1. Logic - Mathematical Logic A selection of articles related to Logic Mathematical Logic Logic - Mathematical logic A Wisdom Archive on Logic - Mathematical logic http://www.experiencefestival.com/logic_-_mathematical_logic

2. Predicate Logic. Mathematical Logic. Part 3. Extended translation of V.Detlovs, Elements of Mathematical Logic, Riga, University of Latvia, 1964, 252 pp. http://www.ltn.lv/~podnieks/mlog/ml3.htm

predicate logic, predicate calculus, intuitionistic, predicate, embedding, minimal, constructive, calculus, theorem, quantifier, operation, intuitionist, constructive embedding, replacement, substitution Back to title page Left Adjust your browser window. In this book, predicate language is used as a synonym of first order language constructive logic is used as a synonym of intuitionistic logic Right 3. Predicate Logic Proving formulas containing quantifiers and implication only Formulas containing negations and a single quantifier Proving formulas containing conjunction and disjunction Replacement theorems ... Constructive embedding 3.1. Proving Formulas Containing Quantifiers and Implication only Theorem 3.1.0. [L , L , L , L Indeed, AxB(x) Hypothesis. Axiom L B(x) By MP. Axiom L ExB(x) By MP. Thus, by [L , L , MP] Deduction Theorem 1, there is a proof of [L , L , L , L Theorem 3.1.1. a) [L , L , L , L b) [L , L , L -L Let us prove (a). Hypothesis. AxB Hypothesis. Axiom L From (1) and (3), by MP.

3. Brain Teasers & Math Puzzles : Puzzle & Brain Teaser Collection Interactive logical and mathematical puzzles with feedback and detailed solutions. http://www.syvum.com/teasers/

4. Symbolic Logic, Mathematical Logic, Formal Logic: Information From Answers.com symbolic logic , mathematical logic , formal logic any logical system that abstracts the form of statements away from their content in order to http://www.answers.com/topic/symbolic-logic-mathematical-logic-formal-logic

5. Logic: Encyclopedia II - Logic - Topics In Logic Logic Mathematical logic Main article Mathematical logic. Mathematical logic really refers to two distinct areas of research the first is the application of the techniques of http://www.experiencefestival.com/a/Logic_-_Topics_in_logic/id/1400615

6. Dana Scott's Home Page Carnegie Mellon University - Model theory, set theory, foundations of logic and mathematics, symbolic mathematical computation. http://www.cs.cmu.edu/~scott/

Dana S. Scott Hillman University Professor of Computer Science, Philosophy, and Mathematical Logic (Emeritus) Mailing Address: Prof. Dana S. Scott Office : N/A Computer Science Department Wean Hall Phone Carnegie Mellon University Pittsburgh, PA 15213-3890 , USA FAX : (412) 268-5576 (In CS Main Office) Home Address: 1149 Shattuck Ave. Phone Berkeley, CA 94707, USA Secretary: Charlotte Yano (WeH 7121) Phone Personal: Career Highlights Ph.D. Students Current Research Teaching: E-MAIL: dana.scott@cs.cmu.edu yano@cs.cmu.edu Last revised: 12 October

7. Logic - Mathematical discussion of any area of the nature of intellectual activity is a difficult task, on the field at thecenter of human intelligence, especially in math. The nature of human http://www.docstoc.com/docs/49374489/Logic---Mathematical

8. Mathematical Logic | Tutorvista.com Introduction. The study of logic through the use of mathematical symbols is called Mathematical Logic. Mathematical logic is also known as Symbolic Logic or Boolean Logic. http://www.tutorvista.com/content/math/boolean-algebra/mathematical-logic/mathem

9. Pen Maddy At The University Of California - Irvine University of California Irvine - Philosophy of logic and mathematics. http://www.lps.uci.edu/home/fac-staff/faculty/maddy/

Penelope Maddy UCI Distinguished Professor of and of Mathematics Research Interests: A few recent seminars: Skepticism, naturalism and therapy Fall 2007/Winter 2008 Philosophy of Mathematics Fall 2006/Winter 2007 Philosophy of Logic Fall 2005/Winter 2006 Word - World Connections Fall 2004/Winter 2005 ... Fictionalism Spring 2001 P. Maddy's Selected Bibliography: 'Believing the axioms, Part I' , and 'Believing the axioms, Part II' Journal of Symbolic Logic (For a copy with corrections, click here Realism in Mathematics , Oxford 1990. Naturalism in Mathematics , Oxford 1997. Naturalism and the a priori , in P. Boghossian and C. Peacocke, eds., New Essays on the A Priori, Oxford, 2000. 'Logic and the discursive intellect' Notre Dame Journal of Formal Logic Naturalism: friends and foes , in J. Tomberlin, ed., Philosophical Perspectives Metaphysics 2001 , Blackwell 2001. 'Some naturalistic reflections on set theoretic method', Topoi A naturalistic look at logic Proceedings of the APA , November 2002. Three forms of naturalism ', in S. Shapiro, ed.

