A computational modeling approach was used to test one possible explanation for the limited capacity of the subitizing phenomenon. Most existing models of this phenomenon associate the subitizing span with an assumed structural limitation of the human information processing system. In contrast, we show how this limit might emerge as the combinatorics of the space of enumeration problems interacts with the human cognitive architecture in the context of an enumeration task. Subitizing‐like behavior was generated in two different models of enumeration, (...) one based on the ACT‐R cognitive architecture and the other based on the principles of parallel distributed processing (PDP). Our results provide good qualitative fits to results obtained in a variety of empirical studies. (shrink)

This chapter discusses the roles of ether and electrons in relativity theory. One of the most radical moves made by Albert Einstein was to dismiss the ether from electrodynamics. His fellow physicists felt challenged by Einstein’s view, and they came up with a variety of responses, ranging from enthusiastic approval, to dismissive rejection. Among the naysayers were the electron theorists, who were unanimous in their affirmation of the ether, even if they agreed with other aspects of Einstein’s theory of relativity. (...) The eventual success of the latter theory (circa 1911) owed much to Hermann Minkowski’s idea of four-dimensional spacetime, which was portrayed as a conceptual substitute of sorts for the ether. (shrink)

The law of gravitational attraction is a window on three formal approaches to laws of nature based on Lorentz-invariance: Poincaré’s four-dimensional vector space (1906), Minkowski’s matrix calculus and spacetime geometry (1908), and Sommerfeld’s 4-vector algebra (1910). In virtue of a common appeal to 4-vectors for the characterization of gravitational attraction, these three contributions track the emergence and early development of four-dimensional physics.

Atrial natriuretic peptides appear to elicit their actions in some target tissues by binding to a novel cell‐surface transmembrane protein which possesses both peptide binding and guanylate cyclase activities. Ligand binding stimulates enzyme activity to produce increased intracellular concentrations of cyclic GMP which, in turn, mediates the cell's physiological response.

Albert Einstein’s bold assertion of the form invariance of the equation of a spherical light wave with respect to inertial frames of reference became, in the space of 6 years, the preferred foundation of his theory of relativity. Early on, however, Einstein’s universal light-sphere invariance was challenged on epistemological grounds by Henri Poincaré, who promoted an alternative demonstration of the foundations of relativity theory based on the notion of a light ellipsoid. A third figure of light, Hermann Minkowski’s lightcone also (...) provided a new means of envisioning the foundations of relativity. Drawing in part on archival sources, this paper shows how an informal, international group of physicists, mathematicians, and engineers, including Einstein, Paul Langevin, Poincaré, Hermann Minkowski, Ebenezer Cunningham, Harry Bateman, Otto Berg, Max Planck, Max von Laue, A. A. Robb, and Ludwig Silberstein, employed figures of light during the formative years of relativity theory in their discovery of the salient features of the relativistic worldview. (shrink)

The two greatest mathematicians of the early twentieth century, David Hilbert and Henri Poincaré transformed the mathematics of their time. Their personal interaction was infrequent, until Hilbert invited Poincaré to deliver the first Wolfskehl Lectures in Göttingen in the spring of 1909. A correspondence ensued, which fixed the content and timing of the lecture series. A close reading of the exchange throws light on what Hilbert wanted Poincaré to talk about, and on what Poincaré wanted to present to Hilbert and (...) his colleagues. To answer the latter question, reference is made to the published version of Poincaré’s six talks, with a focus on two of them, concerning the propagation of Hertzian waves, and the theory of relativity. (shrink)

Albert Einstein's bold assertion of the form-invariance of the equation of a spherical light wave with respect to inertial frames of reference became, in the space of six years, the preferred foundation of his theory of relativity. Early on, however, Einstein's universal light-sphere invariance was challenged on epistemological grounds by Henri Poincaré, who promoted an alternative demonstration of the foundations of relativity theory based on the notion of a light-ellipsoid. Drawing in part on archival sources, this paper shows how an (...) informal, international group of physicists, mathematicians, and engineers, including Einstein, Paul Langevin, Poincaré, Hermann Minkowski, Ebenezer Cunningham, Harry Bateman, Otto Berg, Max Planck, Max Laue, A. A. Robb, and Ludwig Silberstein, employed figures of light during the formative years of relativity theory in their discovery of the salient features of the relativistic worldview. (shrink)

