Suppose two players wish to divide a finite set of indivisible items, over which each distributes a specified number of points. Assuming the utility of a player’s bundle is the sum of the points it assigns to the items it contains, we analyze what divisions are fair. We show that if there is an envy-free (EF) allocation of the items, two other desirable properties—Pareto-optimality (PO) and Maximinality (MM)—can also be satisfied, rendering these three properties compatible. But there may be no (...) EF division, in which case some division must satisfy a modification of Bentham’s (1789/2017) “greatest satisfaction of the greatest number” property, called maximum Nash welfare (MNW), that satisfies PO. However, an MNF division may be neither MM nor EFX, which is a weaker form of EF. We conjecture that there is always an EFX allocation that satisfies MM, ensuring that an allocation is maximin, precisely the property that Rawls (1971/1999) championed. We discuss four broader philosophical implications of our more technical analysis. (shrink)

Deterrence means threatening to retaliate against an attack in order to deter it in the first place. The central problem with a policy of deterrence is that the threat of retaliation may not be credible if retaliation leads to a worse outcome - perhaps a nuclear holocaust - than a side would suffer from absorbing a limited first strike and not retaliating. - The optimality of deterrence is analyzed by means of a Deterrence Game based on Chicken, in which each (...) player chooses a probability (or level) of preemption, and of retaliation if preempted. The Nash equilibria, or stable outcomes, in this game are compared with those in a Star Wars Game, in which the preemption and retaliation levels are constrained by the defensive capabilities of each side. Unlike threats in the Deterrence Game, which can always stabilize the cooperative outcome, mutual preemption emerges as an equilibrium in the Star Wars Game, underscoring the problem - particularly if defensive capabilities are unbalanced - that deterrence will be subverted by the development of Star Wars. (shrink)

Issues that arise in using game theory to model national security problems are discussed, including positing nation-states as players, assuming that their decision makers act rationally and possess complete information, and modeling certain conflicts as two-person games. A generic two-person game called the Conflict Game, which captures strategic features of such variable-sum games as Chicken and Prisoners'' Dilemma, is then analyzed. Unlike these classical games, however, the Conflict Game is a two-stage game in which each player can threaten to retaliate (...) — and carry out this threat in the second stage — if its opponent chose noncooperation in the first stage.Conditions for the existence of different pure-strategy Nash equilibria, or stable outcomes, are found, and these results are extended to situations in which the players can select mixed strategies (i.e., make probabilistic threats or choices). Although the Conflict Game sheds light on the rational foundations underlying arms races, nuclear deterrence, and other strategic situations, more detailed assumptions are required to tie this generic game to specific conflicts. (shrink)

Chambliss, J. J. The guardian, Plato.--Proussis, C. M. The orator, Isocrates.--Rexine, J. E. The Stoic, Zeno.--Kibre, P. The Christian, Augustine.--Donohue, J. W. The Scholastic, Aquinas.--Schacht, F. E. The classical humanist, Erasmus.--Clauser, J. K. The pansophist, Comenius.--Benne, K. D. The gentleman, Locke.--Ballinger, S. E. The natural man, Rousseau.--Bibby, C. The scientific humanist, Huxley.--Nyberg, P. The communal man, Marx.--Holmes, B. The reflective man, Dewey.--Bantock, G. H. The cultured man, Eliot.--Friedman, M. The existential man, Buber.--Aschner, M. J. M. The planned man, Skinner.

The guardian: Plato, by J. J. Champbliss.--The orator: Isocrates, by C. M. Proussis.--The Stoic: Zeno, by J. E. Rexine.--The Christian: Augustine, by P. Kibre.--The Scholastic: Aqkuinas, by J. W. Donohue.--The classical humanist: Erasmus, by F. E. Schacht.--The pansophist: Comenius, by J. K. Clauser.--The gentleman: Locke, by K. D. Benne.--The natural man: Rousseau, by S. E. Ballinger.--The scientific humanist: Huxley, by C. Bibby.--The communal man: Marx, by P. Nyberg.--The reflective man: Dewey, by B. Holmes.--The cultured man: Eliot, by G. H. Bantock.--The (...) existential man: Buber, by M. Friedman.--The planned man: Skinner, by M. J. M. Aschner. (shrink)

Evolutionary game theoretic accounts of justice attempt to explain our willingness to follow certain principles of justice by appealing to robustness properties possessed by those principles. Skyrms (1996) offers one sketch of how such an account might go for divide-the-dollar, the simplest version of the Nash bargaining game, using the replicator dynamics of Taylor and Jonker (1978). In a recent article, D'Arms et al. (1998) criticize his account and describe a model which, they allege, undermines his theory. I sketch (...) a theory of evolutionary explanations of justice which avoids their methodological criticisms, and develop a spatial model of divide-the-dollar with more robust convergence properties than the models of Skyrms (1996) and D'Arms et al. (1998). (shrink)

