Plato’s forms, mathematics and astronomy

Plato’s forms, mathematics and astronomy PDF Author: Theokritos Kouremenos
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110601486
Category : Literary Criticism
Languages : en
Pages : 152

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Book Description
Plato’s view that mathematics paves the way for his philosophy of forms is well known. This book attempts to flesh out the relationship between mathematics and philosophy as Plato conceived them by proposing that in his view, although it is philosophy that came up with the concept of beings, which he calls forms, and highlighted their importance, first to natural philosophy and then to ethics, the things that do qualify as beings are inchoately revealed by mathematics as the raw materials that must be further processed by philosophy (mathematicians, to use Plato’s simile in the Euthedemus, do not invent the theorems they prove but discover beings and, like hunters who must hand over what they catch to chefs if it is going to turn into something useful, they must hand over their discoveries to philosophers). Even those forms that do not bear names of mathematical objects, such as the famous forms of beauty and goodness, are in fact forms of mathematical objects. The first chapter is an attempt to defend this thesis. The second argues that for Plato philosophy’s crucial task of investigating the exfoliation of the forms into the sensible world, including the sphere of human private and public life, is already foreshadowed in one of its branches, astronomy.

Plato's Forms, Mathematics and Astronomy

Plato's Forms, Mathematics and Astronomy PDF Author: Theokritos Kouremenos
Publisher:
ISBN: 9783110601916
Category : HISTORY
Languages : en
Pages : 158

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Book Description
Plato's view that mathematics paves the way for his philosophy of forms is well known. This book attempts to flesh out the relationship between mathematics and philosophy as Plato conceived them by proposing that in his view, although it is philosophy that came up with the concept of beings, which he calls forms, and highlighted their importance, first to natural philosophy and then to ethics, the things that do qualify as beings are inchoately revealed by mathematics as the raw materials that must be further processed by philosophy (mathematicians, to use Plato's simile in the Euthedemus, do not invent the theorems they prove but discover beings and, like hunters who must hand over what they catch to chefs if it is going to turn into something useful, they must hand over their discoveries to philosophers). Even those forms that do not bear names of mathematical objects, such as the famous forms of beauty and goodness, are in fact forms of mathematical objects. The first chapter is an attempt to defend this thesis. The second argues that for Plato philosophy's crucial task of investigating the exfoliation of the forms into the sensible world, including the sphere of human private and public life, is already foreshadowed in one of its branches, astronomy.

Explorations in Ancient and Modern Philosophy

Explorations in Ancient and Modern Philosophy PDF Author: M. F. Burnyeat
Publisher: Cambridge University Press
ISBN: 0521750725
Category : History
Languages : en
Pages : 393

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Book Description
The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.

Forms and Structure in Plato's Metaphysics

Forms and Structure in Plato's Metaphysics PDF Author: Anna Marmodoro
Publisher: Oxford University Press
ISBN: 0197577156
Category : Philosophy
Languages : en
Pages : 233

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Book Description
This book investigates the thought of two of the most influential philosophers of antiquity, Plato and his predecessor Anaxagoras, with respect to their metaphysical accounts of objects and their properties. Marmodoro introduces a fresh perspective on these two thinkers' ideas, showing Plato's theory to be indebted to Anaxagoras's, and principally arguing that their core metaphysical concept is overlap: overlap between properties and objects in the world. She contends that Plato initially endorses Anaxagoras's model of constitutional overlap, but subsequently develops his own model of qualitative overlap. Overlap is the crux of our understanding of how for Plato objects participate in Forms, of how objects are related without relations, of the role of Forms as causes, and more. Marmodoro's interpretation shows Plato to be ground-breaking in his understanding of structure as a property, in his explanation of composition, and in his account of metaphysical emergence. Book jacket.

Plato's Cosmology and its Ethical Dimensions

Plato's Cosmology and its Ethical Dimensions PDF Author: Gabriela Roxana Carone
Publisher: Cambridge University Press
ISBN: 1107320739
Category : Philosophy
Languages : en
Pages : 338

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Book Description
Although a great deal has been written on Plato's ethics, his cosmology has not received so much attention in recent times and its importance for his ethical thought has remained underexplored. By offering accounts of Timaeus, Philebus, Politicus and Laws X, the book reveals a strongly symbiotic relation between the cosmic and human sphere. It is argued that in his late period Plato presents a picture of an organic universe, endowed with structure and intrinsic value, which both urges our respect and calls for our responsible intervention. Humans are thus seen as citizens of a university that can provide a context for their flourishing even in the absence of good political institutions. The book sheds light on many intricate metaphysical issues in late Plato and brings out the close connections between his cosmology and the development of his ethics.

