Sachgebiete Der AMS-Klassifikation: 00-09 03C52 Properties of classes of models 03C55 Settheoretic model theory 03C57 Recursion-theoretic model theory, See also {03D45} 03C60 model-theoretic http://www.math.fu-berlin.de/litrech/Class/ams-00-09.html
Untitled Document Applied to the basic Settheoretic framework of model theory, this opens up new possibilities for overcoming the expressive awkwardness which has long been http://www.ihmc.us:16080/users/phayes/CL/SCL-guide.html
Extractions: SCL is a simplified version of the Common Logic project , which in turn is a proposal to define a 'standard' uniform notation for first-order logic suitable for use as a common notation for a variety of ontology efforts, to facilitate information exchange and interoperability. CL began as an outgrowth of the now somewhat venerable KIF effort, differing from KIF in several respects: a simplified syntax; a more sophisticated semantics; and, by differentiating abstract syntax from concrete syntaxes, providing for a wider range of interoperabilty by linking a variety of existing surface syntactic standards, in particular Concept Graphs. SCL attempts to retain these advantages of CL while being somewhat less ambitious, and is consciously intended to also provide a logical notation oriented towards the needs of the emerging Semantic Web effort. In many ways, SCL is nearer in scope to the original KIF. The 'core' of SCL is presented as an abstract syntax of a rather general logical language with an attached model theory. This core provides the basis for several other aspects of the proposal. Special cases of the language, which roughly correspond to several known use cases of familiar logical notations, are defined by restricting the syntax in various ways. Syntactically defined sublanguages are referred to as
MSC 2000 : CC = Theoretic 03C25 modeltheoretic forcing; 03C55 Set-theoretic model theory; 03C57 Effective and recursion-theoretic model theory See also 03D45 http://math-doc.ujf-grenoble.fr/cgi-bin/msc2000.py?L=en&T=Q&C=msc2000&CC=Theoret
Logic In Leeds - Postgraduate Opportunities Truss works also on certain Settheoretic topics, usually related to model theory and permutation groups via questions about the axiom of choice. http://www.maths.leeds.ac.uk/pure/logic/postgrad.html
Extractions: Homepage Please also see the School of Maths Postgraduate Brochure , which has far more general information, and puts logic in the context of the other research groups. The Department of Pure Mathematics forms part of the School of Mathematics, the other departments being those of Applied Mathematical Studies and Statistics. The department has 20 academic staff, as well as a number of postdoctoral research fellows and research assistants. The Department was rated 5 in both of the last two Research Assessment Exercises. There are usually about 30 research students. As well as the weekly seminars which are mentioned below, there is a less specialised departmental Colloquium which meets once or twice a term. There is also a graduate lecture course each year in each of Mathematical Logic, Algebra, Analysis and Differential Geometry. The aim of the Department of Pure Mathematics at Leeds for many years has been to maintain and develop research groups of international standing in four of the most vital and central areas of mathematics: mathematical logic, algebra, analysis and differential geometry. In each of these subjects there is plenty of lively research activity at Leeds. The department is one of the largest and most active centres for pure mathematics research in the UK, and is an ideal place in which to obtain postgraduate training.
[sc34wg3] TR: Comment - RDFTM: Survey Of Interoperability Proposals model theory assumes that the language refers to a world , things in a set IR called the universe but the use of Set-theoretic language here is not http://www.isotopicmaps.org/pipermail/sc34wg3/2005-March/002587.html
Extractions: Thu, 10 Mar 2005 14:35:34 +0000 * Robert Barta Clearly that's good, but it's not what Patel-Schneider is asking for, if I understand him correctly. He wants a *logic* model, not just a regard. http://www.w3.org/TR/rdf-mt/#prelim ...................................................................... Murray Altheim http://kmi.open.ac.uk/people/murray/ Knowledge Media Institute The Open University, Milton Keynes, Bucks, MK7 6AA, UK . Sometimes things are so obvious that they merely need pointing out: LATEST NEWS : MAJORITY OF TEENS DONT WANT TO HAVE SEX Abstinence Clearinghouse http://www.abstinence.net/library/index.php?entryid=1808 Previous message: [sc34wg3] TR: comment - RDFTM: Survey of Interoperability Proposals Next message: [sc34wg3] TR: comment - RDFTM: Survey of Interoperability Proposals Messages sorted by: [ date ] [ thread ] [ subject ] [ author ]
Model-Theoretic Semantics For The Web If two expressions are mapped to identical Settheoretic constructs, then so far as the model theory is concerned, these two expressions mean the same thing http://www2003.org/cdrom/papers/refereed/p277/p277-farrugia.html
