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Topic: Prior Analytics

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Organon

Posterior Analytics

Categories (Aristotle)

Deduction

Logic

Deductive reasoning

Argument from authority

Induction (philosophy)

Aristotle

Syllogism

Inductive reasoning

Illicit major

Affirming a disjunct

False premise

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	20th WCP: The Modernity of Aristotle’s Logical Investigations
		Prior Analytics successfully established a formal deduction system that could serve as an instrument for demonstrative science, or apodeiktikê epistêmê, as this is outlined in Posterior Analytics.
		Prior Analytics (esp. at A1-2, 4-7, 23, 45) is a proof-theoretic treatise in which Aristotle demonstrated certain of the logical relationships among syllogistic deduction rules.
		This is especially evident at Prior Analytics B2-4 where he systematically treated the various possibilities of valid arguments with combinations of true and false sentences as premises and conclusions in the three figures.
	www.bu.edu /wcp/Papers/Logi/LogiBoge.htm (5026 words)

	Posterior Analytics - Wikipedia, the free encyclopedia
		The Posterior Analytics is a text from Aristotle's Organon which treats of demonstration and of knowledge.
		In the Prior Analytics, syllogistic logic is considered in its formal aspect; in the Posterior it is considered in respect of its matter.
		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.
	en.wikipedia.org /wiki/Posterior_Analytics (632 words)

	Prior Analytics (Site not responding. Last check: 2007-11-03)
		Prior Analytics A.J. Jenkinson's English translation [Internet Classics Archive].
		Prior Lake City Map Closeup view of (most of) the city of Prior Lake.
		Prior Lake Area Map Shows where Prior Lake is located in the Twin Cities area.
	www.serebella.com /encyclopedia/article-Prior_Analytics.html (288 words)

	Organon - Wikipedia, the free encyclopedia
		The system of logic described in two of these works, namely On Interpretation and the Prior Analytics, often called Aristotelian logic, is discussed in the article on term logic.
		The order of the works is not chronological (which is now hard to determine), but was deliberately chosen by the Peripatetics to constitute a well-structured system; indeed some parts of them seem to be a scheme of a lecture on logic.
		The Prior Analytics (Latin: Analytica Priora) introduces his syllogistic method, which is discussed in the article on term logic, argues for its correctness, and discusses inductive inference.
	en.wikipedia.org /wiki/Organon (864 words)

	Aristotle: an ancient mathematical logician (Site not responding. Last check: 2007-11-03)
		Prior Analytics: (1) logic is taken as part of epistemology; (2) syllogistic deduction is treated metalogically; (3) rules of natural deduction are explicitly formulated; (4) the syllogistic system is modeled to demonstrate logical relationships among its rules; and (5) logical syntax is distinguished from semantics.
		Prior Analytics Aristotle was principally concerned to treat argument patterns and not arguments in much the same way that a geometer treats triangles and parallelograms apart from a carpenter’s concern, for example, with this or that triangle, etc. 11
		Prior Analytics is a proof-theoretic treatise in which Aristotle described a natural deduction system and demonstrated certain of the logical relationships among syllogistic rules.
	www.trentu.ca /ossa/p5.htm (4715 words)

	Duckworth Academic and Bristol Classical Press
		Alexander of Aphrodisias: On Aristotle Prior Analytics 1.14-22
		Alexander of Aphrodisias: On Aristotle Prior Analytics 1.23-31
		Alexander of Aphrodisias: On Aristotle Prior Analytics 1.32-46
	www.duckw.com /academic/series.php?series_id=22 (159 words)

	Aristotle
		In his more mature Prior Analytics, Aristotle maintains the view that has come to be associated with the development of his traditional syllogistic.
		He codifies this usage in the Prior Analytics (25b21): "'is' makes an affirmation always and in every case, whatever the terms to which it is added in predication, e.g.
		This transition from potency to act is called predication, and the Prior Analytics is an extended effort to work out the details of this view.
	david_hewins.tripod.com /papers/id11.html (6517 words)

