It is widely known that Aristotle rules out the existence of actual infinities but allows for potential infinities. However, precisely why Aristotle should deny the existence of actual infinities remains somewhat obscure and has received relatively little attention in the secondary literature. In this paper I investigate the motivations of Aristotle’s finitism and offer a careful examination of some of the arguments considered by Aristotle both in favour of and against the existence of actual infinities. I argue that Aristotle has (...) good reason to resist the traditional arguments offered in favour of the existence of the infinite and that, while there is a lacuna in his own ‘logical’ arguments against actual infinities, his arguments against the existence of infinite magnitude and number are valid and more well grounded than commonly supposed. (shrink)

In his paper ‘Wang’s Paradox’, Michael Dummett provides an argument for why strict finitism in mathematics is internally inconsistent and therefore an untenable position. Dummett’s argument proceeds by making two claims: (1) Strict finitism is committed to the claim that there are sets of natural numbers which are closed under the successor operation but nonetheless have an upper bound; (2) Such a commitment is inconsistent, even by finitistic standards. -/- In this paper I claim that Dummett’s argument fails. I question (...) both parts of Dummett’s argument, but most importantly I claim that Dummett’s argument in favour of the second claim crucially relies on an implicit assumption that Dummett does not acknowledge and that the strict finitist need not accept. (shrink)

This chapter examines some issues concerning the structure of time. It considers arguments for and against Temporal Finitism. Temporal Discretism is a kind of Finitism: any finitely extended interval is made up of only finitely many indivisible units of time. In the chapter, the authors assume for the sake of argument that Intervalism is true, that is, that some temporally extended intervals and processes are among the world's fundamental entities. The main argument for Intervalism is that it follows from the (...) metaphysical impossibility of certain infinitary scenarios involving super‐tasks. Strong Intervalism denies that instants are fundamental, while Moderate Intervalism, or Interval‐Boundary Dualism, embraces the fundamentality of both instants and intervals. Infinitary Intervalism is relative to the three competing theories of Aristotelian Temporal Finitism, Temporal Discretism, and Instantism. In the chapter, the authors also assume that all Intervalists are either Discretists or Aristotelian Finitists, and that all Instantists are Temporal Infinitists. (shrink)

This chapter examines whether space and extended bodies are ultimately composed of points (and point‐masses) or spatial regions (and voluminous bodies). It focuses on three positions: Pointillism, according to which only points and point‐sized bodies are fundamental; Voluminism, according to which the only fundamental things are regions and voluminous bodies; and Volume‐Boundary Dualism, according to which both points and regions really exist and are equally fundamental. The first prima facie problem for Voluminism concerns continuous variation. The chapter looks at the (...) idea of constructing points from regions and concerns whether points or regions are fundamental. It lays out three arguments against Pointillism, the thesis that points are the only fundamental entities, namely, the arguments from Finitism, from mathematical paradoxes, and from the nature of contact. Aristotelian Finitists can explain why some sets of points have measurable volume and why some do not. (shrink)

This article is concerned with two interrelated questions: what, if anything, distinguishes synthetic from natural organisms, and to what extent, if any, creating the former is of moral significance. These are ontological and ethical questions, respectively. As the title indicates, I address both from a broadly neo-Aristotelian perspective, i.e. a teleological philosophy of life and virtue ethics. For brevity’s sake, I shall not argue for either philosophical position at length, but instead hope to demonstrate their legitimacy through their explanatory (...) power. I firstly argue that synthetic organisms differ in kind from natural organisms and machines, and differ only by degree from genetically modified organisms. I then suggest that this is nevertheless sufficient to give us specific ethical reservations about synthetic biology: namely, that more than any other widely used biotechnology, it is characterised by a drive to mastery that stands opposed to due appreciation of the giftedness of life. (shrink)

