Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two heights, for example, (...) is a perceivable and measurable real relation between properties of physical things, a relation that can be shared by the ratio of two weights or two time intervals. Ratios are an example of continuous quantity; discrete quantities, such as whole numbers, are also realised as relations between a heap and a unit-making universal. For example, the relation between foliage and being-a-leaf is the number of leaves on a tree, a relation that may equal the relation between a heap of shoes and being-a-shoe. Modern higher mathematics, however, deals with some real properties that are not naturally seen as quantity, so that the “science of quantity” theory of mathematics needs supplementation. Symmetry, topology and similar structural properties are studied by mathematics, but are about pattern, structure or arrangement rather than quantity. (shrink)
Anjan Chakravartty and I are both scientific realists and yet we are separated by a great divide. He’s a neo-Aristotelian, whereas I am a neo-Humean. Prima facie, this is not a divide that has anything to do with scientific realism itself. It’s a divide within metaphysics—or the metaphysics of science, to be more precise. It might be thought that neo-Humeanism is anti-metaphysics altogether, but this is wrong. Metaphysics—that is, a view about the deep structure of reality and its fundamental constituents—is (...) not optional. The only serious issue, I believe, is how deeply this view should be digging; how rich the conception of the fundamental structure of reality ought to be. Neo-Humeanism promotes a rather thin—or sparse—view of the fundamental structure of reality. In particular, it denies that the regularity there is in the world needs grounding in a metaphysically distinct (and typically deeper) layer of facts or entities, which are supposed to enforce the regularity there is in the world. But buying into the idea that the world is characterised by regular patterns of co-existence and succession of property-instances is metaphysics enough! So the real issue between neo-Aristotelianism and neo-Humeanism is not: metaphysics or notmetaphysics. Rather, it is: how much of metaphysics ought we to buy into? I take it that this question is elliptical and needs supplementation: how much of metaphysics ought we to buy into if we are to make sense of the world as this is described by science? Others might disagree with the suggested supplementation. Fair enough! In my own view, metaphysics should be in the service of science and should be constrained by it. I trust this is something Chakravartty and I share. Our disagreement (and the real disagreement between neo-Aristotelianism and neo- Humeanism) concerns precisely the issue of whether the image of the world as painted by modern science does require or imply a neo-Aristotelian metaphysics. Concomitantly, the issue is how we decide (philosophically) what kind of metaphysical theory is required by science.. (shrink)
The view that dominated the last century claims that ethical thought requires thinking of some things – e.g. pleasure, knowledge, virtue – as good “full stop,” or good simpliciter . Traditional Consequentialists, for instance, argue that moral evaluations of acts, motives, etc . are grounded in facts about the simple goodness of that which those things bring about. Similarly, some rational intuitionists think that claims about what one has reason to do are grounded in facts about what is good simpliciter (...) . Such a view gives rise to a set of semantic, metaphysical, and epistemological puzzles about the nature of good simpliciter . I argue that an Aristotelian approach to ethics reveals that ethical thought does not requires good simpliciter , that Aristotelian positions avoid charges of metaphysical and epistemological queerness, and that it gives a straightforward semantic analysis of key moral terms, e.g. morally good/bad and morally right/wrong. I then distinguish between two varieties of Aristotelianism. (shrink)
Aristotelian substance theory tells us that substances have structures (read: forms) as proper parts. This claim has recently been defended by Kathrin Koslicki who dubbed it the ‘Neo-Aristotelian Thesis.’ Strangely, Aristotelianism has not yet been universally embraced by philosophers – partly because some of its claims, such as the Neo-Aristotelian Thesis – are viewed by some as counterintuitive at best. In this paper, I argue for Aristotelianism by showing its philosophical usefulness: specifically, I put it to use in (...) saving the metaphysical doctrine of endurantism and some central mereological doctrines (such as Transitivity) from recent attacks. This utility gives us reason to endorse Aristotelianism. Along the way, I defend Koslicki's argument for the Neo-Aristotelian Thesis from a recent criticism, thus helping provide still more reason to endorse Aristotelianism: namely, Koslicki's vindicated argument. (shrink)
