The Art of the Intelligible

The Art of the Intelligible
Author: J. Bell
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2012-12-06
Genre: Science
ISBN: 9401142092

A compact survey, at the elementary level, of some of the most important concepts of mathematics. Attention is paid to their technical features, historical development and broader philosophical significance. Each of the various branches of mathematics is discussed separately, but their interdependence is emphasised throughout. Certain topics - such as Greek mathematics, abstract algebra, set theory, geometry and the philosophy of mathematics - are discussed in detail. Appendices outline from scratch the proofs of two of the most celebrated limitative results of mathematics: the insolubility of the problem of doubling the cube and trisecting an arbitrary angle, and the Gödel incompleteness theorems. Additional appendices contain brief accounts of smooth infinitesimal analysis - a new approach to the use of infinitesimals in the calculus - and of the philosophical thought of the great 20th century mathematician Hermann Weyl. Readership: Students and teachers of mathematics, science and philosophy. The greater part of the book can be read and enjoyed by anyone possessing a good high school mathematics background.

The Intelligibility of Nature

The Intelligibility of Nature
Author: Peter Dear
Publisher: University of Chicago Press
Total Pages: 255
Release: 2008-09-15
Genre: Science
ISBN: 0226139506

Throughout the history of the Western world, science has possessed an extraordinary amount of authority and prestige. And while its pedestal has been jostled by numerous evolutions and revolutions, science has always managed to maintain its stronghold as the knowing enterprise that explains how the natural world works: we treat such legendary scientists as Galileo, Newton, Darwin, and Einstein with admiration and reverence because they offer profound and sustaining insight into the meaning of the universe. In The Intelligibility of Nature, Peter Dear considers how science as such has evolved and how it has marshaled itself to make sense of the world. His intellectual journey begins with a crucial observation: that the enterprise of science is, and has been, directed toward two distinct but frequently conflated ends—doing and knowing. The ancient Greeks developed this distinction of value between craft on the one hand and understanding on the other, and according to Dear, that distinction has survived to shape attitudes toward science ever since. Teasing out this tension between doing and knowing during key episodes in the history of science—mechanical philosophy and Newtonian gravitation, elective affinities and the chemical revolution, enlightened natural history and taxonomy, evolutionary biology, the dynamical theory of electromagnetism, and quantum theory—Dear reveals how the two principles became formalized into a single enterprise, science, that would be carried out by a new kind of person, the scientist. Finely nuanced and elegantly conceived, The Intelligibility of Nature will be essential reading for aficionados and historians of science alike.

The Intelligible World

The Intelligible World
Author: Wilbur Marshall Urban
Publisher: Routledge
Total Pages: 486
Release: 2014-06-03
Genre: Philosophy
ISBN: 1317851994

First published in 2002. This is Volume XIV of seventeen in the Library of Philosophy series on Metaphysics. Written in 1929, this book is on metaphysics and value in the intelligible world, which states that there are only two kinds of philosophies: those that find the world ultimately meaningful and intelligible and those that do not. The present book claims to belong to the first of these, and as such to be apart, however modest, of the Great Tradition in philosophy.

Transfigurements

Transfigurements
Author: John Sallis
Publisher: University of Chicago Press
Total Pages: 206
Release: 2010-02-15
Genre: Philosophy
ISBN: 0226734234

Transfigurements develops a framework for thinking about art through innovative readings of some of the most important philosophical writing on the subject by Kant, Hegel, and Heidegger. Sallis exposes new layers in their texts and theories while also marking their limits. By doing so, his aim is to show that philosophy needs to attend to art directly. Consequently, Sallis also addresses a wide range of works of art, including paintings by Raphael, Monet, and Klee; Shakespeare’s comedies; and the music of Beethoven, Schubert, Mahler, and Tan Dun. Through these interpretations, he puts forth a compelling new elaboration of the philosophy of art.

