pi + pi + pi + (.141592... of pi) ~= 9.8696
You need the concept of a ratio, so arguably I'm using multiplication to define multiplication, but you're sort of cheating by asking about a fractional number.
You need the concept of a ratio, so arguably I'm using multiplication to define multiplication, but you're sort of cheating by asking about a fractional number.
And that's my point, basically - By the time we're discussing real numbers, we need multiplication as an operator, because we're discussing ratios already.
While it's true, it obscures the fact that pi is defined as a fraction: Circumference/Diameter.
That this fraction cannot be represented as a numeric fraction is one of the great insights of early mathematics.