This analysis shows Cantor's diagonal definition in his 1891 paper was not compatible with his horizontal enumeration of the infinite set M. The diagonal sequence was a counterfeit which he used to produce an apparent exclusion of a single sequence to prove the cardinality of M is greater than the cardinality of the set of integers N.

Art, beauty, and the voice of God. And what of beauty?

What do we do with Judges? This two-edged word? This ambidextrous book? These ambivalent heroes? The Judges were drawing their last fleeting breaths shipwrecked and scattered upon the shores of historical-critical-grammatical-linear-modernist-masculine interpretation. "The narrative is primitive," they said. "The editors have made a mess," they exclaimed. "The conclusion is really an appendix," another said. Then the bible-acrobats jumped in pretending there was no literary carnage while at the same time drawing our eyes away from the literary carnage. "No, no, there (...) is an order to this disorderly book!" "Gideon is a man of faith," they explained. "Gideon is a sham," others retorted. "Long live the king," they cried. "Oh no, the king will bring down the nation," others said. Enter the latest literary critics and the fresh feminist readers to save the day. And save they have. Barry noted the irony. Cheryl called attention to the elaborate, spiraling labyrinth. Phyllis remembered the forgotten. Mieke heralded the incoherence. Deborah the Bee slings Barak with irony. Cowardly Jephthah sacrifices his virgin daughter immediately after he is filled with the spirit. Blind Samson remains stuck in some adolescent, Pinnochio-like stage milling around the same old vices. The Levite, the man of word and sacrifice, lies to the people and dismembers his wife. To beat it all the myopic narrator joins in lock step with the other blind characters stumbling around in the narrative. What manner of text is this? These Judges, these stories, are even more troubling now that we take them seriously. Now what do we do with Judges? The recent scholarship is most promising, but I think we must press forward, or is that backward, or perhaps to another plan. Perhaps Judges hearkens forward to the postmodern. What would Judges look like if we viewed the story through a postmodern lens? Would we see the text in another dimension? Would we let the characters live and breathe as confusing, confounding, intricate characters? Judges speaks to me. These judges, they teach me. How can I ever forget my reading of Judges? For once I found a text reflecting the madness of faith in my maddening world. For once I saw a text like Pablo. I heard the echo of Umberto. I noted the faint murmurings of Jacques. I danced a most joyous jig with Julia. I saw, up ahead, or was that behind me, or over to the side, Martin's flickering candle. Mieke, meet Jael. Barak, meet Barry. Jacques, meet Gideon. Samson, meet Martin. Umberto, meet the narrator or two or three. Pablo, meet the Levite's wife---sorry, she has no name. (shrink)

Contemporary naturalism is changing and scientific reductionism is under challenge from those who advocate a more comprehensive outlook. This special issue of Telos, based on the first Telos Australia Symposium held at Swinburne University in Melbourne in February 2014, introduces some of the key questions in the current debates. It also poses the question of whether more satisfactory political and social thought can be produced if scientific reductionism is replaced by a richer and more hermeneutical naturalism, one that takes more (...) account of philosophical anthropology, actual co-involvements of human beings and their environments, and the potential of more naturalistically grounded approaches to culture. (shrink)

"I tried to find out for myself, from the start, when I was a child, what was right and what was wrong-because no one around me could tell me. And now that everything is leaving me I realize I need someone to show me the way and to blame me and praise me, by right not ofp ower but ofa uthority, I need my father." -Albert Camus, The First Man.

It is only the story... that saves our progeny from blundering like blind beggars into the spikes of the cactus fence. The story is our escort. Without we are blind. -Chinua Achebe, Anthills of the Savannah.

We live in a world of many odd-shaped pieces, a cosmic jigsaw puzzle that often seems to have been further complicated by cruel fate.

Judges is about loss: a loss of the individual which leads to a loss of the tribe, and, if circumstances remain unchecked, a loss of the nation.

An encyclopedic exploration of the images, symbols, motifs, metaphors, figures of speech and literary patterns of the Bible.

"Any man-any artist, as Nietzsche or Cezanne would say- climbs the stairway in the tower of his perfection at the cost of a struggle with a deunde-not with an angel, as some have maintained, or with his muse. This fundamental distinction must be kept in mind if the root of a work of art is to be grasped." -Frederico Garcia Lorca.

