Guthrie contends that religion can best be understood as systematic anthropomorphism - the attribution of human characteristics to nonhuman things and events. Religion, he says, consists of seeing the world as human like. He offers a fascinating array of examples to show how this strategy pervades secular life and how it characterizes religious experience.

Graham Priest's In Contradiction (Dordrecht: Martinus Nijhoff Publishers, 1987, chapter 3) contains an argument concerning the intuitive, or ‘naïve’ notion of (arithmetic) proof, or provability. He argues that the intuitively provable arithmetic sentences constitute a recursively enumerable set, which has a Gödel sentence which is itself intuitively provable. The incompleteness theorem does not apply, since the set of provable arithmetic sentences is not consistent. The purpose of this article is to sharpen Priest's argument, avoiding reference to informal notions, consensus, or (...) Church's thesis. We add Priest's dialetheic semantics to ordinary Peano arithmetic PA, to produce a recursively axiomatized formal system PA★ that contains its own truth predicate. Whether one is a dialetheist or not, PA★ is a legitimate, rigorously defined formal system, and one can explore its proof‐theoretic properties. The system is inconsistent (but presumably non‐trivial), and it proves its own Gödel sentence as well as its own soundness. Although this much is perhaps welcome to the dialetheist, it has some untoward consequences. There are purely arithmetic (indeed, Π0) sentences that are both provable and refutable in PA★. So if the dialetheist maintains that PA★ is sound, then he must hold that there are true contradictions in the most elementary language of arithmetic. Moreover, the thorough dialetheist must hold that there is a number g which both is and is not the code of a derivation of the indicated Gödel sentence of PA★. For the thorough dialetheist, it follows ordinary PA and even Robinson arithmetic are themselves inconsistent theories. I argue that this is a bitter pill for the dialetheist to swallow. (shrink)

I consider statistical criteria of algorithmic fairness from the perspective of the _ideals_ of fairness to which these criteria are committed. I distinguish and describe three theoretical roles such ideals might play. The usefulness of this program is illustrated by taking Base Rate Tracking and its ratio variant as a case study. I identify and compare the ideals of these two criteria, then consider them in each of the aforementioned three roles for ideals. This ideals program may present a way (...) forward in the normative evaluation of candidate statistical criteria of algorithmic fairness. (shrink)

The question of how the probabilistic opinions of different individuals should be aggregated to form a group opinion is controversial. But one assumption seems to be pretty much common ground: for a group of Bayesians, the representation of group opinion should itself be a unique probability distribution, 410–414, [45]; Bordley Management Science, 28, 1137–1148, [5]; Genest et al. The Annals of Statistics, 487–501, [21]; Genest and Zidek Statistical Science, 114–135, [23]; Mongin Journal of Economic Theory, 66, 313–351, [46]; Clemen and (...) Winkler Risk Analysis, 19, 187–203, [7]; Dietrich and List [14]; Herzberg Theory and Decision, 1–19, [28]). We argue that this assumption is not always in order. We show how to extend the canonical mathematical framework for pooling to cover pooling with imprecise probabilities by employing set-valued pooling functions and generalizing common pooling axioms accordingly. As a proof of concept, we then show that one IP construction satisfies a number of central pooling axioms that are not jointly satisfied by any of the standard pooling recipes on pain of triviality. Following Levi, 3–11, [39]), we also argue that IP models admit of a much better philosophical motivation as a model of rational consensus. (shrink)

There is a theorem that shows that it is impossible for an algorithm to jointly satisfy the statistical fairness criteria of Calibration and Equalised Odds non-trivially. But what about the recently advocated alternative to Calibration, Base Rate Tracking? Here, we show that Base Rate Tracking is strictly weaker than Calibration, and then take up the question of whether it is possible to jointly satisfy Base Rate Tracking and Equalised Odds in non-trivial scenarios. We show that it is not, thereby establishing (...) an even more general impossibility theorem. (shrink)

At the beginning of Die Grundlagen der Arithmetik [1884], Frege observes that “it is in the nature of mathematics to prefer proof, where proof is possible”. This, of course, is true, but thinkers differ on why it is that mathematicians prefer proof. And what of propositions for which no proof is possible? What of axioms? This talk explores various notions of self-evidence, and the role they play in various foundational systems, notably those of Frege and Zermelo. I argue that both (...) programs are undermined at a crucial point, namely when self-evidence is supported by holistic and even pragmatic considerations. (shrink)

