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1. IngentaConnect Corner On Directions In Nonclassical Logic
Corner on directions in Nonclassical logic. Author Wansing H.1. Source Journal of logic and Computation, Volume 11, Number 6, 1 December 2001 , pp.
http://www.ingentaconnect.com/content/oup/logcom/2001/00000011/00000006/art00759
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2. Nonclassical Logic Theorem Proving
Nonclassical logic theorem proving. Source, Journal of Automated Reasoning archive Volume 1 , Issue 1 1985 table of contents. Pages 35 37
http://portal.acm.org/citation.cfm?id=8109.8116

3. Prof. Dr Heinrich Wansing
Corner on directions in Nonclassical logic Starting in 2001, the Journal of logic and Computation opens a corner on directions in Nonclassical logic.
http://www.tu-dresden.de/phfiph/prof/lowiphil/index.php?go=go/editorialboards

4. The Bulletin Of Symbolic Logic, June 2006
E. Schechter, Classical and Nonclassical logic an introduction to the mathematics of propositions, reviewed by Roger D. Maddux, page 308.
http://www.math.ucla.edu/~asl/bsl/1202-toc.htm
The Bulletin of Symbolic Logic
Volume 12, Issue 02, June 2006
Articles
  • Classifying the provably total functions of PA
  • Classification from a computable viewpoint
  • Schemata: the concept of schema in the history of logic
  • Weak distributivity, a problem of von Neumann and the mystery of measurability ...
  • Reviews
    In this issue:
  • J. Nolt, Logics , reviewed by Richard L. Epstein, page 290.
  • B. Hale and C. Wright, , reviewed by Gabriel Uzquiano, page 291.
  • G. Priest, An introduction to non-classical logic
  • F. Kamareddine, T. Laan, and R. Nederpelt, , reviewed by Marc Bezem, page 296.
  • T. Ehrhard, J.-Y. Girard, P. Ruet, and P. Scott, Linear logic in computer science , reviewed by Andrzej S. Murawski, page 297.
  • I. Neeman, The determinacy of long games
  • D. J. Pym and E. Ritter , reviewed by Didier Galmiche, page 302.
  • M. Mitzenmacher and E. Upfal, Probability and computing: Randomized algorithms and probabilistic analysis , reviewed by Mary Cryan, page 304.
  • E. Schechter, Classical and nonclassical logic: an introduction to the mathematics of propositions , reviewed by Roger D. Maddux, page 308.
  • 5. Questions And Answers About The AI Microelectronics Laboratory
    Fuzzy logic is another Nonclassical logic that is already popular with microcontrollers. It solves a completely different problem. Fuzzy logic deals with
    http://www.ai.uga.edu/~mc/microqa.html
    Questions and Answers about the AI Microelectronics Laboratory
    Dr. Michael A. Covington
    Last updated 1999 June 21
    General information
    Where is the laboratory? In the Artificial Intelligence Center, Room 111, Boyd GSRC, on the University of Georgia campus. Specifically, the laboratory is room 117. What will I see if I go there? As of June 21, activity is just beginning. We have a working speech synthesizer, an oscilloscope, and some basic electronic breadboarding tools. We're still waiting for two Pentium PCs, a universal device programmer, and the removal of some obsolete equipment presently in the room. Let me rephrase that. How is the lab going to be outfitted? Initially, there is going to be an electronics workbench, a PC for microelectronics projects, a Sun workstation, and a PC for speech synthesis and recognition projects. The lab also contains a desk and PC for the lab technicians who support all three AI laboratories. Who's paying for it? Two computers were funded by the College of Arts and Sciences. Hewlett-Packard has donated about $5500 worth of equipment, and other electronics companies have expressed an interest in helping us. Why isn't it in the Department of Electrical Engineering?

    6. Arnon Avron - Online Available Papers
    Studia logica 82 (a special issue of Studia logica on Cutelimination in classical and Nonclassical logic), 157-176, 2006. A. Avron, A. Zamansky
    http://antares.math.tau.ac.il/~aa/papers.html
    Arnon Avron - Online Available Papers
    Foundations and Mechanization of Mathematics
    A. Avron
    Constructibility and Decidability versus Domain Independence and Absoluteness

    To appear in Theoretical Computer Science (an earlier version: in "Logical Approaches to Computationa Barriers", proceedings of the second conference on Computability in Europe CiE 2006, edited by A. Beckmann, U. Berger, B. Lowe and J. V. Tucker, 11-20, LNCS 3988, Springer, 2006). A. Avron
    A Framework for Formalizing Set Theories Based on the Use of Static Set Terms Set Theories
    To appear in Trakhtenbrot Destschrift, A. Avron
    A New Approach to Predicative Set Theory
    A. Avron
    Safety Signatures for First-order Languages and Their Applications

    In "First-Order Logic Revisited" (Hendricks et all,, eds.), 37-58, Logos Verlag Berlin, 2004. A. Avron
    Transitive Closure and the Mechanization of Mathematics

    In "Thirty Five Years of Automating Mathematics" (F. Kamareddine, ed.), 149-171, Kluwer Academic Publishers, 2003. A. Avron
    On Strict Strong Constructibility with a Compass Alone

    Journal of Geometry 38, 12-15 (1990)
    Non-deteministic Semantics for Non-Classical Logics
    A. Avron, A. Zamansky

    7. Connexive Logic (Stanford Encyclopedia Of Philosophy)
    Connexive logic is a comparatively littleknown and to some extent neglected branch of Nonclassical logic. Systems of connexive logic are neither subsystems
    http://plato.stanford.edu/entries/logic-connexive/
    Cite this entry Search the SEP Advanced Search Tools ...
    Please Read How You Can Help Keep the Encyclopedia Free
    Connexive Logic
    First published Fri Jan 6, 2006; substantive revision Tue Oct 10, 2006 A A A and A A but usually the underlying intuitions are expressed by requiring that certain schematic formulas are theorems: AT: ~(~ A ) and
    A The first formula is often called Aristotle's Thesis And those who introduce the notion of connection say that a conditional is sound when the contradictory of its consequent is incompatible with its antecedent. (Sextus Empiricus, translated in Kneale and Kneale 1962, p. 129.) Boethius' Theses and which may be viewed (in addition with their converses) as capturing Chrysippus' idea: BT: ( A B B ) and
    A B B Prior Analytics b 3, where it is explained that: [I]t is impossible that the same thing should be necessitated by the being and by the not-being of the same thing. I mean, for example, that it is impossible that B should necessarily be great since A is white and that B should necessarily be great since A is not white.

