
06586027
a
2016d.00506
S\'aenzLudlow, Adalira
Abduction in proving.
Sa\'enzLudlow, Adalira (ed.) et al., Semiotics as a tool for learning mathematics. How to describe the construction, visualisation, and communication of mathematical concepts. Rotterdam: Sense Publishers (ISBN 9789463003360/hbk; 9789463003353/pbk; 9789463003377/ebook). Semiotic Perspectives in the Teaching and Learning of Mathematics Series 3, 155179 (2016).
2016
Rotterdam: Sense Publishers
EN
E50
G40
E40
proving
semiotics
Peirce
reasoning
Kant
proof
geometry
abduction
doi:10.1007/9789463003377_8
Summary: This chapter is framed both within the Kantean notions of sensible and intellectual intuitions and within the Peircean notion of collateral knowledge and classification of inferential reasoning into abductive, inductive, and deductive. An overview of the Peircean notion of abduction is followed by a subclassification of abductions according to Thagard and Eco.