In this paper I propose an interpretation of classical statistical mechanics that centers on taking seriously the idea that probability measures represent complete states of statistical mechanical systems. I show how this leads naturally to the idea that the stochasticity of statistical mechanics is associated directly with the observables of the theory rather than with the microstates (as traditional accounts would have it). The usual assumption that microstates are representationally significant in the theory is therefore dispensable, a consequence which suggests (...) interesting possibilities for developing non-equilibrium statistical mechanics and investigating inter-theoretic answers to the foundational questions of statistical mechanics. (shrink)

Readers familiar with the workhorse of cosmology, the hot big bang model, may think that cosmology raises little of interest about time. As cosmological models are just relativistic spacetimes, time is understood just as it is in relativity theory, and all cosmology adds is a few bells and whistles such as inflation and the big bang and no more. The aim of this chapter is to show that this opinion is not completely right...and may well be dead wrong. In our (...) survey, we show how the hot big bang model invites deep questions about the nature of time, how inflationary cosmology has led to interesting new perspectives on time, and how cosmological speculation continues to entertain dramatically different models of time altogether. Together these issues indicate that the philosopher interested in the nature of time would do well to know a little about modern cosmology. (shrink)

I discuss the formal implementation, interpretation, and justification of likelihood attributions in cosmology. I show that likelihood arguments in cosmology suffer from significant conceptual and formal problems that undermine their applicability in this context.

Cosmological inflation is widely considered an integral and empirically successful component of contemporary cosmology. It was originally motivated by its solution of certain so-called fine-tuning problems of the hot big bang model, particularly what are known as the horizon problem and the flatness problem. Although the physics behind these problems is clear enough, the nature of the problems depends on the sense in which the hot big bang model is fine-tuned and how the alleged fine-tuning is problematic. Without clear explications (...) of these, it remains unclear precisely what problems inflationary theory is meant to be solving and whether it does in fact solve them. I analyze the structure of these problems and consider various interpretations that may substantiate the alleged fine-tuning. On the basis of this analysis I argue that at present there is no unproblematic interpretation available for which it can be said that inflation solves the big bang model’s alleged fine-tuning problems. (shrink)

We introduce a novel point of view on the “models as mediators” framework in order to emphasize certain important epistemological questions about models in science which have so far been little investigated. To illustrate how this perspective can help answer these kinds of questions, we explore the use of simplified models in high energy physics research beyond the Standard Model. We show in detail how the construction of simplified models is grounded in the need to mitigate pressing epistemic problems concerning (...) the uncertainty inherent in the present theoretical and experimental contexts. (shrink)

Eliminative reasoning is a method that has been employed in many significant episodes in the history of science. It has also been advocated by some philosophers as an important means for justifying well-established scientific theories. Arguments for how eliminative reasoning is able to do so, however, have generally relied on a too narrow conception of evidence, and have therefore tended to lapse into merely heuristic or pragmatic justifications for their conclusions. This paper shows how a broader conception of evidence not (...) only can supply the needed justification but also illuminates the methodological significance of eliminative reasoning in a variety of contexts. (shrink)

The conspicuous similarities between interpretive strategies in classical statistical mechanics and in quantum mechanics may be grounded on their employment of common implementations of probability. The objective probabilities which represent the underlying stochasticity of these theories can be naturally associated with three of their common formal features: initial conditions, dynamics, and observables. Various well-known interpretations of the two theories line up with particular choices among these three ways of implementing probability. This perspective has significant application to debates on primitive ontology (...) and to the quantum measurement problem. (shrink)

Philosophical debates on how to account for the progress of science have traditionally divided along the realism-anti-realism axis. Relatively recent developments in epistemology, however, have opened up a new knowledge-understanding axis to the debate. This chapter presents a novel understanding-based account of scientific progress that takes its motivation from problem-solving practices in science. Problem-solving is characterized as a means of measuring degree of understanding, which is argued to be the principal epistemic (or cognitive) aim of science, over and against knowledge. (...) This account is then defended against knowledge reductionism by showing how each plays an important and distinctive role in science. (shrink)

I present a recent historical case from cosmology—the story of inflationary cosmology—and on its basis argue that solving explanatory problems is a reliable method for making progress in science. In particular, I claim that the success of inflationary theory at solving its predecessor’s explanatory problems justified the theory epistemically, even in advance of the development of novel predictions from the theory and the later confirmation of those predictions.