It has become more common recently for epistemologists to advocate the pragmatic encroachment on knowledge, the claim that the appropriateness ofknowledge ascriptions is dependent on the relevant practical circumstances. Advocacy of practicalism in epistemology has come at the expense of contextualism, the view that knowledge ascriptions are independent of pragmatic factors and depend alternatively on distinctively epistemological, semantic factors with the result that knowledge ascriptions express different knowledge properties on different occasions of use. Overall, my goal here is to defend (...) a particular version of contextualism drawn from work by Peter Ludlow, called ‘standards contextualism.’ My strategy will be to elaborate on this form of contextualism by defending it from various objections raised by the practicalists Jason Stanley, Jeremy Fantl and Matthew McGrath. In showing how standards contextualism can effectively repel these criticisms I hope to establish that standards contextualism is a viable alternative to practicalism. (shrink)

With the appearance of Mircea Eliade's The Sacred and the Profane came the inauguration of theologians and philosophers questioning the preeminence of scholarly attention given to time to the virtual exclusion of space.

Our generation is turning to mentoring as an instrument of God to repair the ruin of our personal losses.

We lose something central to our humanity when we divide our world into neat little packages of sacred and secular.

Aimee did not want to survive; she neither wanted to live nor to die.

"Everything is a pretext for a good dinner.".

We want God to make sense, to be reasonable, to act according to how we think God should act. This kind of thinking, though, is not far from where we live today. If I give money to the church, then God will bless me financially. If I have my “quiet time” in scripture, then God will bless my day. If I raise my children right, then surely they will turn out right. In themselves these actions are good and right; however, (...) we have to ask ourselves, “Do our motives emerge from the desire to give a place to the mystery of faith, or, rather, to conquer mystery?”. (shrink)

It was the summer of 1984, the American dollar was strong, and this was my first venture to Europe. I found her and didn't even know I was searching for her. Mysteriously she crossed my path one day in Rome. I should confess though- at this point in my life, I am an uneasy Protestant.

It is quite fair to say that to the degree language works is also to the degree language does not work.

Narcissus has no need of art because his own reflection preoccupies him.

What is the relationship between prophetic vision and vision in terms for a hoped-for future? How might vision for a church or person best be defined today?

Compassion is called out of us when we see situations where there is an obvious absence of something or someone life-giving.

"He who is satisfied has never truly craved. And he who craves for the light of God neglects his ease for ardor." -Rabbi Abraham J. Heschel.

The work described in this report is motivated by the desire to test the expressive possibilities of action language C+. The Causal Calculator (CCalc) is a system that answers queries about action domains described in a fragment of that language. The Zoo World and the Traffic World have been proposed by Erik Sandewall in his Logic Modelling Workshop—an environment for communicating axiomatizations of action domains of nontrivial size. -/- The Zoo World consists of several cages and the exterior, gates between (...) them, and animals of several species, including humans. Actions in this domain include moving within and between cages, opening and closing gates, and mounting and riding animals. The Traffic World includes vehicles moving continuously between road crossings subject to a number of restrictions, such as speed limits and keeping a fixed safety distance away from other vehicles on the road. We show how to represent the two domains in the input language of CCalc, and how to use CCalc to test these representations. (shrink)

It is often argued that the indispensability of continuum models comes from their empirical adequacy despite their decoupling from the microscopic details of the modelled physical system. There is thus a commonly held misconception that temperature varying across a region of space or time can always be accurately represented as a continuous function. We discuss three inter-related cases of temperature modelling — in phase transitions, thermal boundary resistance and slip flows — and show that the continuum view is fallacious on (...) the ground that the microscopic details of a physical system are not necessarily decoupled from continuum models. We show how temperature discontinuities are present in both data (experiments and simulations) and phenomena (theory and models) and how discontinuum models of temperature variation may have greater empirical adequacy and explanatory power. The conclusions of our paper are: a) continuum idealisations are not indispensable to modelling physical phenomena and both continuous and discontinuous representations of phenomena work depending on the context; b) temperature is not necessarily a continuously defined function in our best scientific representations of the world; and c) that its continuity, where applicable, is a contingent matter. We also raise a question as to whether discontinuous representations should be considered truly de-idealised descriptions of physical phenomena. (shrink)