A repulsive core force is derived which, assuming π mesons are the field particles, gives binding energies in good agreement with binding energies per nucleon of heavy nuclei. The physical model consists of a field of relatively short range, in which emission of a π meson by a nucleon and subsequent absorption by a neighboring nucleon is equivalent to a potential well. The binding energy at the equilibrium spacing of the nucleons is the self-energy of the π mesons, which is (...) calculated by analogy with classical electric fields. (shrink)

Scientists and laypeople alike use the sense of understanding that an explanation conveys as a cue to good or correct explanation. Although the occurrence of this sense or feeling of understanding is neither necessary nor sufficient for good explanation, it does drive judgments of the plausibility and, ultimately, the acceptability, of an explanation. This paper presents evidence that the sense of understanding is in part the routine consequence of two well-documented biases in cognitive psychology: overconfidence and hindsight. In light of (...) the prevalence of counterfeit understanding in the history of science, I argue that many forms of cognitive achievement do not involve a sense of understanding, and that only the truth or accuracy of an explanation make the sense of understanding a valid cue to genuine understanding. (shrink)

This paper examines narrativism’s claim that the historical past cannot be known once and for all because it must be continuously re-described from the standpoint of the present. We argue that this claim is based on a non sequitur. We take narrativism’s claim that the past must be re-described continuously from the perspective of the present to be the result of the following train of thought: 1) “all knowledge is conceptually mediated”; 2) “the conceptual framework through which knowledge of reality (...) is mediated changes with every new generation of historians”; therefore (narrativism’s claim) “the historical past changes with every new generation of historians”. The idea of an unchanging past, for the narrativist, requires denying premise 1 (all knowledge is conceptually mediated”) and therefore rests on a problematic commitment to the chimerical notion of the past as it is in-itself, wie es eigentlich gewesen. We argue that the narrativist’s conclusion does not follow unless one adds a further premise, namely 3) “it is not possible to view reality through the categorial framework of historical agents”. If one asserts the possibility of grasping reality through the categorial framework of others, be they contemporary or past agents (as much philosophy of history written in an idealist key does), then one no longer has to accept the narrativist’s inference that since the past cannot be known in-itself or independently of conceptual mediation, then it cannot be known as it always was for the historical agents. Narrativism’s inference that the past cannot be known as it always was does not follow from premises 1 and 2 unless one smuggles in another problematic premise, premise 3. In this paper we defend the claim that the past can be known as it always was (not as it is in-itself) by invoking a different conception of the role of conceptual mediation in historical knowledge, one which assumes the possibility of viewing reality through the categorial framework of others. This notion of the role of conceptual mediation in historical knowledge is prevalent in the idealist tradition but, in the interest of brevity, we will defend this notion of mediacy by specific reference to the idealist philosophy of R.G. Collingwood. (shrink)

Philosophers agree that scientific explanations aim to produce understanding, and that good ones succeed in this aim. But few seriously consider what understanding is, or what the cues are when we have it. If it is a psychological state or process, describing its specific nature is the job of psychological theorizing. This article examines the role of understanding in scientific explanation. It warns that the seductive, phenomenological sense of understanding is often, but mistakenly, viewed as a cue of genuine understanding. (...) The article closes with a discussion of several new paths of research that tie the psychology of scientific explanation to cognate notions of learning, testimony, and understanding. (shrink)

At some distance from a high-rate source in an elastic half-space, the dominant wave motion at the free surface is a Rayleigh surface wave. The calculation of surface waves generated by a concentrated force in a half-space is a basic problem in elastodynamics. By straightforward manipulations, the result can be used to obtain surface waves for other kinds of wave-generating body-force arrangements. For example, appropriate combinations of double-forces (or dipoles) can be used to represent the surface loading due to laser (...) irradiation, or due to acoustic emission from the opening of a sub-surface crack or from sliding over a fault surface. The surface wave motion is usually obtained by the application of integral transform techniques and the subsequent extraction of the surface waves as the contributions from poles in the integral for the inverse transform. In this paper, we use a much simpler approach based on the elastodynamic reciprocity theorem. We consider a transversely isotropic solid whose axis of symmetry is normal to the surface of the half-space. Surface wave pulses generated by a single force, by irradiation from a laser source, and by opening of a crack, have been determined. (shrink)

