01894nas a2200253 4500008004100000020001300041245005700054210005000111260001400161300001400175490000700189520123600196653001701432653001701449653001901466653001601485653000901501653001601510653001001526653001501536653001501551100002701566856004701593 2017 eng d a0898962100aOn the Nature and Role of Peer Review in Mathematics0 aNature and Role of Peer Review in Mathematics c2017/05// a177 - 1920 v243 aFor the past three decades, peer review practices have received much attention in the literature. But although this literature covers many research fields, only one previous systematic study has been devoted to the practice of peer review in mathematics, namely a study by Geist, Löwe, and Van Kerkhove from 2010. This lack of attention may be due to a view that peer review in mathematics is more reliable, and therefore less interesting as an object of study, than peer review in other fields. In fact, Geist, Löwe, and Van Kerkhove argue that peer review in mathematicsisrelatively reliable. At the same time, peer review in mathematics differs from peer review in most, if not all, other fields in that papers submitted to mathematical journals are usually only reviewed by a single referee. Furthermore, recent empirical studies indicate that the referees do not check the papers line by line. I argue that, in spite of this, mathematical practice in general and refereeing practices in particular are such that the common practice of mathematical journals of using just one referee is justified from the point of view of proof validity assessment. The argument is based on interviews I conducted with seven mathematicians. 10aINTERVIEWING10aMathematical10aMATHEMATICIANS10aMathematics10aPeer10aPeriodicals10aPROOF10arefereeing10avalidation1 aAndersen, Line, Edslev uhttp://ethics.iit.edu/eelibrary/node/19241