Abstract Expressionism and the Communication Problem

Abstract
Some philosophers have recently suggested that the reason mathematics is useful in science is that it expands our expressive capacities. Of these philosophers, only Stephen Yablo has put forward a detailed account of how mathematics brings this advantage. In this article, I set out Yablo’s view and argue that it is implausible. Then, I introduce a simpler account and show it is a serious rival to Yablo’s. 1 Introduction2 Yablo’s Expressionism3 Psychological Objections to Yablo’s Expressionism4 Introducing Belief Expressionism5 Objections and Replies5.1 Yablo’s likely response5.2 Charity6 Conclusion
Keywords fictionalism  mathematics  pretence  make-believe  Yablo
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O. Bueno & M. Colyvan (2003). Yablo's Paradox and Referring to Infinite Objects. Australasian Journal of Philosophy 81 (3):402 – 412.
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Stephen Yablo (2005). The Myth of the Seven. In Mark Eli Kalderon (ed.), Fictionalism in Metaphysics. Clarendon Press. 88--115.
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