Platos Forms Mathematics And Astronomy
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| Author | : Theokritos Kouremenos |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 152 |
| Release | : 2018-05-22 |
| Genre | : Literary Criticism |
| ISBN | : 3110601486 |
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 | : |
| Total Pages | : 158 |
| Release | : 2018 |
| Genre | : HISTORY |
| ISBN | : 9783110601916 |
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 |
| Total Pages | : 393 |
| Release | : 2012-06-14 |
| Genre | : History |
| ISBN | : 0521750725 |
The first of two volumes collecting the published work of one of the greatest living ancient philosophers, M.F. Burnyeat.
| Author | : Gabriela Roxana Carone |
| Publisher | : Cambridge University Press |
| Total Pages | : 338 |
| Release | : 2005-10-31 |
| Genre | : Philosophy |
| ISBN | : 1107320739 |
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 | : Julia Annas |
| Publisher | : OUP Oxford |
| Total Pages | : 128 |
| Release | : 2003-02-13 |
| Genre | : Philosophy |
| ISBN | : 019157922X |
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 | : G E R Lloyd |
| Publisher | : Random House |
| Total Pages | : 149 |
| Release | : 2012-09-30 |
| Genre | : Science |
| ISBN | : 1448156718 |
In this new series leading classical scholars interpret afresh the ancient world for the modern reader. They stress those questions and institutions that most concern us today: the interplay between economic factors and politics, the struggle to find a balance between the state and the individual, the role of the intellectual. Most of the books in this series centre on the great focal periods, those of great literature and art: the world of Herodotus and the tragedians, Plato and Aristotle, Cicero and Caesar, Virgil, Horace and Tacitus. This study traces Greek science through the work of the Pythagoreans, the Presocratic natural philosophers, the Hippocratic writers, Plato, the fourth-century B.C. astronomers and Aristotle. G. E. R. Lloyd also investigates the relationships between science and philosophy and science and medicine; he discusses the social and economic setting of Greek science; he analyses the motives and incentives of the different groups of writers.
| Author | : Jacqueline Feke |
| Publisher | : Princeton University Press |
| Total Pages | : 250 |
| Release | : 2020-10-13 |
| Genre | : Mathematics |
| ISBN | : 069121039X |
A stimulating intellectual history of Ptolemy's philosophy and his conception of a world in which mathematics reigns supreme The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology. In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda scattered among Ptolemy’s technical studies in the physical and mathematical sciences. She shows how he developed a philosophy that was radical and even subversive, appropriating ideas and turning them against the very philosophers from whom he drew influence. Feke reveals how Ptolemy’s unique system is at once a critique of prevailing philosophical trends and a conception of the world in which mathematics reigns supreme. A compelling work of scholarship, Ptolemy’s Philosophy demonstrates how Ptolemy situated mathematics at the very foundation of all philosophy—theoretical and practical—and advanced the mathematical way of life as the true path to human perfection.
| Author | : Anna Marmodoro |
| Publisher | : Oxford University Press |
| Total Pages | : 233 |
| Release | : 2021-09-28 |
| Genre | : Philosophy |
| ISBN | : 0197577172 |
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. The book introduces a fresh perspective on these two thinkers' ideas, displaying the debt of Plato's theory on Anaxagoras's, and principally arguing that their core metaphysical concept is overlap; overlap between properties and things in the world. Initially Plato endorses Anaxagoras's model of constitutional overlap, and subsequently develops qualitative overlap. Overlap is the crux to our understanding of objects participating in Forms in Plato's metaphysics; of Plato's account of relata without relations; of the role of Forms as causes; of the metaphysics of necessity; and of the role of the Great Kinds and of the paradeigma in the development of Plato's thought. Anna Marmodoro argues that Plato is ground-breaking in the history of metaphysics, in different ways from those acknowledged so far, and with respect to more metaphysical questions than had been hitherto appreciated; e.g. Plato's treatment of structure as property; of complexity; and his introduction of the first ever account of metaphysical emergence. In addition to these results, Marmodoro makes Anaxagoras's and Plato's systems philosophically accessible to us, today's philosophers, by applying conceptual tools from analytic metaphysics to the study of ancient metaphysics. In this way, the book brings Anaxagoras's and Plato's ideas to bear on todays' philosophical discussions and opens up new venues of research for current philosophical discussions.
| Author | : Andrea Nightingale |
| Publisher | : Cambridge University Press |
| Total Pages | : 309 |
| Release | : 2021-05-06 |
| Genre | : Philosophy |
| ISBN | : 1108945031 |
In ancient Greece, philosophers developed new and dazzling ideas about divinity, drawing on the deep well of poetry, myth, and religious practices even as they set out to construct new theological ideas. Andrea Nightingale argues that Plato shared in this culture and appropriates specific Greek religious discourses and practices to present his metaphysical philosophy. In particular, he uses the Greek conception of divine epiphany - a god appearing to humans - to claim that the Forms manifest their divinity epiphanically to the philosopher, with the result that the human soul becomes divine by contemplating these Forms and the cosmos. Nightingale also offers a detailed discussion of the Eleusinian Mysteries and the Orphic Mysteries and shows how these mystery religions influenced Plato's thinking. This book offers a robust challenge to the idea that Plato is a secular thinker.
| Author | : Plato |
| Publisher | : 1st World Publishing |
| Total Pages | : 218 |
| Release | : 1929 |
| Genre | : |
| ISBN | : 1421892944 |
