2 edition of Algebraic logic and predicate functors found in the catalog.
Algebraic logic and predicate functors
Willard Van Orman Quine
|Statement||by W. V. Quine.|
|LC Classifications||QA9 .Q53|
|The Physical Object|
|Number of Pages||23|
|LC Control Number||71157092|
The Journal of Logical and Algebraic Methods in Programming is an international journal whose aim is to publish high quality, original research papers, survey and review articles, tutorial expositions, and historical studies in the areas of logical and algebraic methods and techniques for guaranteeing correctness and performability of programs and in general of computing . Boundary algebra [BA] is a simpler notation for Spencer-Brown’s () primary algebra [pa], the Boolean algebra 2, and the truth functors. The primary arithmetic [PA] consists of the atoms.
The logic of classes is the extensional counterpart of the logic of one-place functors or predicates. A class or set (generally designated by the Greek letters α, β, or γ) is always defined by a predicate; it is the set of all objects that possess a given property. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of the peer-reviewed journal Algebra I Logika, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of.
Chinese 2nd edition paperback (China Renmin University Press - 6 volumes containing 14 books) Algebraic Logic and Predicate Functors. Indianapolis: Bobbs-Merrill, 25 pp. (pamphlet) [reprinted in W. V. Quine's The Ways of Paradox, 2nd . read Grandy's less detailed, and lucid, article 'Anadic Logic and English', Synthese (), along with Quine's 'Variables Explained Away', in Selected Logic Papers (Random House, I), and 'Algebraic Logic and Predicate Functors' and 'Truth and Disquotation', both in the enlarged edition of Ways of Paradox (Harvard, ). These two chapters.
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Algebraic logic and predicate functors Paperback – January 1, by wv quine (Author) See all formats and editions Hide other formats and editions. Price New from Used from Paperback "Please retry" — Author: wv quine. Algebraic Logic and Predicate Functors Unknown Binding – January 1, by W.
Quine (Author) See all formats and editions Hide other formats and editions. Price New from Used from Paperback "Please retry" $ — $ Paperback $ 1 Used from $ The Amazon Book Review Author: W.
Quine. Algebraic logic and predicate functors book Logic and Predicate Functors. Quine [Indianapolis, Bobbs-Merrill () Abstract Similar books and articles. Logic: An Introduction. Wittgensteinian Predicate Logic.
Kai Wehmeier - - Notre Dame Journal of Formal Logic 45 (1) Additional Physical Format: Online version: Quine, W.V. (Willard Van Orman). Algebraic logic and predicate functors. [Indianapolis, Bobbs-Merrill, ]. PREDICATE-FUNCTOR LOGIC(*) Harvard University Logic in its adolescent phase was algebraic.
There was Boole's algebra of classes and Peirce's algebra of relations. But in logic came of age, with Frege's quantification theory. Here the bound variable, so characteristic of analysis rather than of algebra, became central to logic. In mathematical logic, predicate functor logic (PFL) is one of several ways to express first-order logic (also known as predicate logic) by purely algebraic means, i.e., without quantified employs a small number of algebraic devices called predicate functors (or predicate modifiers) that operate on terms to yield terms.
PFL is mostly the invention of the. Stanford Encyclopedia of Philosophy. Mainly about abstract algebraic logic. Stanley Burris (), "The Algebra of Logic Tradition". Stanford Encyclopedia of Philosophy. Willard Quine,"Algebraic Logic and Predicate Functors" pages to in The Ways of Paradox, Harvard University Press.
Historical perspective. Ivor Grattan-Guinness. More generally, a predicate logic for a category C is given by a functor of the form:Cop!PoSets.
For X2C in the base category one calls (X) the ﬁbre (category) over X. It contains the predicates on X, with order P Qgiven by implication. The ﬁbres (X) may have more algebraic structure, like in the Boolean algebra example on Sets.
A respected Harvard logician and philosopher gathers together twenty-nine writings dealing with the foundations of mathematics, Rudolf Carnap, lin-guistics, truth, analyticity, modal logic, propositional attitudes, and ontology. In my lecture notes for Discrete Structures, the professor introduced a definition on functors in the "Syntax of Predicate Logic" section.
Definition of functors: Let us consider a collection of symbols called functors (each functor is associated to a natural number n, called its valence or arity, we say that the functor is n-ary).  ' Algebraic logic and predicate functors, Logic and art: Essays in honor of Nelson Goodman (Richard Rudner and Israel Scheffler, editors), Bobbs-Merrill, Indianapolis, Reprinted with emendations in The ways of paradox and other essays, 2nd edition, Harvard.
from book Recent Trends in Algebraic coalgebraic modal logic based on predicate liftings for functors. This logic is more general than the modal logic previously used in. An axiomatization of predicate functor logic. Steven T. Kuhn.
Notre Dame Journal of Formal Logic 24 (2) (). We present an algebraic theory for a fragment of predicate logic. The fragment has disjunction, existential quantification and equality. It is not an algebraic theory in the classical sense, but rather within a new framework that we call ‘parameterized algebraic theories’.
Publisher Summary. This chapter discusses the notion of Boolean algebra based on the order relation, joins, meets, and complementation. It also discusses basic algebraic tools of mathematical logic, Boolean sub-algebras, homomorphisms, ideals and prime ideals, and the concept of set representation.
Categorical Logic and Type Theory B. Jacobs, Categorical Logic and Type Theory, Studies in Logic and the Foundations of MathematicsNorth Holland, Elsevier, ISBN BibTex entry This book gives a survey of categorical logic and type theory starting from the unifying concept of a fibration. Algebraic Logic Book information Product description Author information and services Ordering information (submitted) Towards a natural language semantics without functors and operands Journal of Logic, Language and ALF is based on Horn clause logic with equality which consists of predicates and Horn clauses for logic programming, and.
An illustration of an open book. Books. An illustration of two cells of a film strip. Video. An illustration of an audio speaker. Audio An illustration of a " floppy disk. by A. ChurchAlgebraic logic and predicate functors, by W. QuineOn pragmatics, the meta-theory of science, and subjective intensions, by R.
Martin. forall x is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading.
[21 - Algebraic logic and predicate functors, Logic and art: Essays in honor of Nelson Goodman (Richard Rudner and Israel Scheffler, editors), Bobbs-Merrill, Indianapolis, Reprinted with emendations in The ways of paradox and other essays, 2nd edition, Harvard University Press, Cambridge, Massachusetts.
This book is a thoroughly documented and comprehensive account of the constructive theory of the first-order predicate calculus. This is a calculus that is central to modern mathematical logic and important for mathematicians, philosophers, and scientists whose work impinges upon logic.This expanded edition of The Ways of Paradox includes papers that are among Professor W.
V. Quine's most important and influential, such as 'Truth by Convention,' 'Carnap and Logical Truth,' 'On Carnap's Views on Ontology,' 'The Scope and Language of Science,' and 'Posits and Reality.' This new edition also contains eight essays that appeared after publication of the first edition.Keywords: Coalgebra, Modal Logic, Poset 1 Introduction We study the logic of coalgebras over posets and show that to any functor T: Pos → Pos one can associate a positive modal logic L T, that is, a modal logic without negation.
Moreover, this logic has the Hennessy-Milner property (= is expressive) if T is ﬁnitary.