Discovering the underlying mathematical expressions describing a dataset is a core challenge for artificial intelligence. This is the problem of symbolic regression. Despite recent advances in training neural networks to solve complex tasks, deep learning approaches to symbolic regression are underexplored. We propose a framework that leverages deep learning for symbolic regression via a simple idea: use a large model to search the space of small models. Specifically, we use a recurrent neural network to emit a distribution over tractable mathematical (...) expressions and employ a novel risk-seeking policy gradient to train the network to generate better-fitting expressions. Our algorithm outperforms several baseline methods (including Eureqa, the gold standard for symbolic regression) in its ability to exactly recover symbolic expressions on a series of benchmark problems, both with and without added noise. More broadly, our contributions include a framework that can be applied to optimize hierarchical, variable-length objects under a blackbox performance metric, with the ability to incorporate constraints in situ, and a risk-seeking policy gradient formulation that optimizes for best-case performance instead of expected performance. (shrink)

Rebirth and the Stream of Life explores the diversity as well as the ethical and religious significance of rebirth beliefs, focusing especially on Hindu and Buddhist traditions but also discussing indigenous religions and ancient Greek thought. Utilizing resources from religious studies, anthropology and theology, an expanded conception of philosophy of religion is exemplified, which takes seriously lived experience rather than treating religious beliefs in isolation from their place in believers' lives. Drawing upon his expertise in interdisciplinary working and Wittgenstein-influenced approaches, (...) Mikel Burley examines several interrelated phenomena, including purported past-life memories, the relationship between metaphysics and ethics, efforts to 'demythologize' rebirth, and moral critiques of the doctrine of karma. This range of topics, with rebirth as a unifying theme, makes the book of value to anyone interested in philosophy, the study of religions, and what it means to believe that we undergo multiple lives. (shrink)

Este artículo describe la evolución de los recursos de acogimiento residencial en el contexto del Estado Español, comenzando por la época de la dictadura franquista hasta la actualidad. Explicamos cómo fueron financiados los recursos mediante los cuales se daba ayuda a las personas menores de edad en situación de vulnerabilidad. Asimismo, se analiza la evolución de dichos recursos hasta hoy en día. Estos recursos se han ido profesionalizando a lo largo del tiempo y, hoy en día, dan respuestas especificas a (...) diferentes necesidades de los niños, niñas, adolescentes y jóvenes del territorio histórico de Bizkaia.Recibido. (shrink)

This article contributes to the ongoing debate initiated by Bernard Williams’ claim that, due to the non-contingent finitude of the categorical desires that give meaning to our lives, an immortal life would necessarily become intolerably boring. Jeremy Wisnewski has argued that even if immortality involves periods in which our categorical desires have been exhausted, this need not divest life of meaning since some categorical desires are revivable. I argue that careful reflection upon the thought-experiments adduced by Wisnewski reveals that they (...) do not substantiate his proposal, and hence that a plausible reason for rejecting Williams’ position has not been provided. (shrink)

This paper examines and classifies the computational complexity of model checking and satisfiability for hybrid logics over frames with equivalence relations. The considered languages contain all possible combinations of the downarrow binder, the existential binder, the satisfaction operator, and the global modality, ranging from the minimal hybrid language to very expressive languages. For model checking, we separate polynomial-time solvable from PSPACE-complete cases, and for satisfiability, we exhibit cases complete for NP, PS pace , NE xp T ime , and even (...) N2E xp T ime . Our analysis includes the versions of all these languages without atomic propositions, and also complete frames. (shrink)

the aim of this paper is to prove that secession is inherently undemocratic. We will review the secessionist arguments: the one that starts from a wrong idea of selfgovernment and the one that starts from liberalism. then, we will oppose objections to both: defending the value of equality; rejecting internal homogeneity claims; picking up Buchanan’s classic objections; and finally, reformulating, with Habermas and Pogge, a concept of self-government in order to deduce that it is not legitimate to draw more boundaries (...) because an ideal democracy would require to eliminate the current borders. (shrink)

