Rationalizing the perceptual effects of spectral stimuli has been a major challenge in vision science for at least the last 200 years. Here we review evidence that this otherwise puzzling body of phenomenology is generated by an empirical strategy of perception in which the color an observer sees is entirely determined by the probability distribution of the possible sources of the stimulus. The rationale for this strategy in color vision, as in other visual perceptual domains, is the inherent ambiguity of (...) the real-world origins of any spectral stimulus. (shrink)

Rationalizing the perceptual effects of spectral stimuli has been a major challenge in vision science for at least the last 200 years. Here we review evidence that this otherwise puzzling body of phenomenology is generated by an empirical strategy of perception in which the color an observer sees is entirely determined by the probability distribution of the possible sources of the stimulus. The rationale for this strategy in color vision, as in other visual perceptual domains, is the inherent ambiguity of (...) the real-world origins of any spectral stimulus. (shrink)

Each target article contributes important proto-musical building blocks that constrain music as-we-know-it. However, neither the credible signaling nor social bonding accounts elucidate the central mystery of why music sounds the way it does. Getting there requires working out how proto-musical building blocks combine and interact to create the complex, rich, and affecting music humans create and enjoy.

This slim volume contains a translation of the article Beau from the second volume of Diderot's Encyclopédie, plus a lengthy introduction to Diderot's work and a survey of esthetic theory in eighteenth-century England, France, and Germany as well. The translators do not mention the academic quarrels which plagued Diderot's article until 1952, when Lester G. Crocker resolved them once and for all in favor of Diderot. They also mistakenly attribute to Diderot the article Encyclopédie. These are, however, minor imperfections (...) in a text which serves as a solid introduction to Diderot studies. The translators have summarized many of Diderot's major works and have outlined significant problems in esthetics discussed by Hume, Shaftesbury, Hutcheson, Wolff, Lessing, Winckelman, Montesquieu, Du Bos, and, of immediate significance to Diderot, the père Andre and the abbé Batteux. Other features of this book include extensive notes, a good index, a bibliography, and André Billy's compilation of Diderot's works in order of publication.—C. M. R. (shrink)

R.I.G. Hughes presents a series of eight philosophical essays on the theoretical practices of physics. The first two essays examine these practices as they appear in physicists' treatises (e.g. Newton's Principia and Opticks ) and journal articles (by Einstein, Bohm and Pines, Aharonov and Bohm). By treating these publications as texts, Hughes casts the philosopher of science in the role of critic. This premise guides the following 6 essays which deal with various concerns of philosophy of physics such as laws, (...) disunities, models and representation, computer simulation, explanation, and the discourse of physics. (shrink)

Recent work on formal theories of truth has revived an approach, due originally to Tarski, on which syntax and truth theories are sharply distinguished—‘disentangled’—from mathematical base theories. In this paper, we defend a novel philosophical constraint on disentangled theories. We argue that these theories must be epistemically stable: they must possess an intrinsic motivation justifying no strictly stronger theory. In a disentangled setting, even if the base and the syntax theory are individually stable, they may be jointly unstable. We contend (...) that this flaw afflicts many proposals discussed in the literature; we defend a new, stable disentangled theory, double second-order arithmetic. (shrink)

Whether Trinitarianism is coherent depends not only on whether some account of the Trinity is coherent, but on which accounts of the Trinity count as "Trinitarian." After all, Arianism and Modalism are both accounts of the Trinity, but neither counts as Trinitarian (which is why defenses of Arianism or Modalism don’t count as defenses of Trinitarianism). This raises the question, if not just any account of the Trinity counts as Trinitarian, which do? Dale Tuggy is one of very few philosophers (...) to give explicit definitions of Trinitarian (versus Unitarian) theology. But they are no mere formalities. They are essential to his central criticisms of both historical and contemporary forms of Trinitarianism. In this paper, I offer my own definitions of Trinitarian and Unitarian theology, contrast them with Tuggy’s, and argue for the superiority of my definitions to Tuggy’s. If Trinitarianism and Unitarianism are what Tuggy says they are, the outlook for Trinitarianism is bleak indeed. If they are what I say they are, Tuggy’s central objection to Trinitarianism fails. To show what is at stake in these pairs of definitions, I examine a doctrine much neglected in Analytic Theology, but central to Nicene Trinitarianism—the Monarchy of the Father. (shrink)

