Platos 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 Platos Forms Mathematics And Astronomy PDF full book. Access full book title Platos Forms Mathematics And Astronomy.

Plato’s forms, mathematics and astronomy

Plato’s forms, mathematics and astronomy
Author: Theokritos Kouremenos
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 158
Release: 2018-05-22
Genre: Literary Criticism
ISBN: 3110601869

Download Plato’s forms, mathematics and astronomy Book in PDF, ePub and Kindle

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
Author: Theokritos Kouremenos
Publisher:
Total Pages: 158
Release: 2018
Genre: HISTORY
ISBN: 9783110601916

Download Plato's Forms, Mathematics and Astronomy Book in PDF, ePub and Kindle

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.


Science and the Sciences in Plato

Science and the Sciences in Plato
Author: John Peter Anton
Publisher: Academic Resources Corp
Total Pages: 154
Release: 1980
Genre: Philosophy
ISBN:

Download Science and the Sciences in Plato Book in PDF, ePub and Kindle


Explorations in Ancient and Modern Philosophy

Explorations in Ancient and Modern Philosophy
Author: M. F. Burnyeat
Publisher: Cambridge University Press
Total Pages: 393
Release: 2012-06-14
Genre: History
ISBN: 0521750725

Download Explorations in Ancient and Modern Philosophy Book in PDF, ePub and Kindle

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


The Unity of Mathematics in Plato's Republic

The Unity of Mathematics in Plato's Republic
Author: Theokritos Kouremenos
Publisher: Franz Steiner Verlag Wiesbaden GmbH
Total Pages: 141
Release: 2015
Genre: Mathematics
ISBN: 9783515110761

Download The Unity of Mathematics in Plato's Republic Book in PDF, ePub and Kindle

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.


Aristotle on Mathematical Infinity

Aristotle on Mathematical Infinity
Author: Theokritos Kouremenos
Publisher: Franz Steiner Verlag
Total Pages: 142
Release: 1995
Genre: History
ISBN: 9783515068512

Download Aristotle on Mathematical Infinity Book in PDF, ePub and Kindle

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.


Plato's Cosmology and its Ethical Dimensions

Plato's Cosmology and its Ethical Dimensions
Author: Gabriela Roxana Carone
Publisher: Cambridge University Press
Total Pages: 338
Release: 2005-10-31
Genre: Philosophy
ISBN: 1107320739

Download Plato's Cosmology and its Ethical Dimensions Book in PDF, ePub and Kindle

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.


Plato's Philosophy of Mathematics

Plato's Philosophy of Mathematics
Author: Anders Wedberg
Publisher: Praeger
Total Pages: 168
Release: 1977
Genre: Mathematics
ISBN:

Download Plato's Philosophy of Mathematics Book in PDF, ePub and Kindle


Plato: A Very Short Introduction

Plato: A Very Short Introduction
Author: Julia Annas
Publisher: OUP Oxford
Total Pages: 128
Release: 2003-02-13
Genre: Philosophy
ISBN: 019157922X

Download Plato: A Very Short Introduction Book in PDF, ePub and Kindle

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.