Samkhya and Yoga are two of the oldest and most influential systems of classical Indian philosophy. This book provides a thorough analysis of the systems in order to fully understand Indian philosophy. Placing particular emphasis on the metaphysical schema which underlies both concepts, the author aptly develops a new interpretation of the standard views on Samkhya and Yoga. Drawing upon existing sources and using insights from both eastern and western philosophy and religious practice, this comprehensive interpretation is respectful to the (...) underlying spiritual purpose of the Indian systems. It serves to illuminate the relation between the theoretical and practical dimensions of Samkhya and Yoga. The book fills a gap in current scholarship. It will be of interest to those concerned with Indology as well as philosophies in general and their similarities and differences with other traditions. (shrink)

As with most great works of art, great films are typically amenable to multiple interpretations, and there need be no determinate answer to which interpretation is ‘right’ or even the ‘best’. Yet some interpretations can render a work more compelling—perhaps more morally or religiously deep—than others. And that might be one reason for preferring the interpretation in question. This article focuses on Woody Allen’s "Crimes and Misdemeanors", which has often been construed as an attempt to illustrate the thesis that crime (...) sometimes pays. I call this the unjust reading of the film and contrast it with the just reading. I argue, however, that both these readings presuppose a consequentialist conception of justice that is not the only conception available. Reinterpreted from a perspective of intrinsic justice, the film gains a depth that is unavailable in the light of the other interpretations. (shrink)

The significance of narrative artworks as resources for, and possibly as instances of, philosophical thinking has increasingly been recognized over recent decades. Utilization of such resources in philosophy of religion has, however, been limited. Focusing on film in particular, this article develops an account of film’s importance for a ‘contemplative’ approach to philosophizing about religious ethics, an approach that prioritizes the elucidation of possibilities of sense over the evaluation of ‘truth claims’. Taking Dead Man Walking as a case in point, (...) the article shows how this film facilitates an enhanced comprehension of specific concepts, most notably the concepts of faith, truth and love, as they feature within a characteristically Christian form of life. (shrink)

How should a philosophical inquiry into the moral status of (nonhuman) animals proceed? Many philosophers maintain that by examining the “morally relevant” psychological or physiological capacities possessed by the members of different species, and comparing them with similar capacities possessed by human beings, the moral status of the animals in question can be established. Others contend that such an approach runs into serious moral and conceptual problems, a crucial one being that of how to give a coherent account of the (...) natural sense of concern for profoundly cognitively impaired human beings if moral status is assumed to depend on features that centrally include cognitive capacities. The present article discusses this debate with reference to Wittgenstein-influenced philosophers whose respective approaches, on the face of it, diverge dramatically. With a primary focus on Hans-Johann Glock and Cora Diamond, and a secondary focus on recent work by Alice Crary, I argue that, despite an overt disavowal of the kind of approach favoured by Diamond and Crary, Glock’s affirmation that we simply do “value human life” brings him closer to that approach than he acknowledges. (shrink)

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be (...) preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

This article questions the assumption, held by several philosophers, that the Epicurean argument for death's being ?nothing to us? must be fallacious since its acceptance would undermine the principle that killing is (in general) wrong. Two possible strategies are considered, which the Epicurean-sympathizer might deploy in order to show that the non-badness of death (for the person who dies) is compatible with killing's being wrong. One of these is unsuccessful; the other is more promising. It involves arguing that the wrongness (...) of killing is a ?basic moral certainty? and hence requires no underpinning by the judgement that death is bad. Problems for this proposal, and possible responses to those problems, are considered. Though the strategy is not decisive, it is deemed to be one that the Epicurean could plausibly adopt. (shrink)

Does it make sense to think of eternal life not as an unending continuation of life subsequent to death but as fully actualized in one’s present mortal and finite life? After outlining conceptual and moral reasons for being troubled by the notion of an endless life, this article draws upon the thought of major Christian theologians and philosophers of religion to expound the idea of eternal life as a possession exclusively of the life one is presently living. Supplementing the claims (...) of religious thinkers with notions of four-dimensionalism and eternalism from theoretical physics and the philosophy of time, and considering important objections to the conception of eternal life in question, I argue for both the conception’s intelligibility and its ethical and spiritual profundity. (shrink)

