Aristotle S Modal Proofs
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The History Of Mathematical Proof In Ancient Traditions
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Author : Karine Chemla
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-05
The History Of Mathematical Proof In Ancient Traditions written by Karine Chemla and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-05 with Philosophy categories.
This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
Aristotle S Theory Of Predication
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Author : Allan T. Bäck
language : en
Publisher: BRILL
Release Date : 2016-06-21
Aristotle S Theory Of Predication written by Allan T. Bäck and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Philosophy categories.
This book claims that Aristotle followed an aspect theory of predication. On it statements make a basic assertion of existence that can be more or less qualified. It is claimed that the aspect theory solves many puzzles about Aristotle's philosophy and gives a new unity to his logic and metaphysics. The book considers Aristotle's views on predication relative to Greek philology, Aristotle's philosophical milieu, and the history and philosophy of predication theory. It offers new perspectives on such issues as existential import; the relation of Categories 2 & 4; the place of differentiae and propria; the predication of matter; unnatural predication; and the square of opposition. It ends by comparing Aristotle's theory with current ones.
Aristotle S Theory Of The Syllogism
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Author : G. Patzig
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Aristotle S Theory Of The Syllogism written by G. Patzig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.
The present book is the English version of a monograph 'Die aristotelische Syllogistik', which first appeared ten years ago in the series of Abhand 1 lungen edited by the Academy of Sciences in Gottingen. In the preface to the English edition, I would first like to express my indebtedness to Mr. J. Barnes, now fellow of Oriel College, Oxford. He not only translated what must have been a difficult text with exemplary precision and ingenuity, but followed critically every argument and check ed every reference. While translating it, he has improved the book. Of those changes which I have made on Mr. Barnes' suggestion I note only the more important ones on pages 4, 12, 24sq, 32, 39, 6lsq, and 158. Since the second edition of the German text appeared in 1963 some further reviews have been published, or come to my notice, which I have 2 been able to make use of in improving the text of this new edition. I must mention here especially the detailed critical discussions of my results and arguments published by Professor W. Wieland in the Philosophische Rundschau 14 (1966), 1-27 and by Professor E. Scheibe in Gnomon 39 (1967), 454-64. Both scholars, while agreeing with the main drift and method of my interpretation, criticise some of my results and disagree with some of my arguments. It would not be possible to discuss these technical matters here with the necessary thoroughness.
Principles And Proofs
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Author : Richard D. McKirahan Jr.
language : en
Publisher: Princeton University Press
Release Date : 2017-03-14
Principles And Proofs written by Richard D. McKirahan Jr. 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 2017-03-14 with Philosophy categories.
By a thorough study of the Posterior Analytics and related Aristotelian texts, Richard McKirahan reconstructs Aristotle's theory of episteme--science. The Posterior Analytics contains the first extensive treatment of the nature and structure of science in the history of philosophy, and McKirahan's aim is to interpret it sympathetically, following the lead of the text, rather than imposing contemporary frameworks on it. In addition to treating the theory as a whole, the author uses textual and philological as well as philosophical material to interpret many important but difficult individual passages. A number of issues left obscure by the Aristotelian material are settled by reference to Euclid's geometrical practice in the Elements. To justify this use of Euclid, McKirahan makes a comparative analysis of fundamental features of Euclidian geometry with the corresponding elements of Aristotle's theory. Emerging from that discussion is a more precise and more complex picture of the relation between Aristotle's theory and Greek mathematics--a picture of mutual, rather than one-way, dependence. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Aristotle And Logical Theory
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Author : Jonathan Lear
language : en
Publisher: Cambridge University Press
Release Date : 1980-05-08
Aristotle And Logical Theory written by Jonathan Lear and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-05-08 with Philosophy categories.
Aristotle was the first and one of the greatest logicians. He not only devised the first system of formal logic, but also raised many fundamental problems in the philosophy of logic. In this book, Dr Lear shows how Aristotle's discussion of logical consequence, validity and proof can contribute to contemporary debates in the philosophy of logic. No background knowledge of Aristotle is assumed.
Reading Aristotle
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Author : William Wians
language : en
Publisher: BRILL
Release Date : 2017-07-31
Reading Aristotle written by William Wians and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-31 with Philosophy categories.
Reading Aristotle: Argument and Exposition argues that Aristotle’s treatises must be approached as progressive unfoldings of a unified position that may extend over a single book, an entire treatise, or across several works. Contributors demonstrate that Aristotle relies on both explanatory and expository principles. Explanatory principles include familiar doctrines such as the four causes, actuality’s priority over potentiality and nature’s doing nothing in vain. Expository principles are at least as important. They pertain to proper sequence, pedagogical method, the role of reputable views and the opinions of predecessors, the equivocity of key explanatory terms, and the need to scrupulously observe distinctions between the different sciences. A sensitivity to expository principles is crucial to understanding both particular arguments and entire treatises.
Aristotle S Modal Syllogistic
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Author : Marko Malink
language : en
Publisher: Harvard University Press
Release Date : 2013-11-01
Aristotle S Modal Syllogistic written by Marko Malink and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-01 with Philosophy categories.
Aristotle developed a complex system of modal syllogistic which has been disputed since antiquity and is today widely regarded as incoherent. Combining analytic rigor with sensitivity to historical context, Marko Malink argues that the modal syllogistic forms an integrated system of logic, closely related to other areas of Aristotle’s philosophy.
Aristotle S Theory Of Actuality
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Author : Z. Bechler
language : en
Publisher: SUNY Press
Release Date : 1995-01-01
Aristotle S Theory Of Actuality written by Z. Bechler and has been published by SUNY Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Philosophy categories.
This is an attack on Aristotle showing that his misplaced drive toward the consistent application of his actualistic ontology (denying the reality of all potential things) resulted in many of his major theses being essentially vacuous.
Aristotle And Information Theory
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Author : Lawrence William Rosenfield
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-01
Aristotle And Information Theory written by Lawrence William Rosenfield and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-01 with Philosophy categories.
No detailed description available for "Aristotle and Information Theory".
Apprehension And Argument
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Author : Miira Tuominen
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-06
Apprehension And Argument written by Miira Tuominen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-06 with Philosophy categories.
This book offers the first synoptic study of how the primary elements in knowledge structures were analysed in antiquity from Plato to late ancient commentaries. It argues that, in the Platonic-Aristotelian tradition, the question of starting points was treated from two distinct points of view: as a question of how we acquire basic knowledge; and as a question of the premises we may immediately accept in the line of argumentation.