In his Confessions, Augustine says that he achieved great intellectual insight from what he cryptically calls the “books of the Platonists.” Prior to reading these books, he was a corporealist and was unable to conceive of incorporeal beings. Because of the insurmountable philosophical problems corporealism caused for the Christian belief he was seeking, Augustine claims that this was the greatest intellectual barrier he faced in converting to Christianity. As such, the specific contents and effects of these Platonist books are (...) of great biographical and philosophical interest. Heretofore, the explanation of the contents and effects of these books has not been forthcoming. This essay aims to supply it. I argue that Augustine learned the mereological distinction between pertensive and entensive presence in the books of the Platonists. This distinction is required for properly conceiving of incorporeal beings. In support of this thesis, I show that Augustine himself says that he learned this very distinction, that the distinction is present in Platonist texts that scholars agree were among “the books of the Platonists,” that the distinction is present in one of Augustine’s earliest works, and that this distinction is uniquely capable of resolving the philosophical difficulties he faced as a corporealist. (shrink)

Spiritual Taxonomies and Ritual Authority recounts how philosophers of the late third century C.E. organized the spirit world into hierarchies, positioning themselves as high priests in the process. By establishing themselves as experts on sacred matters, they fortified their authority, prestige, and reputation.

Platonism about mathematics (or mathematical platonism) is the metaphysical view that there are abstract mathematical objects whose existence is independent of us and our language, thought, and practices. In this survey article, the view is clarified and distinguished from some related views, and arguments for and against the view are discussed.

This is the first monograph devoted to the genesis, aims, and argument of Berthold of Moosburg’s 14th-century _Commentary_ on Proclus’ _Elements of Theology_, the most extensive commentary on Proclus’ text in any language. It includes an English translation of the _Commentary_’s three fundamental prefaces.

'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)

In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do not currently have any good argument (...) for or against platonism, but that we could never have such an argument and, indeed, that there is no fact of the matter as to whether platonism is correct. (shrink)

Thrasyllus, best known as the Roman emperor Tiberius' astrologist, figured prominently in the development of ancient Platonism. How prominently and to what effect are questions that have puzzled philosophers down to our day; Harold Tarrant's important new book attempts to answer them.

This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does (...) this engaging book present the Platonist-Naturalist debate over mathematics in a comprehensive fashion, but it also sheds considerable light on non-mathematical aspects of a dispute that is central to contemporary philosophy. (shrink)

In his third and concluding volume, Lloyd P. Gerson presents an innovative account of Platonism, the central tradition in the history of philosophy, in conjunction with Naturalism, the "anti-Platonism" in antiquity and contemporary philosophy. In this broad and sweeping argument, Gerson contends that Platonism identifies philosophy with a distinct subject matter, namely, the intelligible world and seeks to show that the Naturalist rejection of Platonism entails the elimination of a distinct subject matter for philosophy. Thus, the possibility of philosophy depends (...) on the truth of Platonism. From Aristotle to Plotinus to Proclus, Gerson clearly links the construction of the Platonic system well beyond simply Plato's dialogues, providing strong evidence of the vast impact of Platonism on philosophy throughout history. Platonism and Naturalism concludes that attempts to seek rapprochement between Platonism and Naturalism are unstable and likely indefensible. (shrink)

Modal Platonism utilizes "weak" logical possibility, such that it is logically possible there are abstract entities, and logically possible there are none. Modal Platonism also utilizes a non-indexical actuality operator. Modal Platonism is the EASY WAY, neither reductionist nor eliminativist, but embracing the Platonistic language of abstract entities while eliminating ontological commitment to them. Statement of Modal Platonism. Any consistent statement B ontologically committed to abstract entities may be replaced by an empirically equivalent modalization, MOD(B), not so ontologically committed. This (...) equivalence is provable using Modal/Actuality Logic S5@. Let MAX be a strong set theory with individuals. Then the following Schematic Bombshell Result (SBR) can be shown: MAX logically yields [T is true if and only if MOD(T) is true], for scientific theories T. The proof utilizes Stephen Neale's clever model-theoretic interpretation of Quantified Lewis S5, which I extend to S5@. (shrink)

Platonism has played a central role in Christianity and is essential to a deep understanding of the Christian theological tradition. At times, Platonism has constituted an essential philosophical and theological resource, furnishing Christianity with an intellectual framework that has played a key role in its early development, and in subsequent periods of renewal. Alternatively, it has been considered a compromising influence, conflicting with the faith's revelatory foundations and distorting its inherent message. In both cases the fundamental importance of Platonism, as (...) a force which Christianity defined itself by and against, is clear. Written by an international team of scholars, this landmark volume examines the history of Christian Platonism from antiquity to the present day, covers key concepts, and engages issues such as the environment, natural science and materialism. (shrink)

"An account of the central tradition in the history of philosophy, Platonism, along with the class of philosophical positions collectively known as Naturalism and the 'anti-Platonism' of Naturalism both in antiquity and in contemporary philosophy"--.

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.

In this essay I first outline contemporary Platonism about musical works – the theory that musical works are abstract objects. I then consider reasons to be suspicious of such a view, motivating a consideration of nominalist theories of musical works. I argue for two conclusions: first, that there are no compelling reasons to be a nominalist about musical works in particular, i.e. that nominalism about musical works rests on arguments for thoroughgoing nominalism, and, second, that if Platonism fails, fictionalism about (...) musical works is to be preferred to other nominalist ontologies of musical works. (shrink)

This book does three main things. First, it defends mathematical platonism against the main objections to that view (most notably, the epistemological objection and the multiple-reductions objection). Second, it defends anti-platonism (in particular, fictionalism) against the main objections to that view (most notably, the Quine-Putnam indispensability objection and the objection from objectivity). Third, it argues that there is no fact of the matter whether abstract mathematical objects exist and, hence, no fact of the matter whether platonism or anti-platonism is true.

A response is given here to Benacerraf's 1973 argument that mathematical platonism is incompatible with a naturalistic epistemology. Unlike almost all previous platonist responses to Benacerraf, the response given here is positive rather than negative; that is, rather than trying to find a problem with Benacerraf's argument, I accept his challenge and meet it head on by constructing an epistemology of abstract (i.e., aspatial and atemporal) mathematical objects. Thus, I show that spatio-temporal creatures like ourselves can attain knowledge about mathematical (...) objects by simply explaininghow they can do this. My argument is based upon the adoption of a particular version of platonism — full-blooded platonism — which asserts that any mathematical object which possiblycould exist actuallydoes exist. (shrink)

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)

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)