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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 …
Criticism In Need Of Clarification, Jan Albert Van Laar
Criticism In Need Of Clarification, Jan Albert Van Laar
OSSA Conference Archive
A critic often conveys what underlies her criticism, but imprecisely, leaving it unclear to the arguer what argumentative strategy to adopt. I elaborate on the opponent's “burden of criticism” by using argumentation schemes. For example, the critic may challenge a thesis by saying “Why? Says who?,” without conveying whether she could be convinced with an argument from expert opinion, or from position to know, or from popularity. What are fair dialogue rules for dealing with unspecific criticism?