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The role of audiences in mathematical proof has largely been neglected, in part due to misconceptions like those in Perelman and OlbrechtsTyteca which bar mathematical proofs from bearing reflections of audience consideration. In this paper, I argue that mathematical proof is typically argumentation and that a mathematician develops a proof with his universal audience in mind. In so doing, he creates a proof which reflects the standards of reasonableness embodied in his universal audience. Given this framework, we can better understand (...) 

Many of the methods commonly used to research mathematical practice, such as analyses of historical episodes or individual cases, are particularly wellsuited to generating causal hypotheses, but less wellsuited to testing causal hypotheses. In this paper we reflect on the contribution that the socalled hypotheticodeductive method, with a particular focus on experimental studies, can make to our understanding of mathematical practice. By way of illustration, we report an experiment that investigated how mathematicians attribute aesthetic properties to mathematical proofs. We demonstrate (...) 