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How did the Romans do mathematics with a letter based numeric system? How did they know that X * X = C? And I'm guessing that they didn't have fractions either, or something analogous to decimals...."I've just cut this gladiator in I/II!"
Does that mean that they are imaginary numbers then because they don't appear to have real correlates. I had one ice cream C**netto today but I cannot count zero ice creams or an infinity of them... 
Slightly off track, but i have always wondered why kids are tought their Zero times table.