Mark Balaguer’s project in this book is extremely ambitious; he sets out to defend both platonism and fictionalism about mathematical entities. Moreover, Balaguer argues that at the end of the day, platonism and fictionalism are on an equal footing. Not content to leave the matter there, however, he advances the anti-metaphysical conclusion that there is no fact of the matter about the existence of mathematical objects.1 Despite the ambitious nature of this project, for the most part Balaguer does (...) not shortchange the reader on rigor; all the main theses advanced are argued for at length and with remarkable clarity and cogency. There are, of course, gaps in the account but these should not be allowed to overshadow the sig-. (shrink)

The aim of this paper is to present a perspective on Iris Murdoch conception of metaphysics, starting from her puzzling contention that she could describe herself as a ?Wittgensteinian Neo-Platonist?. I argue that this statement is a central clue to the nature both of her philosophical method which is strongly reminiscent of Wittgenstein's, and of her Platonism, which in its emphasis on the everyday and metaphorical aspects of his work differs starkly from received modern interpretations. Placing Murdoch between Plato (...) and Wittgenstein can help us to understand the nature of her metaphysics as a complex, continuous, pictorial activity, which shows a deep awareness of and is compatible with the late twentieth century and contemporary distrust of large metaphysical systems or explanations. (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)

The first comprehensive account of Platonism in Antiquity, from the foundation of Plato's Academy in the fourth century BC to Late Antiquity. Written in a clear language, the book shows that Platonism is philosophically engaging and very influential in the history of philosophy. Useful for both students and scholars.

Traversing the genres of philosophy and literature, this book elaborates Deleuze's notion of difference, conceives certain individuals as embodying difference, and applies these conceptions to their writings.

Abstract An anonymous manuscript from the fourteenth or early fifteenth century, recently discovered, apparently transmitted Thierry of Chartres's philosophical theology to Nicholas of Cusa around 1440. Yet the author of the treatise is not endorsing Thierry's views, as both Cusanus and modern readers have assumed, but in fact is writing in order to refute them. Curiously the author never mentions Thierry's best known triad of unitas, aequalitas and conexio . But a careful comparison of the structure of the author's argument (...) to Thierry's extant works shows that the author was nevertheless quite familiar with the Breton master's writings. The reatise's author offers an incisive critique of Thierry's theory of “four modes of being“ and rejects two of the modes in particular. From this new perspective, the manuscript can be valued as the first known evidence of Thierry of Chartres's late medieval reception. (shrink)

Gottlob Frege is often called a "platonist". In connection with his philosophy we can talk about platonism concerning three kinds of entities: numbers, or logical objects more generally; concepts, or functions more generally; thoughts, or senses more generally. I will only be concerned about the first of these three kinds here, in particular about the natural numbers. I will also focus mostly on Frege's corresponding remarks in The Foundations of Arithmetic (1884), supplemented by a few asides on Basic Laws (...) of Arithmetic (1893/1903) and "Thoughts" (1918). My goal is to clarify in which sense the Frege of Foundations and Basic Laws is a platonist concerning the natural numbers.1.. (shrink)

This book examines Proclus' doctrine of evil in light of the tradition of exegesis of Plato's treatment of evil within the schools of ancient Platonism, from ...

Atheistic Platonism is an alternative to both theism and nihilistic atheism. It shows how any jobs allegedly done by God are better done by impersonal Platonic objects. Without Platonic objects, atheism degenerates into an illogical nihilism. Atheistic Platonism instead provides reality with foundations that are eternal, necessary, rational, beautiful, and utterly mindless. It argues for a plenitude of mathematical objects, and an infinite plurality of possible universes. It provides mindless rational grounds for objective values, and for objective moral (...) laws for the persons who evolve in universes. It defines a meaningful way of life, which facilitates self-improvement. Atheistic Platonists argue for computational theories of life after death. Atheistic Platonism includes a rich system of spiritual symbols. It values transformational practices and ecstatic experiences. Where atheisms based on materialism fail, atheisms based on Platonism succeed. (shrink)

_Brill's Companion to Medieval and Early Platonism_ explores the impact exercised by Platonism on philosophy and many other fields of European culture, and the links it established with Christian, Jewish, Byzantine and Arabic traditions of thought during the Middle Ages and the early modern period.

In _Brill's Companion to the German Platonism_, an international team of scholars traces the interpretation and appropriation of Plato among German thinkers and writers from Nicholas of Cusa to Peter Sloterdijk, with special emphasis on nineteenth- and twentieth-century reception.

The paper surveys the problem of language and translation in Antoine Berman’s pioneering achievements. This French philosopher of translation was deeply influenced not only by Schleiermacher, who affirmed the unity of thought and expression, but also by Benjamin, who drew attention to the formalism of language. In Berman’s view the essence of language lies in signifiers and letters. He criticized the Platonic view of language and translation which endows non-sensual, mental, and universal elements, with a higher ontological status. Thus Berman (...) proposed a modern theory of translation without Platonism. Meanings can be realized through and within letters not only in the source language, but also in the target language. In this sense, Berman’s philosophy of translation clearly reflects “the achievements of modern semiotics” . The paper criticizes the conception of translation as trapped within the logic of identity, which ignores the differences between, and the multiplicity of, languages as a result of a deep-rooted drive to obtain a universal meaning. The paper shows that Berman’s philosophy reflects and accepts this multiplicity allowing thereby the logic of difference/otherness to flourish in translation. (shrink)