Extractions: ABSTRACT Model-theoretic semantics is a formal account of the interpretations of legitimate expressions of a language. It is increasingly being used to provide Web markup languages with well-defined semantics. But a discussion of its roles and limitations for the Semantic Web has not yet received a coherent and detailed treatment. This paper takes the first steps towards such a treatment. The major result is an introductory explication of key ideas that are usually only implicit in existing accounts of semantics for the Web. References to more detailed accounts of these ideas are also provided. The benefit of this explication is increased awareness among Web users of some important issues inherent in using model-theoretic semantics for Web markup languages. Categories and Subject Descriptors F.4.4 [
Pure Type Systems A model of such a set theory will provide natural models for the pure type very simple using a plain old Settheoretic model (but I m just guessing! http://www.rbjones.com/rbjpub/logic/cl/tlc004.htm
@Article{Alagi02, Author = {Suad Alagi}, Title = {Institutions A major challenge in developing such a unified model theory is in the .. the same operations by means of straightforward Settheoretic constructions; http://www.informatik.uni-bremen.de/flirts/ModelTheory.bib
03Cxx 03C52 Properties of classes of models; 03C55 Settheoretic model theory; 03C57 Recursion-theoretic model theory, See also {03D45}; 03C60 model-theoretic http://www.ma.hw.ac.uk/~chris/MR/03Cxx.html
MSC 2000 : CC = Model 03C52 Properties of classes of models; 03C55 Settheoretic model theory; 03C57 Effective and recursion-theoretic model theory See also 03D45 http://portail.mathdoc.fr/cgi-bin/msc2000.py?L=fr&T=Q&C=msc2000&CC=Model
Naive Set Theory Is Innocent! | Mind | Find Articles At BNET.com Naive set theory is innocent! from Mind in Array provided free by as saying that if Phi is false, it is false in a Settheoretic model, hence if ? http://findarticles.com/p/articles/mi_m2346/is_n428_v107/ai_21248796/pg_5
Extractions: @import url(/css/us/pub_page_article.css); @import url(/css/us/template_503.css); @import url(/css/us/tabs_503.css); @import url(/css/us/fa_bnet.css); @import url(http://i.bnet.com/css/fa.css); BNET Research Center Find 10 Million Articles BNET.com Advanced Search Find in free and premium articles free articles only premium articles only this publication Arts Autos Business Health News Reference Sports Technology all Arts Autos Business ... Technology 4. The Kreisel argument and reflection principles It is sometimes argued that this expressive limitation is not a serious problem for our account of logical consequence, at least, since we can prove completeness for s, i.e. logical consequence set-theoretically defined. Hence if X S A, X A and so, granted the intuitive soundness of the system, we know that X k A: A really does follow from X. In the converse direction we can argue that any set-theoretic interpretation is a genuine interpretation, so that if there is no counterexample to X entails A then, in particular, there is no set-theoretic counterexample, that is if X A then X s A. Hence putting the two together, X A iff X s A, and we can explain the murky k in terms of the well-understood s.(10)
System-State Model Theory And Implementation. The SSM is presented first as a Settheoretic formulation involving (1) has been completed in Fortran 4 and for the IBM 360. (Author)(*model theory. http://stinet.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=AD0
Research Groups DLHFC FP6 Marie Curie Training Network in model theory and its Applications. . the power of the Settheoretic axioms by measuring their consistency strength. http://www.ub.es/logica/grup/investigacioneseng.htm
Extractions: Consolidated Research Groups (DURSI) Group: Research Group in Logic (DURSI, 2005SGR-00738) Renewal: Scientist in charge: Enrique Casanovas Topics: Boolean algebras; model theory: stability and simple theories, model-theoretic algebra, and automorphisms groups; axiomatic set theory: descriptive set theory, forcing, infinitary combinatorics and applications to analysis; foundations of mathematics; philosophy of logic and mathematics. Group: Research Group on Non-classical Logics (DURSI, 2005SGR-00083) Renewal: Scientist in charge: Ramon Jansana Topics: Modal logic, Intuitionistic logic, Substructural logics, Many-valued logics, Algebraic Logic, Abstract Algebraic Logic. Group: LOGOS . Logic Language and Cognition Research Group. (2005 SGR00734) Renewal: Coordinator: Topics: Theory of reference; relations between semantics and pragmatics; non truth-conditional aspects of meaning; vagueness; relativism; knowledge of meaning; mind and language; conceptual aspects of cognitive neuroscience; the nature of conscious experience; theories of truth; the notion of logical consequence; essence and modality; scientific concepts and scientific models; theories of concepts and the a priori; externalism; epistemic justification. European Research Projects Project: Mindreading and the emergence of communication: the case of reference