Summoning Knowledge in Plato's Republic

Summoning Knowledge in Plato's Republic
Author: Nicholas D. Smith
Publisher: Oxford University Press
Total Pages: 224
Release: 2019-07-04
Genre: Philosophy
ISBN: 0192580612

Nicholas D. Smith presents an original interpretation of the Republic, considering it to be a book about knowledge and education. Over the course of Summoning Knowledge in Plato's Republic, he argues for four main theses. Firstly, the Republic is not just a work that has a lot to say about education; it is a book that depicts Socrates as attempting to engage his interlocutors in such a way as to help to educate them and also engages us, the readers, in a way that helps to educate us. Secondly, Plato does not suppose that education, properly understood, should have as its primary aim putting knowledge into souls that do not already have it. Instead, the education Plato discusses, represents occurring between Socrates and his interlocutors, and hopes to achieve in his readers is one that aims to arouse the power of knowledge in us and then to begin to train that power always to engage with what is more real, rather than what is less real. Thirdly, Plato's conception of knowledge is not the one typically presented in contemporary epistemology. It is, rather, the power of conceptualization by the use of exemplars. And finally, Plato engages this power of knowledge in the Republic in a way he represents as only a kind of second-best way to engage knowledge - and not as the best way, which would be dialectic. Instead, Plato uses images that summon the power of knowledge to begin the process by which the power may become fully realized.

Wakefulness and World

Wakefulness and World
Author: Matthew Linck
Publisher: Paul Dry Books
Total Pages: 200
Release: 2019-08-01
Genre: Philosophy
ISBN: 1589881362

“The subject of this slim and lucid volume is the wondrous intelligibility of experience as it comes to light through philosophical attentiveness to the richly articulated whole of the world. Linck models wakefulness as he moves from the tentative hypotheses of Plato’s Socrates, to Aristotle’s elucidation of the determinateness of natural and artificial beings, to Kant’s and Hegel’s astonishing explorations of the ways the world’s intelligibility arises from within the mind itself. A deeply intelligent and subtle book by a master reader and teacher, Wakefulness and World will engage and inform educated amateurs and accomplished scholars alike.”―Jacob Howland, author of The Republic: The Odyssey of Philosophy and Glaucon's Fate “Wakefulness and World is an introduction to philosophy in the way that having a discussion with the finest teachers of philosophy is rumored to have been: Wittgenstein puzzling out utterances; Aristotle on peripatetic garden walks; and Socrates, whose every illustration proved both familiar and unsettling. Like Socrates, Linck speaks directly to beginners as well as practiced scholars about our endeavors to understand, from the images that lure us into reflection, to the confrontation between intelligible generalization and everyday experience. Linck’s book brings us into conversation with Plato’s Socrates, with Aristotle, Kant, Hegel, and with Newton. Through these encounters, he guides the reader to a profound reckoning with the conditions that allow careful, critical inquiry to flourish.”―Katie Terezakis, Professor of Philosophy, Rochester Institute of Technology “An invitation to philosophy in the strongest sense. Through a patient and elegant discussion of some key moments in classic texts from Plato, Aristotle, Kant and Hegel, Linck invites his readers to wake up to the strangeness and miraculousness which is the making intelligible of the world in thought.”―Louis Colombo, Associate Professor of Philosophy, Bethune-Cookman University

Productive Knowledge in Ancient Philosophy

Productive Knowledge in Ancient Philosophy
Author: Thomas Kjeller Johansen
Publisher: Cambridge University Press
Total Pages: 331
Release: 2021-02-04
Genre: Philosophy
ISBN: 1108624154

This work investigates how ancient philosophers understood productive knowledge or technê and used it to explain ethics, rhetoric, politics and cosmology. In eleven chapters leading scholars set out the ancient debates about technê from the Presocratic and Hippocratic writers, through Plato and Aristotle and the Hellenistic age (Stoics, Epicureans and Sceptics), ending in the Neoplatonism of Plotinus and Proclus. Amongst the many themes that come into focus are: the model status of ancient medicine in defining the political art, the similarities between the Platonic and Aristotelian conceptions of technê, the use of technê as a paradigm for virtue and practical rationality, technê ́s determining role in Platonic conceptions of cosmology, technê ́s relationship to experience and theoretical knowledge, virtue as an 'art of living', the adaptability of the criteria of technê to suit different skills, including philosophy itself, the use in productive knowledge of models, deliberation, conjecture and imagination.