10. Logic - Wikipedia, The Free Encyclopedia symbolic abstractions that capture the formal features of logical inference. Symbolic logic is often divided into two branches propositional logic and predicate logic. Mathematical http://en.wikipedia.org/wiki/Logic

Logic From Wikipedia, the free encyclopedia Jump to: navigation search For other uses, see Logic (disambiguation) Philosophy Plato Confucius ... Ethics Logic Metaphysics Social philosophy Political philosophy Eras ... e Logic (from the Greek logikē) is the study of arguments Logic is used in most intellectual activities, but is studied primarily in the disciplines of philosophy mathematics , and computer science . Logic examines general forms which arguments may take, which forms are valid, and which are fallacies. It is one kind of critical thinking . In philosophy, the study of logic figures in most major areas of focus: epistemology, ethics, metaphysics. In mathematics, it is the study of valid inferences within some formal language Logic has origins in several ancient civilizations, including ancient India China and Greece . Logic was established as a discipline by Aristotle , who established its fundamental place in philosophy. The study of logic was part of the classical trivium Averroes defined logic as "the tool for distinguishing between the true and the false;" Richard Whately , "the Science, as well as the Art, of reasoning;" and

11. Review Of D. M. Gabbay Et Al., Temporal Logic: Mathematical Foundations And Comp Review of D. M. Gabbay et al., Temporal Logic Mathematical Foundations and Computational Aspects http://wotan.liu.edu/docis/dbl/ljigpl/1997_5_6__RODMGE.htm

The Digital Librarian's Digital Library search D O CIS  Do cuments in  C omputing and I nformation  S cience Home Journals and Conference Proceedings Logic Journal of the IGPL Review of D. M. Gabbay et al., Temporal Logic: Mathematical Foundations and Computational Aspects Antony Galton Journal Title: Logic Journal of the IGPL Date: 1997 Volume: 5 Issue: 6 For further information about this item go to: http://www3.oup.co.uk/igpl/Volume_05/Issue_06/#galton This data comes from DBLP This page is maintained by Angela Cornwell and Thomas Krichel It was last updated on 2006-04-12

12. Home Page Of Gregory McColm Leads to material on mathematical research - games and logic and mathematics education. http://www.math.usf.edu/~mccolm/index.html

Welcome to the Lair of Gregory McColm Dept. of Mathematics University of South Florida 4202 E. Fowler Ave., PHY114, Tampa, FL 33620 Office: PHY342(338); phone (813) 974-9550 mccolm@usf.edu Each semester, I am the organizer for the Discrete Mathematics Seminar , which is also a section of the Graduate Seminar (MAT 6939) open to graduate students for three hours credit (see me for details). Each session, speakers speak about mathematical topics ranging from the theory of computation to algebraic topology, from mathematical logic to graph theory; for a sample, see the announcement page for fall . Starting September 13, we meet every Monday from 3:05 to 3:55 in LIF263. This fall, I am teaching Vector Calculus , which is basically the calculus you need for getting started in physics or engineering. Next spring, there will be several courses of interest to students interested in Reticular geometry For graduate students of mathematics: Mile Krajcevski will be teaching a course on Geometric Group Theory , which involves some of the algebraic foundations of reticular geometry. The prerequisite is the graduate Algebra I course.

13. Elementary Introduction Logic Mathematical Mathematics Series Elementary Introduction Logic Mathematical Mathematics Series Teaching Mathematics and Elementary Schools http://slo21.morgan-i.com/elementaryintroductionlogicmathematicalmathematicsseri

Elementary Introduction Logic Mathematical Mathematics Series Mathematical logic Mathematical logic is a discipline within mathematics, studying formal systems in relation to the way they encode intuitive concepts of proof and computation as part of the foundations of mathematics. Mathematical logic glossary - This is a glossary of some terms used in the branch of mathematics known as mathematical logic. Principles of Theoretical Logic - Principles of Theoretical Logic is the title of the 1950 American translation of the 1938 second edition of David Hilbert's and Wilhelm Ackermann's classic text Grundzüge der theoretischen Logik, on elementary mathematical logic. The 1928 first edition thereof is considered the first elementary text clearly grounded in the formalism now known as first order logic (FOL). Categorical logic - Categorical logic is a branch of category theory within mathematics , adjacent to mathematical logic but in fact more notable for its connections to theoretical computer science. In broad terms, it is a theory about the transition from a type theory, understood to be within an intuitionistic logic or constructive mathematics setting, to a category, by means of a translation that respects both the syntax and the intended computational meaning of type-theoretic constructions. First Course in Mathematical Logic by Patrick Suppes

14. Logic - Definition Main article Mathematical logic. Mathematical logic really refers to two distinct areas of research the first is the application of the techniques of formal logic to mathematics http://www.wordiq.com/definition/Logic

