An analysis of the counter-intuitive properties of infinity as understood differently in mathematics, classical physics and quantum physics allows the consideration of various paradoxes under a new light (e.g. Zeno’s dichotomy, Torricelli’s trumpet, and the weirdness of quantum physics). It provides strong support for the reality of abstractness and mathematical Platonism, and a plausible reason why there is something rather than nothing in the concrete universe. The conclusions are far reaching for science and philosophy.

Draft version of essay. ABSTRACT: Benjamin Whichcote developed a distinctive account of human nature centered on our moral psychology. He believed that this view of human nature, which forms the foundation of “Cambridge Platonism,” showed that the demands of reason and faith are not merely compatible but dynamically supportive of one another. I develop an interpretation of this oft-neglected and widely misunderstood account of human nature and defend its viability against a key objection.

This examination makes the case that the tradition of Christian Platonism can constitute a valuable resource for addressing the long-running and increasingly-acute environmental crisis that threatens the global ecosystem and all who inhabit it. More than a scientific, technological or political challenge, the crisis requires a fundamental shift in the way humans understand nature and their place within it. Key to implementing this shift is the need to address the problematic anthropocentric conceptualisation of nature characteristic of the contemporary social (...) imaginary that determines a wide range of present day economic, religious and scientific perspectives. The case made here is that Christian Platonism, and in particular its participatory ontology, can offer a radically non-anthropocentric alternative to the present-day understanding of nature, reconceptualising the way we understand the meaning, value, and way we know nature. (shrink)

Does natural science give us reason to believe that mathematical statements are true? And does natural science give us reason to believe in some particular metaphysics of mathematics? These two questions should be firmly distinguished. My argument in this chapter is that a negative answer to the second question is compatible with an affirmative answer to the first. Loosely put, even if science settles the truth of mathematics, it does not settle its metaphysics.

Plato’s depiction of the first city in the Republic (Book II), the so-called ‘city of pigs’, is often read as expressing nostalgia for an earlier, simpler era in which moral norms were secure. This goes naturally with readings of other Platonic texts (including Republic I and the Gorgias) as expressing a sense of moral decline or crisis in Plato’s own time. This image of Plato as a spokesman for ‘moral nostalgia’ is here traced in various nineteenth- and twentieth-century interpretations, and (...) rejected. Plato’s pessimism about human nature in fact precludes any easy assumption that things, or people, were better in the old days. (shrink)

According to Leininger, presentists and growing blockers cannot explain why past and present regularities persist in the future. In order to do so, they would have to appeal to enforcers, such as causation, laws or dispositions. But in a world with no future, these enforcers are powerless and cannot guarantee future regularity. I disagree and argue that Leininger’s coordination problem can be met by distinguishing type- from token-level necessitation. Whereas token-level necessitation is cross-temporal and subject to Leininger’s coordination problem, type-level (...) necessitation is atemporal and immune to the coordination problem. For this solution to work, though, type-level necessitation must be ontologically prior to token-level necessitation. This forces us to adopt a Platonist position according to which universals are transcendent, and not immanent. (shrink)

Contrary to popular opinion, non-natural realism can explain both why normative properties supervene on descriptive properties, and why this pattern is analytic. The explanation proceeds by positing a subtle polysemy in normative predicates like “good”. Such predicates express slightly different senses when they are applied to particulars (like Florence Nightingale) and to kinds (like altruism). The former sense, “goodPAR”, can be defined in terms of the latter, “goodKIN”, as follows: x is goodPAR iff there is a kind K such that (...) x is a token of K, and K is goodKIN. Now if x and y are descriptively exactly similar, then they are tokens of exactly the same kinds, so x is a token of a goodKIN kind if and only if y is. Therefore, by the definition, x is goodPAR if and only if y is. Supervenience just falls out of the definition of “goodPAR”. (shrink)

My paper highlights one Personalist aspect of St. Anselm's Platonic perspective, namely the ontological priority and interpenetration of persons. The paper first discusses Anselm's metaphysical Platonism, then charts the Anselmian path towards God, through participation in the divine attributes. It then focuses on images of persons, and their degree of being. I argue that, at least for certain human relationships marked by strong love or friendship, Anselm regards the image of the person as mediating the being of the person (...) imaged. (shrink)

It is pointed out that the different concepts of the Universe serve as an ultimate basis determining the frames of consciousness. A unified concept of the Universe is explored which includes consciousness and matter as well to the universe of existents. Some consequences of the unified concept of the Universe are derived and shown to be able to solve the paradox of the self-founding notion of the Universe. The self-contained Universe is indicated to possess a logical nature. It is shown (...) that a passage exists between consciousness and the material world and its nature is exemplified. Moreover, arguments are presented showing the simultaneous emotional nature of the Universe. A solution to the paradox of semi-finite spacetime existents, possessing finite and infinite substances simultaneously, namely eternal existents like moral values and logical validity, is obtained. (shrink)

Wittgenstein’s philosophy involves a general anti-platonism about properties or standards of similarity. On his view, what it is for one thing to have the same property as another is not dictated by reality itself; it depends on our classificatory practices and the standards of similarity they embody. Wittgenstein’s anti-platonism plays an important role in the private language sections and in his discussion of the conceptual problem of other minds. In sharp contrast to Wittgenstein’s views stands the contemporary doctrine (...) of natural properties, which holds that there is an objective hierarchy of naturalness amongst properties, a hierarchy that is completely independent of our concepts or practices. Some authors have appealed to the natural properties view to offer an explicitly anti-Wittgensteinian account of sensation concepts. The paper discusses these competing views of properties and sensation concepts. It is argued that, if our account of concepts of conscious states starts from a commitment to natural properties, we are bound to recognize that our actual classificatory practices also play a crucial role in determining which properties our concepts pick out. On the other hand, if we start from the anti-platonist position, we are bound to recognize that we also need a notion of sameness of property that extends beyond our limited capacity to recognize similarity or sameness of property. The correct view, it is concluded, must occupy a middle position between an extreme anti-realism about properties and an extreme version of the natural properties view. It is suggested that Wittgenstein’s own view does just that. (shrink)

