constraint on evidence (...) possessed…1 It is a truism that adopting an unjustified belief does not put you in a better evidential position with respect to believing its consequences. This truism has led many philosophers to assume that there must, at a minimum, be a justification condition (and perhaps even a knowledge condition) on what it takes to count as having evidence. This is the best (or only) possible explanation of the truism, these philosophers have believed. This paper explores an alternative explanation for the truism. According to the alternative explanation that I will offer, unjustified beliefs do not put you in a better evidential position with respect to believing their consequences because any evidence you have in virtue of having an unjustified belief is guaranteed to be defeated. Since the lack of justification for a belief guarantees its defeat, I will suggest, we don't need to postulate a special justification condition (much less a knowledge condition) on what it takes to count as having evidence. Why is this important? It is important because the assumption that there must be a justification condition (or perhaps a knowledge condition) on what it takes to count as having evidence places a high bar on what it takes to have evidence - such a high bar that it is difficult to see how this bar could be met in the case of basic, perceptually justified beliefs. As a result, the high bar set by this condition plays a fundamental role, I will claim, in central features of a core dialectic from the epistemology of basic perceptual belief which plays a central role in the debates between internalism and externalism, foundationalism and coherentism, and rationalism and empiricism.. (shrink)

Scientists have recently discovered a new law of nature. Its footprints are virtually everywhere - in the spread of forest fires, mass extinctions, traffic jams, earthquakes, stock-market fluctuations, the rise and fall of nations, and even trends in fashion, music and art. Wherever we look, the world is modelled on a simple template: like a steep pile of sand, it is poised on the brink of instability, with avalanches - in events, ideas or whatever - following a universal pattern of (...) change. This remarkable discovery heralds what Mark Buchanan calls the new science of 'ubiquity', a science whose secret lies in the stuff of the everyday world. Combining literary flair with scientific rigour, this enthralling book documents the coming revolution by telling the story of the researchers' exploration of the law, their ingenious work and unexpected insights. Mark Buchanan reveals how the principle of ubiquity will help us to manage, control and predict the future. More controversially, he claims that it may well contain the beginnings of a mathematics of cultural and historical change. Every decade sees a major scientific breakthrough that has implications that go way beyond science. 'Ubiquity' is one of them. This book, the world's first on the topic, will change how we think about the world and our place in it. Chaos Disorder from order. Complexity Complexity from simplicity. UBIQUITY World has a natural 'rhythm': there is a mysterious archetypal organisation that works in the world at all levels and which gives rise to a universal pattern of change - in groups of people, things or ideas. (shrink)

A Clearly argued and easy to read defense of Karl Popper's philosophy.

An account of distinctively mathematical explanation (DME) should satisfy three desiderata: it should account for the modal import of some DMEs; it should distinguish uses of mathematics in explanation that are distinctively mathematical from those that are not (Baron [2016]); and it should also account for the directionality of DMEs (Craver and Povich [2017]). Baron’s (forthcoming) deductive-mathematical account, because it is modelled on the deductive-nomological account, is unlikely to satisfy these desiderata. I provide a counterfactual account of DME, the Narrow (...) Ontic Counterfactual Account (NOCA), that can satisfy all three desiderata. NOCA appeals to ontic considerations to account for explanatory asymmetry and ground the relevant counterfactuals. NOCA provides a unification of the causal and the non-causal, the ontic and the modal, by identifying a common core that all explanations share and in virtue of which they are explanatory. (shrink)