This paper focuses on Aristotelian phronesis and aims at highlighting its nature as an eye on particulars with general ends in sight. More specifically, it challenges the particularistic interpretation of phronesis and Aristotelian ethics in order to argue for a “qualified generalism.” After sketching a radical Particularistic Reading (PR), the paper defends an interpretation it calls the Priority of Particulars Reading (PPR). First, it shows how PPR effectively accounts for the Aristotelian priority assigned to practical perception while (...) at the same time counterbalancing that priority by means of two interpretive strategies. Then it offers further support to PPR by appealing to its own reading of Aristotle's phronesis. It aims to show that it is possible to defend a legitimate form of PPR without ending in holding PR, and that Aristotle's own theory and work ground the moderate reading. Finally, it draws some implications by analyzing educational practice. (shrink)

To teach that being ethical requires knowing foundational ethical principles – or, as Socrates claimed, airtight definitions of ethical terms – is to invite cynicism among students, for students discover that no such principles can be found. Aristotle differs from Socrates in claiming that ethics is about virtues primarily, and that one can be virtuous without having the sort of knowledge that characterizes mathematics or natural science. Aristotle is able to demonstrate that ethics and self-interest may overlap, that ethics is (...) largely compatible with common sense, and that Aristotle’s virtuous person can make ethical decisions rationally. Case studies can help students improve their ethical perception and keep their values from being overwhelmed by corporate culture. (shrink)

Confucianism is potentially relevant to business ethics and business practice in many ways. Although some scholars have seen Confucian thought as applicable to corporate social responsibility :433–451, 2009) and to corporate governance :30–43, 2013), only a few business ethicists :415–431, 2001b; Journal of Business Ethics 116:703–715, 2013; Romar in Journal of Business Ethics 38:119–131, 2002; Lam in The Analects, Penguin Classics, London, 2003; Chan in Journal of Business Ethics 77:347–360, 2008; Woods and Lamond in Journal of Business Ethics 102:669–683, 2011) (...) have taken seriously the possibility that Confucius may have important insights to offer regarding virtue ethics, which has now become the most popular normative theory as evidenced by the number of recent articles published in business ethics journals :287–318, 2017). This paper aims to help rectify this oversight. The paper focuses on several distinctive aspects of Confucian ethics, discussing both how Confucius’ approach differs from Aristotelian virtue ethics in significant ways and how these key differences suggest numerous directions for future research. (shrink)

Finally, he looks at,the various kinds of unity of the body, both in itself and in its union with the soul.Spirits and Clocks continues Des Chene's highly ...

O problema da causação descendente é um ponto central na formulação do fisicalismo não-redutivo e na compreensão da emergência de propriedades. Duas interpretações possíveis da causação descendente, nas quais a contribuição do pensamento aristotélico é importante, são examinadas. Os requisitos do programa de matematização da natureza na mecanica clássica, que levaram ao abandono de três dos modos causais aristotélicos, nao parecem igualmente importantes nas ciencias especiais. Isto sugere que a contribuição de Aristóteles pode ser, de certa maneira, retomada. Uma definição (...) de propriedade emergente é apresentada, sendo a causação descendente interprerada de acordo com os modos causais formal e funcional.The problem of downward causation is a key subject in the formulation of nonreductive physicalism as well as in the understanding of property emergence. Two possible interpretations of downward causation, to which Aristotelian thought is relevant, are examined. In the mathematical understanding of nature in classical mechanics, the principle of causality should meet requirements that entailed the rejection of three among the four Aristotelian causal modes. Those requirements do not seem equally important in the special sciences and one may suggest, then, that Aristotle’s contribution may be taken into account. A definition of an emergent property is proposed, in which downward causation is interpreted according to the formal and functional causal modes. (shrink)