Recent decades have witnessed a growing interest in narrative both in certain areas of philosophy and in the study of religion. The philosophy of religion has not itself been at the forefront of this narrative turn, but exceptions exist—most notably Eleonore Stump’s work on biblical stories and the problem of suffering. Characterizing Stump’s approach as an apologetic orientation, this article contrasts it with pluralistic orientations that, rather than seeking to defend religious faith, are concerned with doing conceptual justice to the (...) range of possible human perspectives, both religious and nonreligious. By discussing various examples, the article makes a case for narrative philosophy of religion, especially in its pluralistic form. (shrink)

A defining feature of retributive conceptions of karma is their regarding of suffering or misfortune as consequent upon sins committed in previous lives. Some critical non-believers in karma take offence at this view, considering it to involve unjustly blaming the victim. Defenders of the view demur, and argue that a belief in retributive karma in fact provides a motivation for benevolent action. This article elucidates the debate, showing that its depth is such that it is best characterized as a disagreement (...) in form of life (in Wittgenstein’s sense) rather than as a disagreement in opinions. Also briefly discussed is an example of a non-retributive form that belief in karma and reincarnation can take. (shrink)

In 1980 Morris Kline wrote this engaging book, in which he took on many of the myths about the nature and history of mathematics. This new edition will probably be as seldom read as the original, which is too bad because it contains important messages, including perhaps some comfort for anomalies researchers. I will briefly present an overview of the book’s contents, and then say what I think these comforts are. · · · The ancient Greeks developed the seed of (...) what we now think of as mathematics. Kline points out that their mathematical concepts arose from consideration of the natural world, and then the fact that numbers, shapes, and relationships corresponded to things in the real world convinced them that reality itself was in some mystical way generated by numerical principles. The regular patterns that they found in geometric forms and simple integers reflected the regularities of nature, and so provided keys to understanding how things were, and why they were that way. The faith that mathematics lay behind the mundane world of observations became an unquestioned truth, at least as important as the practical techniques the Greeks devised, and passed along through the Middle East and the medieval period to modern Europe. (shrink)

Reseña de la obra de Parellada, Ricardo. El orgullo ¿vicio o virtud? Madrid: Síntesis, 2019.

Was Jesus Christ a deluded prophet who expected an imminent collapse of the world followed by the dawning of a kingdom that has never eventuated? Some who reject Christianity think that he was, and as a consequence are highly suspicious about any other claims that are attributed to Jesus. However, other interpretations of the apparently eschatological pronouncements in the New Testament exist, one of which is realized eschatology, this being the idea, roughly, that the kingdom or reign of God was (...) realized in or through the ministry of Jesus itself. Debates surrounding the competing interpretations of New Testament eschatology raise fascinating issues, both exegetical and conceptual. Exploring some of these issues from the perspective of philosophy of religion, informed by theological and biblical studies, this article argues that realized eschatology is a religious option that, contrary to common criticisms, is neither incoherent nor implausibly reductive. (shrink)

This paper responds to Severin Schroeder's recent charge that Wittgenstein's philosophy of religion contains an ‘unresolved tension’ between three propositions, namely: (1) ‘As a hypothesis, God's existence (&c) is extremely implausible’; (2) ‘Christian faith is not unreasonable’; and (3) ‘Christian faith does involve belief in God's existence (&c)’. I argue as follows: that the first of these propositions has no place in Wittgenstein's thinking on religion; that the second is ill-phrased and should be re-worded as the proposition that ‘Christian faith (...) is neither unreasonable nor reasonable’; and that the third proposition (contrary to what Schroeder seems to assume) tells us nothing about the nature of the objects of religious belief. It follows from my argument that Schroeder has not exposed a tension in Wittgenstein's thoughts on religion. I end with some positive remarks about Wittgenstein's method. (shrink)

