 In speaking of arithmetic (algebra, analysis) as merely part of logic I mean to imply that I consider the number-concept entirely independent of the notions or intuitions of space and time—that I rather consider it an immediate product of the pure laws of thought.… It is only through the purely logical process of building up the science of numbers and by thus acquiring the continuous number-domain that we are enabled accurately to investigate our notions of space and time by bringing them into relation with this number-domain created in our mind.[fn] [Emphasis added]