This paper examines the concept of ‘areti’ as encountered in the Aristotelian ethical system in order to establish its relationship to the modern concept of virtue as well as to that of moral truth, that is, to identify its truth-value. I intend to show that the Aristotelian ‘areti’ as a developed state of character and as an advanced stage of ethical understanding entails moral truth. ‘Areti’ as a good-in-itself possesses an intrinsic value which reflects moral truth, and as (...) a means for the accomplishment of ‘eudaimonia’ (ultimate happiness) it possesses an instrumental value. I also wish to argue that this position calls for a realist as well as an objectivist (or nonrelativist) approach in Aristotle. To that effect, I examine the elements of ‘areti’ that relate it to truth, and then I use reference to some of theAristotelian virtues, such as ‘andreia’ (courage), ‘philia’ (friendship), ‘dikaiosyne’ (justice), and ‘megalopsychia’ (magnanimity), in order to examine the way moral truth functions. This examination will also try to show that Aristotle’s aretaic approach does not suffer from the ills of virtue ethics theories. (shrink)

Abstract: This chapter examines the role of the virtuous agent in the acquisition of virtue. It rejects the view of the virtuous agent as a direct model for imitation and instead focuses on recent research on the importance of phronesis. Phronesis is understood as a type of moral ‘know how’ expertise that is supported by a variety of abilities, from emotional maturity, to self-reflection, to an empathic understanding of what moves others, to an ability to see beyond the surface and (...) understand the complexities of human behaviour. If we want to acquire virtue instead of focusing on the virtuous agent as such we should be trying to understand the abilities exemplified by his phronesis. As part of this project, I also consider philosophers who seek inspiration from the empirical sciences to shed light on how phronetic expertise is developed and what relevance this may have for moral education. (shrink)

The bulk of Duhem's writing which bears on the understanding of mixtures suggests he adopted an Aristotelian position which he opposed only to the atomic view. A third view from antiquity-that of the Stoics-seems not to be taken into account. But his lines of thought are not always as explicit as could be wished. The Stoic view is considered here from a perspective which Duhem might well have adopted. This provides a background against which his somewhat unorthodox Aristotelianism might (...) be understood. (shrink)

In this paper, I argue that cognitive enhancement cannot be epistemically beneficial since getting things right in particular and epistemic agency in general both presuppose a kind of achievement. Drawing on Aristotle’s ethics, I distinguish four categories of actions: caused, attributable, responsible, and creditable. I conclude that to the extent that cognitive enhancement is incompatible with the latter category it undermines rather than strengthens autonomous agency in the realm of cognition.

This article bears on four topics: observational predicates and phenomenal properties, vagueness, strict finitism as a philosophy of mathematics, and the analysis of feasible computability. It is argued that reactions to strict finitism point towards a semantics for vague predicates in the form of nonstandard models of weak arithmetical theories of the sort originally introduced to characterize the notion of feasibility as understood in computational complexity theory. The approach described eschews the use of nonclassical logic and related devices like degrees (...) of truth or supervaluation. Like epistemic approaches to vagueness, it may thus be smoothly integrated with the use of classical model theory as widely employed in natural language semantics. But unlike epistemicism, the described approach fails to imply either the existence of sharp boundaries or the failure of tolerance for soritical predicates. Applications ofmeasurement theory(in the sense of Krantz, Luce, Suppes, & Tversky (1971)) to vagueness in the nonstandard setting are also explored. (shrink)

This paper examines the neo-Aristotelian account of species natures as ‘life-forms’, which we owe to Philippa Foot, Michael Thompson and their defenders. I begin by developing two problems for their view: a problem of underdetermination and a problem generated by psychological work on ‘folk essentialism’. I move on to consider their important transcendental argument, which suggests that claims about life-forms are presupposed by all efforts to describe the organic world. In response, I sketch a neo-Kantian projectivist position, which agrees (...) that life-forms are presupposed in these contexts, while denying that such life-forms are real. This position makes a better sense of the phenomena cited in support of the neo-Aristotelian view, while avoiding the problems raised for that view in the first half of this paper. (shrink)

