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Author : Andreas Graeser
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematics and Metaphysics in Aristotle written by Andreas Graeser and published by . This book was released on 1987 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John J. Cleary
Publisher : BRILL
ISBN 13 : 9004320903
Total Pages : 597 pages
Book Rating : 4.0/5 (43 download)
Download or read book Aristotle and Mathematics written by John J. Cleary and published by BRILL. This book was released on 2016-06-21 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Cleary here explores the role which the mathematical sciences play in Aristotle's philosophical thought, especially in his cosmology, metaphysics, and epistemology. He also thematizes the aporetic method by means of which he deals with philosophical questions about the foundations of mathematics. The first two chapters consider Plato's mathematical cosmology in the light of Aristotle's critical distinction between physics and mathematics. Subsequent chapters examine three basic aporiae about mathematical objects which Aristotle himself develops in his science of first philosophy. What emerges from this dialectical inquiry is a different conception of substance and of order in the universe, which gives priority to physics over mathematics as the cosmological science. Within this different world-view, we can better understand what we now call Aristotle's philosophy of mathematics.
Author : Thomas Heath
Publisher : St. Augustine's Press
ISBN 13 : 9781855065642
Total Pages : 0 pages
Book Rating : 4.0/5 (656 download)
Download or read book Mathematics in Aristotle written by Thomas Heath and published by St. Augustine's Press. This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a detailed exposition of Aristotelian mathematics and mathematical terminology. It contains clear translations of all the most important passages on mathematics in the writings of Aristotle, together with explanatory notes and commentary by Heath. Particularly interesting are the discussions of hypothesis and related terms, of Zeno's paradox, and of the relation of mathematics to other sciences. The book includes a comprehensive index of the passages translated.
Author : Aristotle
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.3/5 (815 download)
Download or read book The Metaphysics of Aristotle written by Aristotle and published by . This book was released on 1801 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Heath
Publisher : Routledge
ISBN 13 : 1317380592
Total Pages : 374 pages
Book Rating : 4.3/5 (173 download)
Download or read book Mathematics in Aristotle written by Thomas Heath and published by Routledge. This book was released on 2015-08-14 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1949. This meticulously researched book presents a comprehensive outline and discussion of Aristotle’s mathematics with the author's translations of the greek. To Aristotle, mathematics was one of the three theoretical sciences, the others being theology and the philosophy of nature (physics). Arranged thematically, this book considers his thinking in relation to the other sciences and looks into such specifics as squaring of the circle, syllogism, parallels, incommensurability of the diagonal, angles, universal proof, gnomons, infinity, agelessness of the universe, surface of water, meteorology, metaphysics and mechanics such as levers, rudders, wedges, wheels and inertia. The last few short chapters address ‘problems’ that Aristotle posed but couldn’t answer, related ethics issues and a summary of some short treatises that only briefly touch on mathematics.
Author : Aristotle
Publisher : Courier Dover Publications
ISBN 13 : 0486817490
Total Pages : 353 pages
Book Rating : 4.4/5 (868 download)
Download or read book The Metaphysics written by Aristotle and published by Courier Dover Publications. This book was released on 2018-01-16 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ancient Greek thinker refutes skepticism, demonstrates God's existence, compares metaphysics to the other sciences, elucidates the nature of the infinite, and explores other major philosophical issues.
Author : Aristotle
Publisher : Nuvision Publications
ISBN 13 : 1595479791
Total Pages : 224 pages
Book Rating : 4.5/5 (954 download)
Download or read book Metaphysics - Aristotle written by Aristotle and published by Nuvision Publications. This book was released on 2005-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metaphysics is Aristotle's version of philosophy examining the nature of reality, including the relationship between mind and matter, substance and attribute, fact and value. Aristotle argues that there are a handful of universal truths. Aristotle's works have influenced science, religion, and philosophy for nearly two thousand years. He could be thought of as the father of logical thought. Aristotle wrote: "There is nothing in the intellect that was not first in the senses." He wrote that everything that is learned in life is learned through sensory perception. Aristotle was the first to establish the founding principle of logic. The great writer Dante called Aristotle "The Master of those who know."
Author : J. Franklin
Publisher : Springer
ISBN 13 : 1137400730
Total Pages : 308 pages
Book Rating : 4.1/5 (374 download)
Download or read book An Aristotelian Realist Philosophy of Mathematics written by J. Franklin and published by Springer. This book was released on 2014-04-09 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.
