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Semantic nominalism

Australasian Journal of Philosophy 59 (4):403 – 421 (1981)

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  1. Quantifying over the reals.Philip Hugly & Charles Sayward - 1994 - Synthese 101 (1):53 - 64.
    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 (...)
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  • Aggregation and idempotence.Lloyd Humberstone - 2013 - Review of Symbolic Logic 6 (4):680-708.
    A 1-ary sentential context is aggregative (according to a consequence relation) if the result of putting the conjunction of two formulas into the context is a consequence (by that relation) of the results of putting first the one formula and then the other into that context. All 1-ary contexts are aggregative according to the consequence relation of classical propositional logic (though not, for example, according to the consequence relation of intuitionistic propositional logic), and here we explore the extent of this (...)
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  • Bigelow's semantic nominalism.M. J. Cresswell - 1983 - Australasian Journal of Philosophy 61 (1):78 – 80.
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  • Meaning and signification.John Bigelow - 1983 - Australasian Journal of Philosophy 61 (1):81 – 83.
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