Al final de su libro “La conciencia inexplicada”, Juan Arana señala que la nomología, explicación según las leyes de la naturaleza, requiere de una nomogonía, una consideración del origen de las leyes. Es decir, que el orden que observamos en el mundo natural requiere una instancia previa que ponga ese orden específico. Sabemos que desde la revolución científica la mejor manera de explicar dicha nomología ha sido mediante las matemáticas. Sin embargo, en las últimas décadas se han presentado algunas propuestas (...) basadas en modelos matemáticos que fundamentarían muchos aspectos de la realidad. Dos claros ejemplos provienen de Roger Penrose y Max Tegmark. Esto lleva a pensar en una posición no solo nomológica sino además nomogónica de la matemática. ¿Puede la Naturaleza estar fundada por las matemáticas como señalan algunos físico-matemáticos? Y en ese caso, ¿sería pertinente buscar una nomo-génesis de esta índole en la constitución de la conciencia? -/- At the end of his book “La conciencia inexplicada”, Juan Arana points out that nomology, explanation according to the laws of nature requires a nomogony, an account of the origin of the laws. This means that the order that we can observe in the natural World demands something prior to posit that specific order. Since the scientific revolution we know that the best way to explain that nomology has been through mathematics. Anyway, in recent decades a number of proposals based on mathematical models that found many aspects of reality has been offered. Two clear examples come from Roger Penrose and Max Tegmark. This drives us to think of a position of mathematics as not only nomological but also nomogonical. Can Nature be founded by mathematics as some physicists and mathematicians point out? And, in this case, would be relevant this kind of approach to search a nomo-genesis in the constitution of consciousness? (shrink)

Although George Berkeley himself made no major scientific discoveries, nor formulated any novel theories, he was nonetheless actively concerned with the rapidly evolving science of the early eighteenth century. Berkeley's works display his keen interest in natural philosophy and mathematics from his earliest writings (Arithmetica, 1707) to his latest (Siris, 1744). Moreover, much of his philosophy is fundamentally shaped by his engagement with the science of his time. In Berkeley's best-known philosophical works, the Principles and Dialogues, he sets up his (...) idealistic system in opposition to the materialist mechanism he finds in Descartes and Locke. In De Motu, Berkeley refines and extends his philosophy of science in the context of a critique of the dynamic accounts of motion offered by Newton and Leibniz. And in Siris, Berkeley's flirtation with neo-Platonism draws inspiration from the fire theory of Boerhaave as well as Newton's aetherial speculations in the Queries of the Optics. In examining Berkeley's critical engagement with the natural philosophy of his time, we will thus improve our understanding of not just his philosophy of science, but of his philosophical corpus as a whole. (shrink)

The main intent of this thesis is to defend that the laws of nature are better thought as transcendent universals, such as platonic governism suggests, and that they are metaphysically necessary in a strong way, such as the heterodox version of such platonism defends. With this intention, we sustain that physical symmetries are essential consequences of the laws of nature – what solves the challenge of symmetries – thus being metaphysically necessary, without being governist's necessitation laws. First, we will (...) show what laws of nature are and the reasons to reject other metaphysical theories and to accept platonic governism. Soon after, we will present the challenge of symmetries and the reasons to prefer the platonic governist answer over dispositionalist, regularist, aristotelic (governism), counterfatualist and primitivist ones. At last, we will define what is the metaphysical necessity, argue for the strong metaphysical necessity of laws and their consequences, and show why the reasons for the contingency or weak necessity of laws are bad theoretical paths. (shrink)

In the Fifth Meditation, Descartes makes a remarkable claim about the ontological status of geometrical figures. He asserts that an object such as a triangle has a 'true and immutable nature' that does not depend on the mind, yet has being even if there are no triangles existing in the world. This statement has led many commentators to assume that Descartes is a Platonist regarding essences and in the philosophy of mathematics. One problem with this seemingly natural reading is that (...) it contradicts the conceptualist account of universals that one finds in the Principles of Philosophy and elsewhere. In this paper, I offer a novel interpretation of the notion of a true and immutable nature which reconciles the Fifth Meditation with the conceptualism of Descartes' other work. Specifically, I argue that Descartes takes natures to be innate ideas considered in terms of their so-called 'objective being'. (shrink)

To study the influence of divinity on cosmos, Alexander uses the notions of ‘fate’ and ‘providence,’ which were common in the philosophy of his time. In this way, he provides an Aristotelian interpretation of the problems related to such concepts. In the context of this discussion, he offers a description of ‘nature’ different from the one that he usually regards as the standard Aristotelian notion of nature, i.e. the intrinsic principle of motion and rest. The new coined concept is a (...) ‘cosmic’ nature that can be identified with both ‘fate’ and ‘divine power,’ which are the immediate effect of providence upon the world. In the paper it is exposed how the conception of providence defended by Alexander means a rejection of the divine care of the particulars, since the divinities are only provident for species. Several texts belonging to the Middle Platonic philosophers will convince us that such thinkers (and not directly Aristotle) are the origin of the thesis that will be understood as the conventional Aristotelian position, namely that divinity only orders species but not individuals. (shrink)

Themed Section of Bruniana & Campanelliana 2022/1, pp. 85-198 -/- - Simone Guidi, Introduction; - Andrew W. Arlig, Part-Whole Interdependence and the Presence of Form in Matter According to Some Fifteenth-Century Platonists; - Jean-Pascal Anfray, Aux limites de la métaphysique: parties, indivisibles et contact chez Suárez; - Simone Guidi, Indivisibles, Parts, and Wholes in Rubio’s Treatise on the Composition of Continuum (1605); - Dana Jalobeanu, Dissecting Nature ad vivum: Parts and Wholes in Francis Bacon’s Natural Philosophy; - Carla Rita Palmerino, (...) From Active Matter to Inertia, from Celerity to Slowness: the Motion of Atoms and of Compound Bodies in Gassendi’s Physics. (shrink)

Ralph Wedgwood’s The Nature of Normativity significantly advances our understanding of metaethical realism. After briefly reviewing the overall structure of Wedgwood’s argument for a Platonist realism about normativity, this critical notice focuses on three of the central metaphysical and epistemological claims that he defends. I first explain and raise difficulties for Wedgwood’s core claim that the intentional is normative. I then argue that his innovative attempt to finesse the supervenience problem that faces metaethical Platonists fails. Finally, I critically examine his (...) attempt to explain how his Platonism is compatible with an acceptable epistemology of the normative. (shrink)

We present an account of the phenomenon of music based upon the hypothesis that there is a close parallel between the mechanics of life and the mechanics of mind, a key factor in the correspondence proposed being the existence of close parallels between the concepts of gene and musical idea. The hypothesis accounts for the specificity, complexity, functionality and apparent arbitrariness of musical structures. An implication of the model is that music should be seen as a phenomenon of transcendental character, (...) involving aspects of mind as yet unstudied by conventional science. (shrink)

