Publication details
Verlag: Springer
Ort: Berlin
Jahr: 2018
Pages: 1-23
Reihe: Logic, Epistemology, and the Unity of Science
ISBN (Hardback): 9783319937328
Volle Referenz:
, "Analogy and invention some remarks on Poincaré's analysis situs papers", in: The philosophers and mathematics, Berlin, Springer, 2018
Analogy and invention some remarks on Poincaré's analysis situs papers
pp. 1-23
in: Hassan Tahiri (ed), The philosophers and mathematics, Berlin, Springer, 2018Abstrakt
The primary role played by analogy in Henri Poincaré's work, and in particular in his "analysis situs" papers, is emphasized. Poincaré's "sixth example" (showing that Betti numbers do not suffice to classify 3-manifolds) and his construction of the homology sphere are discussed in detail.
Cited authors
Publication details
Verlag: Springer
Ort: Berlin
Jahr: 2018
Pages: 1-23
Reihe: Logic, Epistemology, and the Unity of Science
ISBN (Hardback): 9783319937328
Volle Referenz:
, "Analogy and invention some remarks on Poincaré's analysis situs papers", in: The philosophers and mathematics, Berlin, Springer, 2018