    8. Classical Logic - Wikipedia, The Free Encyclopedia
    Classical vs nonclassical logic . In D.M. Gabbay, C.J. Hogger, and J.A. Robinson, (Eds), Handbook of logic in Artificial Intelligence and logic
    http://en.wikipedia.org/wiki/Classical_logic
    var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wikipedia";
    Classical logic
    From Wikipedia, the free encyclopedia
    Jump to: navigation search Classical logic identifies a class of formal logics that have been most intensively studied and most widely used. They are characterised by a number of properties ; non-classical logics are those that lack one or more of these properties, which are:
  • Law of the excluded middle and Double negative elimination Law of noncontradiction Monotonicity of entailment and Idempotency of entailment Commutativity of conjunction De Morgan duality : every logical operator is dual to another.
  • Classical logic is bivalent , i.e. it uses only Boolean-valued functions . And while not entailed by the preceding conditions, contemporary discussions of classical logic normally only include propositional and first-order logics.
    edit Examples of classical logics
    • Aristotle 's Organon introduces his theory of syllogisms , which is a logic with a restricted form of judgments: assertions take one of four forms, All Ps are Q Some Ps are Q No Ps are Q , and Some Ps are not Q . These judgments find themselves if two pairs of two dual operators, and each operator is the negation of another, relationships that Aristotle summarised with his

    9. 161-212 Non-Classical Logic
    This subject concerns nonclassical logic, that is, logic that extends or critiques the more orthodox logic normally encountered in a first course in logic.
    http://www.unimelb.edu.au/HB/subjects/161-212.html
    Subject information Search Index Faculty of Arts Philosophy
    Prev 161-211 Minds and Computers
    Next 161-213 Thinking in Asian Philosophy
    161-212 Non-Classical Logic
    Availability 2nd and 3rd year Credit Points Coordinator Assoc Prof Greg Restall Prerequisites 161-115 Logic or with permission from the Head of School or the subject coordinator, 620-122 Mathematics B (Advanced) or 620-142 Mathematics B or 433-255 Logic and Computation or 620-211 Mathematics 2 (Advanced). Semester Not Offered (view timetable) Contact Thirty five contact hours per semester: two 1-hour lectures per week for the whole semester and a 1-hour tutorial per week beginning the second week of semester Subject Description This subject concerns non-classical logic, that is, logic that extends or critiques the more orthodox logic normally encountered in a first course in logic. Students will be introduced to some of the more important non-classical logics such as modal, temporal, intuitionistic, paraconsistent, relevant and substructural logics. Details of the semantics and proof-theories of these logics will be considered, as well as the philosophical rationales for the logics. On completion of the subject, students should have a good understanding of the technical details of the logics covered, and of philosophical debates surrounding these logics. Generic Skills
    • have learnt to think clearly and precisely;

    10. An Introduction To Non-Classical Logic - Cambridge University Press
    This book is an introduction to nonclassical propositional logics. It brings together for the first time in a textbook a range of topics in logic,
    http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=052179434X

    11. ESSAYS ON NON-CLASSICAL LOGIC
    This book covers a broad range of upto-date issues in non-classical logic that are of interest not only to philosophical and mathematical logicians but
    http://www.worldscibooks.com/mathematics/4799.html
    Home Browse by Subject Bestsellers New Titles ... Browse all Subjects Search Bookshop New Titles Editor's Choice Bestsellers Book Series ... Advances in Logic - Vol. 1
    ESSAYS ON NON-CLASSICAL LOGIC
    edited by Heinrich Wansing (Dresden University of Technology, Germany)
    This book covers a broad range of up-to-date issues in non-classical logic that are of interest not only to philosophical and mathematical logicians but also to computer scientists and researchers in artificial intelligence. The problems addressed range from methodological issues in paraconsistent and deontic logic to the revision theory of truth and infinite Turing machines. The book identifies a number of important current trends in contemporary non-classical logic. Among them are dialogical and substructural logic, the classification of concepts of negation, truthmaker theory, and mathematical and foundational aspects of modal and temporal logic.
    Contents:
    • Fine-Grained Theories of Time (P Blackburn)
    • Revision Sequences and Computers with an Infinite Amount of Time (B Löwe)
    • On Frege's Nightmare: A Combination of Intuitionistic, Free and Paraconsistent Logics (S Rahman)

    12. Non Classical Logic
    Non Classical logics. Research / Miscellaneous. Tutorials / Bibliographies Fuzzy logic. Computational logic. Quantum logic. Philosophy of logic
    http://lgxserver.uniba.it/lei/logica/lgnon_cl.htm
    Related Pages Index HOME English HOME Italiano Non Classical Logics Research / Miscellaneous Tutorials / Bibliographies Related Fields
      Intuitionistic Logic Modal / Temporal / Dynamic Logics Linear / Substructural / Relevant / Paraconsistent Logics Fuzzy Logic Computational Logic Quantum Logic Philosophy of Logic Logic and Philosophy Logic and Mathematics Logic and Computer Science / AI General Resources
    SWIF
    Back to the top
    Index HOME English ... HOME Italiano

    13. Journal Of Applied Non Classical Logic
    The Journal of Applied Nonclassical Logics, published quarterly, is the key publication for the newest research in the field.
    http://jancl.e-revues.com/

    14. History Of Science © 2001- 2007 - Logical Empirism And Non-classical Logic
    Recent works on nonclassical logic emphasised that its borderline with classical logic has to be put on the validity of the law of double negation.
    http://www.historyofscience.it/home/index.php?option=com_content&task=view&id=62

