Platos Forms Mathematics And Astronomy

Author : Theokritos Kouremenos
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110601486
Total Pages : 158 pages
Book Rating : 4.80/5 ( download)

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Download or read book Plato’s forms, mathematics and astronomy written by Theokritos Kouremenos and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-05-22 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Theokritos Kouremenos
Publisher :
ISBN 13 : 9783110601916
Total Pages : 158 pages
Book Rating : 4.15/5 ( download)

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Download or read book Plato's Forms, Mathematics and Astronomy written by Theokritos Kouremenos and published by . This book was released on 2018 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Theokritos Kouremenos
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110601869
Total Pages : 158 pages
Book Rating : 4.62/5 ( download)

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Download or read book Plato’s forms, mathematics and astronomy written by Theokritos Kouremenos and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-05-22 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : M. F. Burnyeat
Publisher : Cambridge University Press
ISBN 13 : 0521750725
Total Pages : 393 pages
Book Rating : 4.21/5 ( download)

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Download or read book Explorations in Ancient and Modern Philosophy written by M. F. Burnyeat and published by Cambridge University Press. This book was released on 2012-06-14 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.

Author : John Peter Anton
Publisher : Academic Resources Corp
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.03/5 ( download)

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Download or read book Science and the Sciences in Plato written by John Peter Anton and published by Academic Resources Corp. This book was released on 1980 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Theon (of Smyrna.)
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.93/5 ( download)

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Download or read book Mathematics Useful for Understanding Plato written by Theon (of Smyrna.) and published by . This book was released on 1979 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Theokritos Kouremenos
Publisher : Franz Steiner Verlag
ISBN 13 : 9783515068512
Total Pages : 142 pages
Book Rating : 4.11/5 ( download)

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Download or read book Aristotle on Mathematical Infinity written by Theokritos Kouremenos and published by Franz Steiner Verlag. This book was released on 1995 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle was the first not only to distinguish between potential and actual infinity but also to insist that potential infinity alone is enough for mathematics thus initiating an issue still central to the philosophy of mathematics. Modern scholarship, however, has attacked Aristotle's thesis because, according to the received doctrine, it does not square with Euclidean geometry and it also seems to contravene Aristotle's belief in the finitude of the physical universe. This monograph, the first thorough study of the issue, puts Aristotle's views on infinity in the proper perspective. Through a close study of the relevant Aristotelian passages it shows that the Stagirite's theory of infinity forms a well argued philosophical position which does not bear on his belief in a finite cosmos and does not undermine the Euclidean nature of geometry. The monograph draws a much more positive picture of Aristotle's views and reaffirms his disputed stature as a serious philosopher of mathematics. This innovative and stimulating contribution will be essential reading to a wide range of scholars, including classicists, philosophers of science and mathematics as well as historians of ideas.

Author : Gabriela Roxana Carone
Publisher : Cambridge University Press
ISBN 13 : 1107320739
Total Pages : 338 pages
Book Rating : 4.34/5 ( download)

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Download or read book Plato's Cosmology and its Ethical Dimensions written by Gabriela Roxana Carone and published by Cambridge University Press. This book was released on 2005-10-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Zacharoula Petraki
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111178218
Total Pages : 366 pages
Book Rating : 4.19/5 ( download)

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Download or read book Sculpture, weaving, and the body in Plato written by Zacharoula Petraki and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-08-21 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Theokritos Kouremenos
Publisher : Franz Steiner Verlag Wiesbaden GmbH
ISBN 13 : 9783515110761
Total Pages : 141 pages
Book Rating : 4.63/5 ( download)

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Download or read book The Unity of Mathematics in Plato's Republic written by Theokritos Kouremenos and published by Franz Steiner Verlag Wiesbaden GmbH. This book was released on 2015 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his Republic Plato considers grasping the unity of mathematics as the ultimate goal of the mathematical studies in which the future philosopher-rulers must engage before they turn to philosophy. How the unity of mathematics is supposed to be understood is not explained, however. This book argues that Plato conceives of the unity of mathematics in terms of the mutually benefiting links between its branches, just as he conceives of the unity of the state outlined in the Republic in terms of the common benefit for all citizens. Evidence for this view is provided by a discussion of his conception of astronomy as a propedeutic to philosophy, which can be best understood as hinting at a historically possible link between fourth-century-BC astronomy and solid geometry. The monograph also includes a detailed discussion of two well-known stories about Plato: not only he motivated Greek mathematicians to solve a difficult problem in solid geometry with his interpretation of a Delphic oracle given to the inhabitants of the island of Delos but he also posed the question which led to the development of the astronomical theory of homocentric spheres. It is argued that these stories are best understood as fictional episodes in Plato's life, constructed from passages in his works.