In this essay are discussed topics for formulation of a brief critique of two conceptions of Euro-Christian cosmology: the negation of the body and the transcendent deity inaccessible to pointout the relation of such points to a more central discourse of religion: the negation of this world infavor of a metaphysical reality unknown and inaccessible by the senses. Nietzsche and Antonio Bispo dos Santos (Nêgo Bispo) assist us in the reflection of such theme, the German philosopher provideshis considerations about the (...) Despisers of the body, the fable of the true world and his criticism of pure Platonism and the people, already the Brazilian quilombola thinker provides us with his considerationson biointeractivity with territorialized gods, explaining why cultures of immanent gods usually have arelationship of greater respect with the environment. (shrink)

The thesis evaluates a contemporary debate concerning the very possibility of thinking about the world. In the first chapter, McDowell's critique of Davidson is presented, focusing on the coherentism defended by the latter. The critique of the myth of the given (as it appears in Sellars and Wittgenstein), as well as the necessity of a minimal empiricism (which McDowell finds in Quine and Kant), lead to an oscillation in contemporary thinking between two equally unsatisfactory ways of understanding the empirical content (...) of thought. In the second chapter, I defend Davidson's approach, focusing on his theory of interpretation and semantic externalism, as well as on the relation between causes and reasons. In the third chapter, the debate is analyzed in more detail. I criticize the anomalous monism, the way in which the boundaries between the conceptual and the non-conceptual are understood by Davidson, as well as the naturalized Platonism defended by McDowell. This thesis is mainly negative, and it concludes by revealing problems in both positions under evaluation. (shrink)

Ralph Cudworth was an expounder of “Cambridge Platonism.” His main tenet is that natural phenomena cannot be explained only by the principles of mechanism; therefore, the existence of a “plastic nature,” which orders the world in accordance with divine decrees, has to be postulated. The order of creation, in turn, does not depend only on divine will but also on the essences present in God’s intellect. These essences can be known through the notions innate to human soul, which recollects (...) them by means of its active nature. On this basis, Cudworth opposes the Calvinist and the Hobbesian voluntarism, for which divine will is the only source of natural and moral laws. Hobbes is also attacked as a main expounder of atheism, which Cudworth traces back to the idea that matter alone is the source of any activity and phenomenon. To this idea, Cudworth opposes an argument of the existence of God that foreruns Locke’s. (shrink)

Henry More was an expounder of Cambridge Platonism, as he largely relied on a Platonicinspired standpoint in pursuing his aims: the demonstration of the immortality of soul, the critique of atheism and religious enthusiasm. He maintains that soul emanates from God (being therefore not created and pre-existing body) and argues for the existence of a spirit of nature as means to explain natural phenomena, which cannot be accounted for only in mechanical terms. Moreover, he argues for the extended nature (...) of God and spirits, as only in this way they can act on the world. Accordingly, More rejects Descartes’s theory of immaterial substance, but relies on his ontological argument provide a demonstration of the existence of God. His critique to enthusiasm (especially that one characterizing Neoplatonic mysticism) is medical, as he distinguishes between a rational, religious inspiration, and a melancholic one. (shrink)

[EDIT: This book will be published open access. Check back around April 2024 to access the entire book.] One central aim of science is to provide explanations of natural phenomena. What role(s) does mathematics play in achieving this aim? How does mathematics contribute to the explanatory power of science? Rules to Infinity defends the thesis, common though perhaps inchoate among many members of the Vienna Circle, that mathematics contributes to the explanatory power of science by expressing conceptual rules, rules which (...) allow the transformation of empirical descriptions. Mathematics should not be thought of as describing, in any substantive sense, an abstract realm of eternal mathematical objects, as traditional platonists have thought. In Rules to Infinity, this view, which I call mathematical normativism, is updated with contemporary philosophical tools, and it is argued that normativism is compatible with mainstream semantic theory. This allows the normativist to accept that there are mathematical truths, while resisting the platonistic idea that there exist abstract mathematical objects that explain such truths. Furthermore, Rules to Infinity defends a particular account of the distinction between scientific explanations that are in some sense distinctively mathematical – those that explain natural phenomena in some uniquely mathematical way – and those that are only standardly mathematical, and it lays out desiderata for any account of this distinction. Normativism is compared with other prominent views in the philosophy of mathematics such as neo-Fregeanism, fictionalism, conventionalism, and structuralism. Rules to Infinity serves as an entry point into debates at the forefront of philosophy of science and mathematics, and it defends novel positions in these debates. (shrink)

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)

Thanks to the work of Stephen Newmyer, Plutarch’s importance for modern philosophical debates concerning animal rationality and rights has been brought to the forefront. But Newmyer’s important scholarship overlooks Plutarch’s commitment to a range of rational functions that can be ascribed to animals of various sorts throughout the Moralia. Through an application of the ‘spectrum of animal rationality’ described in the treatise On Moral Virtue to the dialogues where his interlocutors explore the rational capacities of non-human animals (especially Whether Land (...) or Sea Animals are Smarter and Gryllus), this article argues that Plutarch’s commitment to a broad and inclusive sense of ‘reason’ conditions any positive account of animal rationality. Rather, any suggestions of the rational capacities of non-human animals are deeply implicated in Plutarch’s universal system of reason, which differentiates grades of rationality to animals based on natural difference – not unlike his contemporary Stoics. While modern proponents of animal rationality might find some of Plutarch’s ideas unpalatable, the upshot of this study is a fuller sense of Plutarch’s articulate and inclusive sense of reason, which is able to accommodate not only Platonist and Peripatetic notions, but also those of the Stoics and Epicureans, who are especially singled out in the humorous dialogue Gryllus. Thus, Plutarch’s ‘eclecticism’ can be explained as a deep commitment to a universal notion of ‘reason’, marked by a range of functions accessible to all animals – including his philosophical enemies. (shrink)

I consider an argument by Plotinus to show how the notion of transcendence is used in explaining the nature of knowledge. The argument is set forth in sections 4-6 of the treatise V.8 (31). In my opinion this argument provides a good example of the philosophical frame of Platonism. I sum up this frame in the following theses: a) for a thing being is to be real and true; so that for a thing being real and being true is (...) equivalent; but b) for a thing being real and true means being intelligible; that is to say: a thing could be understood because that thing is a being; thus, c) for a thing being is the identity of its ontological and epistemological nature. (shrink)