Analytic theologians have proposed numerous “solutions” to the Logical Problem of the Trinity (LPT), mostly versions of Social Trinitarianism (ST) and Relative Identity Trinitarianism (RI). Both types of solution are controversial, but many hold out hope that further “Trinitarian theorizing” may yield some as yet unimagined, and somehow importantly different, solution to the LPT. I first give a precise definition of the LPT and of what would count as a solution to it. I then show how, though there are infinitely (...) many possible solutions, all solutions can be grouped together into a finite, exhaustive taxonomy, based precisely on those features which make them either controversial, heretical, or inconsistent. The taxonomy reveals why ST and RI have been the major proposed solutions, and also proves that there can be no importantly different, new solutions to the LPT. (shrink)

I develop a novel argument against the claim that ordinals are sets. In contrast to Benacerraf’s antireductionist argument, I make no use of covert epistemic assumptions. Instead, my argument uses considerations of ontological dependence. I draw on the datum that sets depend immediately and asymmetrically on their elements and argue that this datum is incompatible with reductionism, given plausible assumptions about the dependence profile of ordinals. In addition, I show that a structurally similar argument can be made against the claim (...) that cardinals are sets. (shrink)

Interpreting God’s silence may prove as fruitful to communities of faith as a firm understanding of God’s words. Against the backdrop of Lamentations’ boisterous lament, God’s silence speaks volumes.

Analytic theology has sometimes been criticized as ahistorical. But what this means, and why it is problematic, have often been left unclear. This essay explicates and supports one way of making that charge while simultaneously showing this ahistoricity, although widespread within analytic theology, is not essential to it. Specifically, some analytic theologians treat problematic doctrines as metaphysical puzzles, constructing speculative accounts of phenomena such as the Trinity or Incarnation and taking the theoretical virtues of such accounts to be sufficient in (...) themselves to defend traditional doctrines with no need for additional, historical premises. But due to the different epistemic structures of metaphysical and theological puzzles, I argue that importing this methodology into philosophical theology results in invalid or question-begging arguments, and it is unclear how a virtue-centric methodology could be repaired without collapsing into a more historical methodology, which some of the best (but unfortunately not all) analytic theologians follow. (shrink)

Beau Branson rounds out the previous two chapters, by exploring the doctrine of inseparable operations ad extra in the writings of St Gregory of Nyssa. This doctrine says that all the activities of the three hypostases of the Trinity, at least insofar as they relate to things outside of (“ad extra”) the Trinity, are not only qualitatively identical but numerically identical. Importantly, Branson focuses his attention on Gregory’s theory of action and the individuation of events that emerges from his (...) theological defense of the doctrine of inseparable operations ad extra. Through a heavy engagement with contemporary metaphysics, Branson shows that Gregory’s philosophy of action is not only coherent, anticipating current trends in the ontology of actions and events, but may provide novel solutions to longstanding problems in this field. (shrink)

R.I.G Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful.

The doctrine of the Trinity is central to mainstream Christianity. But insofar as it posits “three persons” (Father, Son and Holy Spirit), who are “one God,” it appears as inconsistent as the claim that 1+1+1=1. -/- Much of the literature on “The Logical Problem of the Trinity,” as this has been called, attacks or defends Trinitarianism with little regard to the fourth century theological controversies and the late Hellenistic and early Medieval philosophical background in which it took shape. I argue (...) that this methodol- ogy, which I call “the Puzzle Approach,” produces obviously invalid arguments, and it is unclear how to repair it without collapsing into my preferred method- ology, “the Historical Approach,” which sees history as essential to the debate. I also discuss “mysterianism,” arguing that, successful or not, it has a different goal from the other approaches. I further argue that any solution from the His- torical Approach satisfies the concerns of the Puzzle Approach and mysterianism anyway. -/- I then examine the solution to the Logical Problem of the Trinity found in St. Gregory of Nyssa’s writings, both due to his place in the history of the doctrine, and his clarity in explicating what I call “the metaphysics of synergy.” I recast his solution in standard predicate logic and provide a formal proof of its consistency. I end by considering the possibilities for attacking the broader philosophical context of his defense and conclude that the prospects for doing so are dim. In any case, if there should turn out to be any problem with the doctrine of the Trinity at all, it will not be one of mere logical inconsistency in saying that “These Three are One.”. (shrink)

This book provides a collection of sources, many of them fragmentary and previously scattered and hard to access, for the development of Peripatetic philosophy in the later Hellenistic period and the early Roman Empire. It also supplies the background against which the first commentator on Aristotle from whom extensive material survives, Alexander of Aphrodisias (fl. c. AD 200), developed his interpretations which continue to be influential even today. Many of the passages are here translated into English for the first time, (...) including the whole of the summary of Peripatetic ethics attributed to 'Arius Didymus'. (shrink)