Abstract The aim of the paper is to reassess the role of British Aristotelianism within the history of early modern logic between the sixteenth and seventeenth centuries, as a crucial moment of cultural transition from the model of humanistic rhetoric and dialectic to that of facultative logic, that is, a logic which concerns the study of the cognitive powers of the mind. The paper shows that there is a special connection between Paduan Aristotelianism and British empiricism, through the (...) mediation of British Aristotelianism. British Aristotelians took the ideas of the Paduan Aristotelian tradition and carried them to an extreme, gradually removing them from the original Aristotelian context in which they were grounded and developing what would later become the fundamental ideas of British empiricism. (shrink)
In Quodlibet XV q.13, Henry of Ghent considers whether the Virgin Mary was immaculately conceived. He argues that she was not, but rather possessed sin only at the first instant of her existence. Because Henry’s defense of this position involves an elaborate discussion of motion and mutation, his discussion marks an important contribution to medieval discussions of Aristotelian natural philosophy. In fact, a number of scholars have identified Henry’s discussion as the source of an unusual fourteenth-century theory of change referred (...) to as “quasi-Aristotelianism” (so-called because the account purports to be Aristotelian but is not). My aim in the paper is two-fold: first, to show that Henry's position is not quasi-Aristotelian in the sense that scholars have supposed; second, to show that, even so, his discussion in q. 13 does involve a novel interpretation of Aristotle’s account of instantaneous change. (shrink)
In Quodlibet XV q.13, Henry of Ghent considers whether the Virgin Mary was immaculately conceived. He argues that she was not, but rather possessed sin only at the first instant of her existence. Because Henry’s defense of this position involves an elaborate discussion of motion and mutation, his discussion marks an important contribution to medieval discussions of Aristotelian natural philosophy. In fact, a number of scholars have identified Henry’s discussion as the source of an unusual fourteenth-century theory of change referred (...) to as “quasi-Aristotelianism” (so-called because the account purports to be Aristotelian but is not). My aim in the paper is two-fold: first, to show that Henry's position is not quasi-Aristotelian in the sense that scholars have supposed; second, to show that, even so, his discussion in q. 13 does involve a novel interpretation of Aristotle’s account of instantaneous change. (shrink)
Kelvin Knight (2011). Revolutionary Aristotelianism. In Paul Blackledge & Kelvin Knight (eds.), Virtue and Politics: Alasdair Macintyre's Revolutionary Aristotelianism. University of Notre Dame Press.score: 12.0
Philosophers of mathematics agree that the only interpretation of arithmetic that takes that discourse at 'face value' is one on which the expressions 'N', '0', '1', '+', and 'x' are treated as proper names. I argue that the interpretation on which these expressions are treated as akin to free variables has an equal claim to be the default interpretation of arithmetic. I show that no purely syntactic test can distinguish proper names from free variables, and I observe that any semantic (...) test that can must beg the question. I draw the same conclusion concerning areas of mathematics beyond arithmetic. This paper is a greatly extended version of my response to Stewart Shapiro's paper in the conference 'Structuralism in physics and mathematics' held in Bristol on 2–3 December, 2006. (shrink)
This article presents a skeleton of a potential paradigm of human flourishing and happiness in a free society. It is an exploratory attempt to construct an understanding from various disciplines and to integrate them into a clear, consistent, coherent, and systematic whole. Holding that there are essential interconnections among objective [...].
Central to the western theistic understanding of divine providence is the conviction that God is the sovereign Lord of nature. He created the physical universe and continually conserves it in existence. What's more, He is always and everywhere active in it by His power. The operations of nature, be they minute or catastrophic, commonplace or unprecedented, are the work of His hands, and without His constant causal influence none of them would or could occur.
After 25 centuries, Aristotle's influence on our society's moral thinking remains profound and he continues to be a very important contributor to contemporary debates in philosophical ethics. This collection showcases some of the best new writing on the Aristotelian notion of virtue of character, which remains central to much of the most interesting work in ethical theory.
