Ways of branching quantifers

Linguistics and Philosophy 13 (4):393 - 422 (1990)
Branching quantifiers were first introduced by L. Henkin in his 1959 paper ‘Some Remarks on Infmitely Long Formulas’. By ‘branching quantifiers’ Henkin meant a new, non-linearly structured quantiiier-prefix whose discovery was triggered by the problem of interpreting infinitistic formulas of a certain form} The branching (or partially-ordered) quantifier-prefix is, however, not essentially infinitistic, and the issues it raises have largely been discussed in the literature in the context of finitistic logic, as they will be here. Our discussion transcends, however, the resources of standard lst-order languages and we will consider the new form in the context of 1st-order logic with 1- and 2-place ‘Mostowskian` generalized quantifiers.2..
Keywords bibtex-import   generalized   quantifiers
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DOI 10.1007/BF00630749
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References found in this work BETA
Philosophy of Logic.W. V. Quine - 1970 - Harvard University Press.
Generalized Quantifiers and Natural Language.Jon Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
Logic, Semantics, Metamathematics.Alfred Tarski - 1956 - Oxford, Clarendon Press.
The Foundations of Arithmetic.Gottlob Frege - 1953 - Evanston: Ill., Northwestern University Press.

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Citations of this work BETA
Generalized Quantifiers in Dependence Logic.Fredrik Engström - 2012 - Journal of Logic, Language and Information 21 (3):299-324.
Number-Neutral Bare Plurals and the Multiplicity Implicature.Eytan Zweig - 2009 - Linguistics and Philosophy 32 (4):353-407.
Interpreting Logical Form.Robert May - 1989 - Linguistics and Philosophy 12 (4):387 - 435.

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