In the early 1880s, Henri Poincaré discovered an equilibrium figure for uniformly-rotating fluid masses—the pear, or piriform figure—and speculated that in certain circumstances the pear splits into two unequal parts, and provides thereby a model for the origin of binary stars. The contemporary emergence of photometric and spectroscopic studies of variable stars fueled the first models of eclipsing binaries, and provided empirical support for a realist view of equilibrium figures—including the pear—in the cosmic realm. The paper reviews astrophysical interpretation of (...) the Poincaré pear and the Poincaré-Darwin fission hypothesis with respect to research on variable stars from 1885 to 1901. (shrink)

A plausible explanation of the wrongfulness of threatening, advanced most explicitly by Mitchell Berman, is that the wrongfulness of threatening derives from the wrongfulness of the act threatened. This essay argues that this explanation is inadequate. We can learn something important about the wrongfulness of threatening (with implications for thinking about coercion) by comparing credible threats to some other claims of impending harm. A credible bluff threat to do harm is likely to be more and differently wrongful than making intentionally (...) false warnings about other sources of harm. This essay surveys some examples to secure this point, shows that Berman's moralized account of their wrongfulness is wanting, and offers the outline of an approach better suited to explain the wrongfulness of threatening.1. (shrink)

Traditional theists believe that there exists an all-knowing, all-powerful, perfectly loving, and perfectly good God. They also believe that God created the world, sustains it in being from moment to moment, and providentially guides all events, in accordance with a plan, towards a good ending. Historically, most traditional theists have believed that God sometimes answers prayers for particular things. In keeping with the literature on this subject, these prayers are referred to as ‘petitionary prayers’. This article discusses several problems related (...) to the concept of the traditional theistic God's answering petitionary prayers. (shrink)

This volume explores the philosophical issues involved in the idea of petitionary prayer, where this is conceived as an activity designed to influence the action of the all-knowing, all-powerful, perfectly good God of traditional theism. Theists have always recognized various logical and moral limits to divine action in the world, but do these limits leave any space among God's reasons for petitionary prayer to make a difference? Petitionary Prayer: A Philosophical Investigation develops a new account of the conditions required for (...) a petitionary prayer to be answered by employing the notion of contrastive explanation. With careful attention to recent developments in metaphysics, epistemology, and value theory, Scott A. Davison surveys the contemporary literature on this question. He considers questions about human freedom and responsibility in relation to different views of divine providence, along with the puzzles inherent in Christian teachings concerning petitionary prayer. Davison develops new challenges to the coherence of the idea of answered petitionary prayer based upon the nature of divine freedom, the limits of human knowledge, and the nature of those good things that require a recipient's permission before they can be given. He proposes new defences, building upon careful analysis of the shortcomings of previous proposals and clarifying the issues for future debate. (shrink)

This letter corrects errors of fact contained in a review by Yves Gingras of a biopic about Henri Poincaré.

The reception of Poincaré’s conventionalist doctrine of space by mathematicians is studied for the period 1891–1911. The opposing view of Riemann and Helmholtz, according to which the geometry of space is an empirical question, is shown to have swayed several geometers. This preference is considered in the context of changing views of the nature of space in theoretical physics, and with respect to structural and social changes within mathematics. Included in the latter evolution is the emergence of non-Euclidean geometry as (...) a new sub-discipline. (shrink)

Recently-discovered manuscripts throw new light on Poincaré’s discovery of the Lorentz group, and his ether-based interpretation of the Lorentz transformation. At first, Poincaré postulated longitudinal contraction of bodies in motion with respect to the ether, and ignored time deformation. In April, 1909, he acknowledged temporal deformation due to translation, obtaining thereby a theory of relativity more compatible with those of Einstein and Minkowski.

I argue that a well-known argument concerning moral luck supports something like the Principle of Alternate Possibilities (PAP), despite the attacks on PAP by Harry Frankfurt and John Martin Fischer.

Many recent theories of coercion broaden the scope of the concept coercion by encompassing interactions in which one agent pressures another to act, subject to some further qualifications. I have argued previously that this way of conceptualizing coercion undermines its suitability for theoretical use in politics and ethics. I have also explicated a narrower, more traditional approach—“the enforcement approach to coercion”—and argued for its superiority. In this essay, I consider the prospects for broadening this more traditional approach to cover some (...) cases that don’t seem to fit this approach, but nonetheless seem coercive, such as the demands routinely made on people by credit card companies, demands on students by higher educational institutions, and demands made by European financial institutions on the government of Greece. I analyze the similarities and differences of these compared to more central cases of coercion, discussing what lessons can be drawn from this analysis. (shrink)