The literature on mathematics suggests that intuition plays a role in it as a ground of belief. This article explores the nature of intuition as it occurs in mathematical thinking. Section 1 suggests that intuitions should be understood by analogy with perceptions. Section 2 explains what fleshing out such an analogy requires. Section 3 discusses Kantian ways of fleshing it out. Section 4 discusses Platonist ways of fleshing it out. Section 5 sketches a proposal for resolving the main problem facing (...) Platonists—the problem of explaining how our experiences make contact with mathematical reality. (shrink)

The quest to understand the natural and the mathematical as well as philosophical principles of dynamics of life forms are ancient in the human history of science. In ancient times, Pythagoras and Plato, and later, Copernicus and Galileo, correctly observed that the grand book of nature is written in the language of mathematics. Platonism, Aristotelian logism, neo-realism, monadism of Leibniz, Hegelian idealism and others have made efforts to understand reasons of existence of life forms in nature and the underlying (...) principles through the lenses of philosophy and mathematics. In this paper, an approach is made to treat the similar question about nature and existential life forms in view of mathematical philosophy. The approach follows constructivism to formulate an abstract model to understand existential life forms in nature and its dynamics by selectively combining the elements of various schools of thoughts. The formalisms of predicate logic, probabilistic inference and homotopy theory of algebraic topology are employed to construct a structure in local time-scale horizon and in cosmological time-scale horizon. It aims to resolve the relative and apparent conflicts present in various thoughts in the process, and it has made an effort to establish a logically coherent interpretation. (shrink)

This work investigates intuitions' nature, demonstrating how philosophers can best use them in epistemology. First, the author considers several paradigmatic thought experiments in epistemology that depict the appeal to intuition. He then argues that the nature of thought experiment-generated intuitions is not best explained by an a priori Platonism. Second, the book instead develops and argues for a thin conception of epistemic intuitions. The account maintains that intuition is neither a priori nor a posteriori but multi-dimensional. It is an (...) intentional but non-propositional mental state that is also non-conceptual and non-phenomenal in nature. Moreover, this state is individuated by its progenitor, namely, the relevant thought experiment. Third, the author provides an argument for the evidential status of intuitions based on the correct account of the nature of epistemic intuition. The suggestion is the fitting-ness approach: intuition alone has no epistemic status. Rather, intuition has evidentiary value as long as it fits well with other pieces into a whole, namely, the pertinent thought experiment. Finally, the book addresses the key challenges raised by supporters of anti-centrality, according to which philosophers do not regard intuition as central evidence in philosophy. To that end, the author responds to them, showing that they fail to affect the account of intuition developed in this book. This text appeals to students and researchers working in epistemology. (shrink)

Gödel’s philosophical conceptions bear striking similarities to Cantor’s. Although there is no conclusive evidence that Gödel deliberately used or adhered to Cantor’s views, one can successfully reconstruct and see his “Cantorianism” at work in many parts of his thought. In this paper, I aim to describe the most prominent conceptual intersections between Cantor’s and Gödel’s thought, particularly on such matters as the nature and existence of mathematical entities (sets), concepts, Platonism, the Absolute Infinite, the progress and inexhaustibility of mathematics.

We are reliable about logic in the sense that we by-and-large believe logical truths and disbelieve logical falsehoods. Given that logic is an objective subject matter, it is difficult to provide a satisfying explanation of our reliability. This generates a significant epistemological challenge, analogous to the well-known Benacerraf-Field problem for mathematical Platonism. One initially plausible way to answer the challenge is to appeal to evolution by natural selection. The central idea is that being able to correctly deductively reason conferred (...) a heritable survival advantage upon our ancestors. However, there are several arguments that purport to show that evolutionary accounts cannot even in principle explain how it is that we are reliable about logic. In this paper, I address these arguments. I show that there is no general reason to think that evolutionary accounts are incapable of explaining our reliability about logic. (shrink)

In this paper I argue that constructivism in mathematics faces a dilemma. In particular, I maintain that constructivism is unable to explain (i) the application of mathematics to nature and (ii) the intersubjectivity of mathematics unless (iii) it is conjoined with two theses that reduce it to a form of mathematical Platonism. The paper is divided into five sections. In the first section of the paper, I explain the difference between mathematical constructivism and mathematical Platonism and I outline (...) my argument. In the second, I argue that the best explanation of how mathematics applies to nature for a constructivist is a thesis I call Copernicanism. In the third, I argue that the best explanation of how mathematics can be intersubjective for a constructivist is a thesis I call Ideality. In the fourth, I argue that once constructivism is conjoined with these two theses, it collapses into a form of mathematical Platonism. In the fifth, I confront some objections. (shrink)

The paper deals with the question whether musical works are created or discovered. In the preliminaries some ontological presuppositions concerning the nature of a musical work setting the stage for the whole debate and the Creationist and Platonist views are discussed. The psychological concepts of creation and discovery are distinguished from their ontological counterparts and it turns out that only the ontological ones are relevant in this context and that the Creationist arguments fail to prove the point in question. Finally (...) it is argued that there is not necessaryly a conflict between the positions of the creationist and the Platonist, if they are construed in an appropriate way. The Creationist view that to compose is to create and the Platonist that to compose is to discover are compatible, at least if creation is understood in a quite natural and common sense way. (shrink)

The Found and the Made: science, reason, and the reality of nature is a critical study of the role of abstraction and mathematical modeling in science, and how these affect the relationship of science and society to nature. This is a précis of the book, which questions the bias inherited from our religious and classical roots: that physical reality must be well defined, passive, and inert—a matter of divine or human specification. Determinism, time-reversibility, and isolated systems are persisting artifacts of (...) such a view, along with the notion that nature can be definitively grasped in a ‘theory of everything.’ However, if nature is autonomous in the way that organisms are (and mechanisms are not) it can be expected to self-organize in ways that elude mechanist treatment. Science could advance by taking a more self-reflective stance, acknowledging its role as a form of human cognition and examining the role of its practices and tacit assumptions in producing knowledge. Specifically, it could extend concepts of agency to non-living systems, in order to better explore self-organization in the cosmos at large. Such a shift in thinking might encourage society to extend to nature its natural legal rights. -/- . (shrink)

In this paper, I present a conception of meaning in natural language that I call the ‘process model’. According to this conception, meaning must be regarded as the result of a process of interaction in a community of cognitive-linguistic agents, with one another and with the environment. Drawing on this understanding, I argue that the study of meaning should no longer focus on logical analysis, but rather on an empirical perspective similar to the one in the other social sciences. I (...) briefly compare this view with semantic Platonism, as well as with Wittgenstein’s and Quine’s approaches to meaning. Finally, I outline a way in which this approach could be applied to two current problems in the philosophy of language: the treatment of linguistic vagueness and the definition of truth. The treatment of all these questions is very cursory, as a sort of travel guide for a future more detailed research. (shrink)

