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Topic: Symbolic logic


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  Mathematical logic - Wikipedia, the free encyclopedia
Earlier appellations were symbolic logic (as opposed to philosophical logic); and metamathematics, which is now restricted as a term to some aspects of proof theory.
In essentials, it is still the logic of Aristotle, but from the point of view of notation it is written as a branch of abstract algebra.
Attempts to treat the operations of formal logic in a symbolic or algebraic way were made by some of the more philosophical mathematicians, such as Leibniz and Lambert; but their labors remained little known and isolated.
en.wikipedia.org /wiki/Symbolic_logic   (1033 words)

  
 Symbolic logic   (Site not responding. Last check: 2007-11-07)
ASL Typesetting Office TeX files in the style used by the publications of the Association for Symbolic Logic, including The Journal of Symbolic Logic, The Bulletin of Symbolic Logic and the Lecture Notes in Logic.
Journal of Symbolic Logic Official organ of the Association of Symbolic Logic.
Logic Colloquium '96 European Summer Meeting of the Association for Symbolic Logic.
www.serebella.com /encyclopedia/article-Symbolic_logic.html   (405 words)

  
 Journal of Symbolic Logic
The Journal of Symbolic Logic was founded in 1936 and it has become the leading research journal in the field.
The Journal is distributed with The Bulletin of Symbolic Logic.
The Journal and The Bulletin are the official organs of the Association for Symbolic Logic, an international organization for supporting research in symbolic logic and furthering the exchange of ideas among mathematicians, philosophers, computer scientists, linguists, and others interested in this field.
www.aslonline.org /journals-journal.html   (225 words)

  
 PHL 312 Symbolic Logic
This course is a study of the formal analysis of reasoning employing the state-of-the-art tools of modern symbolic logic.
Typical tests will thus include questions requiring you to translate English-language sentences into the language of symbolic logic, demonstrate the invalidity of an argument by constructing a counterexample to it, and demonstrate the validity of an argument by constructing a formal proof of it.
Logic is not a subject that lends itself to discussion to the same extent that most other topics of philosophy courses do.
puffin.creighton.edu /phil/Graham/phl312-98f.htm   (2171 words)

  
 symbolic logic on Encyclopedia.com
or mathematical logic, formalized system of deductive logic, employing abstract symbols for the various aspects of natural language.
Symbolic logic draws on the concepts and techniques of mathematics, notably set theory, and in turn has contributed to the development of the foundations of mathematics.
Symbolic logic dates from the work of Augustus De Morgan and George Boole in the mid-19th cent.
www.encyclopedia.com /html/s1/symbolic.asp   (332 words)

  
 Catalogue Borgers -- Archives Henri Poincaré
BETH, Ewert W., "Hundred years of symbolic logic: a retrospect on the occasion of the Boole de Morgan centenary", Dialectica, vol 1, 1947, pp 333-346.
CHURCH, A., 1976, "Comparison of Russell's Resolution of the Semantical Antinomies with that of Tarski", The Journal of Symbolic Logic, 41, 747-760.
CURRY, H.B., 1931 (reçu en 1930, présenté en 1929), "The Universal Quantifier in Combinatory Logic", Annals of Mathematics, 32, 154-180.
www.univ-nancy2.fr /poincare/chp/bibborgers.html   (13038 words)

  
 Symbolic Logic: An Introduction to its Methods and Meaning
The intent of the course is to introduce the ways abstract symbolic structures may be used to analyze the logical forms that constitute and are woven into deductive reasoning.
The study of these structures is important for exploring the Anglo-American analytic philosophical tradition as well as a range of diverse disciplines that form significant parts of the contemporary intellectual landscape such as the foundations of mathematics, computer science, and linguistics.
A number of foundational topics of 20th century logic will be briefly considered that include set theory, Russell's paradox and the main ideas of Gödel's theorems and the associated philosophical issue of whether the procedures of symbolic logic when computerized can capture the full range of human reasoning.
www2.bc.edu /~anderso/courses/sl.html   (424 words)

  
 Symbolic Logic: lessons on negation, conjunction, disjunction, conditional, compound, biconditional, equivalence, ...
The goal of this unit is to teach concepts in symbolic logic including sentences and statements, logical connectors, conditional and biconditional statements, and equivalence and tautologies.
To list a compound statement in symbolic form with the connectors with the connectors not, and, or, and if-then.
To identify the hypothesis and the conclusion of a biconditional.
www.mathgoodies.com /lessons/toc_vol9.html   (469 words)

  
 symbolic logic. The Columbia Encyclopedia, Sixth Edition. 2001-05   (Site not responding. Last check: 2007-11-07)
The first part of symbolic logic is known as truth-functional analysis, the propositional calculus, or the sentential calculus; it deals with statements that can be assigned truth values (true or false).
Combinations of these statements are called truth functions, and their truth values can be determined from the truth values of their components.
Symbolic logic has been extended to a description and analysis of the foundations of mathematics, particularly number theory.
www.bartleby.com /65/sy/symbolic.html   (732 words)