There is now a considerable literature on Michel Foucault but this is the first monograph which explicitly addresses his influence and impact upon education. Personal autonomy has been seen as a major aim, if not the aim of liberal education. But if Foucault is correct that personal autonomy and the notion of the autonomous person are myths, then the pursuit of such an aim by educationalists is misguided. The author develops this critique of personal autonomy and liberal education from the (...) writings of Foucault, and also considers Foucault's own educational practices. The author, James Marshall, who lives in New Zealand, has already written several articles for academic journals on Foucault. (shrink)

A fresh, daring, and genuine alternative to the traditional story of scientific progress Explaining the world around us, and the life within it, is one of the most uniquely human drives, and the most celebrated activity of science. Good explanations are what provide accurate causal accounts of the things we wonder at, but explanation's earthly origins haven't grounded it: we have used it to account for the grandest and most wondrous mysteries in the natural world. Explanations give us a sense (...) of understanding, but an explanation that feels right doesn't mean it is true. For every true explanation, there is a false one that feels just as good. A good theory's explanations, though, have a much easier path to truth. This push for good explanations elevated science from medieval alchemy to electro-chemistry, or a pre-inertial physics to the forces underlying nanoparticles. And though the attempt to explain has existed as long as we have been able to wonder, a science timeline from pre-history to the present will reveal a steep curve of theoretical discovery that explodes around 1600, primarily in the West. Ranging over neuroscience, psychology, history, and policy, Wondrous Truths answers two fundamental questions-Why did science progress in the West? And why so quickly? J.D. Trout's answers are surprising. His central idea is that Western science rose above all others because it hit upon successive theories that were approximately true through an awkward assortment of accident and luck, geography and personal idiosyncrasy. Of course, intellectual ingenuity partially accounts for this persistent drive forward. But so too does the persistence of the objects of wonder. Wondrous Truths recovers the majesty of science, and provides a startling new look at the grand sweep of its biggest ideas. (shrink)

Scientific realism has been advanced as an interpretation of the natural sciences but never the behavioral sciences. This book introduces a novel version of scientific realism, Measured Realism, that characterizes the kind of theoretical progress in the social and psychological sciences that is uneven but indisputable. It proposes a theory of measurement, Population-Guided Estimation, that connects natural, psychological, and social scientific inquiry. Presenting quantitative methods in the behavioral sciences as at once successful and regulated by the world, the book will (...) engage philosophers of science, historians of science, sociologists of science, and scientists interested in the foundations of their own disciplines. Part I introduces measured realism beginning with a novel realist theory of measurement (Population-Guided Estimation, or PGE). It examines two other versions of scientific realism — minimal (Hacking) and robust (Boyd, Putnam, and Newton-Smith) — and advances measured realism as best supported by the evidence in the behavioral sciences. It also critically evaluates the anti-realist arguments of van Fraassen, Laudan, and Fine. Part II formulates and develops a version of epistemological naturalism most appropriate to measured realism. Drawing upon the realist theory of measurement developed earlier, it favorably appraises a variety of statistical methods in the behavioral sciences against selected criticisms. It concludes that traditional, narrative methods in the behavioral and social sciences are unreliable by the measures of epistemological naturalism. (shrink)

Bayesian probabilistic explication of inductive inference conflates neutrality of supporting evidence for some hypothesis H ("not supporting H") with disfavoring evidence ("supporting not-H"). This expressive inadequacy leads to spurious results that are artifacts of a poor choice of inductive logic. I illustrate how such artifacts have arisen in simple inductive inferences in cosmology. In the inductive disjunctive fallacy, neutral support for many possibilities is spuriously converted into strong support for their disjunction. The Bayesian "doomsday argument" is shown to rely entirely (...) on a similar artifact. Copyright 2010 by the Philosophy of Science Association. All rights reserved. (shrink)

(2002). Philosophy of Science 72 (January), 198-208.

There is a standard story told about the rise and fall of ordinary language philosophy: it was a widespread, if not dominant, approach to philosophy in Great Britain in the aftermath of World War II up until the early 1960s, but with the development of systematic approaches to the study of language—formal semantic theories on one hand and Gricean pragmatics on the other—ordinary language philosophy more or less disappeared. In this paper we present quantitative evidence to evaluate the standard story (...) of the rise and fall of ordinary language philosophy, building on the topic model of over 30,000 philosophy articles in Weatherson (2022). Using a combination of qualitative judgment and a topic-model-based measurement of similarity between individual articles, we find evidence that supports the first part of the standard story, according to which ordinary language philosophy arises in the 1940s, peaks between the early 1950s and the late 1960s, and then rapidly declines. But we argue that there is also evidence of a "new wave" of ordinary language philosophy in the early 21st century that defies the second part of the standard story. (shrink)