Completing the systematic henadological interpretation of Proclus' Platonic Theology begun in "The Intelligible Gods in the Platonic Theology of Proclus" (Méthexis 21, 2008, pp. 131-143) and "The Second Intelligible Triad and the Intelligible-Intellective Gods" (Methexis 23, 2010, pp. 137-157), the present article concerns the conditions of the emergence of fully mediated, diacritical multiplicity out of the polycentric henadic manifold. The product of the activity of the intellective Gods (that is, the product of the intellective activity of Gods as such), in (...) resolving the contradiction between existential uniqueness and universalizable potencies in the divine natures, also grounds the human exercise of phi- losophical cognition in the founding self-analysis of divine individuals. (shrink)

It’s commonly held that particular moral facts are explained by ‘natural’ or ‘descriptive’ facts, though there’s disagreement over how such explanations work. We defend the view that general moral principles also play a role in explaining particular moral facts. More specifically, we argue that this view best makes sense of some intuitive data points, including the supervenience of the moral upon the natural. We consider two alternative accounts of the nature and structure of moral principles—’the nomic view’ and ‘moral (...) class='Hi'>platonism’—before considering in what sense such principles obtain of necessity. (shrink)

In the ontology of music the Aristotelian theory of musical works is the view that musical works are immanent universals. The Aristotelian theory (hereafter Musical Aristotelianism) is an attractive and serviceable hypothesis. However, it is overlooked as a genuine competitor to the more well-known theories of Musical Platonism and nominalism. Worse still, there is no detailed account in the literature of the nature of the universals that the Aristotelian identifies musical works with. In this paper, I argue that the (...) best version of Musical Aristotelianism identifies musical works with structural universals. I first motivate the view by outlining its explanatory benefits. I then argue that Musical Aristotelianism is preferable to Musical Platonism and present a novel account of musical works as structural universals by developing D. M. Armstrong’s theory of structural universals. I discuss the consequences of Musical Aristotelianism with respect to on-going issues in debates about musical works and defend the view against an influential objection, concluding that Musical Aristotelianism is a genuine competitor in debates about the nature of musical works. (shrink)

In a lot of domains in metaphysics the tacit assumption has been that whichever metaphysical principles turn out to be true, these will be necessarily true. Let us call necessitarianism about some domain the thesis that the right metaphysics of that domain is necessary. Necessitarianism has flourished. In the philosophy of maths we find it held that if mathematical objects exist, then they do of necessity. Mathematical Platonists affirm the necessary existence of mathematical objects (see for instance Hale and Wright (...) 1992 and 1994; Wright 1983 and 1988; Schiffer 1996; Resnik 1997; Shapiro 1997 and Zalta 1988) while mathematical nominalists, usually in the form of fictionalists, hold that necessarily such objects fail to exist (see for instance Balaguer 1996 and 1998; Rosen 2001 and Yablo 2005). In metaphysics more generally, until recently it was more or less assumed that whatever the right account of composition—the account of under what conditions some xs compose a y—that account will be necessarily true (for a discussion of theories of composition see Simons 1987 and van Inwagen 1987 and 1990; the modal status of the composition relation is explicitly addressed in Schaffer 2007; Parsons 2006 and Cameron 2007). Similarly, it has generally been assumed that whatever the right account is of the nature of properties, whether they be universals, tropes, or whether nominalism is true, that account will be necessarily true (though see Rosen 2006 for a recent suggestion to the contrary). In considering theories of persistence it has been widely held that whether objects endure or perdure through time is a matter of necessity (Sider 2001; though see Lewis 1999 p227 who defends contingent perdurantism). And with respect to theories of time it is frequently held that whichever of the A- or B-theory is true is necessarily true. A-theorists often argue that there is time in a world only if the A-theory is true at that world (see for instance McTaggart 1903; Markosian 2004; Bigelow 1996; Craig 2001) while B-theorists often argue that the A-theory is internally inconsistent (Smart 1987; Mellor 1998; Savitt 2000 and Le Poidevin 1991). Once again, we find a few recent contingentist dissenters. Bourne (2006) suggests that it is a contingent feature of time that it is tensed, and thus that the A-theory is contingently true. Worlds in which there exist only B-theoretic properties are worlds with time, it is just that time in those worlds time is radically different to the way it is actually. Other defenders of the B-theory, though not expressly contingentists, do offer arguments against versions of the A-theory that try to show that such A-theories theories are inconsistent with the actual laws of nature (see for instance Saunders 2002 and Callender 2000); these arguments, at least, leave room for the possibility that the A-theories in question are contingently false (at least on the assumption that the laws of nature are themselves contingent, an assumption that not everyone accepts). Despite some notable exceptions, necessitarianism has flourished in many, if not most, domains in metaphysics. One such exception is Lewis’ famous defence of Humean supervenience as a contingent claim about our world. Lewis does not argue that necessarily, the supervenience base for all matters of fact in a world is nothing but a vast mosaic of local matters of particular fact. Rather, he thinks that we have reason to think that our world is one in which Humean supervenience holds (see Lewis 1986 p9-10 and 1994). Another exception to the necessitarian orthodoxy is to be found in the lively debate about the modal status of the laws of nature. Here, if anything, contingentism has been the dominating force, with it generally being held that there are possible worlds in which different laws of nature hold (this view is defended by, among others, Lewis 1986 and 2010; Schaffer 2005 and Sidelle 2002). Necessitarian dissenters hold that the laws of nature are necessary, frequently because they think it is necessary that fundamental properties have the causal or nomic profiles they do (see for instance Shoemaker 1980 and 1988; Swoyer 1982; Bird 1995; Ellis and Lierse 1994). Nevertheless, when it comes to thinking about the nature of the laws themselves, the necessitarian presumption is back on firm footing. Though there is disagreement about whether the laws are generalisations that feature in the most virtuous true axiomatisation of all the particular matters of fact (often known as the Humean view of laws and defended by Ramsey 1978; Lewis 1986 and Beebee 2000) or whether laws are relations of necessity that hold between universals (a view defended by Armstrong 1983; Dretske 1977; Tooley 1977 and Carroll 1990) no one has seriously suggested that it might be a contingent matter which of these is the right account of laws. The necessitarian orthodoxy is not surprising since metaphysics is largely an a priori process. While a priori reasoning may be used to determine whether a proposition is necessary or contingent, it is not well placed (in the absence of a posteriori evidence) to determine whether a contingent proposition is actually true or false. Since metaphysicians aim to tell us which principles are true in which worlds, on the face of it the discovery that metaphysical principles are contingent seems to make part of the task of metaphysics epistemically intractable. In what follows I consider two reasons one might end up embracing contingentism and whether this would lead one into epistemic difficulty. The following section considers a route to contingent metaphysical truths that proceeds via a combination of conceptual necessities and empirical discoveries. Section 3 considers whether there might be synthetic contingent metaphysical truths, and the final section raises the question of whether if there were such truths we would be well placed to come to know them. (shrink)

