Lehrbuch Der Sph Rischen Trigonometrie Nebst Vielen Beispielen Ber Deren Anwendung Mit 42 In Den Text Gedruckten Figuren
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Plato S Forms Mathematics And Astronomy
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Author : Theokritos Kouremenos
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-05-22
Plato S Forms Mathematics And Astronomy written by Theokritos Kouremenos and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-22 with Literary Criticism categories.
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.
Greek Mathematical Thought And The Origin Of Algebra
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Author : Jacob Klein
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Greek Mathematical Thought And The Origin Of Algebra written by Jacob Klein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Plato S Euthyphro And The Earlier Theory Of Forms
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Author : Reginald E. Allen
language : en
Publisher: Routledge
Release Date : 2012-09-03
Plato S Euthyphro And The Earlier Theory Of Forms written by Reginald E. Allen and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-03 with Philosophy categories.
Plato’s Euthyphrois important because it gives an excellent example of Socratic dialogue in operation and of the connection of that dialectic with Plato’s earlier theory of Forms. Professor Allen’s edition of the dialogue provides a translation with interspersed commentary, aimed both at helping the reader who does not have Greek and also elucidating the discussion of the earlier Theory of Forms which follows. The author argues that there is a theory of Forms in the Euthyphroand in other early Platonic dialogues and that this theory is the foundation of Socratic dialogue. However, he maintains that the theory in the early dialogues is a realist theory of universals and this theory is not to be identified with the theory of Forms found in the Phaedo, Republic, and other middle dialogues, since it differs on the issues of ontological status.
The Pseudo Platonic Seventh Letter
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Author : Myles Burnyeat
language : en
Publisher: Oxford University Press, USA
Release Date : 2015
The Pseudo Platonic Seventh Letter written by Myles Burnyeat and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Philosophy categories.
Examines the authenticity of the Platonic Seventh Letter, showing how its philosophical content conflicts with what we find in the Platonic dialogues.
The Unity Of Mathematics In Plato S Republic
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Author : Theokritos Kouremenos
language : en
Publisher: Franz Steiner Verlag Wiesbaden GmbH
Release Date : 2015
The Unity Of Mathematics In Plato S Republic written by Theokritos Kouremenos and has been published by Franz Steiner Verlag Wiesbaden GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.
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.
The Mathematics Of Plato S Academy
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Author : D. H. Fowler
language : en
Publisher: Oxford University Press, USA
Release Date : 1987
The Mathematics Of Plato S Academy written by D. H. Fowler and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with History categories.
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.
Platon S Werke
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Author : Plato
language : de
Publisher:
Release Date : 1875
Platon S Werke written by Plato and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1875 with categories.
Mathesis Juvenilis Or A Course Of Mathematicks For Young Students Made English From The Latin Of Jo Christopher Sturmius By George Vaux M D In Three Volumes
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Author : Johann Christophorus Sturm
language : en
Publisher:
Release Date : 1708
Mathesis Juvenilis Or A Course Of Mathematicks For Young Students Made English From The Latin Of Jo Christopher Sturmius By George Vaux M D In Three Volumes written by Johann Christophorus Sturm and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1708 with Architecture categories.
The Sense Of The Past
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Author : Bernard Williams
language : en
Publisher: Princeton University Press
Release Date : 2009-02-09
The Sense Of The Past written by Bernard Williams and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-09 with Philosophy categories.
Before his death in 2003, Bernard Williams planned to publish a collection of historical essays, focusing primarily on the ancient world. This posthumous volume brings together a much wider selection, written over some forty years. His legacy lives on in this masterful work, the first collection ever published of Williams's essays on the history of philosophy. The subjects range from the sixth century B.C. to the twentieth A.D., from Homer to Wittgenstein by way of Socrates, Plato, Aristotle, Descartes, Hume, Sidgwick, Collingwood, and Nietzsche. Often one would be hard put to say which part is history, which philosophy. Both are involved throughout, because this is the history of philosophy written philosophically. Historical exposition goes hand in hand with philosophical scrutiny. Insights into the past counteract blind acceptance of present assumptions. In his touching and illuminating introduction, Myles Burnyeat writes of these essays: "They show a depth of commitment to the history of philosophy seldom to be found nowadays in a thinker so prominent on the contemporary philosophical scene." The result celebrates the interest and importance to philosophy today of its near and distant past. The Sense of the Past is one of three collections of essays by Bernard Williams published by Princeton University Press since his death. In the Beginning Was the Deed: Realism and Moralism in Political Argument, selected, edited, and with an introduction by Geoffrey Hawthorn, and Philosophy as a Humanistic Discipline, selected, edited, and with an introduction by A. W. Moore, make up the trio.