Platonism and Quantification

A. N. Prior

in Objects of Thought

Published in print April 1971 | ISBN: 9780198243540
Published online October 2011 | e-ISBN: 9780191680694 | DOI:
Platonism and Quantification

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This chapter begins with a discussion of syntactical versus metaphysical economy. It then discusses bound variables as name variables, defence of non-nominal quantifications, idiomatic higher-order quantification, the ramified theory of types and Ramsey's answer to it, the symbolic necessity of abstracts, and the syntactical ambiguity of quantification.

Keywords: syntactical economy; metaphysical economy; bound variables; quantification; Ramsey; abstracts

Chapter.  6385 words. 

Subjects: Philosophy of Mathematics and Logic

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