This book tells the story of modern ethics, namely the story of a discourse that, after the Renaissance, went through a methodological revolution giving birth to Grotius’s and Pufendorf’s new science of natural law, leaving room for two centuries of explorations of the possible developments and implications of this new paradigm, up to the crisis of the Eighties of the eighteenth century, a crisis that carried a kind of mitosis, the act of birth of both basic paradigms of the two (...) following centuries: Kantian ethics and utilitarianism. The new science of natural law carried a fresh start for ethics, resulting from a mixture of the Old and the New. It was, as suggested by Schneewind, an attempt at rescuing the content of Scholastic and Stoic doctrines on a new methodological basis. The former was the claim of existence of objective and universal moral laws; the latter was the self-aware attempt at justifying a minimal kernel of such laws facing skeptical doubt. What Bentham and Kant did was precisely carrying this strategy further on, even if restructuring it each of them around one out of two alternative basic claims. The nineteenth- and twentieth-century critics of the Enlightenment attacked both not on their alleged failure in carrying out their own projects, but precisely on having adopted Grotius’s and Pufendorf’s project. What counter-enlightenment has been unable to spell out is which alternative project could be carried out facing the modern condition of pluralism, while on the contrary, if we takes a closer look at developments in twentieth-century ethics or at on-going discussions on practical issues, we might feel inclined to believe that Grotius’s and Pufendorf’s project is as up-to-date as ever. -/- Table of Contents -/- Preface I. Fathers of the Reformation and Schoolmen 1.1. Luther: passive justice and the good deeds; 1.2. Calvin: voluntarism and predestination; 1.3. Baroque Scholasticism; 1.4. Casuistry and Institutiones morales -/- II Neo-Platonists, neo-Stoics, neo-Sceptics 2.1. Aristotelian, neo-Platonic, neo-Epicurean and neo-Cynic Humanists; 2.2. Oeconomica and the art of living; 2.3. Neo-Stoics; 2.4. Neo-Sceptics; 2.5. Moralistic literature -/- III Neo-Augustinians 3.l. The Jansenists on natura lapsa, sufficient grace, pure love; 3.2. Nicole on the impossibility of self-knowledge; 3.3. Nicole on self-love and charity; 3.4. Nicole against civic virtue, for Christian civility; 3.5. Malebranche on general laws and necessary evil; 3.6. Malebranche on Neo-Augustinianism and Platonism. -/- IV Grotius, Pufendorf and the new moral science 4.1. Grotius against Aristotle and the sceptics; 4.2. Mersenne and Gassendi; 4.3. Descartes on ethics as the last branch of philosophy’s tree; 4.4. Hobbes on scepticism and the new moral science; 4.5. Spinoza on the new moral science as a descriptive science;4.6. Locke on voluntarism and probabilism; 4.7. Pufendorf on natural law as an exact science; 4.8. Pufendorf on physical and moral entities; 10. Pufendorf on self-preservation -/- V The empiricist version of the new moral science: from Cumberland to Paley 5.1. Cumberland against Hobbesian voluntarism; 5.2. Cumberland and theological consequentialism; 5.3. Cumberland on universal benevolence and self-love; 5.4. Shaftesbury on the moral sense; 5.5. Hutcheson on natural law and moral faculties; 5.6. Gay, Brown, Paley and theological consequentialism. -/- VI The rationalist version of the new moral science: from Cudworth to Price 6.1. The Cambridge Platonists; 6.2. Shaftesbury on the moral sense; 6.3. Butler and a third way between voluntarism and scepticism; 6.4. Price and the rational character of moral truths; -/- VII Leibniz’s compromise between the new moral science and Aristotelianism 1.Leibniz against voluntarism; 2.Leibniz against the division between the physical and the moral good; 3.Leibniz on la place d’autrui and theological consequentialism; 4.Thomasius, Wolff, Crusius -/- VIII French eighteenth-century philosophers without the new moral science 8.1. The genealogy of our ideas of virtue and vice; 8.2. Maupertuis and moral arithmetic 8.3. The philosophes and the harmony of interests; 8.4. Rousseau on corruption, self-love, and virtue; 8.5. Sade on the merits of vice -/- IX Experimental moral science: Hume and Adam Smith 9.1. Mandeville’s paradox; 9.2. Hutcheson on the law of nature and moral faculties; 9.3. Hume on experimental moral philosophy and the intermediate principles; 9.4. Hume’s Law; 9.5. Hume on the fellow-feeling; 9.6. Hume on natural and artificial virtues and disinterested pleasure for utility; 9.7. Adam Smith’s anti-realist metaethics; 9.8. Adam Smith on self-deception and the paradox of happiness; 9.9. Adam Smith on sympathy and the impartial spectator; 9.10. Adam Smith on the twofold criterion for moral judgement and its paradox; 9.11. Reid on the refutation of scepticism and the self-evidence of duty -/- X Kantian ethics 10.1. Kantian metaethics: moral epistemology; 10.2. Kantian metaethics: moral ontology; 10.3. Kantian metaethics: moral psychology; 10.4. Kantian normative ethics; 10.5. Kant on the impracticability of applied ethics; 10.6. Kantian moral anthropology; 10.7. Civilisation and moralisation; 10.8. Theology on a moral basis and the origins of evil; 10.9. Fichte and the transformation of theoretical philosophy into practical philosophy XI Bentham and utilitarianism 11.1. Bentham’s linguistic theory; 11.2. Bentham’s moral ontology, psychology, and theory of action; 11.3. The principle of greatest happiness; 11.4. The critique of religious ethics; 11.5. The new morality; 11.6. Interest and duty; 11.7. Virtues; 11.8. Private ethics and legislation -/- XII Followers of the Enlightenment: liberal Judaism and Liberal Theology 12.1. Mendelssohn; 12.2. Salomon Maimon; 12.3. Haskalā and liberal Judaism; 12.4. Liberal Theology. -/- XIII Counter-Enlighteners 13.1.Romanticism and the fulfilment of individuality as the Summum Bonum; 13.2. Hegel on history as the making of liberty; 13.3. Hegel on the unhappy consciousness and the beautiful soul; 13.4. Hegel on Morality and Sittlichkeit; 13.5. Marx on ideology, alienation, and praxis; 13.6. Schopenhauer on compassion; 13.7. Kierkegaard on faith beyond ethics. -/- XIV Followers of the Enlightenment: intuitionists and utilitarian 14.1 Whewell‘s criticism of utilitarianism; 14.2 Whewell on morality and the philosophy of morality; 14.3 Whewell on the Supreme Norm; 14.4 Whewell on the conflict between duties; 14.5 Mill and the proof of the principle of utility; 14.6 Mill’s eudemonistic utilitarianism; 14.7 Mill on rules -/- XV Followers of the Enlightenment: neo-Kantians and positivists 15.1. French spiritualism; 15.2. Neo-Kantians: the Marburg school; 15.3. Neo-Kantians: the Marburg school; 15.4. Comte’s positivism and the invention of altruism; 15.5. Social Darwinism; 15.6. Wundt and an ethic of humankind -/- XVI Post-enlighteners: Sidgwick 16.1. Criticism of intuitionism; 16.2. On ethical egoism; 16.3. Criticism of utilitarianism -/- XVII Post-enlighteners: Durkheim 17.1. Sociology as physics of customs; 17.2. Morality as physics of customs and as practical science; 17.3. On Kantian ethics and utilitarianism; 17.4. The variability of moralities;17.5. Social solidarity as end and justification of morality; 17.6. Secular morality as “sociodicy”; XVIII Post-enlighteners: Nietzsche 18.1. On the Dionysian; 18.2. On the deconstruction of the world of values 18.3 On the twofold genealogy of moralities; 18.4. On ascetics and nihilism; 18.5. Normative ethics of self-fulfilment -/- Bibliography / Index of names / Index of concepts -/- . (shrink)