This paper is basically a presentation of the tenets of Pierre Bourdieu’s philosophy in a language and level that can be easily understood by Filipino students and scholars of philosophy, cultural studies and Philippine studies. The discussion of Bourdieu’s philosophy revolves around 1) his concepts of habitus, field and symbolic violence; 2) his critique of television; 3) his theory of capitals; 4) some implications of his theory of capitals; and 5) his being public intellectual. The ultimate aim of this paper (...) is to suggest some aspects and dimensions of Philippine society and culture that can be analyzed using some of bourdieu’s thoughts as interpretive frameworks, as well as to challenge the said Filipino students and scholars of philosophy, cultural studies and Philippine studies to creatively and effectively appropriate such theories for the enrichment of the theoretical corpus of Philippine studies. This paper is part of a series of similar works done by one of the co-authors that dealt with Adorno, Schleiermacher and Dilthey, Heidegger, Gadamer and Bultmann, and Lyotard. (shrink)

Philosophical work on explanation has focused on the following two topics: theories of explanation, intended to enumerate necessary and sufficient conditions for explanation, and inference to the best explanation as the strongest form of justification for ontological or metaphysical claims. I critically examine the most important philosophical work in both of these areas and defend my own conclusions about the connections between explanation and ontology. I argue that all of our inferences about the nature of the world, in ontology or (...) metaphysics, presuppose criteria for acceptable explanation. I first examine the metaphysics of Plato, Aristotle, and Leibniz, arguing that their metaphysical reasoning was guided by assumptions about the nature of explanation. I also survey some recent work in ontology and find inference to the best explanation offered as the strongest available method of defending existence claims. To conclude this discussion, I offer an original argument for the thesis that all reasoning about existence claims, being nondeductive, presupposes some criteria for acceptable explanations, or a theory of explanation. Carl Hempel and Wesley Salmon have been two of the most influential philosophers offering theories of explanation, and I examine their work with the intention of discovering ontological or metaphysical assumptions shaping their theories of explanation. I argue that Hempel's theory rests on deterministic assumptions, and I argue the Salmon's theory of causality, which he admits supports his theory of explanation, is subject to empiricist criticisms. Theories of explanation typically rest on assumptions about the nature of the world, I argue, and I explain why this is so with an original theory of explanation connecting it to the psychological phenomenon of understanding. We rely on understanding in the identification of explanations, and understanding requires establishing a metaphysical context for an explanandum-event. I end by indicating the possibility of generating vicious justificatory circles through the reciprocal relationship of support between explanation and ontology, and I argue that vicious circles can be avoided only by grounding all ontological reasoning in a fundamental explanatory task of giving order to experience through a system of categories. (shrink)

The question of when human life begins is critical in debates related to life issues. While there are a variety of proposals as to how an organism should be defined, many biologists and ethicists, particularly Catholics, have approached this issue by arguing that fertilization defines the beginning of a new organism. Examining the processes of fission and fusion, which take place before gastrulation, provides strong evidence for when human life beings and therefore how it should be defined. Among the four (...) dominant theories, regulative fission and fusion are the best explanations in terms of being the most consistent with the biological data. This explanation of twinning provides compelling evidence that fertilization is not a necessary condition for human generation, although it may be a sufficient condition. While fertilization generates the vast majority of human beings, additional human beings may rarely be generated during fission events. (shrink)

Je cherche à explorer comment l'expérience de la temporalité est multiforme et fortement perturbée à l'époque de la pandémie Covid-19 et des politiques de confinement, générant une expérience d'hétérochronie, qui remet en question notre rapport à la vie.

Contemporary discourse is littered with nasty and derailed disagreements. In this paper we hope to help clean things up. We diagnose two patterns of thought that often plague and exacerbate controversy. We illustrate these patterns and show that each involves both a logical mistake and a failure of intellectual charity. We also draw upon recent work in social psychology to shed light on why we tend to fall into these patterns of thought. We conclude by suggesting how the intellectual virtues (...) can militate against these fallacies, focusing on the virtues of charity and humility. (shrink)

