ArgumentIn 1877, a young mathematician named Joseph Boussinesq presented amémoireto theAcadémiedes sciences which demonstrated that some differential equations may have more than one solution. Boussinesq linked this fact to indeterminism and to a possible solution to the free will versus determinism debate. Boussinesq's main interest was to reconcile his philosophical and religious views with science by showing that matter and motion do not suffice to explain all there is in the world. His argument received mixed criticism that addressed both his (...) philosophical views and the scientific content of his work, pointing to the physical “realisticness” of multiple solutions. While Boussinesq proved to be able to face the philosophical criticism, the scientific objections became a serious problem, thus slowly moving the focus of the debate from the philosophical plane to the scientific one. This change of perspective implied a wide discussion on topics such as instability, the sensitivity to initial conditions, and the conservation of energy. The Boussinesq debate is an example of a philosophically motivated debate that transforms into a scientific one, an example of the influence of philosophy on the development of science. (shrink)

Introduction au Numéro spécial de la Revue Philosophique de Louvain.

Numéro spécial de la Revue Philosophique de Louvain. Avec des contributions de Philippe Mongin, François Maniquet, Irènne Berthonnet, Louis Larue et Thomas M. Mueller.

Harold Hotelling’s articles in mathematical economics from the 1930s are classics. Some are keystones of entire sub-disciplines of economic theory such as location economics [Hotelling...

MARXISM: PHILOSOPHY AND ECONOMICS by Thomas Sowell. New York: William Morrow & Co., 1985. 281 pp., $15.95, $9.95 (paper).

In the first part of chapter 2 of book II of the Physics Aristotle addresses the issue of the difference between mathematics and physics. In the course of his discussion he says some things about astronomy and the ‘ ‘ more physical branches of mathematics”. In this paper I discuss historical issues concerning the text, translation, and interpretation of the passage, focusing on two cruxes, the first reference to astronomy at 193b25–26 and the reference to the more physical branches at 194a7–8. In (...) section I, I criticize Ross’s interpretation of the passage and point out that his alteration of has no warrant in the Greek manuscripts. In the next three sections I treat three other interpretations, all of which depart from Ross's: in section II that of Simplicius, which I commend; in section III that of Thomas Aquinas, which is importantly influenced by a mistranslation of, and in section IV that of Ibn Rushd, which is based on an Arabic text corresponding to that printed by Ross. In the concluding section of the paper I describe the modern history of the Greek text of our passage and translations of it from the early twelfth century until the appearance of Ross's text in 1936. (shrink)

Essays discuss reason and understanding, interpretation, language, meaning, the human sciences, social sciences, and general hermeneutic theory.

I discuss the knowledge account of legal proof in Moss (2023) and develop an alternative. The unifying thread throughout this article are reflections on the beyond reasonable doubt (BRD) standard of proof. In Section 1, I will introduce the details of Moss’s account and how she motivates it via the BRD standard. In Section 2, I will argue that there are important disanalogies between BRD and knowledge that undermine Moss’s argument. There is however another motivation for the knowledge account: combined (...) with auxiliary claims, that is probabilistic knowledge and moral encroachment, it can provide a general solution to the puzzle of statistical evidence. Section 3 spells out the details. In Section 4, I suggest to combine the knowledge account with pragmatic encroachment, instead of moral encroachment, in order to stay clear of the thorny issues whether corporations have moral rights. In Section 5, I argue that the verdicts of Moss’s account in cases of false justified beliefs and non-luminous knowledge conflict with the BRD standard and thus call for abandoning the account. Based on the social function of the BRD standard, I suggest a replacement for the knowledge account that is also just as potent as a general solution for the puzzle of statistical evidence. While I will grant that knowledge is neither always necessary nor always sufficient for convictions, I will argue that the concept of knowledge nonetheless plays a significant and ineliminable role in legal decision-making. (shrink)

Issues of reliability are claiming center-stage in the epistemology of machine learning. This paper unifies different branches in the literature and points to promising research directions, whilst also providing an accessible introduction to key concepts in statistics and machine learning – as far as they are concerned with reliability.