My aim in this chapter is to extend the Realist account of the foundations of linguistics offered by Postal, Katz and others. I first argue against the idea that naive Platonism can capture the necessary requirements on what I call a ‘mixed realist’ view of linguistics, which takes aspects of Platonism, Nominalism and Mentalism into consideration. I then advocate three desiderata for an appropriate ‘mixed realist’ account of linguistic ontology and foundations, namely (1) linguistic creativity and infinity, (2) (...) linguistics as a theory of types (and not tokens) and (3) independence but structural respect between language and the linguistic competence thereof. My own brand of mixed realism, what I call ante rem realism, is defended along the lines of an ante rem or non-eliminative structuralism, the likes of which has been offered for mathematics by Resnik (1997) and Shapiro (1997). In other words, grammars describe a mind-independent (but not necessarily unconnected) linguistic reality in terms of linguistic patterns or structures also known as natural languages. I further amend this picture to allow for the possibility of a naturalistic account of language acquisition and evolution by arguing against a particular view of the type-token distinction. (shrink)

Realism about musical works is often tied to some type of Platonism. Nominalism, which posits that musical works exist and that they are concrete objects, goes with ontological realism much less often than Platonism: there is a long tradition which holds human-created objects (artifacts) to be mind-dependent. Musical Platonism leads to the well-known paradox of the impossibility of creating abstract objects, and so it has been suggested that only some form of nominalism becoming dominant in the ontology (...) of art could cause a great change in the field and open up new possibilities. This paper aims to develop a new metaontological view starting from the widely accepted claim that musical works are created. It contends that musical works must be concrete and created objects of some sort, but, nevertheless, they are mind-independent, and we should take the revisionary methodological stance. Although musical works are artifacts, what people think about them does not determine what musical works are. Musical works are similar to natural objects in the following sense: semantic externalism applies to the term ‘musical work’ because, firstly, they possess a shared nature, and, secondly, we can be mistaken about what they are. (shrink)

In Nemesius' treatment of providence we find an original and suggestive step in the historical development of this teaching. His treatise 'On the Nature of Man' calls for a special attention that focuses on it not only as a testimony of the reception of ancient thought, but also as a personal contribution. In particular, in addition to his criticisms of the doctrine of fate and the conception of general providence advocated by some pagan authors, we find the introduction of divine (...) freedom as a predominant factor in the presentation of providence. Divine power and its freedom (even with respect to necessary entities) establish a new and specifically Christian approach to the problem. The divine will gains in prominence and, as a consequence, the metaphysical scope of God's power, which is above the creatural concepts of contingency and necessity, is emphasised. Thus, Nemesius anticipates the more complex expositions that would later be given by the medieval scholastics, who, like him, would make an ever wider use of Aristotelian philosophy without limiting themselves to taking Platonism and the other Hellenistic schools into account. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 41.3 (2003) 417-418 [Access article in PDF] Heidi M. Ravven and Lenn E. Goodman, editors. Jewish Themes in Spinoza's Philosophy. Albany: The State University of New York Press, 2002. Pp. ix + 290. Cloth, $78.50. Paper, $26.95.The current anthology presents an important contribution to the study of Spinoza's relation to Jewish philosophy as well as to contemporary scholarship of Spinoza's metaphysics and political (...) theory.In the opening essay, Lenn Goodman takes upon himself the ambitious task of evaluating Spinoza's positions as to several central disputes throughout the history of philosophy. In this rich and extensive essay Goodman argues that Spinoza's radical rationalism makes him pursue syntheses between traditionally opposed poles. Lee Rice's article, "Love of God in Spinoza," carefully analyzes Spinoza's concept of love and suggests the existence of three kinds of love parallel to the three kinds of knowledge. Warren Montag addresses the unresolved issue of Spinoza's relation to the Kabbalah. Montag sides with Deleuze against the association of Spinozism with the Neo-Platonic theory of emanation, arguing that unlike the Neo-Platonists and Kabbalists, Spinoza's view of God rules out any hierarchy, and does not assume a descent from primal simplicity into complexity. Edwin Curley contributes a beautiful reading of the story of Job and of Maimonides' interpretation of the story. Curley follows Maimonides' discussion of the various positions regarding the question of divine providence and his attempt to identify the speeches of the characters of the book of Job with each of these positions. Following a sensitive consideration of various attempts to [End Page 417] recover Maimonides' own rather concealed view about providence, Curley concludes that "[W]hatever you think Maimonides' final word on Job is, our examination of him certainly supports [Spinoza's] claim that [Maimonides] reads Scripture in terms of Platonic or Aristotelian speculations" (170).Warren Zev Harvey's essay addresses Spinoza's most neglected work, the Compendium of the Grammar of the Hebrew Language. Apart from providing an outline of Spinoza's work as a Hebrew grammarian ("a noun-intoxicated grammarian") and pointing out some of Spinoza's more eccentric views about the nature of the Hebrew language, Harvey makes a compelling case for the importance of the book for the study of Spinoza's metaphysics. He points out a fascinating analogy which Spinoza draws between the parts of speech: (proper) noun, adjectives, and participles, and Spinoza's key metaphysical terms: substance, attributes, and modes. (Think about the weighty implications of this analogy for Curley's interpretation of the substance-mode relation.) According to Harvey, Spinoza's claim that all Hebrew words are derived from nouns is a linguistic parallel to Spinoza's pivotal metaphysical doctrine which makes all things be in the substance (or God). Kenneth Seeskin's article discusses the views of Maimonides and Spinoza on the question of creation and God's relation to the world. Seeskin reconstructs an interesting critical dialogue between these two philosophers. According to Seeskin, both philosophers held that an effect must be similar to its cause. Maimonides' commitment to Negative Theology and to the denial of any common measure between God and finite things forced him to deny causal or explanatory relation between God and the world. What Maimonides can suggest instead is rather to prove that the emergence of the world ex nihilo and according to the divine will, is possible, and even likely given certain astronomical facts of medieval science. Thus, Maimonides would hold that "although we have grounds for believing that creation occurred, we will never be in a position to say how" (120). For Spinoza, such a view constitutes nothing but a "sanctuary of ignorance." Thus, according to Seeskin, Spinoza affirms a clear causal relation between God and the world of finite things insofar as God is said to explain the world. While I tend to agree with most aspects of this analysis, it is important to note that Spinoza also claims that "between the finite and infinite there is no relation" (Letter 54). This... (shrink)

