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The Argument of Mathematics

& (eds.)
Dordrecht, Netherland: Springer (2013)

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  1. Proofs, Mathematical Practice and Argumentation.Begoña Carrascal - 2015 - Argumentation 29 (3):305-324.
    In argumentation studies, almost all theoretical proposals are applied, in general, to the analysis and evaluation of argumentative products, but little attention has been paid to the creative process of arguing. Mathematics can be used as a clear example to illustrate some significant theoretical differences between mathematical practice and the products of it, to differentiate the distinct components of the arguments, and to emphasize the need to address the different types of argumentative discourse and argumentative situation in the practice. I (...)
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  • Reasoning and Arguing, Dialectically and Dialogically, Among Individual and Multiple Participants.Michael D. Baumtrog - 2018 - Argumentation 32 (1):77-98.
    Within three of the most well-known contemporary approaches to argumentation, the notions of solo argumentation and arguing with one’s self are given little attention and are typically argued to be able to be subsumed within the dialectical aspects of the approach being propounded. Challenging these claims, this paper has two main aims. The first is to argue that while dialogical argumentation may be most common, there exists individual dialectical argumentation, which is not so easily subsumed within these theories. Second, in (...)
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  • Audience role in mathematical proof development.Zoe Ashton - 2020 - Synthese 198 (Suppl 26):6251-6275.
    The role of audiences in mathematical proof has largely been neglected, in part due to misconceptions like those in Perelman and Olbrechts-Tyteca which bar mathematical proofs from bearing reflections of audience consideration. In this paper, I argue that mathematical proof is typically argumentation and that a mathematician develops a proof with his universal audience in mind. In so doing, he creates a proof which reflects the standards of reasonableness embodied in his universal audience. Given this framework, we can better understand (...)
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  • Mathematicians writing for mathematicians.Line Edslev Andersen, Mikkel Willum Johansen & Henrik Kragh Sørensen - 2019 - Synthese 198 (Suppl 26):6233-6250.
    We present a case study of how mathematicians write for mathematicians. We have conducted interviews with two research mathematicians, the talented PhD student Adam and his experienced supervisor Thomas, about a research paper they wrote together. Over the course of 2 years, Adam and Thomas revised Adam’s very detailed first draft. At the beginning of this collaboration, Adam was very knowledgeable about the subject of the paper and had good presentational skills but, as a new PhD student, did not yet (...)
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