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| | Non-Aristotelian Finitary Logic |
 | | There are other logics wherein the inference rules are non-classical, i.e., deny one of these laws. | | | I claim that truth for the proposition A is "axiomatic" in nature, i.e., A is true or false if and only if the human mind *asserts* A or ~A according to its free will. | | | But (iii) is an instance where intuitionists will agree that (2) fails, but will still insist on (3). |
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http://nafl.blogspot.com
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| | Philosophical Dictionary: Arche-Artificial Intelligence |
| | A collection of two or more propositions, all but one of which are the premises supposed to provide inferential support—either deductive or inductive—for the truth of the remaining one, the conclusion. | | | Questions, comments, and suggestions may be sent to: the Contact Page. | | | For a discussion of his life and works, see Aristotle. |
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http://www.philosophypages.com/dy/a7.htm
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| | Aristotle's Logic |
| | The premises of demonstrations must be true and primary, that is, not only true but also prior to their conclusions in the way explained in the Posterior Analytics. | | | The sentence "Socrates is pale" gets its truth from a state of affairs consisting of a substance (Socrates) and a quality (whiteness) which is in that substance. | | | Aristotle's logic, especially his theory of the syllogism, has had an unparalleled influence on the history of Western thought. |
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http://plato.stanford.edu/entries/aristotle-logic
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| | Non-Aristotelian logic - Wikipedia, the free encyclopedia |
| | This position, it must be said, is largely driven by General Semanticist ideology. | | | Modal logic is a non-classical logic which, however, has only two truth values. | | | Relevant logic, the Continuum logic and the Kleene 3-logic) make no claim to replace deductive reasoning, but are generally extensions of classical logic intended to deal with specific issues (e.g. |
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http://www.wikipedia.org/wiki/Non-Aristotelian_logic
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| | Aristotelian and Non-Aristotelian Logic |
| | At latest reports the committee was still deliberating. | | | The possibility of many-valued, non-Aristotelian systems of logic is to date a scientifically established fact because the various calculi which would correspond to the mental activities of a non-Aristotelian intelligence have already been worked out. | | | The dilemma of the condemned poacher on the other hand is not solvable within the confines of the classic logic of Aristotle. |
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http://www.thinkartlab.com/pkl/archive/gg_fiction/aristotelian.htm
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| | CHAPTER THREE - THE TRIVALENT LOGIC OF AYMARA |
| | Moreover, truth-tables are an indispensable tool for reaching conclusions from several complex premises. | | | The main subject of logic is inference, a process by which a conclusion is reached from one or more premises. | | | If Lukasiewicz had been a Qoya, he would probably have considered the bivalent logic of Spanish-speaking people as strange and worthy of study as polyvalent systems of logic. |
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http://www.aymara.org/biblio/igr/igr3.html
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| | Logic - Wikipedia, the free encyclopedia |
| | If proof theory and model theory have been the foundation of mathematical logic, they have been but two of the four pillars of the subject. | | | Just as we have seen there is disagreement over what logic is about, so there is disagreement about what logical truths there are. | | | Recursion theory captures the idea of computation in logical and arithmetic terms; its most classical achievements are the undecidability of the Entscheidungsproblem by Alan Turing, and his presentation of the Church-Turing thesis. |
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http://en.wikipedia.org/wiki/Logic
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| | Organon - Wikipedia, the free encyclopedia |
| | Aristotle's works on logic, (collectively called the Organon), are the only significant works of Aristotle that were never "lost"; all his other books were "lost" from his death, until rediscovered in the 11th century. | | | 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. | | | Stoic logic was predominant, particularly the work of Chrysippus (none of whose work has survived). |
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http://en.wikipedia.org/wiki/Aristotelian_logic
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| | Aristotle's logic - Why Aristotelian logic does not work |
| | Aristotelian logic is also called by some, ‘Descartian logic’. | | | As a dogma, it has been extremely useful in analysing the world (Aristotle called his logical system ‘analytics&;). | | | Aristotelian logic simply does not conform to, or express, the nature of the world as it is. Aristotelian logic engenders a simplistic but erroneous model of reality. |
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http://www.abelard.org/category/category.htm
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| | [No title] |
| | A vast literature is devoted to the subject of the possible interpretations of the Aristotelian theory of syllogism. | | | The topics such as Aristotle discussed in the works contained in the Organon were what in later centuries most people have called logic. | | | To realize this idea of course is not possible in one logic, which would be «the true logic» and which would outdo Aristotelian logic in every respect. |
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http://www.ifs.csic.es/sorites/Issue_04/item5.htm
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| | logic -> Post-Aristotelian Logic on Encyclopedia.com 2002 |
| | This position came to be known in the Middle Ages as realism. | | | Solid State Logic's AWS 900 Analogue Workstation System. | | | Commodity logic: The jellybeans of the digital world |
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http://www.encyclopedia.com/html/section/logic_post-aristotelianlogic.asp
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| | SYLLOGISM: Online program for Aristotelian Logic |
