A Second Order Logic of Variable-Binding Operators
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Date
1975
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Reports on Mathematical Logic
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Abstract
It is well-known that Frege distinguished between first- and second-level concepts or functions. First-level concepts he associated with properties and relations between objects. These concepts Frege characterized as functions which assigned truth-values (the true or the false) to (n-tuples of) objects. An (n-tuple of) object(s) was said to fall under such a concept if it was assigned the true by that concept. In his Begriffsschrift these concepts were indicated by predicate variables.
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Cocchiarella, N. "A Second Order Logic of Variable-Binding Operators," Reports on Mathematical Logic, vol. 5 (1975), pp. 3-18.
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