Opposite him, was Dutch mathematician LEJ Brouwer, supporting the view that the line should be seen as a never-ending process, that develops through time, the core of intuitionist mathematics.

While acceptable in modern times, the advent of infinite numbers after decimal points was not warmly received when the idea was first put forth. David Hilbert was in support of the idea, where as LEJ Brouwer felt Mathematics was a construct, and that numbers are finite, their digits being the result of calculation or random selection, one at a time.