The rise in the recent Western pattern of surrogate decision making is not a necessary result of an increase in the number of elderly with decreased competence; it may rather manifest the dominant Western vision of human life and relations. From a comparative philosophical standpoint, the Western pattern of medical decision making is individualistic, while the Chinese is familistic. These two distinct patterns may reflect two different comprehensive perspectives on human life and relations, disclosing a foundational difference that can be (...) seen in the Aristotelian account of friendship and the Confucian account of humanity. The contemporary development of surrogate decision making in the West may illustrate a general tendency toward the Aristotelian account, while the Chinese approaches are congruent with the Confucian view. Also explored are some merits of the Chinese approach to family decision making for health care. (shrink)
Abstract In Liberty and Nature, Rasmussen and Den Uyl use an Aristotelian conception of the human good to provide a foundation for libertarianism. Their principal argument is that intelligence and virtue are necessary ingredients in every flourishing human life, but since these are not goods that the state can distribute to individuals, governments can play only a modest role in promoting the common good. The state best promotes the well?being of its citizens by allowing them to, pursue happiness in (...) a manner of their own choosing, and defending them against those who would invade their moral boundaries. (shrink)
Machine generated contents note: Introduction; 1. Xenarchus: the man, his work, and his influence in antiquity; 2. Texts, translations, and notes; Conclusion; Appendix. Vestiges of Xenarchus in the Middle Ages.
An important part of Aristotelianism has revolved around the different interpretations given to the famous fifth chapter of Aristotle’s De Anima lll. The brevity with which he spoke about an intellectual agent principle described as divine and everlasting has led to a lengthy debate between those who argue that this principle is part of the individual soul and those who think that it must be placed outside the individual intellectual powers. Among the latter, the interpretation of the Renaissance Aristotelian (...) Giacomo Zabarella (1533-1589), a great expert on classical Greek and Aristotle’s works, is still one of the most influential. (shrink)
According to Quine’s indispensability argument, we ought to believe in just those mathematical entities that we quantify over in our best scientific theories. Quine’s criterion of ontological commitment is part of the standard indispensability argument. However, we suggest that a new indispensability argument can be run using Armstrong’s criterion of ontological commitment rather than Quine’s. According to Armstrong’s criterion, ‘to be is to be a truthmaker (or part of one)’. We supplement this criterion with our own brand of metaphysics, 'Aristotelian (...) (...) realism', in order to identify the truthmakers of mathematics. We consider in particular as a case study the indispensability to physics of real analysis (the theory of the real numbers). We conclude that it is possible to run an indispensability argument without Quinean baggage. (shrink)
Attempts to explicate the substance-property nexus are legion in the philosophical literature both historical and contemporary. In this paper, I shall attempt to impose some structure into the discussion by exploring ways to combine two unlikely bedfellows—Platonic properties and Aristotelian substances. Special attention is paid to the logical structure of substances and the metaphysics of property exemplification. I shall argue that an Aristotelian-Platonic account of the substance-property nexus is possible and has been ably defended by contemporary philosophers.
Le début de l'Isagogè de Porphyre énonce une série de trois questions à propos des genres et des espèces, que l'on tient pour l'origine de la médiévale « Querelle des universaux ». Mais la question s'est posée aux interprètes de savoir si, dans ce texte, Porphyre se référait à certaines thèses historiquement déterminées ou bien s'il construisait ces alternatives de façon théorique, dans une lingua franca non connotée d'un point de vue doctrinal. Cet article, en se concentrant sur la première (...) alternative du questionnaire, tente de montrer que le texte porphyrien prend davantage sens si l'on s'avise que l'époque post-hellénistique (IIe s. av. J.-C. – début du IIIe s. ap. J.-C.) donne déjà à voir une polémique scolaire sur le statut des universaux. Ce n'est ainsi pas seulement le vocabulaire employé par Porphyre qui est doctrinalement connoté, mais l'alternative elle-même, qui fait très probablement référence à un débat entre les thèses platoniciennes, stoïciennes et péripatéticiennes. Alexandre d'Aphrodise constitue une aide précieuse pour reconstruire ce débat, dont l'article esquisse une cartographie. (shrink)
This paper explores the role of early imperial Peripatetics – in particular, Andronicus of Rhodes, Boethus of Sidon, Herminus, and Alexander – in the development of the canonical reading of the Categories influentially maintained by Porphyry. I investigate the common threads of Middle Platonist and Peripatetic views on the value of the Categories, focusing on the utility of the method of division (diairesis) for acquiring knowledge (epistêmê), and argue for a shared Peripatetic-Platonist consensus about the reasons why the Categories should (...) ground the philosophical curriculum. In particular, I suggest that Andronicus of Rhodes and Eudorus might have played a significant role in the development of this consensus. (shrink)