  
 Philosophy 230: Symbolic Logic   (Site not responding. Last check: 2007-11-07)
In this course we will cover a natural deduction system of elementary symbolic logic (first-order logic), including both sentential logic and predicate logic with identity.
Logic and Philosophy: A Modern Introduction, Paul Tidman and Howard Kahane, 8th edition.
Learning symbolic logic is like learning mathematics or a foreign language because it requires daily practice.
www.csun.edu /~lmchenry/SymLogic.syl.htm   (237 words)

  
 Symbolic Logic: An Introduction to its Methodsd and Meaning   (Site not responding. Last check: 2007-11-07)
An introduction to the powerful ways the logical forms woven into deductive reasoning and language can be analyzed using abstract symbolic structures.
Philosophically interesting properties about logical systems will be explored - the project of meta-logic - including the task of proving if a logical system is complete and consistent.
A number of foundational topics of 20th century logic will be briefly considered such as set theory, fuzzy logic, Russell's paradox and the main ideas of Goedel's theorems and the associated philosophical issue of whether the procedures of symbolic logic when computerized can capture the full range of human reasoning.
www2.bc.edu /~anderso/courses/sl2003f.html   (208 words)

  
 Symbolic Logic
Notes on Symbolic Logic - Class notes from Peter Williams at the California State University at San Bernardino.
Symbolic Logic in ASCII - Some practice problems related to the course.
Logic is an important foundation for the study of Computer Science.
faculty.juniata.edu /wang/logic   (369 words)

  
 Amazon.com: Books: An Introduction to Symbolic Logic   (Site not responding. Last check: 2007-11-07)
Philosophers of mathematics have almost universally rejected "logicism;" that is, the derivation of mathematics from logic.
Symbolic logic was a young discipline when Langer was writing her first edition.
Susanne Langer's personal choice of some symbols now seems idiosyncratic, but to be fair it should be noted that even today's textbooks have yet to agree fully on a standard set of logic symbols.
www.amazon.com /exec/obidos/tg/detail/-/0486601641?v=glance   (1446 words)

  
 JSTOR: The Bulletin of Symbolic Logic
was established in 1995 by the Association for Symbolic Logic (ASL) to provide a journal of high standards that would be both accessible and of interest to as wide an audience as possible.
Its stated purpose is to keep the logic community informed quickly of important developments in all parts of the discipline.
may deal with any aspect of logic, including mathematical or philosophical logic, logic in computer science or linguistics, the history or philosophy of logic, or applications of logic to other fields.
www.jstor.org /journals/10798986.html   (243 words)

  
 Symbolic Logic
Symbolic Logic was written to illustrate and describe a new way of looking at physical systems.
The fundamental difference between Turing based computing machines (conventional mathematics) and Symbolic systems (non-math) is crudely described in the Appendix (1) via Cantors diagonal theorem and the Halting problem.
As a result, the methodology of Symbolic Logic can directly generate machines which can solve classes of problems difficult or impossible for Turing computing machines to solve.
www.symmatrix.info   (304 words)

  
 PHIL P250 4567 Introductory symbolic logic   (Site not responding. Last check: 2007-11-07)
The language of logic is developed in two stages: propositional logic and predicate logic.
The main objective of the course is for students to feel comfortable with the symbolism of predicate logic and to be able to use the language to accurately express, and establish the validity of, various forms of reasoning.
As Lewis Carroll writes: "Once master the machinery of Symbolic Logic, and you have a mental occupation always at hand, of absorbing interest, and one that will be of real use to you in any subject you may take up.
www.indiana.edu /~deanfac/blsu202/phil/phil_p250_4567.html   (343 words)

  
 Committee on Logic Education - Association for Symbolic Logic   (Site not responding. Last check: 2007-11-07)
(The Bulletin of Symbolic Logic 1 (1995) 4–8)
Logic Cafe, online courseware for symbolic logic, developed by John F. Halpin at Oakland University in Michigan.
Logic Daemon, a web-based proof checker to accompany Logic Primer, MIT Press, 2000, by Colin Allen and Michael Hand, of Texas AandM.
www.phil.ucalgary.ca /asl-cle   (1038 words)

  
 Symbolic Logic I: Course Overview   (Site not responding. Last check: 2007-11-07)
This course is an introduction to the techniques and results of modern symbolic logic.
We will focus on the syntax and the semantics of first-order logic, with an emphasis on constructing proofs in the logical system and an even heavier emphasis on working with its semantics.
Symbolic Logic II, but many students who don't plan to pursue logic beyond this course should find the current material useful.
www.ou.edu /ouphil/faculty/chris/symbolicsy.html   (168 words)

  
 SurfWax: News, Reviews and Articles On Symbolic Logic
As stated in the course textbook, Introduction to Symbolic Logic, "Logic is concerned solely with whether the conclusion follows from the premises" of an argument.
The main motivating idea is what Professor Thorntorn describes as "symbolic logic", the idea that another person's penis will strengthen the perpetrator's, or that the perpetrator's far-sightedness will be improved by devouring the victim's eyes.
Hilary Putnam of Harvard University has made major contributions to symbolic logic, the philosophy of mathematics, metaphysics, the philosophy of the natural and social sciences, epistemology, the philosophy of mind, the philosophy of language, the history of philosophy, ethics, and political philosophy.
news.surfwax.com /telecom/files/Symbolic_Logic.html   (737 words)