I investigate the role of stability in cosmology through two episodes from the recent history of cosmology: Einstein’s static universe and Eddington’s demonstration of its instability, and the flatness problem of the hot big bang model and its claimed solution by inflationary theory. These episodes illustrate differing reactions to instability in cosmological models, both positive ones and negative ones. To provide some context to these reactions, I also situate them in relation to perspectives on stability from dynamical systems theory and (...) its epistemology. This reveals, for example, an insistence on stability as an extreme position in relation to the spectrum of physical systems which exhibit degrees of stability and fragility, one which has a pragmatic rationale, but not any deeper one. (shrink)

The impetus theory of motion states that to be in motion is to have a non-zero velocity. The at-at theory of motion states that to be in motion is to be at different places at different times, which in classical physics is naturally understood as the reduction of velocities to position developments. I first defend the at-at theory against the criticism raised by Arntzenius that it renders determinism impossible. I then develop a novel impetus theory of motion that reduces positions (...) to velocity developments. As this impetus theory of motion is by construction a mirror image of the at-at theory of motion, I claim that the two theories of motion are in fact epistemically on par—despite the unfamiliar metaphysical picture of the world furnished by the impetus version. (shrink)

Several physicists, among them Hawking, Page, Coule, and Carroll, have argued against the probabilistic intuitions underlying fine-tuning arguments in cosmology and instead propose that the canonical measure on the phase space of Friedman-Robertson-Walker space-times should be used to evaluate fine-tuning. They claim that flat space-times in this set are actually typical on this natural measure and that therefore the flatness problem is illusory. I argue that they misinterpret typicality in this phase space and, moreover, that no conclusion can be drawn (...) at all about the flatness problem by using the canonical measure alone. (shrink)

Several philosophers have developed accounts to dissolve the apparent conflict between deterministic laws of nature and objective chances. These philosophers advocate the compatibility of determinism and chance. I argue that determinism and chance are incompatible and criticize the various notions of “deterministic chance” supplied by the compatibilists. Many of the compatibilists are strongly motivated by scientific theories where objective probabilities are combined with deterministic laws, the most salient of which is classical statistical mechanics. I show that, properly interpreted, statistical mechanics (...) is either an indeterministic theory or else its probabilities are not chances, just as incompatibilism demands. (shrink)

Hermann Weyl was one of the most important figures involved in the early elaboration of the general theory of relativity and its fundamentally geometrical spacetime picture of the world. Weyl’s development of “pure infinitesimal geometry” out of relativity theory was the basis of his remarkable attempt at unifying gravitation and electromagnetism. Many interpreters have focused primarily on Weyl’s philosophical influences, especially the influence of Husserl’s transcendental phenomenology, as the motivation for these efforts. In this article, I argue both that these (...) efforts are most naturally understood as an outgrowth of the distinctive mathematical-physical tradition in Göttingen and also that phenomenology has little to no constructive role to play in them. (shrink)

In a world awash in statistical patterns, should we conclude that the universe’s evolution or genesis is somehow subject to chance? I draw attention to alternatives that must be acknowledged if we are to have an adequate assessment of what chance the universe might have had.

Several authors have claimed that prediction is essentially impossible in the general theory of relativity, the case being particularly strong, it is said, when one fully considers the epistemic predicament of the observer. Each of these claims rests on the support of an underdetermination argument and a particular interpretation of the concept of prediction. I argue that these underdetermination arguments fail and depend on an implausible explication of prediction in the theory. The technical results adduced in these arguments can be (...) related to certain epistemic issues, but can only be misleadingly or mistakenly characterized as related to prediction. (shrink)

We argue that the epistemic functions of replication in science are best understood by their role in assessing kinds of experimental error. Direct replications serve to assess the reliability of an experiment through its precision: the presence and degree of random error. Conceptual replications serve to assess the validity of an experiment through its accuracy: the presence and degree of systematic errors. To illustrate the aptness of this view, we examine the Hubble constant controversy in astronomy, showing how astronomers have (...) responded to the concordances and discordances in their results by carrying out the different kinds of replication that we identify, with the aim of establishing a precise, accurate value for the Hubble constant. We contrast our view with Machery’s “re-sampling” account of replicability, which maintains that replications only assess reliability. (shrink)

For a computable structure A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal{A}}$$\end{document}, there may not be a computable infinitary Scott sentence. When there is a computable infinitary Scott sentence φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varphi}$$\end{document}, then the complexity of the index set I\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${I}$$\end{document} is bounded by that of φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varphi}$$\end{document}. There are results giving “optimal” Scott sentences for (...) structures of various familiar kinds. These results have been driven by the thesis that the complexity of the index set should match that of an optimal Scott sentence. In this note, it is shown that the thesis does not always hold. For a certain subgroup of Q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Q}}$$\end{document}, there is no computable d-Σ2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Sigma_2}$$\end{document} Scott sentence, even though the index set is d-Σ20\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Sigma^0_2}$$\end{document}. (shrink)

Aristotle on Practical Wisdom is the first full-scale commentary on Nicomachean Ethics VI to be issued in a century, and the most illuminating ever. A meticulous translation with facing-page analysis enables readers to engage directly with Aristotle's account, while the lucid introduction locates it in the context of his—and later—ethical thought.