	Prior Analytics (Site not responding. Last check: 2007-11-03)
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	hallencyclopedia.com /Prior_Analytics (321 words)

	20th WCP: Aristotle's Reform of Paideia
		In maintaining that Aristotle’s logic, Prior Analytics in particular, is concerned with substantive reasoning, I oppose the contemporary view that it is a formal science dealing with abstract syllogistic forms of argument, initiated by the great Polish logician Jan Lukasiewicz.
		Aristotle begins Prior Analytics by asserting the aim of the inquiry is demonstration, implying that the study of the syllogism is the means toward that goal.
		Aristotle illustrates it by a syllogism that concludes that the planets are near because they do not twinkle, when the fact that the planets do not twinkle is explained by their being near.
	www.bu.edu /wcp/Papers/Anci/AnciBark.htm (2740 words)

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	www.idanalytics.com /legal (1374 words)

	Meningar.com om prior. Prior, this, that mm. (Site not responding. Last check: 2007-11-03)
		"...Prior to the present time, only a few pioneering disciplesAstrology, 250:of interlude and Mars is temporarily quiescent, prior to gathering his forces for a renewed effortAstrology, 256:resembled the stage of the embryo in the womb, prior to the quickenin..
		The NSCA Mosaic Web Browser and Other Acknowledged Prior Art The '906 patent acknowledges that Web browsers were in the prior art and in fact describes its alleged invention in terms of modifications to one such prior art browser, the NCSA Mosaic browser..
		Conventical, or Conventual, prior, a prior who is at the head of his own house...
	www.meningar.com /prior.html (1976 words)

	Prior Analytics - Wikipedia, the free encyclopedia
		Prior Analytics is Aristotle's work on deductive reasoning, part of his Organon, the "organ" of logical and scientific methods.
		The text of the Prior Analytics is available from the MIT classics archive.
		This page was last modified 19:38, 9 June 2005.
	en.wikipedia.org /wiki/Prior_Analytics (58 words)

	Aristotle's Logic
		In the Prior Analytics, Aristotle adopts a somewhat artificial way of expressing predications: instead of saying "X is predicated of Y" he says "X belongs (huparchei) to Y".
		Aristotle rejects circular demonstration as an incoherent notion on the grounds that the premises of any demonstration must be prior (in an appropriate sense) to the conclusion, whereas a circular demonstration would make the same premises both prior and posterior to one another (and indeed every premise prior and posterior to itself).
		In Prior Analytics I.31, he contrasts Division with the syllogistic method he has just presented, arguing that Division cannot actually prove anything but rather assumes the very thing it is supposed to be proving.
	plato.stanford.edu /entries/aristotle-logic (11032 words)

	SUNY Press :: Analysis and Science in Aristotle
		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.
	www.sunypress.edu /details.asp?id=53631 (301 words)

	Medieval Theories of the Syllogism
		Once the Prior Analytics reappeared in the West in the middle of the twelfth century, commentaries on it began appearing in the late twelfth and early thirteenth centuries.
		The theory of the modal syllogism, however, was incomplete in the Prior Analytics, and in the hands of medieval logicians it saw a remarkable development.
		In the Prior Analytics, Aristotle presents the first system of logic, the theory of the syllogism (see the entry on Aristotle's logic and ch.
	plato.stanford.edu /entries/medieval-syllogism (11683 words)

	[No title]
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	www.realmarket.com /news/frontrange072904.html (234 words)

	Aristotle (W. D. Ross, ed. & commentary.) \| Aristotle's Prior and Posterior Analytics. \| Book #25684 (Site not responding. Last check: 2007-11-03)
		Aristotle's logical treatises could be said to have determined the course of logic and the philosophy of science for over 2,000 years.
		The Prior Analytics aims to reveal the structure that Aristotle regarded as common to all reasoning--the syllogism--and to show its formal varieties irrespective of the subject matter of argument; while the Posterior Analytics studies how things should be defined--their basic explanatory features--in scientific reasoning.
		This edition of the Analytics is the work of the foremost 20th century scholar of Aristotle, Sir David Ross, and follows the form of his editions of the Metaphysics and Physics.
	www.powellschicago.com /html/reprints/25684.html (131 words)