    15. The Questia Online Library
    Priest, Graham. an Introduction to NonClassical logic.
    http://www.questia.com/PM.qst?a=o&se=gglsc&d=5001902120

    16. The Probabilistic Argument For A Non-classical Logic Of Quantum Mechanics
    a nonclassical logic in quantum mechanics. In outline the argument is the following. The working logic of a science is the logic
    http://suppes-corpus.stanford.edu/article.html?id=69

    17. Specter Feinstein Make Non-Classical Logic Breakthrough! | Threat Level From Wir
    Tonight Senator Dianne Feinstein (DCA) and House Senate Judiciary Chairman Arlen Specter (R-PA) will announce on the Senate floor that they have made a
    http://blog.wired.com/27bstroke6/2006/05/specter_feinste.html
    Top Stories Magazine Wired Blogs All Wired Main
    By Wired Blogs Tonight Senator Dianne Feinstein (D-CA) and House Senate Judiciary Chairman Arlen Specter (R-PA) will announce on the Senate floor that they have made a breakthrough in ternary logic , having found a way to express one absolute truth without having to assume its logical conclusions. The Senators are way too modest to say this outright so instead are they announcing their breakthrough via example choosing the NSA warrantless surveillance program. Tonight the Senators will introduce a bill that will "re-state that FISA is the exclusive means by which our government can conduct electronic surveillance of U.S. persons on U.S. soil for foreign intelligence purposes," but simultaneously the Senators are NOT saying that the warrantless eavesdropping program revealed by the New York Times is illegal. Senators Specter and Feinstein will soon on C-SPAN2 announce both that FISA is the only
    Stay tuned...

    18. A Non-classical Logic For Information Retrieval -- Van Rijsbergen 29 (6): 481 --
    Implicit in many information retrieval models is a logic. These logics are hardly ever formalised. This paper formalises a nonclassical logic underlying
    http://comjnl.oxfordjournals.org/cgi/content/abstract/29/6/481
    @import "/resource/css/hw.css"; @import "/resource/css/computer_journal.css"; Skip Navigation Oxford Journals The Computer Journal 1986 29(6):481-485; doi:10.1093/comjnl/29.6.481
    British Computer Society

    This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Similar articles in ISI Web of Science Alert me to new issues of the journal ... Download to citation manager Search for citing articles in:
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    A non-classical logic for information retrieval
    C. J. Van Rijsbergen Computer Science Department, The University, Glasgow G12 8QQ UK Implicit in many information retrieval models is a logic. These logics are hardly ever formalised. This paper formalises a non-classical logic underlying information retrieval. It shows how a particular Retrieval. Its relationship to existing retrieval mechanisms

    19. MOLOG
    Once the user has chosen the set of inference rules to be used (and thus a nonclassical logic), MOLOG works just as a Prolog interpreter given a database
    http://www.irit.fr/ACTIVITES/EQ_ALG/Herzig/molog.html
    LILaC
    Topic: MOLOG - a tool for non-classical logic programming
    Participants: Luis Fariñas del Cerro Andreas Herzig C-Prolog versions in 1986 and 1988, adapted to other Prolog interpreters by J.-F. Bosc in 1992. The principles of an abstract machine have been elaborated by M. Bricard in 1987. This work has been continued by J. Garmendia Aguirre and J.-M. Alliot and has led the latter to implementations in ADA and C in 1991. MOLOG is a general inference machine for building a large class of meta-interpreters. It is in particular suitable for implementing extensions of Prolog with non-classical logics such as logics of knowledge, belief, time, action, uncertainty, etc. MOLOG handles Prolog clauses (with conjunctions and implications ) qualified by modal operators , such as pos:it_rains (it is possible that it rains), or knows(a):pos:it_rains (agent a knows that it is possible that it rains). The user has the possibility to define his modal operators. The language can be multi-modal (i.e., contain several modal operators at the same time). Classical resolution is extended with modal resolution rules that define the operations that can be performed on the modal operators. These rules depend on the modal logic. The MOLOG user can either use an already existing set of resolution rules, or create his own set of rules.

    20. UVic Course: PHIL 531 Topics In Non-Classical Logic
    Topics in NonClassical logic. Units 1.5 or 3.0. Note May be taken more than once for credit in different topics with approval of the Philosophy Graduate
    http://web.uvic.ca/calendar2007/CDs/PHIL/531.html
    Emergencies Maps Directory Webmail ...
    PHIL Course List

    Philosophy (PHIL)
    PHIL 531
    Topics in Non-Classical Logic
    Units: 1.5 or 3.0
    Note: May be taken more than once for credit in different topics with approval of the Philosophy Graduate Adviser. Graduate course in the Philosophy program administered by the Faculty of Graduate Studies. Fields of Study ACAN ADMN AE ANTH ... Contacts Updated Aug 21, 2007

    21. Categories: Re: Subobject Classifier And Non-classical Logic (intuistion
    Prev by Date categories Subobject classifier and nonclassical logic (intuistionistic); Next by Date categories embeddability; Previous by thread
    http://north.ecc.edu/alsani/ct01(9-12)/msg00045.html
    Date Prev Date Next Thread Prev Thread Next ... Thread Index
    categories: Re: Subobject classifier and non-classical logic (intuistionistic)

    22. JSTOR An Argument In Favour Of Non-Classical Logic For Quantum Theory
    If greater attention is paid to specific features of the mathematical formalism then the argument for the adoption of a nonclassical logic may be seen in a
    http://links.jstor.org/sici?sici=0003-2638(198403)44:2<61:AAIFON>2.0.CO;2-U