My dissertation deals with the Master Argument of Diodorus Cronus, a contemporary of Aristotle's. The argument was one of the most famous pieces of temporal and modal reasoning in ancient philosophy. It purports to prove that a proposition is possible if and only if it is true or will be true. The argument runs as follows: Everything that is past and true is necessary; The impossible does not follow the possible; Therefore, nothing is possible which neither is nor will be (...) true. Unfortunately, all accounts of the Master that have survived are so sketchy that we cannot determine whether the argument is valid or not. ;Several reconstructions of Diodorus' argument have been proposed. The purpose of the reconstructions is to show, using the resources of modal and tense logics, that the argument is valid. I analyze and critique most of these proposals, arguing in the final chapter for a new reconstruction which I believe to be more defensible than existing ones. ;The Master Argument is important for several reasons. It elicited much discussion among ancient philosophers and logicians both because of its reduction of modal logic to tense logic and its bearing on the free will/determinism debate. But, its influence also extends to contemporary philosophy and logic. In the 1950s and 60s, the Master inspired formal work on Diodorean systems. Much of the work on the calculus of tenses, e.g., by Prior, was undertaken in view of investigating Diodorus' argument. Finally, the literature that the argument has spawned has enriched and deepened our understanding of the connections between matters modal and temporal. (shrink)

En este artículo se analiza el origen y desarrollo del concepto de sistema de innovación, así como su recepción en España. En primer lugar, se examinan las bases conceptuales de la perspectiva del “sistema nacional de innovación” (SNI). A continuación, se analiza la aplicación que se ha hecho de una de las variantes con mayor desarrollo: el “sistema regional de innovación” (SRI). Se dedica una especial atención a la problemática de la innovación en las pymes. Por último, a través de (...) una encuesta realizada entre autores con publicaciones en este campo, se estudia la recepción y aplicación del concepto del SNI/SRI en España. (shrink)

Ludwig Wittgenstein was an outstanding 20th-century philosopher whose influence has reverberated throughout not only philosophy but also numerous other areas of inquiry, including theology and the study of religions. Exemplifying how Wittgenstein's thought can be engaged with both sympathetically and critically, Wittgenstein, Religion and Ethics pushes forward our thinking about religion and ethics and their place in the modern world. Bringing Wittgenstein's ideas into productive dialogue with several other important thinkers, including Elizabeth Anscombe, St Thomas Aquinas, Georg Cantor, Søren Kierkegaard (...) and George Orwell, this collection fosters a highly informative picture of how different strands of contemporary and historical thought intersect and bear upon one another. Chapters are written by leading scholars in the field and tackle current debates concerning religious and ethical matters, with particular attention to the nature of religious language. This is a substantial contribution to religion and ethics, demonstrating the significance of Wittgenstein's ideas for these and related subjects. (shrink)

“Grief” describes a pattern which recurs, with different variations, in the weave of our life.[I]n grief nothing ‘stays put’. One keeps on emerging from a phase, but it always recurs. Round and round. Everything repeats.Wittgenstein was apt to point out that many of the things we do are not based on reasons, opinions, or beliefs, and hence are not amenable to any explanation that could make them more intelligible to us than they are already—at least, no explanation of the sort (...) that tries to tell us what the thing or form of behavior is for. When it comes down to it, they are simply what we do. They are there, “like our life.”3 If asked why these things are done, “We can only describe and say, human life is like.. (shrink)

After examining arguments for and against the view that death is a bad thing, Mikel Burley tentatively endorses the Epicurean claim that death cannot rationally be judged bad. For moral reasons, however, this conclusion is acceptable only with regard to one's own death.