	[No title]
		They must be both explanatory and better known and prior -- explanatory because we only s-know when we know the explanation; and prior, if they are explanatory; and already known not only in the sense of understanding their meaning but also of knowing that they are.
		Things are prior and better known [gnorimotera] in two ways; for it is not the same to be prior and better known by nature and prior and better know in relation to us.
		They are prior by nature both because nature is the way it is and because they are the common grounds under which many apparently diverse phenomena can be subsumed and explained.
	web.clas.ufl.edu /users/maydede/Aristotle.html (18431 words)

	Amazon.com: Aristotle's Modal Logic : Essence and Entailment in the Organon: Books: Richard Patterson (Site not responding. Last check: 2007-11-03)
		by Richard Patterson "The chapters of the Prior Analytics devoted to modal arguments are notoriously difficult, controversial, and, according to a numerous weighty authorities, deeply confused..." (more)
		The chapters of the Prior Analytics devoted to modal arguments are notoriously difficult, controversial, and, according to a numerous weighty authorities, deeply confused.
		Prior Analytics, Posterior Analytics, Peter Geach, Thus Aristotle, Horse Human, Paul Thom, White White, Antique White, Drinks Hemlock
	www.amazon.com /exec/obidos/tg/detail/-/0521522331?v=glance (684 words)

	Logic in Islamic philosophy (Site not responding. Last check: 2007-11-03)
		One of the purposes of including a consideration of the tasawwur-tasdiq dichotomy in introductory discussions of the purpose of logic is to provide an epistemological foundation for the two focal points of Aristotelian logic, the definition and the syllogism (see Logical form §1).
		However, since the definition and the syllogism are both considered in the Prior and Posterior Analytics and the works that come after them in the Organon, the study of the ways of producing conceptualization and assent presupposes as its foundation the study of single terms and propositions in the Categories and De interpretatione.
		In the case of the theory of demonstration itself, Islamic logicians organized their commentaries on the Posterior Analytics around the definition and the demonstrative syllogism as the means by which both conceptualization and assent are most perfectly attained.
	www.muslimphilosophy.com /ip/rep/h017.htm (5106 words)

	The Internet Classics Archive \| Prior Analytics by Aristotle
		Prior Analytics has been divided into the following sections:
		Commentary: A few comments have been posted about Prior Analytics.
		Recommend a Web site you feel is appropriate to this work,
	classics.mit.edu /Aristotle/prior.html (30 words)

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	Formal Deductive Logic (Site not responding. Last check: 2007-11-03)
		Note: With these paragraphs begins the story of what we might call "Formal Deductive Logic"-- the study of syllogisms, like "All x are y.
		Hence, all x are z." Aristotle's "demonstrative science," as Prior Analytics itself suggests, is an analysis of a priori logic.
		We must first state the subject of our inquiry and the faculty to which it belongs: its subject is demonstration and the faculty that carries it out demonstrative science.
	ghc.ctc.edu /HUMANITIES/DLARSON/prior.htm (533 words)

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	Aporia - Aristotle's Quantificational Logic - Christensen (Site not responding. Last check: 2007-11-03)
		Indeed, if “the Prior Analytics [is] a theoretical preliminary to the Posterior” (Smith, “Introduction” xiii), anything not directly related to this goal would not receive much attention.
		There are many...points in the Prior Analytics suggesting that the contents of this work grew during its composition.
		His uses of ecthesis can best be explained, however, by assuming that Aristotle understood a great deal about quantization (both instantiation and generalization, both existential and universal) but that he left the system as a whole undeveloped.
	humanities.byu.edu /philosophy/aporia/volumes/vol111/christensento.html (2635 words)

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