    23. Books - Essays On Non-Classical Logic - 9789810247355
    Buy Essays on NonClassical logic - Price Range $77.52 - $101.49 from 2 sellers.
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    24. Introduction To Non-Classical Logic | ISBN: 052179434X
    Introduction to NonClassical logic. by Graham Priest. ISBN-10 052179434X. ISBN-13 978-0521794343. List Price $23.99. Best Price $16.24 (Save 32%)
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    Keyword Title Author ISBN var addthis_pub = 'valorebooks'; More Product Details Introduction to Non-Classical Logic by Graham Priest ISBN-10: 052179434X ISBN-13: 978-0521794343 List Price: $23.99 Best Price: (Save 32%) Secure Checkout Website Security Valore Guarantee The Student's Marketplace How does this page work? Book Condition Guidelines Have one to sell? Brand New Items (12 In-Stock) Price In-Stock Seller/
    Feedback Comments Shipping Methods Ships From Seller Question rcbooks CONDITION:NEW This is the first introductory textbook on non-classical propositional logics. Logic Media Mail Priority Mail Tolland, CT academybooks new * fine, clean condition *** Author: Priest, Graham *** Publisher: Cambridge Media Mail Priority Mail Long island
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  • 25. TANCL '07 - Home
    Algebraic and Topological Methods in NonClassical logics III working on many facets of non-classical logic;; to foster future collaborations.
    http://www.maths.ox.ac.uk/notices/events/special/tancl07/
    Algebraic and Topological Methods in Non-Classical Logics III
    This international conference will be held at
    and the Mathematical Institute
    (University of Oxford)
    Oxford, England

    The conference is the third in the series Algebraic and Topological methods in Non-Classical Logics (TANCL). The first was held in 2003 in Tbilisi , Georgia, and the second in 2005 in Barcelona , Spain.
    News
    30 July 2007 : We regret that no more bookings can be accepted for accommodation at St Anne's College. If you have reserved accommodation and will after all not be able to attend the conference, please email tancl@maths.ox.ac.uk immediately. A draft schedule of talks is now available for downloading. The arrival information has been expanded and further information provided about the satellite workshops. 11 July 2007 : Late registrations: We can still accept registrations. However we regret we cannot accept any further applications for financial support, since we have allocated all the available funding to those who registered by the deadline of 30 June. Accommodation at St Anne's College is still available, but due to heavy demand, no more bookings for rooms of the cheapest type can be accepted. 11 July 2007 Travel : Further information has now been added to this page.

    26. Powell's Books - Introduction To Non-classical Logic (01 Edition) By Graham Prie
    This is the first introductory textbook on nonclassical propositional logics
    http://www.powells.com/cgi-bin/partner?partner_id=719&cgi=product&isbn=052179434

    27. Outlines Of A Non-classical Logic For The Approach Of Fuzziness
    Since the classical logic is not apt to deal with indeterminacy, a new approach of the latter will be a nonclassical one that may be called an aoristic
    http://www.ici.ro/ici/revista/sic1999_4/art06.html
    Outlines Of A Non-classical Logic for the Approach Of Fuzziness
    Alexandru Giuculescu
    7-9 Vasile Conta str., 70139 Bucharest ROMANIA
  • The concept of fuzziness may be approached more efficiently if it is considered as a fact of indeterminacy , that also covers many other concepts known under several labels like ambiguity, equivocacy, undecidability, uncertainty, vagueness, or crisis, chaos, disorder, entropy, etc. In this paper, for clarity’s sake, semantical aspects will be, as much as possible, separated from the logical ones on the reason that the lack of verbal exactness may be remedied by avoiding, or replacing vague or ambiguous terms and expressions or/and stressing the intended meaning by redundancy. Semantic indeterminacy is usually provisional and it is to be eliminated, by convenient operations, even in mathematics. The problem of indeterminacy is for logicians as old as that of determination, but the latter got priority since the former was considered as lying without the scope of science. However Aristotle dealt with it in " De Interpretatione field-path the first member exists alone even without a path, while the second member may be thought as a mere possibility and cannot be imagined in the absence of the field. From this example one may conclude that indeterminacy possesses a structure of possible components which can eventually change even the character of indeterminacy, but they conserve it as long as these components remain mere possibilities with equal chances to turn true. The metaphor of the pair field-path may also serve to reveal the ontological roots of
  • 28. HYLE 5-1 (1999): Atomism And The Reasoning By A Non-Classical Logic
    Of course, we do not claim that people deliberately argued by means of a nonclassical logic before it was recognized and properly formalized.
    http://www.hyle.org/journal/issues/5/drago.htm
    HYLE – International Journal for Philosophy of Chemistry, Vol. 5 (1999), No. 1 , pp. 43-55
    Atomism and the Reasoning by a Non-Classical Logic
    Abstract: A A does not apply. Recent studies recognized in the failure of this logical law the borderline between classical and non-classical logics. Original writings by classical chemists dealing with the problem of atomism are particularly characterized by the occurrences of DNSs. An historical case, Avogadro’s contribution to atomism ( i.e. the well-known hypothesis about the constitution of gases), is here analyzed in such terms. It turns out that, in order to support his ideas, Avogadro suggested several ad absurdum proofs, indeed a way of reasoning typically linked to the use of DNSs. Keywords: atomism, logic, Avogadro
    Introduction
    A A (read: ‘not-not- A implies A’ , where A is any statement), which holds true for classical logic, whilst it fails for non-classical ones.[ In other words, the basic difference between classical and non-classical logics may be confined to the law of double negation: if classical logic applies, a double negated sentence implies its related positive, otherwise we have what we call a DNS, i.e.