The purpose of this paper is to assess the prospects for a neo‐logicist development of set theory based on a restriction of Frege's Basic Law V, which we call (RV): ∀P∀Q[Ext(P) = Ext(Q) ≡ [(BAD(P) & BAD(Q)) ∨ ∀x(Px ≡ Qx)]] BAD is taken as a primitive property of properties. We explore the features it must have for (RV) to sanction the various strong axioms of Zermelo–Fraenkel set theory. The primary interpretation is where ‘BAD’ is Dummett's ‘indefinitely extensible’.1 Background: what (...) and why?2 Framework3 GOOD candidates, indefinite extensibility4 The framework of (RV) alone, or almost alone5 The axioms6 Brief closing. (shrink)

The purpose of this note is to examine the relationship between the practice of mathematics and the philosophy of mathematics, ontology in particular. One conclusion is that the enterprises are (or should be) closely related, with neither one dominating the other. One cannot 'read off' the correct way to do mathematics from the true ontology, for example, nor can one ‘read off’ the true ontology from mathematics as practiced.

In this article, I argue that Immanuel Kant fails to provide a satisfactory account of ‘moral debt’ in Religion within the Boundaries of Mere Reason. More precisely, he fails to answer the question of why we should assume that a debt exists in the first place. In light of recent scholarship on this area of his thought, I sketch some possible readings of Kant on the nature of moral transformation that suggest how he might account for this debt. I then (...) argue that these accounts fail to justify its existence within Kant's project. (shrink)

In recent years, there has been a rapid growth in the use of autologous stem cell-based interventions to treat a wide range of medical conditions, including those for which there is limited evidence of safety and efficacy. One justification for this growth in the use of unproven interventions is that clinicians should be free to innovate, as long as consumers are adequately informed about risks and benefits. In this essay, we systematically refute the strong claim that consumer and clinician autonomy (...) provide sufficient justification for clinical innovation with autologous stem cells. While we do not deny the importance of consumer and clinician autonomy, we argue that equal consideration needs to be given... (shrink)

This collection of new papers on Scottish philosophy in the age of Hutcheson and Hume pays close attention to the study of context and the use of original historical sources as a key to philosophical interpretation. The book includes revolutionary new research on Hume's early reading in science and religion and its impact of his thought.

The aim of this paper is to examine the current state of development of Mäori science curriculum policy, and the roles that various discourses have played in shaping these developments. These discussions provide a background for suggestions about a possible future direction, and the presentation of a new concept for Mäori science education.

In the _True Intellectual System_, Cudworth attacks types of atheist position—atomic atheism, hylozoic atheism, etc. He generally uses ancient examples to illustrate those types, but also criticizes some of his contemporaries. We can identify direct criticisms of contemporaries by finding quotations, paraphrases, and accounts of their views in the text. My primary question in this paper is, 'how much of the _True Intellectual System_ is directly about or aimed at Spinoza?' My ultimate answer, contrary to some prominent voices in the (...) existing literature, is 'not very much at all'. (shrink)

Classically, the question of recognizing another subject is posed unilaterally, in terms of the observed behaviour of the other entity. Here, we propose an alternative, based on the emergent patterns of activity resulting from the interaction of both partners. We employ a minimalist device which forces the subjects to externalize their perceptual activity as trajectories which can be observed and recorded; the results show that subjects do identify the situation of perceptual crossing with their partner. The interpretation of the results (...) is guided by comparable evolutionary robotics simulations. There are two components to subjects’ recognition capacities: distinguishing mobile and fixed entities; and behaving so as to interact with their partner rather than with a mobile lure. The “Other” is characterized by the feature that there is sufficient regularity in the interactions to encourage the formation of anticipations; but sufficient indetermination that the actual behaviour is consistently surprising. Keywords: Recognition of other; perceptual crossing; evolutionary robotics. (shrink)

Hofweber (Ontology and the ambitions of metaphysics, Oxford University Press, 2016) argues for a thesis he calls “internalism” with respect to natural number discourse: no expressions purporting to refer to natural numbers in fact refer, and no apparent quantification over natural numbers actually involves quantification over natural numbers as objects. He argues that while internalism leaves open the question of whether other kinds of abstracta exist, it precludes the existence of natural numbers, thus establishing what he calls “restricted nominalism” about (...) natural numbers. We argue that Hofweber’s internalism fails to establish restricted nominalism. Not only is his primary argument for restricted nominalism invalid, the analysis of quantification proposed threatens to collapse internalism into either a traditional form of error theory or realism. (shrink)