I develop a view of the common factor between subjectively indistinguishable perceptions and hallucinations that avoids analyzing experiences as involving awareness relations to abstract entities, sense-data, or any other peculiar entities. The main thesis is that hallucinating subjects employ concepts (or analogous nonconceptual structures), namely the very same concepts that in a subjectively indistinguishable perception are employed as a consequence of being related to external, mind-independent objects or property-instances. These concepts and nonconceptual structures are identified with modes of presentation types. (...) Since a hallucinating subject is not related to any such objects or property-instances, the concepts she employs remain empty. I argue that the phenomenology of hallucinations and perceptions can be identified with employing concepts and analogous nonconceptual structures. By doing so, I defend an ontologically minimalist view of the phenomenology of experience that (1) vindicates Aristotelianism about types and (2) amounts to a naturalized view of the phenomenology of experience. (shrink)
The papers in this volume explore the nature of intention and intentional action against the background of G.E.M. Anscombe’s 'Intention' (2nd ed., 1963; repr. Cambridge: Harvard University Press, 2000). Taken together, they demonstrate why the position that Michael Thompson has called Anscombe’s “analytical Aristotelianism” deserves to be regarded as a serious alternative to the analytical Humeanism (to coin a label) that has prevailed in Anglophone philosophy of mind and action since the work of Donald Davidson.
This paper is a discussion of the emotion of compassion or pity, and the corresponding virtue. It begins by placing the emotion of compassion in the moral conceptual landscape, and then moves to reject the currently dominant view, a version of Aristotelianism developed by Martha Nussbaum, in favour of a non-cognitive conception of compassion as a feeling. An alternative neo-Aristotelian account is then outlined. The relation of the virtue of compassion to other virtues is plotted, and some doubts sown (...) about its practical significance. (shrink)
We explain the thesis that human mental states are ontologically emergent aspects of a fundamentally biological organism. We then explore the consequences of this thesis for the identity of a human person over time. As these consequences are not obviously independent of one's general ontology of objects and their properties, we consider four such accounts: transcendent universals, kind-Aristotelianism, immanent universals, and tropes. We suggest there are reasons for emergentists to favor the latter two accounts. We then argue that within (...) such ontologies, emergentism about properties pushes one to the stronger claim that there are emergent individuals, though not individuals which are dual to person's bodies—substance emergentism, but not substance dualism. (shrink)
Causal powers, say, an electron’s power to repel other electrons, are had in virtue of having properties. Electrons repel other electrons because they are negatively charged. One’s views about causal powers are shaped by—and shape—one’s views concerning properties, causation, laws of nature and modality. It is no surprise, then, that views about the nature of causal powers are generally embedded into larger, more systematic, metaphysical pictures of the world. This dissertation is an exploration of three systematic metaphysics, Neo-Humeanism, Nomicism and (...) Neo-Aristotelianism. I raise problems for the first two and defend the third. A defense of a systematic metaphysics, I take it, involves appealing to pre-theoretical commitments or intuitions, and theoretical issues such as simplicity or explanatory power. While I think that Neo-Aristotelianism is the most intuitive of the available general metaphysical pictures of the world, these kinds of intuitions do not settle the matter. The most widely held of the alternative pictures, Neo-Humeanism, is accepted in great part because of its theoretical power. In contrast, a systematic Neo-Aristotelian metaphysic is, at best, nascent. The way forward for the Neo-Aristotelian, therefore, is a contribution to an ongoing research program, generating Neo-Aristotelian views of modality, causation and laws of nature from the Neo-Aristotelian understanding of causal powers. The central argument of this dissertation is that such views are defensible, and so the Neo-Aristotelian metaphysic ought to be accepted. (shrink)
Morals from Motives develops a virtue ethics inspired more by Hume and Hutcheson's moral sentimentalism than by recently-influential Aristotelianism. It argues that a reconfigured and expanded "morality of caring" can offer a general account of right and wrong action as well as social justice. Expanding the frontiers of ethics, it goes on to show how a motive-based "pure" virtue theory can also help us to understand the nature of human well-being and practical reason.