    29. PHIL2100 - Worlds, Possible & Impossible: An Introduction To Non-Classical Logic
    Modal logic and some of intuitionism, paraconsistent, deontic, Worlds, Possible Impossible An Introduction to NonClassical logic PHIL2100
    http://www.uq.edu.au/study/course.html?course_code=PHIL2100

    30. Centre For Logic, Epistemology And The History Of Science - CLE
    NonClassical logic, Model Theory and Computability , Studies in logic and the Foundations of Mathematics, North-Holland Pub.
    http://www.cle.unicamp.br/english/
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    31. Francoise BASCH, Gender And Fantasies: About Victorian Norms Of Womanhood
    Yet despite their daring challenge to the norms of classical logic, the inspiration behind nonclassical logic is characteristically more down-to-earth.
    http://www.soton.ac.uk/~wer/abnormalabstracts.htm
    The Normal and the Abnormal: Historical and cultural perspectives on norms and deviations SSHM Research Symposium, CHSTM and Wellcome Unit, Manchester 10-11 July 2002. ABSTRACTS Andrew ABERDEIN, Deviance, logic and deviant logic I will explore whether challenges to cultural norms can reach as far as the norms of logic. In particular, shall seek to determine the influence of pluralism in formal logic on this debate. I shall discuss three notable examples of discourses in which attempts have been made to link deviant logic with social deviancy: * Psychoanalysis. Some twentieth-century psychoanalysts have made significant use of formal logic in the articulation of their theories (Matte Blanco, Bion). This step makes a link from deviant behaviour to deviant logic easy to draw. * Feminism. Feminist critics of formal logic have sought to argue that the norms of (classical) logic are implicitly gendered, betraying a masculine bias which should be transgressed. Some of them wish to overthrow formal logic entirely (Nye), but others have argued that the adoption of a suitable non-classical logic would provide a progressive resolution (Plumwood). Sources COOPER, D. 1975 'Alternative logic in 'primitive thought''

    32. Atlas: A Many-sorted Algebraic Approach To First Order Predicate Calculi For Non
    Finally, a mathematical definition not only a nominal or an ostensible one- responsible with the identification of a (non-classical) logic -and of the
    http://atlas-conferences.com/cgi-bin/abstract/caug-50
    Atlas home Conferences Abstracts about Atlas ALGEBRAIC AND TOPOLOGICAL METHODS IN NON-CLASSICAL LOGICS III (TANCL'07)
    August 5-9, 2007
    St Anne's College, University of Oxford
    Oxford, England Organizers
    Mai Gehrke and Hilary Priestley View Abstracts
    Conference Homepage
    A Many-sorted Algebraic Approach to First Order Predicate Calculi for Non-Classical Logics
    by
    Selected references [MM] H.Rasiowa and R.Sikorski: The Mathematics of Metamathematics, 3rd ed., Warszawa 1970; [AANL] H. Rasiowa: An Algebraic Approach to Non-Classical Logics PDF Date received: May 13, 2007 Atlas Conferences Inc. Document # caug-50.

    33. An Introduction To Non-Classical Logic For Sale - TradeMe.co.nz - New Zealand
    An Introduction to NonClassical logic for sale - TradeMe.co.nz - New Zealand Trade Me is New Zealand s leading shopping website, with thousands of online
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    34. FTP'98 Extended Abstracts
    in the volume Automated Deduction in Classical and NonClassical logics, Automated theorem proving in first-order logic modulo on the difference
    http://www.logic.at/ftp98/
    Final Program List of Participants
    FTP'98
    International Workshop on
    First order Theorem Proving
    Schloss Wilhelminenberg, Vienna, Austria
    November 23 - 25, 1998
    Extended abstracts
    This page gives access to the extended abstracts presented at FTP'98 ( BiBTeX entries ). Full versions of most papers were published in the volume Automated Deduction in Classical and Non-Classical Logics, LNCS 1761, Springer 2000
    Front matter
    The front matter consists of cover page, preface, list of persons involved (program committee, additional referees, steering committee), and table of contents.
    Invited talks
    • Automated theorem proving in first-order logic modulo: on the difference between type theory and set theory
      Gilles Dowek , pages 1-21
      Abstract
      ; the full version will appear in spring 1999 in a volume on first-order theorem proving.) Higher-order modal logic - a sketch
      Melvin Fitting , pages 22-36
      Abstract
      ; the full version will appear in spring 1999 in a volume on first-order theorem proving.) Bertrand Russell, Herbrand's theorem, and the assignment statement
      Melvin Fitting , pages 37-49
      Published in J.Calmet and J.Plaza, editors

    35. Logic Colloquium 2003
    Classical and nonclassical logic, Hall 1, Friday 15.8. 17.00-17.20 Vladimir A. Stepanov Semantics of self-reference a dynamical systems approach
    http://www.math.helsinki.fi/logic/LC2003/abstracts/csc.html
    Main Awards Registration Accommodation ... ASL
    Contributed talks schedule of LC2003
    Model theory, Hall 5, Friday 15.8.
    • John Baldwin: Local homogeneity, benign sets and expansions of models Koichiro Ikeda: Stability of generic pseudoplanes Aleksander Ivanov: Asylkhan Khisamiev: On quasiresolvable models Krzysztof Majcher:
    Model theory 2, Hall 6, Friday 15.8.
    • A word on infinite forcing Fredrik S. G Engström: Omitting types in expansions and related strong saturation properties On interpolation and Lindström's Theorem in abstract logic without negation Markus Junker: Martin Goldstern: The Galois connection between relations and automorphism
    Recursion theory and arithmetic, Hall 10, Friday 15.8.
    • Anatoly Beltiukov: Polynomially decidable theories of polynomial constructive arithmetic with recurring induction Evan J. Griffiths: Characterising Algorithmic Randomness Gyesik Lee and Andreas Weiermann: Giacomo Lenzi and Erich Monteleone:
    Set theory, Hall 13, Friday 15.8.
    • Forcing notions in inner models Natasha L. Dobrinen: A very weak distributive law and a related game in Boolean algebras Sy David Friedman: Alex Hellsten: Killing a weakly compact set Justin Moore: Some remarks on OCA and the size of the continuum
    Proof theory, constructivism and philosophy of mathematics, Hall 12, Friday 15.8.