Sculpture, weaving, and the body in Plato

Sculpture, weaving, and the body in Plato PDF Author: Zacharoula Petraki
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111178218
Category : Art
Languages : en
Pages : 366

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Book Description
Plato’s Timaeus is unique in Greek Antiquity for presenting the creation of the world as the work of a divine demiurge. The maker bestows order on sensible things and imitates the world of the intellect by using the Forms as models. While the creation-myth of the Timaeus seems unparalleled, this book argues that it is not the first of Plato’s dialogues to use artistic language to articulate the relationship of the objects of the material world to the world of the intellect. The book adopts an interpretative angle that is sensitive to the visual and art-historical developments of Classical Athens to argue that sculpture, revolutionized by the advent of the lost-wax technique for the production of bronze statues, lies at the heart of Plato’s conception of the relation of the human soul and body to the Forms. It shows that, despite the severe criticism of mimēsis in the Republic, Plato’s use of artistic language rests on a positive model of mimēsis. Plato was in fact engaged in a constructive dialogue with material culture and he found in the technical processes and the cultural semantics of sculpture and of the art of weaving a valuable way to conceptualise and communicate complex ideas about humans’ relation to the Forms.

One over Many

One over Many PDF Author: Necip Fikri Alican
Publisher: State University of New York Press
ISBN: 1438485654
Category : Philosophy
Languages : en
Pages : 535

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Book Description
Finalist for the 2022 PROSE Award in the Philosophy category presented by the Association of American Publishers One over Many is a groundbreaking interpretation of Plato's philosophical outlook, solving longstanding problems in the scholarly literature. Its originality and its strength consist in replacing the metaphysical dualism of the traditional interpretation with the paradigm of unitary pluralism: one world with a gradation of reality, including three different types of Forms, as well as the entire spectrum of sensible phenomena, with intermediate ontological constructs in between. The model thus combines a monism of worlds with a pluralism of things, positing a unitary reality of infinite possibilities through ontological stratification. This tightly integrated collection of essays, conceived and developed by the author in pursuit of corrective intervention in Plato’s metaphysics, combines his previously published work with newly drafted material for the present volume. The book replaces the standard view of Plato as a metaphysical dualist with a novel interpretation providing greater explanatory power through the paradigm of unitary pluralism in a single reality built on ontological diversity.

Plato's Theory of Knowledge (Routledge Revivals)

Plato's Theory of Knowledge (Routledge Revivals) PDF Author: Norman Gulley
Publisher: Routledge
ISBN: 1136200606
Category : Philosophy
Languages : en
Pages : 214

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Book Description
First published in 1962, this book provides a systematic account of the development of Plato’s theory of knowledge. Beginning with a consideration of the Socratic and other influences which determined the form in which the problem of knowledge first presented itself to Plato, the author then works through the dialogues from the Meno to the Laws and examines in detail Plato’s progressive attempts to solve the problem.

Encyclopedia of Cosmology (Routledge Revivals)

Encyclopedia of Cosmology (Routledge Revivals) PDF Author: Norriss S. Hetherington
Publisher: Routledge
ISBN: 131767765X
Category : Science
Languages : en
Pages : 709

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Book Description
The Encyclopedia of Cosmology, first published in 1993, recounts the history, philosophical assumptions, methodological ambiguities, and human struggles that have influenced the various responses to the basic questions of cosmology through the ages, as well as referencing important scientific theories. Just as the recognition of social conventions in other cultures can lead to a more productive perspective on our own behaviour, so too a study of the cosmologies of other times and places can enable us recognise elements of our own cosmology that might otherwise pass as inevitable developments. Apart from modern natural science, therefore, this volume incorporates brief treatments of Native American, Cave-Dweller, Chinese, Egyptian, Islamic, Megalithic, Mesopotamian, Greek, Medieval and Copernican cosmology, leading to an appreciation of cosmology as an intellectual creation, not merely a collection of facts. It is a valuable reference tool for any student or academic with an interest in the history of science and cosmology specifically.

Introducing Plato

Introducing Plato PDF Author: Dave Robinson
Publisher: Icon Books Ltd
ISBN: 1848318847
Category : Philosophy
Languages : en
Pages : 402

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Book Description
"Introducing Plato" begins by explaining how philosophers like Socrates and Pythagoras influenced Plato's thought. It provides a clear account of Plato's puzzling theory of knowledge, and explains how this theory then directed his provocative views on politics, ethics and individual liberty. It offers detailed critical commentaries on all of the key doctrines of Platonism, especially the very odd theory of Forms, and concludes by revealing how Plato's philosophy stimulated the work of important modern thinkers such as Karl Popper, Martha Nussbaum, and Jacques Derrida.