Cognitive functioning and the understanding of mathematical processes of proof

By Raymond Duval. 2007

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Lectures in Advanced Mathematics: Why Students Might Not Understand What the Mathematics Professor Is Trying to Convey. (2016, background): “In producing or studying a proof, one can verify that the conclusion of a theorem being proven is a necessary logical consequence of the premises of that theorem (c.f., Duval, 2007).”
Why and how mathematicians read proofs: an exploratory study (2011, background): “Duval (2007), for instance, contends that, as opposed to other modes of argumentation, the purpose of valid deductive arguments is to change the epistemic value of the statement being proven to " necessary " .”