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(2018) The philosophers and mathematics, Dordrecht, Springer.
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.
Publication details
DOI: 10.1007/978-3-319-93733-5_1
Full citation:
Bartocci, C. (2018)., Analogy and invention some remarks on Poincaré's analysis situs papers, in H. Tahiri (ed.), The philosophers and mathematics, Dordrecht, Springer, pp. 1-23.
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