_Rhetoric_ is the sixth volume in The New Hackett Aristotle series, a series featuring translations, with Introductions and Notes, by C. D. C. Reeve, Delta Kappa Epsilon Distinguished Professor of Philosophy at The University of North Carolina at Chapel Hill. The series will eventually include all of Aristotle's works.

This book shows you what it is like to think along with Aristotle and helps you to see the universe and our place in it as he thought they had to be seen to be scientifically intelligible. As a portrait is composed of colors and shapes that collectively represent someone, so Aristotles works are composed of arguments that collectively represent the causal structure of the universe, from the stones, plants, and animals around us to the starry heavens above and the (...) god beyond them. The aim of this brief immersion is to guide you through those arguments in a way that lets you understand for yourself why they proceed as they do and end where they do."--Publisher. (shrink)

This book explores 'nothingness', the negative way found in Buddhist and Christian traditions, with a focused and comparative approach. It examines the works of Nagarjuna (c. 150 CE), a Buddhist monk, philosopher and one of the greatest thinkers of classical India, and those of John of the Cross (1542-1591), a Carmelite monk, outstanding Spanish poet, and one of the greatest mystical theologians. The conception of nothingness in both the thinkers points to a paradox of linguistic transcendence and provides a novel (...) insight into via negativa. This is the first full-length work comparing nothingness (emptiness) in Nagarjuna (Mahayana Buddhism) and John of the Cross (Christianity) in any language. It augments the comparative approach found in Buddhist-Christian comparative philosophy and theology. This book is of especial interest to academics of Buddhist and Christian studies searching for avenues for intellectual dialogue. (shrink)

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

I examine the status of Aristotle’s science of soul and argue that it is trans-generic in the way that Aristotle's universal mathematics is. For just as the branches of the latter differ considerably, so too do the sciences of life: botany, zoology, psychology, and (in Aristotle’s view) astronomy and theology. Discovering the correct definition of soul, which is their starting point or first principle, as with other scientific starting points, involves both induction and dialectic. Induction uses scientific observation of living (...) things to move toward this starting point. Dialectic enables the scientist to assemble endoxa, or reputable beliefs, that allow us to solve each puzzle (aporia) that clouds our understanding (nous) of the starting point that induction enables us to reach. (shrink)

Reeve's classic work provides an interpretation of Republic that makes a case for the coherence of Plato's argument.

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

This book is an exploration of the epistemological, metaphysical, and psychological foundations of the Nicomachean Ethics. In a striking reversal of current orthodoxy, Reeve argues that scientific knowledge (episteme) is possible in ethics, that dialectic and understanding (nous) play essentially the same role in ethics as in an Aristotelian science, and that the distinctive role of practical wisdom (phronesis) is to use the knowledge of universals provided by science, dialectic, and understanding so as to best promote happiness (eudaimonia) in particular (...) circumstances and to ensure a happy life. Turning to happiness itself, Reeves develops a new account of Aristotle's views on ends and functions, exposing their twofold nature. He argues that the activation of theoretical wisdom is primary happiness, and that the activation of practical wisdom--when it is for the sake of primary happiness--is happiness of a secondary kind. He concludes with an account of the virtues of character, external goods, and friends, and their place in the happy life. (shrink)

"Reeve's book is an excellent companion to Plato's Apology and a valuable discussion of many of the main issues that arise in the early dialogues. Reeve is an extremely careful reader of texts, and his familiarity with the legal and cultural background of Socrates' trial allows him to correct many common misunderstandings of that event. In addition, he integrates his reading of the apology with a sophisticated discussion of Socrates' philosophy. The writing is clear and succinct, and the research is (...) informed by a thorough acquaintance with the secondary literature. Reeve's book will be accessible to any serious undergraduate, but it is also a work that will have to be taken into account by every scholar doing advanced research on Socrates." --Richard Kraut, Northwestern University. (shrink)

The transmission of form and soul -- Desire, perception, and understanding -- Theoretical wisdom -- Virtue of character -- Practical wisdom -- Immortalizing beings -- Happiness -- The happiest life.

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

I will begin this paper by stating in rough outline what I consider to be the relevance of psychical research to philosophy, and I shall devote the rest of it to developing this preliminary statement in detail.

This book, first published in 1975, provides critical and comprehensive introduction to the philosophy of Leibniz.

"It is... remarkable that Reeve's is the first new English translation since Fowler's Loeb edition of 1926. Fortunately, Reeve has done an excellent job. His version is not slavishly literal but is in general very accurate. It is also very clear and readable. Reeve is particularly to be congratulated for having produced versions of some of the more torturous passages, which are not only faithful to the text but also make good sense in English. The long and detailed introduction is (...) worth reading in its own right." --R. F. Stalley, _The Classical Review_. (shrink)

C. D. C. Reeve develops a powerful new account of the age-old argument over whether the just are happier than the unjust, drawing from a new understanding of Plato's conception of philosophy.

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.