What sorts of things are there in the world? Clearly enough, there are concrete, material things; but are there other things too, perhaps nonconcrete or non-material things? Some people believe that there are such things, which are often called abstract ; purported examples of such objects include numbers, properties, possible but non-actual states of affairs, propositions, and sets. Following a long-standing tradition, I shall describe persons who believe that there are abstract objects as ‘platonists’. In this paper, I shall not (...) directly address the plausibility of platonism, as compared with its rivals; instead, I shall confine my attention to one way in which some people have tried to combine platonism and theism. More specifically, I shall concentrate upon the claim that abstract objects depend upon God ontologically ; I shall argue that platonistic theists should reject DEP in favour of the claim that abstract objects exist independently of God . In order to evaluate the relative merits of DEP versus IND, it will be helpful to examine in some detail a particular articulation of DEP. When it comes to recent work on DEP, we can do no better in this regard than to examine the recent work of Thomas V. Morris and Christopher H. Menzel. According Morris and Menzel, there is a sense in which God literally creates such abstracta through engaging in intellective activities. (shrink)

I respond to Daniel and Frances Howard-Snyder’s criticisms of my arguments in another place for the conclusion that human supplicants would have little responsibility (if any) for the result of answered petitionary prayer, and criticize their defense of the claim that God would have good reasons for creating an institution of petitionary prayer.

Ethical sensitivity triggers the entire ethical decision-making process (i.e., recognition of ethical content in work situations). In this article, five factors are examined that affect tax practitioners' professional ethical sensitivity. The five factors that were examined include role conflict, role ambiguity, job satisfaction, professional commitment, and ethical orientation. Ethical content in work situations is examined in relation to professional ethics as enumerated by the American Institute of Certified Public Accountant's (AICPA) Statements on Responsibilities in Tax Practice (SRTP). Utilizing Hunt and (...) Vitell's (1986, 1993) General Theory of Ethics, a model of ethical sensitivity was constructed and empirically tested. Role conflict negatively and job satisfaction positively influenced tax practitioners' ethical sensitivity. Also, the covariates of the tax practitioner's professional risk level and type of employer were found to be significant. The significant factors are job specific. The tax firm may have the best opportunity to positively change a tax practitioner's ethical recognition abilities. Professional accounting organizations may need to evaluate if resources should be used to formulate, maintain, and publicize codes of conduct because of the lack of significance of professional commitment. (shrink)

Academic dishonesty is a persistent problem in the American educational system. The present investigation examined how reports of academic cheating related to students' emphasis on their moral identities and their sensitivity to social evaluation. Seventy college students at a large southeastern university completed a battery of surveys. Symptoms of social anxiety were positively correlated with recall of academic cheating. Additionally, relative to students who placed less importance on their moral identities, students who placed more importance on their moral identities recalled (...) significantly fewer instances of cheating. In summary, these findings suggest that students are less likely to cheat on their school work when they place greater emphasis on their moral identity and are less sensitive to social evaluation. Practical interventions to rampant cheating in American schools are discussed. (shrink)

In this paper, I explore several privacy issues as they arise with respect to the divine/human relationship. First, in section 1, I discuss the notion of privacy in a general way. Section 2 is devoted to the claim that privacy involves control over information about oneself. In section 3, I summarize the arguments offered recently by Margaret Falls-Corbitt and F. Michael McLain for the conclusion that God respects the privacy of human persons by refraining from knowing certain things about them. (...) Finally, in section 4, I shall criticize Falls-Corbitt and McLain’s arguments and make some concluding remarks about God and privacy. (shrink)

We address two major limitations of Schyns et al. First, we clarify their concept of “features” by postulating several levels for processing. The composition of the feature set at each level determines the set at the next higher level, following simple structural guidelines. Second, we show that our proposed framework reconciles feature-creation and fixed-feature approaches.