In the 225 years since the United States Constitution was first drafted, no single book has addressed the key questions of what constitutions are designed to do, how they are structured, and why they matter. In From Words to Worlds, constitutional scholar Beau Breslin corrects this glaring oversight, singling out the essential functions that a modern, written constitution must incorporate in order to serve as a nation's fundamental law. Breslin lays out and explains the basic functions of a modern (...) constitution -- including creating a new citizenry, structuring the institutions of government, regulating conflict between layers and branches of government, and limiting the power of the sovereign. He also moves into the esoteric, discussing the theoretical concepts behind the fundamentals of written constitutions and examining in-depth some of the most important constitutional charters from around the world. In assaying how states put the structural ideas into practice, Breslin asks probing questions about why -- and if -- constitutions matter. His answer is a resounding yes. Solidly argued and engagingly written, this comparative study in constitutional thought demonstrates clearly the key components that a state's foundational document must address. In doing so, Breslin draws a critically important distinction between constitutional texts and constitutional practice. (shrink)

Reason and Value collects 15 new papers by leading contemporary philosophers on themes from the work of Joseph Raz. Raz has made major contributions in a wide range of areas, including jurisprudence, political philosophy, and the theory of practical reason; but all of his work displays a deep engagement with central themes in moral philosophy. The subtlety and power of Raz's reflections on ethical topics make his writings a fertile source for anyone working in this area. Especially significant are his (...) explorations of the connections between practical reason and the theory of value, which constitute a sustained and penetrating treatment of a set of issues at the very center of moral philosophy as it is practiced today. The contributors to the volume acknowledge the importance of Raz's contributions by engaging critically with his positions and offering independent perspectives on the topics that he has addressed. The volume aims both to honour Raz's accomplishments in the area of ethical theorizing, and to contribute to an enhanced appreciation of the significance of his work for the subject. (shrink)

The Nature of God explores a perennial problem in the philosophy of religion.

According to Leo Strauss, one of the primary purposes of the esotericism practiced by philosophers is the defense against persecution. This defense entails communicating the truth only to philosophers and concealing it from non-philosophers. For many commentators, this conception of esotericism has inegalitarian implications—for example, that the philosophers, who constitute a minority of people, are naturally capable of being told the truth, while the non-philosophers, who constitute a majority, are not. In this article, I argue that Strauss gives another account (...) of esotericism that does not have inegalitarian implications. He gives this account in his discussion of Farabi’s esotericism in the “Introduction” to Persecution and the Art of Writing. I also argue that Strauss presents this account esoterically. The “Introduction” reproduces text from an earlier article by Strauss, “Farabi’s Plato,” and Strauss makes certain changes, which point towards this other account. Finally, I explain why Strauss presents this other account esoterically. (shrink)

This article offers a new account of Leo Strauss’s interpretation of Maimonides’ esoteric teaching in the Guide for the Perplexed, which Strauss offers in his seminal essay ‘The Literary Character of the Guide for the Perplexed.’ According to the generally-accepted view, for Strauss, Maimonides’ esoteric teaching is the identity of the secrets of the Torah with Aristotelian philosophy, and—since that philosophy contradicts the foundational beliefs of the Torah—that the Torah has the merely instrumental function of bringing about political well-being. By (...) contrast, I argue that, for Strauss, Maimonides’ esoteric teaching is the necessity of breaking the laws of the Torah for the sake of restoring Israel’s sovereignty. Additionally, I claim that Strauss’s interpretation depends on Carl Schmitt’s ‘decisionism.’. (shrink)

Paul Celan’s “Tenebrae” is a scandalous poem: it describes how “unity with the dying Jesus” is achieved by means of the Jewish experience of the concentration camps. In this paper, I provide a new interpretation of “Tenebrae” that breaks from the two traditional ways in which the poem has been viewed—on the one hand, as a Christian poem that suggests that Jesus, insofar as he suffers just like Jewish concentration camp victims do, can provide “hope and redemption for the faithful”, (...) and, on the other hand, as an ironic criticism of this Christian idea. Rather, I suggest that “Tenebrae” is a modification of Christianity: preserving Christian belief about Jesus’s death, it destroys that belief, and does so for the sake of the defense against Christian persecution. Finally, I suggest that this view reveals the peculiar poetic form of “Tenebrae”—what I call “political form.”. (shrink)

