definition-of-mathematical-space

Every definition needs the presumption that there is some infinite nothingness that can be given a name. You open a piece of paper, a chalkboard or your mind and start defining some of the infinite 0,0 origin points as 0,0 (THE Origin) and some other as 0,1 or 1,0 bzw. 0,n and n,0, draw an imaginary connection and say "ha, i created a coordinate system with ONE zeropoint and some random x y z a x e s in my culturally biased directions, and this whole thing has to be bent to my will".