The commentary on Plato's Republic by Proclus (d. 485 CE), which takes the form of a series of essays, is the only sustained treatment of the dialogue to survive from antiquity. This three-volume edition presents the first complete English translation of Proclus' text, together with a general introduction that argues for the unity of Proclus' Commentary and orients the reader to the use which the Neoplatonists made of Plato's Republic in their educational program. Each volume is completed by a Greek (...) word index and an English-Greek glossary that will help non-specialists to track the occurrence of key terms throughout the translated text. The second volume of the edition presents Proclus' essays on the tripartite soul and the virtues, female philosopher rulers, and the metaphysics and epistemology of the central books of the Republic. The longest of the essays in Volume II interprets the nature and significance of the 'marriage number' whose miscalculation leads to the degeneration of the ideal city-state. (shrink)

In this paper, I will discuss Deleuze’s account of the reversal of Platonism in chapter one of Difference and Repetition, tying it together with Merleau-Ponty’s work on perception. In Difference and Repetition, there are only two references to Merleau-Ponty – one in the note on Heidegger that was added at the insistence of his examiners, and one brief mention in a footnote. Nonetheless, as we shall see, many of the discussions of the origin of representation, as well as the (...) relation of the determinate to the indeterminate in the structure of difference, and the nature of depth, draw heavily on Merleau-Ponty’s work. While there has been some recognition of this influence, I want to draw out some specific points where Deleuze draws on Merleau-Ponty within chapter one of Difference and Repetition. On the other side, as far as I am aware, there is no sustained discussion of Plato in Merleau-Ponty’s work. In showing how Deleuze takes up Merleau-Ponty in his explicit project of reversing Plato, I want to show that the move to a philosophy of the simulacrum is synonymous with Merleau-Ponty’s thesis of the primacy of perception. I will begin by talking about Plato and representation, which ends the chapter, before returning to the beginning of the chapter to look at the nature of difference, then turning to the question of how representation covers over difference. I want to conclude by looking at what Deleuze considers to be the limitations of Merleau-Ponty’s account. (shrink)

In the twenty-fourth aporia of Theophrastus' Metaphysics, there appears an important, if ‘bafflingly elliptical’, ascription to Plato and the ‘Pythagoreans’ of a theory of reduction to the first principles via ‘imitation’. Very little attention has been paid to the idea of Platonic and ‘Pythagorean’ reduction through the operation of ‘imitation’ as presented by Theophrastus in his Metaphysics. This article interrogates the concepts of ‘reduction’ and ‘imitation’ as described in the extant fragments of Theophrastus’ writings – with special attention to his (...) Metaphysics – in an attempt to make sense of how, precisely, Theophrastus characterizes the metaphysical systems of Plato and the ‘Pythagoreans’. A fuller examination of Aporia 24 produces important new understandings of the nature of the Early Academy in the mid fourth century B.C.E. Specifically, by ascribing the concept of reduction via ‘imitation’ to Plato and the ‘Pythagoreans’, Theophrastus is actually describing theories about the structure of the universe held by an important Platonist competitor and the contemporary head of the Academy in Athens, Xenocrates of Chalcedon (396/5–314/13 B.C.E.), who (a) took it upon himself to establish a Platonic doctrine that could be associated with his master’s writings and (b) coordinated that doctrine with the philosophical precepts of the Pythagoreans. As a consequence, we are prompted to question Aristotle’s famous ascription of a theory of ‘imitation’ to the metaphysics of the genuine contemporary or recently deceased Pythagoreans (such as Philolaus of Croton or Archytas of Tarentum) and consider how Xenocrates’ writings on Plato and the ‘Pythagoreans’ might be informing both Theophrastus’ and Aristotle’s descriptions of the Platonic and Pythagorean philosophical system(s). (shrink)

In the history of seventeenth-century philosophy, the distinction between material and immaterial extension is closely associated with the Cambridge Platonist Henry More (1614–1687). The aspect of More’s conception of immaterial extension that proved most influential is his theory of absolute divine space. Very plausibly, the Newtonian conception of space owes a great deal to More’s views on space. More’s views on space in turn were closely linked to his views on the nature of individual spirits—the souls of brutes and humans, (...) as well as the intelligences of the angels. It has been acknowledged that More’s theory of absolute space was not without precedents. Most importantly, Francesco Patrizi da Cherso (1529– .. (shrink)