Le but de ce texte est de mettre en évidence les équi­valences entre la façon dont le concept de conatus résout, dans l'Éthique, le problème de l'unité modale complexe. en rendant consis­tant le concept de chose singulière en tant que celle-ci doit être consi­dérée comme un légitime sujet d'attribution d'états, et la façon dont ce même concept dessine le rapport cognitif de l'esprit avec lui-même, rapport par lequel l'esprit se saisit comme sujet de ses états et qui ca­ractérise la notion (...) moderne de subjectivité. Ainsi, en éclairant cet as­pect du concept spinoziste de chose singulière. on comprendra aussi, de façon indirecte, l'une des conditions par lesquelles les choses peuvent, dans la doctrine spinoziste, devenir des objets ou des signes pour la connaissance humaine. (shrink)

Carey leaves unaddressed an important evolutionary puzzle: In the absence of a numeral list, how could a concept of natural number ever have arisen in the first place? Here we suggest that the initial development of natural number must have bootstrapped on a material culture scaffold of some sort, and illustrate how this might have occurred using strings of beads.

Livro-texto de introdução à lógica, com (mais do que) pitadas de filosofia da lógica, produzido como uma versão revista e ampliada do livro Forallx: Calgary. Trata-se da versão de 13 de outubro de 2022. Comentários, críticas, correções e sugestões são muito bem-vindos.

I defend a one category ontology: an ontology that denies that we need more than one fundamental category to support the ontological structure of the world. Categorical fundamentality is understood in terms of the metaphysically prior, as that in which everything else in the world consists. One category ontologies are deeply appealing, because their ontological simplicity gives them an unmatched elegance and spareness. I’m a fan of a one category ontology that collapses the distinction between particular and property, replacing it (...) with a single fundamental category of intrinsic characters or qualities. We may describe the qualities as qualitative charactersor as modes, perhaps on the model of Aristotelian qualitative (nonsubstantial) kinds, and I will use the term “properties” interchangeably with “qualities”. The qualities are repeatable and reasonably sparse, although, as I discuss in section 2.6, there are empirical reasons that may suggest, depending on one’s preferred fundamental physical theory, that they include irreducibly intensive qualities. There are no uninstantiated qualities. I also assume that the fundamental qualitative natures are intrinsic, although physics may ultimately suggest that some of them are extrinsic. On my view, matter, concrete objects, abstract objects, and perhaps even spacetime are constructed from mereological fusions of qualities, so the world is simply a vast mixture of qualities, including polyadic properties (i.e., relations). This means that everything there is, including concrete objects like persons or stars, is a quality, a qualitative fusion, or a portion of the extended qualitative fusion that is the worldwhole. I call my view mereological bundle theory. (shrink)

The genetic modification of pigs as a source of transplantable organs is one of several possible solutions to the chronic organ shortage. This paper describes existing ethical tensions in xenotransplantation (XTx) that argue against pursuing it. Recommendations for lifelong infectious disease surveillance and notification of close contacts of recipients are in tension with the rights of human research subjects. Parental/guardian consent for pediatric xenograft recipients is in tension with a child’s right to an open future. Individual consent to transplant is (...) in tension with public health threats that include zoonotic diseases. XTx amplifies concerns about justice in organ transplantation and could exacerbate existing inequities. The prevention of infectious disease in source animals is in tension with the best practices of animal care and animal welfare, requiring isolation, ethologically inappropriate housing, and invasive reproductive procedures that would severely impact the well-being of intelligent social creatures like pigs. (shrink)

It seems natural to choose whether to have a child by reflecting on what it would be like to actually have a child. I argue that this natural approach fails. If you choose to become a parent, and your choice is based on projections about what you think it would be like for you to have a child, your choice is not rational. If you choose to remain childless, and your choice is based upon projections about what you think it (...) would be like for you to have a child, your choice is not rational. This suggests we should reject our ordinary conception of how to make this life-changing decision, and raises general questions about how to rationally approach important life choices. (shrink)

The question I want to explore is whether experience supports an antireductionist ontology of time, that is, whether we should take it to support an ontology that includes a primitive, monadic property of nowness responsible for the special feel of events in the present, and a relation of passage that events instantiate in virtue of literally passing from the future, to the present, and then into the past.

