"The foregoing discussion has brought us to the point where the reader is in a condition.. to realize the great fundamental absurdity of Riemann's endeavor to draw inferences respecting the nature of space and the extension of its concepts from algebraic representations of "multiplicities." An algebraic multiple and a spatial magnitude are totally disparate. That no conclusions about forms of extension or spatial magnitudes are derivable from the forms of algebraic functions is evident upon the most elementary considerations."