In this essay I discuss the limits of recent attempts to develop a neo-Aristotelian virtue ethic on the basis of a commitment to ‘ethical naturalism.’ By ‘ethical naturalism’ I mean the view that ethics can be founded on claims about what it is for human beings to flourish qua member of the human species, which is analogous to what it is for plants and other animals to flourish qua member of their particular species. Drawing on Charles Taylor’s account of (...) ‘strong evaluation,’ I argue that there are important features of our ethical life that can only be properly understood from a first-personal or phenomenological standpoint as contrasted with the third-personal standpoint of ethical naturalism: viz., (1) The sense of ‘nobility’ in performing virtuous actions for their own sake as a constitutive part of the good life; (2) The nature and extent of other-regarding concern; and (3) The issue of ‘the meaning of life,’ which also raises the issue of the place of ‘transcendence’ in an account of the good life. While I emphasize the need for a deeper engagement with our first-personal evaluative experience, I also discuss the interdependence of the first-personal and third-personal perspectives in the ethical life. (shrink)

In these times of walls and razor-wires, open borders appear to be more utopian than always. Nonetheless, philosophers like Joseph Carens and, similarly but earlier, Timothy King and James L. Hudson, famously argued that the major philosophical perspectives in the Western world—libertarian, egalitarian, and utilitarian—would support a right to freedom of international movement of people. What would be the relative default position from the standpoint of natural law theory? In this article, I present a general introduction on natural law theory (...) and its role in and outside philosophy, before presenting claims specific to the migration debate. I then recall the defence of a right to free movement by two authors sympathetic to the natural-law tradition, Ann and Michael Dummett: a defence which is grounded in principles of fairness and reciprocity and develops elements belonging to international law. I also outline John Finnis’s more critical and nuanced position. Finnis is eager to legitimize state authority and the “special relations” binding fellow countrymen: however, I claim that the classic Thomist perspective in which he situates these claims ensure his respect of a right to international movement which could be characterized as a version of “open borders,” with some definitional restrictions and qualifications of this latter phrase. Finally, I deal with the theory of Alasdair MacIntyre. Trying to infer MacIntyre’s attitude toward migration from the classic but short article on patriotism, might turn out to be no less dif ficult than potentially misleading, especially if that article is not read in its details. Complementary elements are offered in MacIntyre’s account of natural law “as subversive.” On these grounds, I claim that, contrary to simplistic misreading of MacIntyre’s alleged “communitarianism,” MacIntyrean Aristotelian Thomism would endorse a theory of migration more compatible with reasonably conceived open borders. I conclude my chapter with a presentation of Aquinas’s concise intervention on the subject, and I show that it further supports my reading of the natural law tradition. (shrink)

Call an argument a ‘happy sorites’ if it is a sorites argument with true premises and a false conclusion. It is a striking fact that although most philosophers working on the sorites paradox find it at prima facie highly compelling that the premises of the sorites paradox are true and its conclusion false, few (if any) of the standard theories on the issue ultimately allow for happy sorites arguments. There is one philosophical view, however, that appears to allow for at (...) least some happy sorites arguments: strict finitism in the philosophy of mathematics. My aim in this paper is to explore to what extent this appearance is accurate. As we shall see, this question is far from trivial. In particular, I will discuss two arguments that threaten to show that strict finitism cannot consistently accept happy sorites arguments, but I will argue that (given reasonable assumptions on strict finitistic logic) these arguments can ultimately be avoided, and the view can indeed allow for happy sorites arguments. (shrink)

The core thesis of the paper is that the constitution of biological science begins with a conceptual innovation with far-reaching consequences with effect up to the present: by conceiving the parts of living beings as organs (that is, as tools), Aristotle laid the foundation stone for a functional explanation of animate nature. Comparative anatomy is thus transformed from a merely descriptive to an explanatory theory. The point of the discussion is above all that a functional explanation must not be confused (...) with the sort of teleology according to which the function of an organ is understood as the cause of its existence. The first section outlines the theoretical motives that Aristotle adduces in arguing for biology (against contemporary contempt for biological research). The second step addresses the significance of the parts of animals in Aristotle's larger collection of zoological material, the Historia animalium . The third section demonstrates how in the major explanatory work De partibus animalium the term organon takes on the status of a key methodological concept. Finally, the fourth section discusses the significance of the Aristotelian determination of the organic with respect to current discourses in natural science. (shrink)