This paper is an elaboration of Paul de Man’s critique, in “Heidegger’s Exegeses of Hölderlin,” of Martin Heidegger’s commentary on Friedrich Hölderlin’s poem, “As when on a holiday…” I show that de Man’s critique can be expanded into a critique of a type of testimony that Heidegger ascribes to Hölderlin’s poem. Heidegger ascribes to Hölderlin’s poem what I call “infinite testimony,” but, thereby, suppresses in the poem another type of testimony—what I call “finite testimony. This suppression is most in evidence (...) in Heidegger’s interpretation of Hölderlin’s reference to the myth of Semele, as well as in Heidegger’s excision, in the version of the poem that he printed in the commentary, of the concluding lines of the poem. Additionally, I discuss the political implications of Heidegger’s suppression of the finite testimony depicted in “As when on a holiday...”. (shrink)

This paper critiques Adorno’s interpretation of Paul Celan’s poetry, as well as some of the philosophical ideas that motivate it. For Adorno, Celan’s poetry is “hermetic”—it refuses aesthetic representation; and, by virtue of this hermeticism, it expresses the horror of the Holocaust—a horror whose content is that it refuses aesthetic representation. I give a reading of Celan’s “Tenebrae,” from his 1959 collection Sprachgitter, and show that it uses aesthetic representation; that this use expresses the horror of the Holocaust; and that, (...) in comparison to this, Adorno’s concept of hermeticism is a way of concealing this horror. (shrink)

This paper critiques Adorno’s interpretation of Paul Celan’s poetry, as well as some of the philosophical ideas that motivate it. For Adorno, Celan’s poetry is “hermetic”—it refuses aesthetic representation; and, by virtue of this hermeticism, it expresses the horror of the Holocaust—a horror whose content is that it refuses aesthetic representation. I give a reading of Celan’s “Tenebrae,” from his 1959 collection Sprachgitter, and show that it uses aesthetic representation; that this use expresses the horror of the Holocaust; and that, (...) in comparison to this, Adorno’s concept of hermeticism is a way of concealing this horror. (shrink)

ABSTRACTA primary theme in Leo Strauss’s early work is how medieval Jewish and Islamic political philosophy, while influenced by Plato, differs from him in crucial ways. This theme is central to Strauss’s 1935 book Philosophy and Law. Philosophy and Law concerns the medieval ‘philosophic foundation of the law,’ which provides a rational justification of revelation. For Strauss, the foundation provides this justification by virtue of some difference it has from Plato. In this paper, I offer a new interpretation of Strauss’s (...) view of this difference. I suggest that, for Strauss, whereas Plato conceived of the legislator and his legislation, the foundation conceives of the sovereign and his sovereign laws. On this basis, I also suggest a solution to a perennial mystery of Philosophy and Law: Strauss claims that the medieval foundation reveals ‘ultra-modern thoughts,’ yet does not explicitly state the identity of these thoughts. I suggest that their author is Carl Schmitt. (shrink)

Yarkoni's argument risks skepticism about the very possibility of social science: If social phenomena are too causally complex, normal scientific methods could not possibly untangle them. We argue that the problem of causal complexity is best approached at the level of scientific communities and institutions, not the modeling practices of individual scientists.

Since their emergence in the 1980s, environmental virtue ethics (EVEs) have aimed to provide an alternative to deontological and consequentialist approaches for guiding ecological actions in the context of the global environmental crisis. The deterioration of the ecological situation and the challenges in addressing collective action problems caused by global changes have heightened interest in these ethics. They offer a framework for meaningful individual actions independently of the commitment of other actors. However, by shifting the focus onto individuals, EVEs appear (...) to grapple with the tension between anthropocentrism and respect for nature, as well as between self-flourishing and concern for other living beings. This article argues that this difficulty is rooted in the neglect within EVEs of the communitarian aspect of ancient virtue ethics. Drawing from Baird Callicott’s ecocentric approach and Val Plumwood’s works, this paper explores the possibility of conceiving ecological communities as collective frameworks in which both public and private virtues are defined and practiced. (shrink)

I extend theorems due to Roy Cook on third- and higher-order versions of abstraction principles and discuss the philosophical importance of results of this type. Cook demonstrated that the satisfiability of certain higher-order analogues of Hume's Principle is independent of ZFC. I show that similar analogues of Boolos's new v and Cook's own ordinal abstraction principle soap are not satisfiable at all. I argue, however, that these results do not tell significantly against the second-order versions of these principles.