03Cxx 03C52 Properties of classes of models 03C55 Settheoretic model theory 03C57 Effective and recursion-theoretic model theory See also 03D45 03C60 http://www.math.ethz.ch/EMIS/MSC2000/03Cxx.html
Extractions: Model theory 03C05 Equational classes, universal algebra [See also ] 03C07 Basic properties of first-order languages and structures 03C10 Quantifier elimination, model completeness and related topics 03C13 Finite structures [See also ] 03C15 Denumerable structures 03C20 Ultraproducts and related constructions 03C25 Model-theoretic forcing 03C30 Other model constructions 03C35 Categoricity and completeness of theories 03C40 Interpolation, preservation, definability 03C45 Classification theory, stability and related concepts 03C50 Models with special properties (saturated, rigid, etc.) 03C52 Properties of classes of models 03C55 Set-theoretic model theory 03C57 Effective and recursion-theoretic model theory [See also ] 03C60 Model-theoretic algebra [See also ] 03C62 Models of arithmetic and set theory [See also ] 03C64 Model theory of ordered structures; o-minimality 03C65 Models of other mathematical theories 03C68 Other classical first-order model theory 03C70 Logic on admissible sets 03C75 Other infinitary logic 03C80 Logic with extra quantifiers and operators [See also ] 03C85 Second- and higher-order model theory 03C90 Nonclassical models (Boolean-valued, sheaf, etc.) 03C95 Abstract model theory 03C98 Applications of model theory [See also
Springer Online Reference Works The existence of a Settheoretic model can be used for a formal proof of the consistency of the simple theory of types in the framework of a sufficiently http://eom.springer.de/t/t094650.htm
Extractions: Types, theory of A formal first-order theory (cf. Formal system denote the expression in quotation marks. Secondly, there is the decomposition of the object domain into strata, or types, forming a hierarchy of types (not necessarily linear, and not necessarily countable), and the presence of type-theoretic comprehension axioms (or their equivalents). If variables running through the objects of type are denoted by then type-theoretical comprehension axioms have the form where is a formula relative to the system with free variables , and the type of the variable must belong (this is the main point of type-theoretic systems) to a higher level in the hierarchy of types than the types . The type is usually uniquely determined by the types . It is denoted by . Thus, in a type-theoretic system a property and objects Type-theoretic systems were introduced by B. Russell in connection with his discovery of a contradiction in set theory. Putting a set and its elements at different levels leads to a point of view regarding antinomies (cf. Antinomy ) according to which the appearance of a contradiction is explained by the non-predicative nature of some set-theoretical definitions. Here a definition of some object is called non-predicative if the object itself takes part in the definition, or, what amounts to the same thing, if the definition makes no sense without assuming in advance the existence of the object. Thus, in
Extractions: Why Essences are Essential in the Psychology of Concepts Cognition Building object categories in developmental time. Edited by L. Gershkoff-Stowe, and D. Rakison. Psychological Review Folk Biology and the Anthropology of Science: Cognitive Universals and Cultural Particulars Behavioral and Brain Sciences 21: 547-569, Cambridge University Press. PubMed abstract: Bishop, C. M. (1995). Neural Networks for Pattern Recognition. Oxford University Press. Sections 1.0, 1.1 (pages 1-4) 1.8-9 (pages 17-26), 2.0-3 (pages 33-45), 2.5 (pages 49-59). Charniak, E. (1991). "Bayesian Networks without Tears." AI Magazine. Gelman, S. (2003). The Essential Child. New York: Oxford University Press. Chapter 1 (pages 3-18) and Chapter 3 (pages 60-88). Learning, Prediction and Causal Bayes Nets Trends in Cognitive Science PubMed abstract: Goodman Fact, Fiction, and Forecast . Cambridge, MA: Harvard University Press, Chapter 3. The Cognitive Basis of Science.
Perspectives In Logic - List Of Books Finite model theory has its origin in classical model theory, This book deals with Settheoretic independence results (independence from the usual http://www.aslonline.org/books-perspectives-list.html
Extractions: Member Discounts Perspectives in Mathematical Logic This book series is now being published by the Association for Symbolic Logic on its own; the previous collaboration with Springer-Verlag came to an end on April 30, 2001. Thanks to the generosity of Springer-Verlag, ASL will distribute the available stock of certain books in the series to the logic community at a low price (as has been done with the existing stock of books in the Lecture Notes in Logic ). Some books in the series will continue to be made available by Springer-Verlag and others will be reprinted by ASL. At the moment (October 2001) the situation is in flux and plans for the future are being made. Inquiries may be made via the ASL business office : Association for Symbolic Logic
