• And so matching by itself is incapable of creating an art of reckoning. Without our ability to arrange things in ordered succession little progress could have been made. Correspondence and succession, the two principles that permeate all mathematics - nay, all realms of exact thought - are woven into the very fabric of our number system.

    Tobias Dantzig (1954). “Number, the Language of Science: A Critical Survey Written for the Cultured Non-mathematician”