Author : Aristotle
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.:/5 (31 download)
Download or read book Aristotle's Metaphysics written by Aristotle and published by Oxford University Press, USA. This book was released on 1976 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Joe Sachs has followed up his brilliant translation of Aristotle's Physics with a new translation of Metaphysics. Sachs's translations bring distinguished new light onto Aristotle's works, which are foundational to history of science. Sachs translates Aristotle with an authenticity that was lost when Aristotle was translated into Latin and abstract Latin words came to stand for concepts Aristotle expressed with phrases in everyday Greek language. When the works began being translated into English, those abstract Latin words or their cognates were used, thus suggesting a level of jargon and abstraction, and in some cases misleading interpretation, which was not Aristotle's language or style. These important new translations open up Aristotle's original thought to readers.
Author : Monte Ransome Johnson
Publisher : Clarendon Press
ISBN 13 : 0191536504
Total Pages : 352 pages
Book Rating : 4.1/5 (915 download)
Download or read book Aristotle on Teleology written by Monte Ransome Johnson and published by Clarendon Press. This book was released on 2005-11-03 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Johnson examines one of the most controversial aspects of Aristiotle's natural philosophy: his teleology. Is teleology about causation or explanation? Does it exclude or obviate mechanism, determinism, or materialism? Is it focused on the good of individual organisms, or is god or man the ultimate end of all processes and entities? Is teleology restricted to living things, or does it apply to the cosmos as a whole? Does it identify objectively existent causes in the world, or is it merely a heuristic for our understanding of other causal processes? Johnson argues that Aristotle's aporetic approach drives a middle course between these traditional oppositions, and avoids the dilemma, frequently urged against teleology, between backwards causation and anthropomorphism. Although these issues have been debated with extraordinary depth by Aristotle scholars, and touched upon by many in the wider philosophical and scientific community as well, there has been no comprehensive historical treatment of the issue. Aristotle is commonly considered the inventor of teleology, although the precise term originated in the eighteenth century. But if teleology means the use of ends and goals in natural science, then Aristotle was rather a critical innovator of teleological explanation. Teleological notions were widespread among his predecessors, but Aristotle rejected their conception of extrinsic causes such as mind or god as the primary causes for natural things. Aristotle's radical alternative was to assert nature itself as an internal principle of change and an end, and his teleological explanations focus on the intrinsic ends of natural substances - those ends that benefit the natural thing itself. Aristotle's use of ends was subsequently conflated with incompatible 'teleological' notions, including proofs for the existence of a providential or designer god, vitalism and animism, opposition to mechanism and non-teleological causation, and anthropocentrism. Johnson addresses these misconceptions through an elaboration of Aristotle's methodological statements, as well as an examination of the explanations actually offered in the scientific works.
Author : Syrianus
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.F/5 ( download)
Download or read book On Aristotle's "Metaphysics 13-14" written by Syrianus and published by . This book was released on 2006 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Syrianus, originally from Alexandria, moved to Athens and became the head of the Academy there after the death of Plutarch of Athens. Syrianus attacked Aristotle in his commentary on Books 13 and 14 of the "Metaphysics", just as his pupil Proclus was to do later in his commentaries on Plato. This is because in "Metaphysics 13-14", Aristotle himself was being thoroughly polemical towards Platonism, in particular against the Academic doctrine of Form-numbers and the whole concept of separable number. In reply, Syrianus gives an account of mathematical number and of geometrical entities, and of how all of these are processed in the mind, which was to influence Proclus and all subsequent Neoplatonists.
Author : Sir Thomas Little Heath
Publisher :
ISBN 13 :
Total Pages : 291 pages
Book Rating : 4.:/5 (892 download)
Download or read book Mathematics in Aristotle written by Sir Thomas Little Heath and published by . This book was released on 1980 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aristotle
Publisher : Read Books Ltd
ISBN 13 : 1447486234
Total Pages : 416 pages
Book Rating : 4.4/5 (474 download)
Download or read book Aristotle's Metaphysics written by Aristotle and published by Read Books Ltd. This book was released on 2012-12-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metaphysics is one of the principle works of Aristotle and the first major work of the branch of philosophy with the same name. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. Pomona Press are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Author : Edward William Strong
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.F/5 ( download)
Download or read book Procedures and Metaphysics written by Edward William Strong and published by . This book was released on 1936 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aristotle
Publisher : Penguin UK
ISBN 13 : 0141912014
Total Pages : 528 pages
Book Rating : 4.1/5 (419 download)
Download or read book The Metaphysics written by Aristotle and published by Penguin UK. This book was released on 2004-05-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Metaphysics presents Aristotle's mature rejection of both the Platonic theory that what we perceive is just a pale reflection of reality and the hardheaded view that all processes are ultimately material. He argued instead that the reality or substance of things lies in their concrete forms, and in so doing he probed some of the deepest questions of philosophy: What is existence? How is change possible? And are there certain things that must exist for anything else to exist at all? The seminal notions discussed in The Metaphysics - of 'substance' and associated concepts of matter and form, essence and accident, potentiality and actuality - have had a profound and enduring influence, and laid the foundations for one of the central branches of Western philosophy.
