Are all denumerable sets of numbers order-isomorphic?

6533b86ffe1ef96bd12cd922

RESEARCH PRODUCT

Are all denumerable sets of numbers order-isomorphic?

Laura Branchetti Viviane Durand-guerrier

subject

denumerable set Concept image and concept definition.Teaching and learning of analysis and calculus [SHS.EDU]Humanities and Social Sciences/Education [MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]Ordered set Density Epistemological studies of mathematical topics concept image versus definition

description

International audience; In this paper we study cognitive conflicts on the issue of number sets being dense, ordered and denumerable. We first provide historical-epistemological background related to these notions. Then we consider the cognitive conflicts under the lenses of concept image and concept definition, which we use to analyse empirical data collected in order to understand better the didactical and cognitive issues at stake.

year	journal	country	edition	language
2018-04-05

https://hal.archives-ouvertes.fr/hal-01849536/document

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