This essay provides a positive account of coercion that avoids significant difficulties that have confronted most other recent accounts. It enters this territory by noting a dispute over whether coercion has to manipulate the will of the coercee, or whether direct force inhibiting action (such as manhandling or imprisoning) is itself coercive. Though this dispute may at first seem a mere matter of taxonomic categorization, I argue that this dispute reflects an important divergence in thought about the nature of coercion. (...) Though it has rarely been noted, there are two significantly different ways of theorizing coercion found in recent writing on coercion. One focuses on the ability of the coercer to inhibit actions by the coercee through techniques such as force, violence, and like powers, or threats based in such powers. The other approach restricts coercion to cases where coercion manipulates the will of the coercee, though widens it to include any sort of threat that puts pressure on the coercee's will and alters the coercee's intentional choice of action. The former, enforcement approach used to be widely assumed by many political theorists who discussed the place of coercion in law and politics, though it has been largely supplanted by the latter, pressure approach. I show that these approaches are indeed quite distinct, and argue that the enforcement approach is in several ways superior to and more fundamental than the pressure approach for recognizing and understanding coercion in ethics and political and legal philosophy. I also consider and respond to a number of objections to the enforcement approach, showing that it can deal with some puzzle cases such as bluffs, blackmail, inefficacious threats, oblique threats, and economic coercion. (shrink)

: The rights to liberty championed by classical liberal and libertarian theorists may be supported as products of practical reason. The foundations for these rights rest initially on the idea that the separateness of persons is embedded in the circumstances of life that make justice a meaningful concept. We can discover the duties justice imposes […].

This essay differentiates two approaches to understanding the concept of coercion, and argues for the relative merits of the one currently out of fashion. The approach currently dominant in the philosophical literature treats threats as essential to coercion, and understands coercion in terms of the way threats alter the costs and benefits of an agent’s actions; I call this the “pressure” approach. It has largely superseded the “enforcement approach,” which focuses on the powers and actions of the coercer rather than (...) the perspective of the coercee. The enforcement approach identifies coercion with certain uses of the kinds of powers that agents need to accumulate and wield in order to be able to make significant, credible threats. Though there is considerable overlap extensionally in the instances of coercion recognized by the two approaches, the enforcement approach encompasses some uses of power to coerce that do not involve threats . It also circumscribes which threats should be counted as coercive, though notably it provides a picture of coercion that is non-moralized in its essentials. While there may be specific purposes for which a pressure account is to be preferred, I argue that the enforcement approach better describes how coercion works, and elucidates factors that are often tacitly assumed by pressure accounts. It also is more useful for explaining the social and political significance of coercion, and why coercion is thought to have the implications commonly associated with it. In particular, I argue that it helps us understand why uses of coercion are in general a matter of ethical significance, why state authority depends on commanding a monopoly on the right to use coercion, and why being coerced may reasonably provide one a defense against being held responsible for actions one is coerced into taking. (shrink)

Genetic analysis of Drosophila has shown that a morphogenetic gradient of the Transforming Growth Factor‐β family member dpp patterns the embryonic dorsalventral axis. Molecular and embryological evidence from Xenopus has strongly suggested a similar role for Bmp‐4, the dpp homolog, in patterning the dorsalventral axis of chordates. A recent report has now identified mutations in two genes, dino and swirl, that disrupt dorsal‐ventral patterning in the zebrafish Danio rerio(1). Characterization of these mutations parallels findings from Drosophila, thus establishing a genetic (...) framework for the analysis of dorsalventral patterning in a vertebrate. (shrink)

The practices of economists increase experimental reproducibility relative to those of selected psychologists but should not be universally adopted. Procedures criticized by Hertwig and Ortmann as producing variable data are valuable, instead, for generating questions. The procedure of choice should depend on the theoretical goal: measure a known factor or learn what factors are important and need to be measured.

Nicholas Wolterstorff: Practices of belief: selected essays, volume 2 (Terence Cuneo, ed.) Content Type Journal Article Category Book Review Pages 255-258 DOI 10.1007/s11153-011-9287-4 Authors Scott A. Davison, Philosophy Program, Morehead State University, 150 University Blvd., 354A Rader Hall, Morehead, KY 40351, USA Journal International Journal for Philosophy of Religion Online ISSN 1572-8684 Print ISSN 0020-7047 Journal Volume Volume 70 Journal Issue Volume 70, Number 3.

Research programmes are sets of problems preferred on epistemic grounds and including preferred heuristics for inquiry. Charles Lyell's research programme for biogeograpy includes the problem of explaining the distribution of species constrained by laws governing locomotion and containment of species. Included in the programme are laws governing the supernatural introduction of replacement species. Wallace and Darwin derected arguments against the putative intelligibility of this aspect of Lyell's programme before discovering natural selection, and their defence, at this time of natural laws (...) governing the introduction of new species is interesting as a defence of a noval programme of research, not a defence of a proposed theroy. These arguments are presented and an epistemological foundation is offered for them. 1 The author is indebted to a referee for helpful comments on an earlier draft of this paper. (shrink)