    36. Paoli (L&PS - Vol. 2 - No. 1 - 2004)
    Once upon a time the phrase “nonclassical logic” was roughly synonymous with “philosophical logic”. This widespread identification had only in part its
    http://www.univ.trieste.it/~episteme/L&PS_Vol2No1/paoli (L&PS - Vol. 2 - No. 1 -
    JC BEALL and BAS C. VAN FRAASSEN
    Possibilities and Paradox: An Introduction to Modal and Many-Valued Logic
    Oxford University Press, Oxford, February 2003
    250 pages, GBP 18.99, paperback
    ISBN 0-19-925987-9
    http://www.oup.co.uk/isbn/0-19-925987-9

    Reviewer
    Francesco Paoli
    Department of Education, University of Cagliari

    paoli@unica.it

    propositional level, whereby they could spare themselves all the mathematical complications brought about by arithmetic, set theory, higher order logic and the like. Possibilities and Paradox: An Introduction to Modal and Many-Valued Logic Introduction to Non-Classical Logic this volume can be an excellent companion for a first exploration of the fascinating logical territories that lie beyond the classical borders. rationale for this label soon becomes evident as Beall and van Fraassen opt to introduce many-valued logics mainly as sources of intuitions and techniques to defeat two time-honoured logical puzzles, the liar and the sorites. Entailment.

    37. ScienceDirect - Information Sciences : Filter-based Resolution Principle For Lat
    Latticevalued logic is a kind of important non-classical logic, which can be applied to describe and handle incomparability by the incomparable elements in
    http://linkinghub.elsevier.com/retrieve/pii/S0020025506002210
    Athens/Institution Login Not Registered? User Name: Password: Remember me on this computer Forgotten password? Home Browse My Settings ... Help Quick Search Title, abstract, keywords Author e.g. j s smith Journal/book title Volume Issue Page Information Sciences
    Volume 177, Issue 4
    , 15 February 2007, Pages 1046-1062
    Abstract
    Full Text + Links PDF (255 K) Related Articles in ScienceDirect [alpha] Resolution principle based on first order latti...
    Information Sciences

    Resolution principle based on first order lattice valued logic LF X
    Information Sciences Volume 132, Issues 1-4 February 2001 Pages 221-239
    Yang Xu, Da Ruan, Etienne E. Kerre and Jun Liu
    Abstract
    PDF (230 K) [alpha] Resolution principle based on lattice ...
    Information Sciences

    Resolution principle based on lattice valued propositional logic LP( X
    Information Sciences Volume 130, Issues 1-4 December 2000 Pages 195-223 Yang Xu, Da Ruan, Etienne E. Kerre and Jun Liu Abstract In the present paper, resolution-based automated reasoning theory in an L X X X Abstract Full Text + Links PDF (205 K) ILI ... Information Sciences ILI ideals and prime LI ideals in lattice implication algebras Information Sciences Volume 155, Issues 1-2

    38. JICSLP'96 - Advance Program And Schedule
    1A Constraint logic Programming; 1B NonClassical logic Programming; 2A Implementation; 2B Deductive Database Updates; 3A Types and Modes
    http://www.informatik.uni-bonn.de/~jicslp96/program.html
    Back to the Conference Home Page End of this page
    JICSLP '96 - Advance Program
    • Schedule
      Schedule
      Sunday, September 1
      19:00 Welcome reception in the conference hotel (incl. early registration)
      Monday, September 2
      8:00 Registration 9:00 Opening session 9:30 Invited talk Ehud Shapiro: "Virtual Places: An Architecture for Live Interaction on the Internet" 10:30 Coffee break 11:00 Sessions 1 1A: Constraint Logic Programming Non-Classical Logic Programming 12:30 Lunch 14:00 Tutorial I. V. Ramakrishnan, K. Sagonas, T. Swift, D. S. Warren: "Principles, Practice and Applications of Tabled Logic Programming" 16:00 Coffee break 16:30 Sessions 2 2A: Implementation Deductive Database Updates evening: ``Weinprobe'' at a local vineyard (optional) and Prolog Programming Contest (to be decided)
      Tuesday, September 3
      9:00 Invited talk Michael Genesereth: -title to be announced- 10:00 Coffee break 10:30 Sessions 3 3A: Modes and Types Higher-Order LP 12:00 Lunch 13:30 Tutorial Z. Somogyi: "The Design and Implementation of Mercury" 15:30 Coffee break 16:00 Sessions 4 4A:

    39. Heinrich Herre's Homepage
    Special Issue of the Journal of Applied NonClassical logic 71-2 (1997); Ho Ngoc Duc Resource-Bounded Reasoning about Knowledge, Dissertation, 1998
    http://www.informatik.uni-leipzig.de/fk/pers/herre.html
    Heinrich Herre's Homepage
    Research Group Formal Concepts Research Group Ontologies in Medicine ( Onto-Med Institute of Informatics Institute for Medical Informatics, Statistics and Epidemiology ( IMISE University of Leipzig University of Leipzig Johannisgasse 26 Härtelstrasse 16-18 Leipzig 04107 Leipzig Germany
    Phone: Fax: E-mail: herre@informatik.uni-leipzig.de Web: www.informatik.uni-leipzig.de/fk/ Room: Johannisgasse 26 , Raum 3-32 Anfahrt zum IfI
    Sprechzeit: freitags, 16.00 - 17.00 Uhr
    Stellung
    Formale Konzepte am der
    Forschungsschwerpunkte
    Semantik von Logikprogrammen
    Multiagentensysteme
    Deduktionssysteme
    Nichtklassische Logiken
    Metatheorie formalisierter Theorien
    Publikationen der Arbeitsgruppe Auswahl
    1. Semantik von Logikprogrammen:
    • H. Herre: Negation and Constructivity in Logic Programming; Journal of New Generation Computer Systems , Heft 4 (1988),S.295-305
    • H. Herre: Das Inferenzproblem in der logischen Programmierung, in: (Hrsg. Grabowski,J.,K.P. Jantke, H. Thiele), Akademie-Verlag, Berlin 1989, S.161 - 187
    • H. Herre: Constructive Negation in Logic Programming

    40. PhysOrgForum Science, Physics And Technology Discussion Forums -> When Is A Logi
    nonclassical logic. The non-classical logic that Sikorski refers to are modal logics, which are also the logics of hypotheticals and counterfactuals.
    http://forum.physorg.com/index.php?showtopic=252