"This collection of essays on aesthetics is the first set of Dufrenne's shorter pieces to appear in English. It is arranged thematically and includes works from as early as 1948 to as late as 1974.... In these essays Dufrenne covers a lot of ground and draws into his discussion of aesthetics a whole range of thinkers, including Barthes, Foucault, Lyotard, Metz, Freud and Derrida.... These essays are well worth reading both for the quality of the writing and for the continual (...) insights which come to the surface along the way. The text has been devotedly translated and a helpful introduction has been added." -- David Pollard, British Journal of Aesthetics. (shrink)

Who owns nature? The question could be less important than reducing animal sufferings in nature. It does not matter if nature does not belong to anyone or if it belongs to someone, because in both cases there are limitations, linked with animal welfare, regarding what we should do in nature. Sentient beings have interests that we must take into account when designing environmental policies. Since neither ecosystems nor plants have interests, preserving nature is less important than reducing animal sufferings. The (...) relevant moral issue is, therefore, knowing what happens to sentient animals in nature and developing policies to reduce their sufferings. This implies that we have the moral obligation of intervening in nature with the aim of reducing animal sufferings, so conservationist environmental policies defended by ecologists are morally unacceptable. (shrink)

The fictional case of Elina Makropulos has been a focus for philosophical reflections on immortality. Here Mikel Burley presents a conversation between Elina and two imaginary philosophers.

Les tomes 1 et 2 qui rassemblent une trentaine d'articles le premier, rdition d'un livre qui avait inaugur la Collection d'Esthtique en 1967 sont l'oeuvre d'un philosophe qui a dcouvert dans l'esthtique une voie privilgie vers une philosophie de la nature. Mikel Dufrenne y explore des thmes qui hantent la rflexion contemporaine sur l'art: l'art comme [non-]langage, l'oeuvre comme objet ou vnement, l'criture et le style, le jeu, la perception sauvage, le retour vers l'originaire. Chemin faisant, il rencontre les (...) appareils conceptuels en vogue: structuralisme, smiologie, psychanalyse, marxisme; il en use, mais avec rserve, sans se laisser sduire ou terroriser; et c'est en solitaire qu'il poursuit sa route, sans moyens, sans pouvoir. Mais il ne s'y sent pas seul: une esthtique non dogmatique dbouche sur le politique, et il veut tre l'cho de tous ceux qui en appellent un art autre, libr et librateur, joyeux, et qui rvent que la pratique de cet art contribue faire la vie autre dans un monde autre. Mikel Dufrenne n'est pas un philosophe triste. Si vous prfrez Thanatos Eros, ne le lisez pas! (shrink)

This article reflects upon the debate, initiated by Bernard Williams in 1973, concerning the desirability of immortality, where the latter expression is taken to mean endless bodily life as a human or humanoid being. Williams contends that it cannot be desirable; others have disputed this contention. I discuss a recent response from Timothy Chappell and attempt to pinpoint the central disagreement between Chappell and Williams. I propose that neither side in the debate has firm grounds for its claims, and then (...) proceed to consider four reasons for suspecting that the whole debate has yet to be placed on a conceptually coherent footing. (shrink)

Among the philosophical and theological responses to the phenomenon of religious diversity, religious pluralism has been both prominent and influential. Of its various proponents, John Hick and John Cobb represent two important figures whose respective positions, especially that of Hick, have done much to shape the debate over religious pluralism. This article critically analyses their positions, arguing that, by unhelpfully homogenizing religious perspectives, each of them fails to do justice to the radical diversity that exists. As an alternative to these (...) homogenizing tendencies, the article builds upon D. Z. Phillips’ contemplative conception of philosophy to develop a radical pluralist approach, which prioritizes a deepening of understanding of religious diversity rather than the promotion of one’s own theological preferences. (shrink)

Many publications in the field of animal ethics consider the theories of Peter Singer and Tom Regan as the main arguments for the direct moral consideration of non human animals. This paper argues that both those theories have to face serious problems that make them difficult to accept and to apply, and proposes instead an alternative based on the recent work of M. C. Nussbaum. She has drafted a theory in favor of the direct moral consideration of non human animals, (...) which solves part of the problems that the proposals of Singer and Regan could not. (shrink)