Logic - Definition Logic (from ancient Greek arguments formal relations between the newly produced assertions and the previously established ones, where "formal" means that the relations are independent of the assertions themselves. Just as important is the investigation of validity of inference, including various possible definitions of validity and practical conditions for its determination. It is thus seen that logic plays an important role in epistemology in that it provides a mechanism for extension of knowledge cognitive psychology Traditionally, logic is studied as a branch of philosophy . Since the mid- logic has been commonly studied in mathematics , and, even more recently, in computer science . As a science , logic investigates and classifies the structure of statements and arguments and devises schemata by which these are codified . The scope of logic can therefore be very large, including reasoning about probability and causality . Also studied in logic are the structure of fallacious arguments and paradoxes . The ancient Greeks divided dialectic into logic and rhetoric . Rhetoric, concerned with

15. ASYNCHRONOUS LOGIC And NEW ALGEBRA FOR DIGITAL CIRCUITS Asynchronous sequential logic and its mathematical instruments venjunction and sequention. http://asynlog.balticom.lv/Content/EN/about.html

ASYNCHRONOUS LOGIC and NEW ALGEBRA FOR DIGITAL CIRCUITS RU EN SYNCHRONOUS SEQUENTIAL LOGIC ASYNCHRONOUS SEQUENTIAL LOGIC COMBINATIONAL LOGIC FINITE STATE MACHINE VENJUNCTION and SEQUENTION BOOLEAN ALGEBRA Investigation made by Vadim O. VASYUKEVICH, doctor of computer science, leading researcher of Institute of Electronics and Computer Science, Riga, Latvia. vadim.v@balticom.lv vadimv@edi.lv © 2009 Vadim O. VASYUKEVICH.

16. Topics In Philosophy: Logic, Mathematical Research Topics in Philosophy Logic, Mathematical Search for Books http://www.erraticimpact.com/philosophy/topics/topics_details.cfm?ID=860

17. 24.244 Modal Logic Mathematical Induction 24.244 Modal Logic, Fall 2009 Prof. Robert Stalnaker Lecture Notes 7 Mathematical Induction Before getting back to the completeness proof, I want to make some general comments http://ocw.mit.edu/courses/linguistics-and-philosophy/24-244-modal-logic-fall-20

18. Life Web Directory- Science > Logic, Mathematical Life web directory is a general web directory dedicated to build a reliable and nice directory http://lifewebdirectory.com/Science/Logic__Mathematical/

Submit Link Latest Links Latest Articles Submit Article ... Contact Logic, Mathematical Life Web Directory Science Categories Arts Business Computers Games ... Web Directories Partners BRAVE Directory Statistics Active Links: 1596 Pending Links: 8 Todays Links: 8 Total Articles: 105 Total Categories: 16 Sub Categories: 1311 Logic, Mathematical No Links In This Category Add A Link Today. No Articles In This Category Add An Article Today. Latest Articles Soundtrack Melodies - Things To Remember The article is dedicated to the role of music in our life. The emphasis is placed on the music used in movies to underline certain moments known as soundtrack. Interesting Info About Puppets The article is dedicated to the description of puppet theatre, its development and role in contemporary art. The emphasis is placed on the diversity of types of puppets. All About Weather Forecasts The article is dedicated to the description of the procedure of making weather forecasts. Get to know the world from the point of view of meteorologist. Music Downloads - Cognitive Information The article is dedicated to the description of the procedure of music downloading from the Internet. Get to know how to download your favorite songs for free.

19. Mathematical Logic | Bukisa Topics Mathematical Logic Mathematical logic is a subfield of mathematics with close connections to computer science and philosophical logic. The field includes both http://www.bukisa.com/topics/mathematical-logic

20. Orbital Library A class library providing object-oriented representations and algorithms for logic, mathematics and artificial intelligence. It comprises theorem proving, computer algebra, search and planning, as well as learning algorithms. http://www.functologic.com/orbital/

Home Publications Research Tools ... A. Platzer Orbital library Download KeYmaera AMC SAAtRe ... Games Overview The Orbital library is a Java class library providing object-oriented representations and algorithms for logic, mathematics, and computer science. This Java library provides computer algebra, numerical algorithms, theorem proving, search and planning etc. Generally speaking, the conceptual idea behind the Orbital library is to provide extensional services and components for Java, which surround the heart of many scientific applications. Hence the name Orbital library. Orbital library is designed with the goals of flexibility, conceptual simplicity and general applicability. You can get this Java library and its documentation here: Download Orbital library and documentation API documentation (online version) Summary of features Review of the Orbital library Recommended reading News 06/14/2009: A publication [ ] indicates in real world benchmarks that the functionality in the Orbital library that has been used in these benchmarks is competitive in performance to other tools Statistics The Orbital library provides you with access to mathematical, algorithmic, and logical functionality.

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