Review of Symbolic Logic 6 (4):637-658 (2013)

G. Aldo Antonelli
University of California, Davis
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 satisfy
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DOI 10.1017/s1755020313000270
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References found in this work BETA

What Are Logical Notions?Alfred Tarski - 1986 - History and Philosophy of Logic 7 (2):143-154.
Formal Philosophy. [REVIEW]Richard Montague - 1975 - Canadian Journal of Philosophy 4 (3):573-578.
On What There Is.Willard Van Orman Quine - 1948 - Review of Metaphysics 2 (5):21-38.
Completeness in the Theory of Types.Leon Henkin - 1950 - Journal of Symbolic Logic 15 (2):81-91.

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Citations of this work BETA

Life on the Range.G. Aldo Antonelli - 2015 - In A. Torza (ed.), Quantifiers, Quantifiers, and Quantifiers. Synthese LIbrary. pp. 171-189.

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