Fallacies in Mathematics
| Abstract | This paper considers the application to mathematical fallacies of techniques drawn from informal logic, specifically the use of ”argument schemes’. One such scheme, for Appeal to Expert Opinion, is considered in some detail. | |||||||||
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Andrew Aberdein (2010). Observations on Sick Mathematics. In Bart van Kerkhove, Jean Paul van Bendegem & Jonas de Vuyst (eds.), Philosophical Perspectives on Mathematical Practice. College Publications.
Christopher W. Tindale (2007). Fallacies and Argument Appraisal. Cambridge University Press.
Douglas N. Walton (1987). Informal Fallacies: Towards a Theory of Argument Criticisms. J. Benjamins Pub. Co..
Andrew Aberdein (2006). Managing Informal Mathematical Knowledge: Techniques From Informal Logic. Lecture Notes in Artificial Intelligence 4108:208--221.
Bradley Dowden, Fallacies. Internet Encyclopedia of Philosophy.
Herman E. Stark (2000). Fallacies and Logical Errors. Inquiry 20 (1):23-32.
Jonathan E. Adler (2000). Three Fallacies. Behavioral and Brain Sciences 23 (5):665-666.
David Botting (2012). What is a Sophistical Refutation? Argumentation 26 (2):213-232.
Ulrike Hahn & Mike Oaksford (2006). A Bayesian Approach to Informal Argument Fallacies. Synthese 152 (2):207 - 236.
C. L. Hamblin (1970/1993). Fallacies. Vale Press.
Douglas N. Walton (1992). Which of the Fallacies Are Fallacies of Relevance? Argumentation 6 (2):237-250.
Luciano Floridi (2009). Logical Fallacies as Informational Shortcuts. Synthese 167 (2):317 - 325.
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