Also fairly critically; a mathematician can go from assuming that one exists as a concept to multiple ordinals of infinity with about 20 minutes of scribbling.

Also fairly critically; a mathematician can go from assuming that one exists as a concept to multiple ordinals of infinity with about 20 minutes of scribbling. The fact that 64 bit is a modern standard doesn't exclude the fact that R cannot under any circumstance handle the vast and overwhelming majority of known numbers. I feel sorry for the poor souls who turn out to need it, though. R sucks like that.