| | This site is a "living proof" for this assertion which has been put forward convincingly by Freytag-Löringhoff, Lukasiewicz, Smiley, Corcoran and many other scholars since more than 50 years. | | | Aristotle's logic is a perfect formal system of its own, which is independent of modern propositional or predicate logic. | | | This site is devoted to the formal aspects of traditional Aristotelian logic. |
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http://aristotelianlogic.glashoff.net
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| | Aristotelian Logic |
| | Most of Aristotle's writings are lost, but his students and subsequent scholars wrote many commentaries based on his teachings. | | | New types of logic have been developed that provide a more accurate foundation for mathematical and scientific inquiry. | | | A Greek philosopher who lived from 384-322 B.C., Aristotle was a student of Plato and a founder of what we know today as formal logic. |
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http://www.teachervision.fen.com/page/5992.html?for_printing=1
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| | Al-Fārābī and Aristotelian Syllogistics |
| | A specialist in the history of Arabic logic, he is currently preparing a study on modal theories in medieval Islam. | | | The sections on syllogistic theory proper are especially important for those interested in the history of Arabic logic; the remaining sections are required reading for historians of Islamic law, theology, and Islamic political philosophy. | | | The first part focuses on a wide range of subjects relating to syllogistic theory proper; the second part deals with its application in the context of Islamic law and theology, and concludes with an in-depth analysis of the way in which Aristotelian logic came to be integrated into Muslim political thought. |
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http://www.brill.nl/product.asp?ID=2544
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| | Thinking in New CategoriesNon-Aristotelian Logic in an Aristotelian Society |
| | The protagonist, Gilbert Gosseyn (go-sane) has come to the city to take the test only to find out his identity and his memories of his life are false (Vogt 9). | | | Thinking in New CategoriesNon-Aristotelian Logic in an Aristotelian Society | | | Using the principles of Null-A (non-aristotelian logic) Gosseyn sets out to discover who he is. |
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http://www.johnmichaelwilson.com/?lang=en&page=adven02
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| | [No title] |
| | And this helps to explain both his low regard for its admittedly second-rate supporters, and also the manner of his criticism. | | | Locke adopted from the Cartesians a contempt for the alleged barrenness of Aristotelian syllogistic theory, and aspired to replace it with a discipline focused not on the formal relations of words, but instead on the powers of the human mind and the improvement of our cognitive faculties. | | | HUME very explicitly followed the Lockean interpretation of ÒlogicÓ, and evidently saw the first book of his Treatise of Human Nature as a contribution to it: The sole end of logic is to explain the principles and operations of our reasoning faculty, and the nature of our ideas.... |
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http://www.etext.leeds.ac.uk/peter/papers/1997LogicEEmp.doc
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| | Fourth Law of Logic |
| | We may think of a thing - say, α - some feature A of which is said to change. | | | , thus violating logic laws one and two. | | | Thus, if Aristotle's laws are taken to be all the fundamental laws of logic, then logically there can be no change whatsoever, because change negates all three laws. |
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http://www.cheniere.org/books/aids/appendixIII.htm
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| | log |
| | it has been largely supplanted as a field of study by symbolic logic, which replaces ordinary language with mathematical symbols. | | | 2 In contemporary logic, any statement derived by a transformed rule upon an axiom; more generally, the term now refers to a process of deriving theorems from axioms, or conclusions from premises, by formal rules (transformation rules). | | | Aristotelian logic basically held sway in the Western world for 2,000 years, but since the 19th cent. |
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http://www.uga.edu/~cml/isms/log.html
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| | PhilSci Archive - Quantum superposition justified in a new non-Aristotelian finitary logic |
| | A new non-Aristotelian finitary logic (NAFL) is proposed in which | | | non-Aristotelian finitary logic, anti-realism, quantum superposition, undecidability, consistency, model theory, set theory, law of the excluded middle, law of non-contradiction | | | Quantum superposition principle justified in a new non-Aristotelian finitary logic (deposited 01 September 2004) |
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http://philsci-archive.pitt.edu/archive/00000635
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| | The Arch of Aristotelian Logic |
| | Hume also sharpens the Problem of Induction by noting that no generalizations whatsoever are logically justified. | | | However, since this is impossible, there must be reasons for which there do not need to be further reasons: reasons which do not need to be proven. | | | Our attempt to justify our beliefs logically by giving reasons results in the "regress of reasons." Since any reason can be further challenged, the regress of reasons threatens to be an infinite regress. |
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http://www.friesian.com/arch.htm
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| | The Tom Bearden Website |
| | That logic allowed the solutions to many things after that. | | | That violates 3-law Aristotelian logic, but it also eliminates all boundaries. | | | Aristotelian logic eats itself, by its own rules. |
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http://www.cheniere.org/correspondence/032003a.htm
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| | Aristotelian logic |
| | the logic of Aristotle, esp. in the modified form taught in the Middle Ages. |
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http://www.infoplease.com/dictionary/Aristotelian+logic
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