"A type of book we always long to read for peace and joy in any nation, Father Dr. JoeBarth Abba touched many areas amidst orgies of circles of terrorisms, Islamic insurgents with key solutions for psycho-dialogical ways on cultural ethnic tensions for conflicts resolution." --Gerhard Ludwig Cardinal Mueller, Vatican, Rome ***The book presents an inquiry into the thoughts and scholasticism of Thomas Aquinas, his classical philosophical synthesis, his insights, and the quest for Justice and Human Rights as a panacea (...) or desired urgent solution to racial justice, abuse of human life, and human rights. Dissertation. (Series: Philosophy / Philosophie, Vol. 108) [Subject: African Studies, Human Rights Studies, Philosophy, Christian Studies, Thomas Aquinas]. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Studies in Plato's Two-Level ModelIan MuellerHolger Thesleff. Studies in Plato's Two-Level Model. Helsinki: Societas Scientarum Fennica, 1999. Pp. vi + 143. N. P.After some 30 years of incisive intervention in Platonic scholarship, Holger Thesleff here offers us "an attempt to elaborate and ground more firmly some basic theses which I have propounded in various contexts before," (1) a rather modest description of what he also describes as an (...) attempt to contribute toward "a more general agreement on how to read and interpret Plato" (5). The richness of this book makes it impossible to describe in any detail, and I shall content myself with indicating some of what I take to be its principal points of view.Thesleff"s concern for agreement arises from his perception of the vastly discrepant schools of Plato interpretation, of which the most important for him might be labeled esotericist, analytic, and "literary." The last, which can hardly be called a school at all, includes a variety of scholars who downplay "literal" interpretation and emphasize such things as "dramatic artistry, the structure of the dialogues, the characterization of settings and persons, shifts of style, allusions, play, and irony" (3). Thesleff's sympathies clearly lie with these people, perhaps to an extent which, as I shall suggest, will limit the effectiveness of his attempt to move toward a consensus.As the title indicates Thesleff builds his reading around what he calls Plato's two-level model. This two-level model is not, as one might suppose, what has been called Plato's two worlds view, the belief in a world of pure being beyond the perceived world we inhabit. Indeed, it is not a doctrine or set of doctrines at all. Rather "it is an intuitive 'vision' which offers only crude basic patterns and frames for the structures of Plato's thinking, feelings, intuitions, and intentions, from his youth to his old age, and for our understanding of them" (123). Clearly one cannot expect a full and precise articulation of this vision. Thesleff proceeds by discussing in terms of their role in the earlier dialogues ten hierarchic pairs which form part of Plato's vision: divine/human, soul/body, leading/being led (particularly important in the conduct of a Socratic discussion), truth/appearance, knowledge/opinion, intellect/senses, defined/undefined, stability/change, one/many, same/different. These hierarchic or asymmetric pairs are contrasted by Thesleff with what he calls polar opposites like large/small and light/dark. He also stresses that the hierarchic pairs of Plato's two-level model involve no separation (chorismos), but rather a communion (koinônia).As the words "from his youth to his old age" in the quotation of the previous paragraph indicate, Thesleff is a "unitarian" in his approach to Plato. His Plato is not a philosopher whose positions changed through time as a result of reasoned argument. What many scholars take to be doctrines later given up, e.g., the view that learning is being reminded (anamnêsis), are "thought experiments," which are not followed up, thought experiments made within the context of the unchanging two-level vision.Although Thesleff is a unitarian in the sense I have indicated, he does believe that a kind of order of composition can be constructed for the dialogues. I say "kind of" because Thesleff's chronology involves assumptions of revisions over time, multiple authorship, and even dialogues "written down" by people other than Plato. The resulting chronology is complex, and I here only indicate it in rough form in a way which [End Page 272] brings out what I take to be its major points. Leaving out of account those Socratic" dialogues which Thesleff takes to be latish and the posthumously completed Laws, we can say that a series of late dialogues starts with the Parmenides and includes the Timaeus, Critias, Sophist, Politicus, and Philebus. All other dialogues, including the Theaetetus, were written prior to the Parmenides with the exception of the Republic, which Thesleff proposes is in its ultimate shape a late work, representing "only and purely Plato's 'own' and personal philosophy" (115). As for the other late dialogues, which have played an important... (shrink)

This book represents a considerable revision and expansion of Public Choice II. Six new chapters have been added, and several chapters from the previous edition have been extensively revised. The discussion of empirical work in public choice has been greatly expanded. As in the previous editions, all of the major topics of public choice are covered. These include: why the state exists, voting rules, federalism, the theory of clubs, two-party and multiparty electoral systems, rent seeking, bureaucracy, interest groups, dictatorship, the (...) size of government, voter participation, and political business cycles. Normative issues in public choice are also examined including a normative analysis of the simple majority rule, Bergson–Samuelson social welfare functions, the Arrow and Sen impossibility theorems, Rawls's social contract theory and the constitutional political economy of Buchanan and Tullock. (shrink)

