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(1994) Synthese 101 (1).
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.
Publication details
DOI: 10.1007/BF01063968
Full citation:
Hugly, P. , Sayward, C. (1994). Quantifying over the reals. Synthese 101 (1), pp. 53-64.