
Publication details
Year: 1994
Pages: 53-64
Series: Synthese
Full citation:
, "Quantifying over the reals", Synthese 101 (1), 1994, pp. 53-64.
Abstract
Peter Geach proposed a substitutional construal of quantification over thirty years ago. It is not standardly substitutional since it is not tied to those substitution instances currently available to us; rather, it is pegged to possible substitution instances. We argue that (i) quantification over the real numbers can be construed substitutionally following Geach's idea; (ii) a price to be paid, if it is that, is intuitionism; (iii) quantification, thus conceived, does not in itself relieve us of ontological commitment to real numbers.
Cited authors
Publication details
Year: 1994
Pages: 53-64
Series: Synthese
Full citation:
, "Quantifying over the reals", Synthese 101 (1), 1994, pp. 53-64.