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On the general interpretation of first-order quantifiers
Review of Symbolic Logic 6 (4):637-658 (2013)
Abstract
While second-order quantifiers have long been known to admit nonstandard, or interpretations, first-order quantifiers (when properly viewed as predicates of predicates) also allow a kind of interpretation that does not presuppose the full power-set of that interpretationgeneral” interpretations for (unary) first-order quantifiers in a general setting, emphasizing the effects of imposing various further constraints that the interpretation is to satisfyAuthor's Profile
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Citations of this work
Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism.Jared Warren - 2020 - New York, USA: Oxford University Press.
Compositionality Solves Carnap’s Problem.Denis Bonnay & Dag Westerståhl - 2016 - Erkenntnis 81 (4):721-739.
Necessarily Maybe. Quantifiers, Modality and Vagueness.Alessandro Torza - 2015 - In Quantifiers, Quantifiers, and Quantifiers. Themes in Logic, Metaphysics, and Language. (Synthese Library vol. 373). Springer. pp. 367-387.
Completeness and Decidability of General First-Order Logic.Aldo Antonelli - 2017 - Journal of Philosophical Logic 46 (3):233-257.
On A New Semantics for First-Order Predicate Logic.István Németi, Johan van Benthem & Hajnal Andréka - 2017 - Journal of Philosophical Logic 46 (3):259-267.
References found in this work
First order predicate logic with generalized quantifiers.Per Lindström - 1966 - Theoria 32 (3):186--195.
Logic with the quantifier “there exist uncountably many”.H. Jerome Keisler - 1970 - Annals of Mathematical Logic 1 (1):1-93.
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