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    Weyl confines attention to functions which turn out to be... — Carmelics
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    Challenges→Weyl's claim that all functions defined on a continuum are continuous is trivially true given his definition of function, not a substantive mathematical result.

    Weyl confines attention to functions which turn out to be continuous by definition.

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    A claim whose truth follows from the definitions used rather than from the subje...Weyl's claim that all functions defined on a continuum are continuous is trivial...

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    It is not immediately evident that all functions in Brouwer's sense mu...88%Weyl's claim that all functions defined on a continuum are continuous ...82%In smooth infinitesimal analysis, every function on the real numbers i...76%What mathematicians took to be discontinuous functions actually consis...76%

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    Weyl also agreed with Brouwer that all functions everywhere defined on a continuum are continuous, but here certain subtle differences of viewpoint emerge. Weyl contends that what mathematicians had taken to be discontinuous functions actually consist of several continuous functions defined on separated continua. In Weyl’s view, for example, the “discontinuous” function defined by \(f(x) = 0\) for \(x \lt 0\) and \(f(x) = 1\) for \(x \ge 0\) in fact consists of the two functions with const

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