[AmishDude]

Think of performing arithmetic, but when you give the final answer, give the remainder upon division by 8.

1*1=1

3*3=1

5*5=1

7*7=1

Furthermore, if you multiply any two of {1,3,5,7}, you get something in that set. But with this kind of arithmetic, 1 has four square roots.

[MacDorcha]

But this (from the article) math is based in addition and groupings.

Though what you were going over intrigues me. But I don;t think I'm talking out of place in saying it does not dispute my assertion towards the article.