In this dissertation I attempt to develop a framework for appreciating the significance of Wittgenstein's rule-following considerations for various issues in metaphysics. ;In chapter one I develop the notion of a conceptually structured property. I argue that the proper target of the rule-following arguments is not the idea that we can have cognitive access to semantic facts tout court, but rather the idea that we can have cognitive access to them in a sense of cognitive access defined by what I (...) call the Sublimated Conception of cognitive access: the view that we can only cognitively access the facts about the instantiation of conceptually unstructured properties. The conclusion of chapter one is that there cannot be semantic facts that we are capable of cognitively accessing in the sense of access defined by the Sublimated Conception. ;In chapters two and three I look at the irrealist and anti-realist positions that can be viewed as reactions to the predicament we are left in by the conclusion of chapter one. I suggest that neither of these sorts of view provides us with a stable response to the rule-following arguments. ;In chapter four, I try to show that there is an alternative to the Sublimated Conception of cognitive access, which, following, John McDowell, I call Humanized Platonism. According to Humanized Platonism we are perfectly entitled to think of ourselves as cognitively accessing facts about the instantiation of conceptually structured properties. I claim that Humanized Platonism provides us with a way of meeting the challenge of chapter one, whilst avoiding the difficulties associated with irrealism and anti-realism. ;In chapter five I try to show how various aspects of John McDowell's work can be explicated using our framework, and I also spend some time discussing the contemporary literature on response-dependence and related matters. (shrink)

Platonism and Christian Thought in Late Antiquity examines the various ways in which Christian intellectuals engaged with Platonism both as pagan competitors and as a source of philosophical material useful to the Christian faith. The chapters are united in their goal to explore transformations that took place in the reception and interaction process between Platonism and Christianity in this period. The contributions in this volume explore the reception of Platonic material in Christian thought, showing that the transmission (...) of cultural content is always mediated, and ought to be studied as a transformative process by way of selection and interpretation. Some chapters also deal with various aspects of the wider discussion on how Platonic, and Hellenic, philosophy and early Christian thought related to each other, examining the differences and common ground between these traditions. Platonism and Christian Thought in Late Antiquity offers an insightful and broad ranging study on the subject, which will be of interest to students of both philosophy and theology in the Late Antique period, as well as anyone working on the reception and history of Platonic thought, and the development of Christian thought. uity offers an insightful and broad ranging study on the subject, which will be of interest to students of both philosophy and theology in the Late Antique period, as well as anyone working on the reception and history of Platonic thought, and the development of Christian thought. (shrink)

Platonism, Ficino to Foucault explores some key chapters in the history Platonic philosophy from the revival of Plato in the fifteenth century to the new reading of Platonic dialogues promoted by the so-called ‘Critique of Modernity’.

Emmanuel Levinas's concept of "the face of the Other" involves an ethical mandate that is presumably transcultural or, in his terms, "precultural." His essay "Meaning and Sense" provides his most explicit defense of the idea that the face has a meaning that is not culturally relative, though it is always encountered within some particular culture. Levinas identifies his position there as a "return to Platonism." Through a careful reading of that essay, exploring Levinas's use of religious terminology and the (...) (sometimes implicit) relationships of the essay to the work of other phenomenologists and of Saussure, the author seeks to clarify (1) what Levinas retains and what he rejects in returning to Platonism "in a new way," (2) the sense in which this return constitutes an "overcoming" of relativism, and (3) the nature of the phenomenological warrant that he offers for his position. (shrink)

In Science without numbers Hartry Field attempted to formulate a nominalist version of Newtonian physics?one free of ontic commitment to numbers, functions or sets?sufficiently strong to have the standard platonist version as a conservative extension. However, when uses for abstract entities kept popping up like hydra heads, Field enriched his logic to avoid them. This paper reviews some of Field's attempts to deflate his ontology by inflating his logic.

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.

'Middle' Platonism has some claim to be the single most influential philosophical movement of the last two thousand years, as the common background to 'Neoplatonism' and the early development of Christian theology. This book breaks with the tradition of considering it primarily in terms of its sources, instead putting its contemporary philosophical engagements front and centre to reconstruct its philosophical motivations and activity across the full range of its interests. The volume explores the ideas at the heart of Platonist (...) philosophy in this period and includes a comprehensive selection of primary sources, a significant number of which appear in English translation for the first time, along with dedicated guides to the questions that have been, and might be, asked about the movement. The result is a tool intended to help bring the study of Middle Platonism into mainstream discussions of ancient philosophy. (shrink)

Alguns filósofos medievais subscrevem certo cognitivismo moral, de raiz platônica, ao entenderem que a boa escolha tem em vista o conhecimento da Ideia do Bem; e, por conseguinte, a má escolha residiria na sua ignorância ou num certo grau de afastamento da mesma. Grande parte, porém, firma uma tese distinta: de que a escolha é motivada secundariamente pelo conhecimento e primariamente pela vontade; e em última análise: que a vontade delibera a respeito de alternativas conhecidas pelos agentes. Tomando a escolha (...) com relação à virtude da justiça, avaliaremos três posições recorrentes no pensamento medieval que, apesar de beberem na mesma fonte platônica, resultam em soluções divergentes. (shrink)