[BillBohan]

Modular arithmetic is mentioned but base 6 is not well covered.

I started gforth and entered:

3 3 + base ! ( avoiding 6)

I was in a world where there was no 6. 5 1 + . gives 10 as a result. 6 1 - complains that 6 is an undefined word.

Decimal returns things to normal.

[CapacitorSet]

Bases are about the representation of the number, not the number itself. That's why a baby can identify a group of six items despite not knowing about base 10 or digits in general.

For a more practical example, do you think the number twelve does not exist because it takes two digits to represent it?

[soperj]

yeah that was my first thought too. Why not go to base 6. Don't know why you'd have to fire up a program to do base 6 arithmetic though? it's just like binary or decimal or octal or hexadecimal(1+1=10, 9+1=10, 7+1=10, F+1=10)