‘The Gift’ is the English title of a small book first published in French in 1925 by sociologist Marcel Mauss, which catalyzed an ongoing debate linked to a wide range of scholarship. Mauss’s gift theory included the Māori example of the ‘hau of the gift’ which Mauss explained as a spiritual force, seeking to return to its original owner or place of origin. This article brings a critical Māori perspective to Mauss’ notion of the hau of the gift, in an (...) indigenous philosophical response to Eurocentric social science that combines critical discourse analysis with Kaupapa Māori theory and principles of research. The paper introduces Mauss’ arguments about gifting, and the role of hau in those arguments, before turning to a close examination of the concept of ‘hau’ as presented in the original Māori letters, the primary data used by Elsdon Best to write his anthropological articles, from which Mauss developed his ideas about hau. These letters, which sparked the whole debate, are material artefacts of the cross-cultural educational relationship between Tamati Ranapiri as teacher, and Elsdon Best as student. Common-sense Māori readings of Ranapiri find no mystery in what he wrote about hau, but reinforce the significance of his correspondence, from the perspective of Kaupapa Māori versions of the history of Māori education. (shrink)

Augustine’s homiletical exhortations display a strong eschatological emphasis in his approach to cultivating rightly ordered emotions. According to critics such as Hannah Arendt, Martha Nussbaum, and Thomas Dixon, this orientation risks denigrating the earthly life and its attendant emotions, while also promoting a crippling resignation to suffering. This article discusses Augustine’s eschatological frame for ordering the emotions through a focused treatment of en. Ps. 36 in conversation with Nussbaum’s critique in particular. In en. Ps. 36.1, Augustine deploys eschatological rhetoric to (...) discourage the believer’s envious response to a prosperous, profligate neighbor. This entails disposing the believer in weariness toward life’s temporal disparities and exhorting the believer to work in love to alleviate suffering with a view to heavenly flourishing. In this sense, a disposition of “world-weariness” works in concert with eschatological hope to rightly order both emotion and action in this present world. (shrink)

The most complete collection of essays on Hegel's Phenomenology of Spirit available in any language, with essays by distinguished international Hegel scholars.

James Van Cleve raises some objections to my attempt to solve the bootstrapping problem for what I call “basic justification theories.” I argue that given 1 the inference rules endorsed by basic justification theorists, we are a priori (propositionally) justified in believing that perception is reliable. This blocks the bootstrapping result.

In recent scholarship, moral theologians and readers of Thomas Aquinas have shown increasing sensitivity to the role of the passions in the moral life. Yet these accounts have paid inadequate attention to Thomas's writings on Christ's passions as a source of moral reflection. As I argue in this essay, Thomas's writings on Christ's human affectivity should not be limited to the concerns of Christology; rather, they should be integrated into a fuller account of the human passions. One upshot of this (...) approach for Thomists is that it sharpens our vocabulary when describing human nature and the conditions for the moral life. By considering the rubrics of creation, fall, and redemption – as Thomas does – we find that our resources for analyzing the passions are greatly enriched. (shrink)

Nietzsche’s Birth of Tragedy overcomes the opposition between scientific optimism and Schopenhauerian pessimism with the image of a music-making Socrates, who symbolizes the aesthetic affirmation of life. This article shows how the aesthetic ideal is an illusion whose metaphysical solace undermines itself in being recognized as such, thereby ceasing to be comforting. While I agree with recent commentaries that contest the pervasive Schopenhauerian reading of The Birth, most of these commentaries still support the view that Nietzsche wishes to communicate some (...) fundamental truth about nature or meaning in life. By contrast, I argue that he treats any such truth as a cultural fiction that emerges from the poetic staging of reality, leaving us with a contradiction of appearances deprived of any intelligible ground. (shrink)

Open peer commentary on the target article “How and Why the Brain Lays the Foundations for a Conscious Self” by Martin V. Butz. Excerpt: The article opens with the statement “perceived reality is a complex construct”; clearly, no constructivist could disagree with that! However, in the very next sentence Butz simply assumes, without argument, that we are dealing with an “inner” construct; he goes on, throughout the article, to speak of “inner realities.” I would like to explain (a) why I (...) think this is a mistake; and (b) why it is a serious mistake ... especially for constructivists. (shrink)