I once heard someone claim that if we had four digits on each hand our mathematics would be well in advance of what it is.
Presumably this is because 4 is a power of 2 and those clever computers calculate in powers of two. Personally, I think that they do so for electrical reasons, but am not enough of a mathematician to tell if math based on powers of 2 is easier, more intuitive, or in any way superior.
So, if we had four digits on each hand, would we be be mathematically more advanced?
Would there be any other major impacts? (and would cartoon characters only have three digits? ;-)
[Update] I doubt it makes any difference at all to mathematics, where symbols are involved. But to arithmetic? If multiplication & division were simpler, what then of pyramids? Or even just bridges, etc? Would earlier perfection of the arithmetic of engineering have had major impacts elsewhere?
[Upperdate] I am reminded of this 2,000+ year old computational device (complete with complex gearing). Could power of two based calculation have led to even greater devices?