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
Gottlob Frege (1953). The Foundations of Arithmetic. Evanston: Ill., Northwestern University Press.

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Citations of this work BETA
Fredrik Engström (2012). Generalized Quantifiers in Dependence Logic. Journal of Logic, Language and Information 21 (3):299-324.
Robert May (1989). Interpreting Logical Form. Linguistics and Philosophy 12 (4):387 - 435.

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