Author : Stewart Shapiro
Publisher : Oxford University Press
ISBN 13 : 0192537490
Total Pages : 320 pages
Book Rating : 4.1/5 (925 download)
Download or read book The History of Continua written by Stewart Shapiro and published by Oxford University Press. This book was released on 2020-12-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and philosophical thought about continuity has changed considerably over the ages. Aristotle insisted that continuous substances are not composed of points, and that they can only be divided into parts potentially. There is something viscous about the continuous. It is a unified whole. This is in stark contrast with the prevailing contemporary account, which takes a continuum to be composed of an uncountably infinite set of points. This vlume presents a collective study of key ideas and debates within this history. The opening chapters focus on the ancient world, covering the pre-Socratics, Plato, Aristotle, and Alexander. The treatment of the medieval period focuses on a (relatively) recently discovered manuscript, by Bradwardine, and its relation to medieval views before, during, and after Bradwardine's time. In the so-called early modern period, mathematicians developed the calculus and, with that, the rise of infinitesimal techniques, thus transforming the notion of continuity. The main figures treated here include Galileo, Cavalieri, Leibniz, and Kant. In the early party of the nineteenth century, Bolzano was one of the first important mathematicians and philosophers to insist that continua are composed of points, and he made a heroic attempt to come to grips with the underlying issues concerning the infinite. The two figures most responsible for the contemporary orthodoxy regarding continuity are Cantor and Dedekind. Each is treated in an article, investigating their precursors and influences in both mathematics and philosophy. A new chapter then provides a lucid analysis of the work of the mathematician Paul Du Bois-Reymond, to argue for a constructive account of continuity, in opposition to the dominant Dedekind-Cantor account. This leads to consideration of the contributions of Weyl, Brouwer, and Peirce, who once dubbed the notion of continuity "the master-key which . . . unlocks the arcana of philosophy". And we see that later in the twentieth century Whitehead presented a point-free, or gunky, account of continuity, showing how to recover points as a kind of "extensive abstraction". The final four chapters each focus on a more or less contemporary take on continuity that is outside the Dedekind-Cantor hegemony: a predicative approach, accounts that do not take continua to be composed of points, constructive approaches, and non-Archimedean accounts that make essential use of infinitesimals.
Author : Christian Pfeiffer
Publisher : Oxford University Press
ISBN 13 : 0191085308
Total Pages : 240 pages
Book Rating : 4.1/5 (91 download)
Download or read book Aristotle's Theory of Bodies written by Christian Pfeiffer and published by Oxford University Press. This book was released on 2018-07-12 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Christian Pfeiffer explores an important, but neglected topic in Aristotle's theoretical philosophy: the theory of bodies. A body is a three-dimensionally extended and continuous magnitude bounded by surfaces. This notion is distinct from the notion of a perceptible or physical substance. Substances have bodies, that is to say, they are extended, their parts are continuous with each other and they have boundaries, which demarcate them from their surroundings. Pfeiffer argues that body, thus understood, has a pivotal role in Aristotle's natural philosophy. A theory of body is a presupposed in, e.g., Aristotle's account of the infinite, place, or action and passion, because their being bodies explains why things have a location or how they can act upon each other. The notion of body can be ranked among the central concepts for natural science which are discussed in Physics III-IV. The book is the first comprehensive and rigorous account of the features substances have in virtue of being bodies. It provides an analysis of the concept of three-dimensional magnitude and related notions like boundary, extension, contact, continuity, often comparing it to modern conceptions of it. Both the structural features and the ontological status of body is discussed. This makes it significant for scholars working on contemporary metaphysics and mereology because the concept of a material object is intimately tied to its spatial or topological properties.
