The role and function of quasi‐empirical methods in mathematics

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How Mathematicians Obtain Conviction: Implications for Mathematics Instruction and Research on Epistemic Cognition (2014, background): “This is particularly relevant with dynamic geometry software, where both students and mathematicians regularly claim certainty in unproven geometric claims because the software allows the user to check these claims for a large number of cases (see de Villiers, 2004).”
The Effect of Authority on the Persuasiveness of Mathematical Arguments (2009, background): “…that the categorization also applied to other types of mathematical argumentation, including both intuitive and empirical argumentation (see also de Villiers, 2004).1 De Villiers’ categorization suggests that each of the three general activities related to mathematical argumentation presented…”