    41. The Language Of Science / Logic (Heinrich Wansing)
    There is a distinction between classical logic and nonclassical logic. In classical logic certain assumptions are made which are reasonable in several
    http://www.polimetrica.eu/site/?p=111

    42. Dimitar P. Guelev - Papers
    Journal of Applied Nonclassical logic, volume 14, issue 1-2, 2004, pp. 185-213. An extended abstract was presented at the Workshop on Interval Temporal
    http://www.math.bas.bg/~gelevdp/papers.htm
    Dimitar P. Guelev papers
    Journal papers Dimitar P. Guelev. A Syntactical Proof of the Canonical Reactivity Form for Past Linear Temporal Logic. Submitted Nan Zhang, Mark D. Ryan and Dimitar P. Guelev. Synthesising Verified Access Control Systems through Model Checking. Accepted by the Journal of Computer Security Dimitar P. Guelev. Probabilistic Interval Temporal Logic and Duration Calculus with Infinite Intervals: Complete Proof Systems. Accepted by Logical Methods in Computer Science Dimitar P. Guelev, Mark D. Ryan and Pierre-Yves Schobbens. Model-checking the Preservation of Temporal Properties upon Feature Integration. Software Tools for Technology Transfer, volume 9, issue 1, pp 53-62, 2007. A revised version of the paper presented at the CONCUR workshop Automated Verification of Critical Systems (AVoCS'04), London, September 2004 Dimitar P. Guelev and Dang Van Hung. On the Completeness and Decidability of Duration Calculus with Iteration.
    Theoretical Computer Science

    43. Help-File
    Creating SATURATE Input Files From (Non)Classical logic Formulae Otherwise, the translation of non-classical formulae into predicate logic induces a
    http://www.mpi-inf.mpg.de/SATURATE/doc/translate.html
    Creating SATURATE Input Files
    From (Non-)Classical Logic Formulae
    Introduction Getting Started Usage Theory ... Examples
    Introduction
    The purpose of this program is twofold: First, it provides us with a means to translate modal and intuitionistic formulae into classical first-order predicate logic, and, second, it generates the clause normal form of arbitrary first-order predicate logic formulae. It is meant to serve as a preprocessor for the SATURATE theorem prover.
    Getting started
    "translate" defines some logical operators as listed in the following table. Operator Semantics Associativity and logical and yfx or logical or yfx equivalent xfx implies xfy not fy dia modal diamond fy box modal box fy internal function yfx internal function xfx Moreover, the predicates "logic_list/1", "translate/0", "translate/6", and "make_file/4", are provided (see explanation below).
    Usage
    The predicate logic_list(X) shows which logics are currently available. The value of X might change in different versions of this translator. Quite typical is the following:
    I.e. this version allows us to create SATURATE files from (first-order) formulae of classical predicate logic, intuitionistic logic, and the modal logics K, KD, KD45, S4, S4.2, and S5 (this list might be extended, however).

    44. Bulletin Of Symbolic Logic
    It is designed to cover all areas within the purview of the ASL mathematical logic and its applications, philosophical and nonclassical logic and its
    http://www.aslonline.org/journals-bulletin.html
    Journals Journal of Symbolic Logic
    Bulletin of Symbolic Logic
    Review of Symbolic Logic

    Journal of Philosophical Logic

    ASL Reviews

    Subscriptions
    ...
    Back Volumes
    The Bulletin of Symbolic Logic
    was established in 1995 by the Association for Symbolic Logic
    to provide a journal of high standards that would be both accessible and of interest to as wide an audience as possible. It is designed to cover all areas within the purview of the ASL: mathematical logic and its applications, philosophical and non-classical logic and its applications, history and philosophy of logic, and philosophy and methodology of mathematics.
    The Bulletin of Symbolic Logic primarily publishes two types of papers:
    Articles
    present topics of broad interest in a way that is accessible to a large audience. They can be purely expository, survey, or historical articles or they may contain, in addition, new ideas or results or new approaches to old ones.
    Communications should be announcements of important new results and ideas in any aspect of logic; they may be short papers in their final form or preliminary announcements (extended abstracts, position papers) of longer, full papers that will be published elsewhere. In any case, they should include, in addition to a description of the new results or ideas, enough history, background, and explanation to make the significance of the work apparent to a wide audience.

    45. Pathways To Philosophical Logic And The Philosophy Of Logic
    The subject of nonclassical logic is now far too big to permit the writing of a comprehensive textbook, so I have had to place some restrictions on what is
    http://www.formalontology.it/pathways_logic.htm
    Home Site Map
    Pathways to Western Philosophy
    Philosophical Logic and Philosophy of Logic
    INTRODUCTORY READINGS Priest Graham. Logic: a very short introduction . Oxford: Oxford University Press 2000. From the Preface: "This book is an introduction to logic, as contemporary logicians now understand the subject. It does not attempt to be a textbook, however. There are numerous such books currently available. The point of this one is to explore the roots of logic, which sink deep into philosophy. Some format logic will be explained along the way. In each of the main chapters, I start by taking up some particular philosophical problem or logical puzzle. I then explain one approach to it. Often this is a fairly standard one; but in some of the areas there is no standard answer: logicians still disagree. In such cases, I have just chosen one that is interesting. Nearly all the approaches, whether standard or not, may be challenged. I finish each chapter with some problems for the approach that I have explained. Sometimes these problems are standard; sometimes they are not. Sometimes they may have easy answers; sometimes they may not. The aim is to challenge you to figure out what you make of the matter. Modern logic is a highly mathematical subject. I have tried to write the material in such a way as to avoid nearly all mathematics. The most that is required is a little high-school algebra in the last few chapters. It is true that you will need the determination to master some symbolism that may be new to you; but this is a lot less than is required to have a basic grasp of any new language. And the perspicuity that the symbolism gives to difficult questions makes any trouble one may have in mastering it well worth it. One warning, though: reading a book on logic or philosophy is not like reading a novel. There will be times when you will have to read slowly and carefully. Sometimes you may have to stop and think about things; and you should be prepared to go back and reread a paragraph if necessary.

