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Reply to Armour-Garb

Philosophia Mathematica 19 (3):345-348 (2011)

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  1. Speech acts in mathematics.Marco Ruffino, Luca San Mauro & Giorgio Venturi - 2020 - Synthese 198 (10):10063-10087.
    We offer a novel picture of mathematical language from the perspective of speech act theory. There are distinct speech acts within mathematics, and, as we intend to show, distinct illocutionary force indicators as well. Even mathematics in its most formalized version cannot do without some such indicators. This goes against a certain orthodoxy both in contemporary philosophy of mathematics and in speech act theory. As we will comment, the recognition of distinct illocutionary acts within logic and mathematics and the incorporation (...)
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  • Fictionalism.E. C. Bourne - 2013 - Analysis 73 (1):147-162.
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  • The Implausibility of Hermeneutic Non-Assertivism.B. Armour-Garb - 2011 - Philosophia Mathematica 19 (3):349-353.
    In a recent paper, Mark Balaguer has responded to the argument that I launched against Hermeneutic Non-Assertivism, claiming that, as a matter of empirical fact, ‘when typical mathematicians utter mathematical sentences, they are doing something that differs from asserting in a pretty subtle way, so that the difference between [asserting] and this other kind of speech act is not obvious’. In this paper, I show the implausibility of this empirical hypothesis.
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