On the History of Differentiable ManifoldsReport as inadecuate

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1 Department of Physics

Abstract : We discuss central aspects of history of the concept of an affine dif-ferentiable manifold, as a proposal confirming the need for using some quantitative methods drawn from elementary Model Theory in Mathematical Historiography. In particular, we prove that this geometric structure is a syntactic rigid designator in the sense of Kripke-Putnam.

Keywords : principle of virtual works syntax semantics differentiable manifold implicit function Whitney-s theorem Lindenbaum-Tarski algebra rigid designator

Author: Giuseppe Iurato -

Source: https://hal.archives-ouvertes.fr/


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