Une approche critique de l’opposition entre les nombres ‘concrets’ et ‘abstraits’

old_uid18982
titleUne approche critique de l’opposition entre les nombres ‘concrets’ et ‘abstraits’
start_date2021/05/05
schedule14h-18h
onlineno
detailsLes personnes qui souhaitent participer à cette séance sont priées d’envoyer un message avec « mesures 5-5-2021 » pour objet à eric.vandendriessche ( at ) univ-paris-diderot.fr au plus tard le 4 mai
summaryThis session of the seminar will present some contributions to a forthcoming special issue of the Journal Historia Mathematica (C. Proust and E. Vandendriessche eds.) which goal is to critically analyze the opposition between “concrete numbers” and “abstract numbers” in history and historiography. Some historians, philosophers, and anthropologists have theorized a separation between “numbers” and the entities enumerated or counted with these numbers, and more particularly, between numbers and measurement units attached to them in the expression of measurement values. This perception gave rise to a linear history of oral and written numerations rooted in evolutionary theories and classifications (Smith, Guitel, and many others). To what extent does this separation reflect the practices carried out in societies or social groups under scrutiny by these scholars ? How has the notion of “abstract numbers”—as opposed to those described as “concrete numbers” shaped the history of numerations ? This issue’s goal is to confront common historiography with the great diversity of numeration and measurement systems (and their interrelations), attested to by the various textual and ethnographic sources available to us (Murdoch, Thomas, Lean, etc.).
responsiblesProust, de Courtenay