  
 Symbolic Logic
The differences among courses, however, may appear far greater than they are in other areas of study, and some of this depends on whether the course is seen as a part of a mathematics or computer science program or as part of a philosophy program.
Several years ago I developed SLIPS as a hypertext or webpage introduction to symbolic logic, and I still find much of the material useful in approaching the concepts of symbolic logic (much as I did in a textbook, now out of print, entitled Symbolic Logic: A Conceptual Approach).
The main difficulty in doing this is that there are differences in symbolization and in the approach to a proof system, so it is necessary to make constant adaptations.
www.internetlogic.org /simba00.html   (331 words)

  
 Broadview Press: Essentials of Symbolic Logic   (Site not responding. Last check: 2007-11-07)
Essentials of Symbolic Logic is a concise and clearly written introduction to the topic.
The book focuses on sentence logic and predicate logic, and provides a thorough grounding in derivation strategies in both.
"Essentials of Symbolic Logic is particularly good at encouraging students to develop strategies for producing derivations in sentence and predicate logic, without ever suggesting that this is an easy task, so that students who persevere can end their courses with a genuine sense of real achievement.
www.broadviewpress.com /bvbooks.asp?BookID=30   (203 words)

  
 PHL 312 Symbolic Logic
In this way, logically complex sentences are understood as truth-functions of their logically simple components, similarly to the way that complex mathematical expressions are understood as quantitative functions of their mathematically simple components (i.e., constants and variables).
You will learn how to translate sentences from a natural language (in this case, English) into the language of symbolic logic, how to test arguments stated in symbolic logic for validity using truth-functional semantics, and how to demonstrate the validity of an argument stated in symbolic logic by constructing a proof.
Many students find symbolic logic difficult, and it tends to be difficult in ways that other subjects in philosophy are not.
puffin.creighton.edu /phil/Graham/syllabus312-04f.htm   (1933 words)

  
 Symbolic Logic (150)
It includes state of the art programs to assist teachers and students of logic.
In considering the semantics, we will attend to the basic semantic concept of truth on a model, or relative to a structure.
There are plenty of exercises in the textbook, and it is highly unlikely that you will do well if you do not complete the bulk of them successfully.
www.lawrence.edu /fast/Ryckmant/phil12syllabus.html   (186 words)

  
 References for Tarski
I H Anellis, Tarski's development of Peirce's logic of relations, in Studies in the logic of Charles Sanders Peirce (Bloomington, IN, 1997), 271-303.
S R Givant, Tarski's development of logic and mathematics based on the calculus of relations, in Algebraic logic, Budapest, 1988 (Amsterdam, 1991), 189-215.
J Pla i Carrera, Alfred Tarski and contemporary logic I (Catalan), Butl.
www-groups.dcs.st-and.ac.uk /~history/References/Tarski.html   (1137 words)

  
 Symbolic Logic
Course Objectives: The main goal of this course is to lay out the foundations of deductive logic in its two main branches: the sentential calculus (also called propositional logic) and the predicate calculus.
These foundations include: translations of English sentences into ‘symboese,’ logical connectives, truth-tables, validity, soundness, formal proof derivation, logical quantifiers, identity, logical relations, the completeness of sentential calculus, paradoxes and some philosophical problems in logic proper.
We will also explore other related issues such as infinite-valued logics, ‘tautology’ fractals, cellular automata, the prisoner’s dilemma, game theory, chaos, computation and undecidability in the prisoner’s dilemma.
www.etown.edu /clubs_orgs/HFHonors/Syllabi/SyllabiOfInterest/Philosophy/SymbolicLogic.htm   (858 words)

  
 Amazon.co.uk: Books: Modern Logic: A Text in Elementary Symbolic Logic   (Site not responding. Last check: 2007-11-07)
Modern Logic fills the strong need for a highly accessible, carefully structured introductory text in symbolic logic.
Modern Logic is a text designed for a first course in symbolic logic for students in philosophy, mathematics, computer science, or linguistics.
Modern Logic's natural deduction system will be easy for students to understand, and the material is carefully structured, with graded exercises at the end of each section, selected answers to which are provided at the back of the book.
www.amazon.co.uk /exec/obidos/ASIN/0195080297   (466 words)

  
 Amazon.com: Books: Symbolic Logic and the Game of Logic   (Site not responding. Last check: 2007-11-07)
In the second work he turns logic into a game played with diagrams and colored counters, giving you hundreds of challenging and witty syllogisms to solve.
Over 350 ingenious problems involving classical logic: logic is expressed in terms of symbols; syllogisms and the sorites are diagrammed; logic becomes a game played with two diagrams and a set of counters.
Math is fun, but the rhetoric of most 'taught' (probably an overstatement) math (and, by extension, logic) is so incredibly dry that the forest is rarely seen for the bark on the trees.
www.amazon.com /exec/obidos/tg/detail/-/0486204928?v=glance   (1025 words)

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