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