Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Deliberation, Practical Reasoning And Problem-Solving, Douglas Walton, Alice Toniolo
Deliberation, Practical Reasoning And Problem-Solving, Douglas Walton, Alice Toniolo
OSSA Conference Archive
We present a series of realistic examples of deliberation and discuss how they can form the basis for building a typology of deliberation dialogues. The observations from our examples are used to suggest that argumentation researchers and philosophers have been thinking about deliberation in overly simplistic ways. We argue that to include all the kinds of argumentation that make up realistic deliberations, it is necessary to distinguish between different kinds of deliberations. We propose a model including a problem-solving type of deliberation based on practical reasoning, characterised by revisions of the initial issue made necessary by the agents’ increased knowledge …
Exploring Argumentation, Objectivity, And Bias: The Case Of Mathematical Infinity, Ami Mamolo
Exploring Argumentation, Objectivity, And Bias: The Case Of Mathematical Infinity, Ami Mamolo
OSSA Conference Archive
This paper presents an overview of several years of my research into individuals’ reasoning, argumentation, and bias when addressing problems, scenarios, and symbols related to mathematical infinity. There is a long history of debate around what constitutes “objective truth” in the realm of mathematical infinity, dating back to ancient Greece (e.g., Dubinsky et al., 2005). Modes of argumentation, hindrances, and intuitions have been largely consistent over the years and across levels of expertise (e.g., Brown et al., 2010; Fischbein et al., 1979, Tsamir, 1999). This presentation examines the interrelated complexities of notions of objectivity, bias, and argumentation as manifested in …