Analysis and Science in Aristotle

Analysis and Science in Aristotle PDF

Author: Patrick Hugh Byrne

Publisher: SUNY Press

Published: 1997-01-01

Total Pages: 330

ISBN-13: 9780791433218

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Presents a new interpretation of Aristotle's Analytics (the Prior and Posterior Analytics) as a unified whole, and argues that to "loose up"or solve -- rather than to reduce or break up -- is the principle meaning which best characterizes the Analytics. Offering a new interpretation of Aristotle's Analytics (the Prior and Posterior Analytics) as a unified whole, Patrick H. Byrne argues that a non-deductive form of ancient mathematical analysis influenced Aristotle's thinking. Reading the Analytics with this perspective in mind sheds new light on Aristotle's theories of the syllogism, demonstration, and the principles of science. The book begins with a brief survey of ancient geometrical analysis and an investigation of Aristotle's uses of the Greek term, analuein. Byrne argues that "to loose up" or solve -- rather than to reduce or break up -- is the principal meaning which best characterizes Aristotle's Analytics. Extending this line of reasoning, he argues that for Aristotle scientific analysis commonly begins with knowledge of a "mere fact" (a conclusion) and seeks a rigorous demonstration which expresses knowledge of the "reasoned fact". Moreover, genuine analysis of a fact into a reasoned fact cannot be accomplished unless the premises of demonstrations are themselves reasoned facts. Hence the processes which yield the immediate principles (especially definitions) are next investigated through detailed examinations of key examples which Aristotle provides.

Posterior Analytics

Posterior Analytics PDF

Author: Aristotle

Publisher: DigiCat

Published: 2022-08-10

Total Pages: 139

ISBN-13:

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The Posterior Analytics is a text from Aristotle's Organon that deals with demonstration, definition, and scientific knowledge. The demonstration is distinguished as a syllogism productive of scientific knowledge, while the definition is marked as the statement of a thing's nature, ... a statement of the meaning of the name, or an equivalent nominal formula.

Prior and Posterior Analytics

Prior and Posterior Analytics PDF

Author: Aristotle

Publisher: Readaclassic.com

Published: 2010-09-01

Total Pages: 174

ISBN-13: 9781611042474

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The Posterior Analytics is a text from Aristotle's Organon that deals with demonstration, definition, and scientific knowledge. The demonstration is distinguished as a syllogism productive of scientific knowledge, while the definition marked as the statement of a thing's nature, ... a statement of the meaning of the name, or of an equivalent nominal formula. In the "Prior Analytics," syllogistic logic is considered in its formal aspect; in the Posterior it is considered in respect of its matter. The "form" of a syllogism lies in the necessary connection between the premises and the conclusion. Even where there is no fault in the form, there may be in the matter, i.e. the propositions of which it is composed, which may be true or false, probable or improbable. When the premises are certain, true, and primary, and the conclusion formally follows from them, this is demonstration, and produces scientific knowledge of a thing. Such syllogisms are called apodeictical, and are dealt with in the two books of the Posterior Analytics. When the premises are not certain, such a syllogism is called dialectical, and these are dealt with in the eight books of the Topics. A syllogism which seems to be perfect both in matter and form, but which is not, is called sophistical, and these are dealt with in the book On Sophistical Refutations.

Aristotle: posterior analytics...

Aristotle: posterior analytics... PDF

Author: Paulo C. Biomdi

Publisher: Presses de l'Université Laval

Published: 2017-02-13T00:00:00-05:00

Total Pages: 328

ISBN-13: 276371448X

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Aristotle's “Posterior Analytics”, Book II, Chapter 19, contains one of the most significant texts in the history of philosophy and, in particular, the field of epistemology. Paolo C. Biondi's book offers a new English translation, along with a commentary and critical analysis, of this important text. The originality of the translation is grounded in the exegesis found in the commentary, which also provides an overview of the interpretations of many Aristotelian philosophers from the Greek commentators through to contemporary scholars. The critical analysis is an in-depth essay on Aristotle's thoughts on logic and psychology. Even though the essay's main argument — that human intuition lies at the base of the mind's grasp of the principles of science — reaffirms the traditional position, the conclusion is arrived at by an ingenious step-by-step study of each of the various human faculties of cognition, a study that is much like the process of putting together the pieces of a puzzle.

Aristotle's Theory of Bodies

Aristotle's Theory of Bodies PDF

Author: Christian Pfeiffer

Publisher: Oxford University Press

Published: 2018-07-12

Total Pages: 240

ISBN-13: 0191085308

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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.

Principles and Proofs

Principles and Proofs PDF

Author: Richard D. McKirahan Jr.

Publisher: Princeton University Press

Published: 2017-03-14

Total Pages: 355

ISBN-13: 140088716X

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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 on Knowledge and Learning

Aristotle on Knowledge and Learning PDF

Author: David Bronstein

Publisher: Oxford University Press

Published: 2016

Total Pages: 287

ISBN-13: 019872490X

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David Bronstein sheds new light on Aristotle's 'Posterior Analytics' - one of the most important, and difficult, works in the history of Western philosophy. He argues that it is coherently structured around two themes of enduring philosophical interest - knowledge and learning - and goes on to highlight Plato's influence on Aristotle's text.

Aristotle’s Ever-turning World in Physics 8: Analysis and Commentary

Aristotle’s Ever-turning World in Physics 8: Analysis and Commentary PDF

Author: Dougal Blyth

Publisher: BRILL

Published: 2015-10-05

Total Pages: 434

ISBN-13: 9004302387

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In Aristotle’s Ever-turning World in Physics 8 Dougal Blyth analyses, passage by passage, Aristotle’s reasoning in his explanation of cosmic movement, and provides a detailed evaluation of ancient and modern commentary on this centrally influential text in the history of ancient and medieval philosophy and science. In Physics 8 Aristotle argues for the everlastingness of the world, and explains this as deriving from a single first moved body, the sphere of the stars whose rotation around the earth is caused by an immaterial prime mover. Blyth’s explanation of Aristotle’s individual arguments, techniques of reasoning and overall strategy in Physics 8 aims to bring understanding of his method, doctrines and achievements in natural philosophy to a new level of clarity.

Knowledge and Demonstration

Knowledge and Demonstration PDF

Author: Orna Harari

Publisher: Springer

Published: 2010-12-04

Total Pages: 0

ISBN-13: 9789048167227

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This study explores the theoretical relationship between Aristotle’s theory of syllogism and his conception of demonstrative knowledge. More specifically, I consider why Aristotle’s theory of demonstration presupposes his theory of syllogism. In reconsidering the relationship between Aristotle’s two Analytics, I modify this widely discussed question. The problem of the relationship between Aristotle’s logic and his theory of proof is commonly approached from the standpoint of whether the theory of demonstration presupposes the theory of syllogism. By contrast, I assume the theoretical relationship between these two theories from the start. This assumption is based on much explicit textual evidence indicating that Aristotle considers the theory of demonstration a branch of the theory of syllogism. I see no textual reasons for doubting the theoretical relationship between Aristotle’s two Analytics so I attempt to uncover here the common theoretical assumptions that relate the syllogistic form of reasoning to the cognitive state (i. e. , knowledge), which is attained through syllogistic inferences. This modification of the traditional approach reflects the wider objective of this essay. Unlike the traditional interpretation, which views the Posterior Analytics in light of scientific practice, this study aims to lay the foundation for a comprehensive interpretation of the Posterior Analytics, considering this work from a metaphysical perspective. One of my major assertions is that Aristotle’s conception of substance is essential for a grasp of his theory of demonstration in general, and of the role of syllogistic logic in particular.