I argue that we can understand the de se by employing the subjective mode of presentation or, if one’s ontology permits it, by defending an abundant ontology of perspectival personal properties or facts. I do this in the context of a discussion of Cappelen and Dever’s recent criticisms of the de se. Then, I discuss the distinctive role of the first personal perspective in discussions about empathy, rational deference, and self-understanding, and develop a way to frame the problem of lacking (...) prospective access to your future self as a problem with your capacity to imaginatively empathize with your future selves. (shrink)

This discussion revises and extends Jonny Anomaly's ‘public goods’ account of public health ethics in light of recent criticism from Richard Dees. Public goods are goods that are both non-rival and non-excludable. What is significant about such goods is that they are not always provided efficiently by the market. Indeed, the state can sometimes realize efficiency gains either by supplying such goods directly or by compelling private purchase. But public goods are not the only goods that the market may fail (...) to provide efficiently. This point to a way of broadening the public goods account of public health to accommodate Dees' counterexamples, without abandoning its distinctive appeal. On the market failures approach to public health ethics, the role of public health is to correct public health-related market failures of all kinds, so far as possible. The underlying moral commitment is to economic efficiency in the sense of Pareto: if we can re-allocate resources in the economy so as to raise the welfare of some without lowering the welfare of any other, we ought to do so. (shrink)

The self can be understood in objective metaphysical terms as a bundle of properties, as a substance, or as some other kind of entity on our metaphysical list of what there is. Such an approach explores the metaphysical nature of the self when regarded from a suitably impersonal, ontological perspective. It explores the nature and structure of the self in objective reality, that is, the nature and structure of the self from without. This is the objective self. I am taking (...) a different approach. In addition to objective reality, which is usually understood and explored from an impersonal, quasi-observational and metaphysically realist perspective, we can also explore the nature and structure of subjective reality. The nature and structure of subjective reality is defined by the nature and structure of first-personal, conscious experience. Subjective reality is as real as objective reality, and a metaphysical realist such as myself can endorse the existence of both kinds of ontology. The mental states that, as experienced from the first-personal or subjective perspective, capture the nature and structure of subjective reality, are included in objective reality. The questions to explore in a subjective ontology of the self concern the nature and structure of the self from the first-personal or subjective perspective, that is, the nature and structure of the self from within. This is the subjective self. (shrink)

Philosophers of experiment have acknowledged that experiments are often more than mere hypothesis-tests, once thought to be an experiment's exclusive calling. Drawing on examples from contemporary biology, I make an additional amendment to our understanding of experiment by examining the way that `wide' instrumentation can, for reasons of efficiency, lead scientists away from traditional hypothesis-directed methods of experimentation and towards exploratory methods.

Galileo’s Error is a superlative work of public philosophy, particularly as a way of introducing modern academic panpsychism to a broader audience. In this commentary, I reflect on an issue that is prominent, though often with different background concerns, in both academic and popular discourse: what it means to be ‘scientific’ or ‘unscientific’. Panpsychism is not itself a scientific hypothesis, but neither is it (as critics sometimes claim) in conflict with science. Indeed, Goff argues, and I agree, that panpsychism is (...) an eminently scientific worldview, in the sense of a way of viewing reality that accords with and embraces what science reveals. But what exactly it means to ‘accord with and embrace’ science is disputed; this paper tries to untangle some of the threads. (shrink)

Darwinism, especially in the form of the Modern Synthesis, has become one of the most influential theories in the worldwide scientific community. However, due to its often dogmatic interpretation, it is more and more orthodoxical. An increasing number of scientists have come to criticise Darwinism and go beyond it with a systemic approach and an expanded vision of the evolutionary process. As a matter of fact, the discovery of natural genetic engineering mechanisms shows that living cells are able to rewrite (...) their own genetic material at the genomic level, thus leading to evolutionary innovations. This teleological standpoint triggers a paradigm shift that could turn out to be a genuine scientific revolution. (shrink)

Politics, Philosophy & Economics, Volume 21, Issue 2, Page 165-189, May 2022. It is generally acknowledged that a certain amount of state intervention in health and health care is needed to address the significant market failures in these sectors; however, it is also thought that the primary rationale for state involvement in health must lie elsewhere, for example in an egalitarian commitment to equalizing access to health care for all citizens. This paper argues that a complete theory of justice in (...) health can be derived from a commitment to correcting market failure, or in other words promoting Pareto-efficiency, in the domain of health. This approach can address familiar problems around access to care, as well as problems related to resource allocation and rationing, the control of health care costs, and the foundations of public health. Egalitarian theories of justice in health cannot make sense of the depth and pervasiveness of state involvement in health and health care; only a theory rooted in the need to correct market failure can. (shrink)