The bounds of logic: a generalized viewpoint
Choice Reviews OnlinePublished 1 September 1992Open access
Gila Sher
Citations206
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
New bounds the initial generalization to be a logical term semantics from the ground up ways of branching quantifiers a new conception of logic.
Abstract
New bounds the initial generalization to be a logical term semantics from the ground up ways of branching quantifiers a new conception of logic.
Keywords
Arts and Humanities
Philosophy of mathematics : selected readings
837 Citations1984Paul Benacerraf, Hilary Putnam
Situations and Attitudes
681 Citations2004Jon Barwise, John Perry
Cambridge University Press eBooksModel-Theoretic Logics
568 Citations2017Jon Barwise, Feferman, Solomon 1928-
The Philosophical QuarterlyThe Concept of Logical Consequence.
302 Citations1991W. D. Hart, John Etchemendy
The Journal of PhilosophyLogicism and the Ontological Commitments of Arithmetic
293 Citations1984Harold T. Hodes
The Foundations of Arithmetic
282 Citations1965Evert W. Beth
The Philosophical QuarterlyFormal Philosophy: Selected Papers.
238 Citations1976Stephen J. Read, Richard Montague +1 more
Generalized Quantifiers in Natural Language
189 Citations1985J.F.A.K. van Benthem, Alice Ter Meulen +11 more
Our Knowledge of the External World
123 Citations2014Bertrand Russell
Handbook of Philosophical Logic
117 Citations1989D. Gabbay, F. Guenthner
Journal of Symbolic LogicTarski on truth and logical consequence
108 Citations1988John Etchemendy
The influence of Tarski's writings on truth and logical consequence has been equally pervasive, extending not only to work in semantics and the philosophies of logic and language, but to less obviously allied areas such as epistemology and the philosophy of science as well.
Studies in linguistics and philosophyNoun Phrases, Generalized Quantifiers and Anaphora
86 Citations1987Jon Barwise
The discussion focuses on problems of anaphora and its interaction with the theory of quantification embedded in these two accounts, but is also forced to touch on the issue of just what is up to in giving a model-theoretic account of semantics, one that uses some artificial language like first-order logic or the language L(ss) presented here.
Transactions of the American Mathematical SocietyGeneralized quantifiers and compact logic
81 Citations1975Saharon Shelah
Is There a Problem about Substitutional Quantification ?
75 Citations1999Saul A. Kripke
Studies in linguistics and philosophyUnreducible N-Ary Quantifiers in Natural Language
43 Citations1987Edward L. Keenan
This paper exhibits a variety of English expressions which are naturally interpreted in terms of properly n-ary quantifiers — ones which may be thought of as simultaneously binding 2 or more variables which contrast with what the authors call standard natural language quantifiers which bind just one variable.
Journal of Symbolic LogicAlfred Tarski's work in model theory
42 Citations1986Robert L. Vaught
Alfred Tarski's work in pure model theory and classical logic is considered; his work in applied model theory—the model theory of various special theories—is discussed by Doner and van den Dries [1987], and McNulty [1986].
Studies in linguistics and philosophyBranching Generalized Quantifiers and Natural Language
39 Citations1987Dag Westerståhl
Mathematical Intuition
23 Citations1985Philip Kitcher
On Characterizing Elementary Logic
18 Citations1974Per Lindström
Quantifiers vs. Quantification Theory
9 Citations2007Jaakko Hintikka
Quantifiers have entered the Methodenstreit of contemporary linguistics in another major way, too, the idea that the structures studied in the so-called quantification theory of symbolic logic-otherwise know as first-order logic, (lower) predicate calculus, or elementary logic-can serve and suffice as semantical representations of English sentences.
Studies in logic and the foundations of mathematicsA Linguistic Turn: New Directions in Logic
7 Citations1986
Some new directions in logical research on the common border with modern linguistics are presented, and patterns of inference are described, which may be explored quite systematically for all possible inferential theories.
The Philosophical QuarterlyIntroduction to Axiomatic Set Theory.
5 Citations1970Alan Slomson, E. J. Lemmon
Gödel’s Incompleteness Theorem
5 Citations1987Michael A. Arbib
Studia LogicaLogical semantics as an empirical science
3 Citations1983Johan van Benthem
The aim of this paper is to show that there is possible to find some integrating bridge topics between the two fields, and to show how insights from the one are illuminating and suggestive in the other.