    46. Abstracts Of Michael's Other Stuff
    We argue that both classical logic and nonclassical derivatives, though different in the details, are based on common grounds. This insight gives rise to
    http://web.inf.tu-dresden.de/~mit/publications/misc/ordered-abstracts.html
    Challenges for Action Theories: Solving the Ramification and Qualification Problem
    Michael Thielscher FILES: LNAI00.* Logic has been heralded as the basis for the next generation of computer systems. While logic and formal methods are indeed gaining grounds in many areas of computer science and artificial intelligence the expected revolution and breakthrough has not happened as yet. Notwithstanding the object oriented paradigm programming as well as processor design is still done in an imperative way which has far-reaching consequences for the quality of software and engineering products. A logic based approach to the design of computing systems would, undoubtedly, offer many advantages over the imperative paradigm most commonly applied so far for programming and hardware design and, consequently, logic, again and again, has been heralded as the basis for the next generation of computer systems. While logic and formal methods are indeed gaining ground in many areas of computer science and artificial intelligence, the expected revolution has not yet happened. In the eighties is was beginning to dawn on the logic community that for most applications logic, as used then, might lack a vital ingredience, which, on the other hand, is inherent in imperative languages and which no one wants to miss: a simple and natural way of describing action and change without facing inherent problems. In AI, these problems centered around what is called the frame problem. Fortunately, the frame problem has finally been solved in such a way that the drawback is disappearing.

    47. When Is A Logic A Quantum Logic?
    n\nThe nonclassical logic that Sikorski refers to are modal logics,\nwhich are also the logics of hypotheticals and counterfactuals.
    http://www.physicsforums.com/showthread.php?t=31276

    48. Professor D
    This paper is the first in a series in reformulating classical and non—classical logic in a goal directed way. It initiates the programme, continued in
    http://www.dcs.kcl.ac.uk/staff/dg/pubs/all.html
    Professor D. M. Gabbay, FRSC
    Publications List
    th November 2004
    Published or Accepted for Publication
    (Books are indicated in Larger Bold Italic font) Investigations in Modal and Tense Logics with Applications Synthese volume 92, D. Reidel, 1976. 321 pp, The main research thrust of this monograph is to present comprehensive methods for proving decidability and undecidability for modal and temporal systems. General theorems are proved on the one hand and new classification and semantical characterisations are given to many logics in order to show that they satisfy these general theorems. Counter examples are constructed to show the limitations of various methods. The book also lays the mathematical and conceptual foundations for non—classical logics. Semantical Investigations in Heyting's Intuitionistic Logic Synthese volume 148. D. Reidel, 1981. 300 pp, This monograph uses semantical methods to study intuitionistic and various neighbouring systems. It develops their mathematical model theory and finite model property and studies their proof theory and interpolation properties. It further applies the methods of book 1, to obtain decidability and undecidability results for intuitionistic algebraic theories. Both research monographs are partially based on, and extend, some of the related research papers. Being typed – December 2001 Semantic Proof of the Craig Interpolation Theorem for Intuitionistic Logic and Extensions, Part I

    49. Philosophy: PI31007: Logic And Paradox (University Of Dundee)
    Appreciation of reasons for introducing many valued, modal and nonclassical logics and familiarity with some examples of many-valued and modal logic.
    http://www.dundee.ac.uk/philosophy/current/undergrad/module/PI31007_LogicParadox
    access keys text only
    Current Undergraduate Students
    MODULE BOOKLET (2007/8)
    PI31007: Logic and Paradox
    Honours Philosophy, Level 3
    Module Organiser: Roger Young
    Room Number: 3.05
    Click here for Email Address
    For general information about courses please consult the 3rd Year and Honours Booklet and the Philosophy Handbook . These contain information about the marking scheme we use, about administrative structure and liaison procedures, about contacting staff and much else.
    Contents
  • Formal Module Specification Content of the Course Week-by-Week Course Requirements
  • Formal Module Specification
    Reference Number Title Logic and Paradox Credit Rating H (30 Credits) College Responsible Arts and Social Sciences Aims To provide students with an understanding of elementary formal logic, both propositional and predicate, by the use of a tableau system. To introduce students to some developments beyond elementary formal logic. To show students the relevance of formal logic to philosophy. To provide students with sufficient understanding of formal logic for participation in postgraduate programmes*. Learning Outcomes Understanding of formalisation and of considerations and problems concerning the expression of natural language and thought in formal languages.

    50. Stephen Read's Articles
    Truthmakers, Disjunction and Necessity , in Essays on Nonclassical logic , ed. H. Wansing, World Scientific 2001, pp. 91-110. Self-Reference and Validity
    http://www.st-andrews.ac.uk/~slr/read_papers.html
    Stephen Read's Papers
    Forthcoming Papers
    • (with A. Aberdein) "The Philosophy of Alternative Logics", forthcoming in The Development of Modern Logic , ed. L. Haaparanta, Oxford UP.
    • "Bradwardine's Revenge", forthcoming in Revenge of the Liar , ed. J.C. Beall, Oxford UP.
    • "The Truth-Schema and the Liar" and "Further Thoughts on the Truth-scheme and the Liar", forthcoming in Essays on the Liar , ed. S. Rahman, T. Tulenheimo and E. Genot, Springer Verlag. (The first article is the subject of discussion by the other contributions to the volume, and the second is my response to them.)
    Published Papers
    • "Farewell to Opacity", in Current Topics in Logic and Analytic Philosophy
    • "William Ockham's The Sum of Logic " (review article), Topoi
    • "Symmetry and paradox", History and Philosophy of Logic
    • " Monism: the one true logic ", in A Logical Approach to Philosophy: Essays in Honour of Graham Solomon , ed. D. DeVidi and T. Kenyon, Springer 2006, 193-209.
    • "The Unity of the Fact”

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