Edit as @copper.hat said, this topic is meant to be"less about mathematics and more about semantics"
Hi so i was discussing the definition of π and the subject of finding an exact value for π with a friend of mine, and here are some thoughts that came up. Edit: In reference to the Hindu–Arabic numeral system (0-10)
- If one could create or at least imagine a perfect circle, and know the radius and, for example, area of said circle, shouldn't one be able to find an exact value for π?
- π has been proven to be an irrational number and therefore cannot be expressed as a ratio of integers and, when written as decimal numbers, do not terminate, nor do they repeat. But couldn't that be the case because our numeral system might be flaved?
- So could one ever come up with an exact value for π by for example inventing a new numeral system or is it impossible for a human to ever find it?
- And if someone if of the opinion that you can never find an exact number for π, wouldn't that mean that we could never never know the exact area of a circle? The exact area should exist as far as i know but is it just that we wouldn't be able to know it?
I'll update more thoughts if the discussion gets going, or simply rest my case if i have been thinking about this from the wrong angle.
Be nice :)!