Reading through the Corpus Aristotelicum we come across a group of expressions meant to indicate predicative relations, which lead us to think that Aristotle connected predication to a part-whole relation. He frequently calls the ‘εἴδη’, “species”, ‘μέρη’, “parts”, of their genera. More generally, the universal is said to contain that of which it is true. In a parallel way, what is contained by something is also what is under something else. Again, it is quite common for him to consider the (...) species as partaking of their genera. Although the relation of partaking is normally used to qualify the way in which species are related to their genera, sometimes also the relation between particulars and species or even genera is expressed in terms of partaking. (shrink)

Neste estudo procedemos a uma leitura detalhada da obra editada por Emmanuele Vimercati e Valentina Zaffino, Nicholas of Cusa and the Aristotelian Tradition. A Philosophical and Theological Survey, cuja oportunidade começamos por realçar. Os estudos que a constituem abordam a relação do pensamento cusano com Aristóteles e a tradição aristotélica e o modo como essa tradição chega a Nicolau de Cusa, mostrando ecos da sua presença na Lógica e na Epistemologia, na Física e na Psicologia, na Metafísica, na Ética (...) e na Política, incluindo ainda um capítulo especial dedicado aos sermões do Cardeal alemão. A conclusão gral é a de que a inscrição do pensamento deste autor no neoplatonismo e na corrente mística, esquece habitualmente, de modo injusto, o papel que o diálogo com a tradição aristotélica desempenhou na sua constituição. Neste estudo crítico, a par do reconhecimento do elevado mérito dos contributos reunidos na obra, são também deixadas algumas notas críticas relativamente a alguns pormenores, o que não altera a perceção muito positiva que a leitura do livro nos deixou. (shrink)

In this paper, we offer an overview of Aristotle’s account for his belief that honeybees reproduce without copulation. Following this, we draw the three following implications: First, that Aristotle’s position on this question is quite unconventional, and undercuts many traditional and “Aristotelian” hierarchies; secondly, that the method that requires him to hold this unconventional position is largely dialectical; and finally, that the lineage behind this method is Socratic. In this sense, Aristotle’s biological work may be seen as taking up (...) where young Socrates left off according to his autobiographical remark in Plato’s Phaedo 95E-99E. (shrink)

Lonergan’s written reflections on the notion of form span almost thirty years. Beginning with his 1930s manuscripts on the philosophy of history, Lonergan returned again and again to the problem of clarifying that metaphysical concept. His thought on the issue of form reached its mature stage in 1957 with the publication of Insight. This article first presents an account of the mature, Insight stage of Lonergan’s notion of form. It then shows how Lonergan arrived at that position from his interpretation (...) of Aristotle as set forth in Verbum: Word and Idea in Aquinas. It concludes with some remarks in response to a criticism of Lonergan, commonly leveled by certain Thomist thinkers, according to which Lonergan’s effort to ground philosophy in self-appropriation rather than metaphysics condemns him to a subjectivist or idealist position. Such a critique, I argue, fails to take into account what Lonergan actually held. Indeed, the preference for a metaphysical point de départ is itself vulnerable to a reverse criticism on Lonergan’s part. (shrink)

We may have a bit of a handle on roughly what kinds of entities the Platonic Forms are. We can think of them as analogous to a number of notions in contemporary philosophy that are denominated “Platonic abstracta”, e.g., propositions, concepts, mathematicals, and the like. We may think them queer, but we have some idea what their queerness consists in. We may even believe that some of these kinds of entities actually exist.