: In this paper I explain how Spinoza's ontological monism is related to the monotheism of a distinct tradition in medieval Aristotelianism exemplified by Maimonides. My main contention is that Maimonides' God, conceived as intellectual activity has the same structure as Spinoza's Deus sive Natura. The main difference between them is that Maimonides' God is confined to cognitive activity, whereas Spinoza's God is extensive activity as well. I trace the impact of the medieval doctrine of God on Spinoza's thought (...) from the Cogitata Metaphysica to the Ethics, establishing conceptual parallels, literary links, and an explanation of the steps leading from the former to the latter. (shrink)
This landmark study examines the role played by the rediscovery of the writings of the ancient atomists, Epicurus and Lucretius, in the articulation of the major philosophical systems of the seventeenth century, and, more broadly, their influence on the evolution of natural science and moral and political philosophy. The target of sustained and trenchant philosophical criticism by Cicero, and of opprobrium by the Christian Fathers of the early Church, for its unflinching commitment to the absence of divine supervision and the (...) finitude of life, the Epicurean philosophy surfaced again in the period of the Scientific Revolution, when it displaced scholastic Aristotelianism. Both modern social contract theory and utilitarianism in ethics were grounded in its tenets. Catherine Wilson shows how the distinctive Epicurean image of the natural and social worlds took hold in philosophy, and how it is an acknowledged, and often unacknowledged presence in the writings of Descartes, Gassendi, Hobbes, Boyle, Locke, Leibniz, Berkeley. With chapters devoted to Epicurean physics and cosmology, the corpuscularian or "mechanical" philosophy, the question of the mortality of the soul, the grounds of political authority, the contested nature of the experimental philosophy, sensuality, curiosity, and the role of pleasure and utility in ethics, the author makes a persuasive case for the significance of materialism in seventeenth-century philosophy without underestimating the depth and significance of the opposition to it, and for its continued importance in the contemporary world. Lucretius's great poem, On the Nature of Things, supplies the frame of reference for this deeply-researched inquiry into the origins of modern philosophy. (shrink)
In this book, Bryan W. Van Norden examines early Confucianism as a form of virtue ethics and Mohism, an anti-Confucian movement, as a version of consequentialism. The philosophical methodology is analytic, in that the emphasis is on clear exegesis of the texts and a critical examination of the philosophical arguments proposed by each side. Van Norden shows that Confucianism, while similar to Aristotelianism in being a form of virtue ethics, offers different conceptions of “the good life,” the virtues, human (...) nature, and ethical cultivation. (shrink)
Hobbes's relation to the later Aristotelian tradition, in both its scholastic and its humanists variants, has been increasingly explored by scholars. However, on two fundamental points (the naturalness of the city and the use of the matter/form distinction in the political works), there is more to be said in this connection. A close examination of a range of late Renaissance commentaries on Aristotle's Politics shows that they elucidate a picture of pre-civic human nature that had (contrary to Hobbes's implication) much (...) in common with that of Hobbes. Moreover, they deployed the matter-form distinction in their analysis of the city or civitas in ways that are in important respects similar to Hobbes's procedure in De cive and Leviathan . The paper concludes that Hobbes drew on this tradition in multiple ways while at the same time undermining some of its principal conclusions; Hobbes was in no sense an 'Aristotelian' even if his philosophy has substantial debts to Aristotelianism. (shrink)
In this paper I want to investigate further a claim made by Martha Nussbaum and Wayne Booth, amongst others, that good literature can be morally valuable, by applying it to a certain kind of genre fiction: the modern harboiled detective novel.
This paper seeks to analyze and to motivate a trend toward virtue ethics and away from deontology in the business ethics account of organizational loyalty. Prevailing authors appeal to “transcendent” values (deontology), skepticism (there is no loyalty), or Aristotelianism (loyalty is seeking mutual self-interest). I argue that the “Aristotelian” view clears up the “egoist” difficulty with loyalty. Briefly, critics feel we must “transcend,” “replace,” “overcome” and most especially sacrifice self-interest on the altar of ethics and loyalty. I argue that (...) few things can be more ethical than loyalty to shared values. When a company and I both pursue the same value X, there becomes no difference between my seeking my best interest and my seeking the best interest of the company (and vice versa). Hence, the way out of the egoist difficulty with loyalty is seeing a company’s interests as my own (Aristotle’s third stage of friendship). (shrink)