Thomas Reid, the Scottish natural and moral philosopher, was one of the founding members of the Aberdeen Philosophical Society and a significant figure in the Scottish Enlightenment. Reid believed that common sense should form the foundation of all philosophical inquiry. He criticised the sceptical philosophy propagated by his fellow Scot David Hume and the Anglo-Irish bishop George Berkeley, who asserted that the external world did not exist outside the human mind. Reid was also critical of the theory of ideas (...) propagated by Locke and Descartes, arguing that it was incompatible with physical and experiential facts. For Reid, our senses demonstrate that the external world must exist, and this work is organised in chapters examining each of the senses in turn. The book, based on his lectures, was first published in 1764 when Reid was a regent professor at King's College, Aberdeen, and was reissued in 1818. (shrink)

Focusing on the problem of the Prime Matter in the Philoponus' Contra Proclum (Book XI), this study offers the first translation, in French, extensively annoted and commented in the context of the 'quaestio disputata' of the Neoplatonic ...

The application of machine-learning technologies to medical practice promises to enhance the capabilities of healthcare professionals in the assessment, diagnosis, and treatment, of medical conditions. However, there is growing concern that algorithmic bias may perpetuate or exacerbate existing health inequalities. Hence, it matters that we make precise the different respects in which algorithmic bias can arise in medicine, and also make clear the normative relevance of these different kinds of algorithmic bias for broader questions about justice and fairness in healthcare. (...) In this paper, we provide the building blocks for an account of algorithmic bias and its normative relevance in medicine. (shrink)

Cette étude essaye d’établir qu’il y a deux notions très différentes de « fondation » à l’œuvre dans les Recherches logiques de Husserl. Dans la IIIème Recherche, où le terme est formellement introduit, lorsqu’il se demande quels sont les contenus qui peuvent exister d’une manière autonome (indépendants) et lesquels peuvent exister uniquement en tant que moments d’autre chose (dépendants), Husserl suit ce que j’appelle un « modèle ontologique ». Selon ce modèle, le concret possède une priorité sur à l’abstrait qui (...) est fondé en lui. Dans la VIème Recherche, en revanche, Husserl s’oriente principalement sur un « modèle gnoséologique » qui voit le complexe comme fondé sur ce qui est relativement simple, étant donné que les expériences d’ordre supérieur (telles les perceptions de types d’objets plus complexes) sont « fondées sur » des expériences plus simples, bien qu’elles ne puissent pas y être réduites. L’exemple principal ici est celui des intuitions catégoriales : fondées sur les intuitions sensibles, elles n’y sont pas réductibles. Mais cette distinction entre deux sens différents du terme de « fondation » peut également nous aider à mieux comprendre de nombreuses thèses husserliennes plutôt controversées. Par exemple, elle peut nous permettre de mieux comprendre dans quelle mesure faire l’expérience d’un être humain comme un tout se fonde sur l’expérience d’un corps physique, et cela même si l’étant que nous rencontrons inclut à la fois des aspects corporels et des aspects spirituels – les deux étant vus, d’une manière essentielle, comme des moments de cette unique personne qui fait l’objet de notre expérience. (shrink)

Big Ideas for Little Kids includes everything a teacher, a parent, or a college student needs to teach philosophy to elementary school children from picture books. Written in a clear and accessible style, the book explains why it is important to allow young children access to philosophy during primary-school education. Wartenberg also gives advice on how to construct a "learner-centered" classroom, in which children discuss philosophical issues with one another as they respond to open-ended questions by saying whether they agree (...) or disagree with what others have said. (shrink)

The development of artificial intelligence (AI) in medicine raises fundamental ethical issues. As one example, AI systems in the field of mental health successfully detect signs of mental disorders, such as depression, by using data from social media. These AI depression detectors (AIDDs) identify users who are at risk of depression prior to any contact with the healthcare system. The article focuses on the ethical implications of AIDDs regarding affected users’ health-related autonomy. Firstly, it presents the (ethical) discussion of AI (...) in medicine and, specifically, in mental health. Secondly, two models of AIDDs using social media data and different usage scenarios are introduced. Thirdly, the concept of patient autonomy, according to Beauchamp and Childress, is critically discussed. Since this concept does not encompass the specific challenges linked with the digital context of AIDDs in social media sufficiently, the current analysis suggests, finally, an extended concept of health-related digital autonomy. (shrink)