On the history of differentiable manifolds (Q2909877)

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scientific article; zbMATH DE number 6078561
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English
On the history of differentiable manifolds
scientific article; zbMATH DE number 6078561

    Statements

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    6 September 2012
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    differentiable manifold
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    implicit function
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    Whitney's theorem
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    Linderbaum-Tarski algebra
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    semantics
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    syntax
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    rigid designator
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    On the history of differentiable manifolds (English)
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    The author discusses central aspects of history of the concept of an affine differentiable manifold, as a proposal confirming the need for using some quantative methods (drawn from elementary Model Theory) in Mathematical Historiography. In particular, the author proves as this geometric structure is a syntactic rigid designator in the sense of Kripke-Putnam.
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