Plato’s forms, mathematics and astronomy PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Plato’s forms, mathematics and astronomy PDF full book. Access full book title Plato’s forms, mathematics and astronomy by Theokritos Kouremenos. Download full books in PDF and EPUB format.
Author: Theokritos Kouremenos
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110601869
Category : Literary Criticism
Languages : en
Pages : 158
Get Book
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.
Author: Theokritos Kouremenos
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110601869
Category : Literary Criticism
Languages : en
Pages : 158
Get Book
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.
Author: Theokritos Kouremenos
Publisher:
ISBN: 9783110601916
Category : HISTORY
Languages : en
Pages : 158
Get Book
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.
Author: John Peter Anton
Publisher: Eidos
ISBN:
Category : Astronomy
Languages : en
Pages : 154
Get Book
Book Description
Author: M. F. Burnyeat
Publisher: Cambridge University Press
ISBN: 0521750725
Category : History
Languages : en
Pages : 393
Get Book
Book Description
The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.
Author: D. H. Fowler
Publisher: Oxford University Press, USA
ISBN:
Category : History
Languages : en
Pages : 442
Get Book
Book Description
This book presents a reinterpretation of early Greek mathematics, one of the most tantalizing intellectual subjects of the last 2,000 years. The first part offers several new interpretations of the idea of ratio in early Greek mathematics and illustrates them in detailed discussion of several texts. Part Two discusses the historical context of the subject--what we know of Plato's academy during his lifetime, the origin of our text of Euclid's Elements, and what we know of early Greek numerical practice. The book finishes with an account of the theory of continued fractions and its history since the 17th century.
Author: Gabriela Roxana Carone
Publisher: Cambridge University Press
ISBN: 1107320739
Category : Philosophy
Languages : en
Pages : 338
Get Book
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.
Author: Theon (of Smyrna.)
Publisher:
ISBN:
Category : Astronomy, Greek
Languages : en
Pages : 200
Get Book
Book Description
Author: Theokritos Kouremenos
Publisher: Franz Steiner Verlag
ISBN: 9783515068512
Category : History
Languages : en
Pages : 142
Get Book
Book Description
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: Julia Annas
Publisher: OUP Oxford
ISBN: 019157922X
Category : Philosophy
Languages : en
Pages : 128
Get Book
Book Description
This lively and accessible introduction to Plato focuses on the philosophy and argument of his writings, drawing the reader into Plato's way of doing philosophy, and the general themes of his thinking. This is not a book to leave the reader standing in the outer court of introduction and background information, but leads directly into Plato's argument. It looks at Plato as a thinker grappling with philosophical problems in a variety of ways, rather than a philosopher with a fully worked-out system. It includes a brief account of Plato's life and the various interpretations that have been drawn from the sparse remains of information. It stresses the importance of the founding of the Academy and the conception of philosophy as a subject. Julia Annas discusses Plato's style of writing: his use of the dialogue form, his use of what we today call fiction, and his philosophical transformation of myths. She also looks at his discussions of love and philosophy, his attitude to women, and to homosexual love, explores Plato's claim that virtue is sufficient for happiness, and touches on his arguments for the immortality of the soul and his ideas about the nature of the universe. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Author: Zacharoula Petraki
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111178218
Category : Art
Languages : en
Pages : 366
Get Book
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.
