Is 22π equal to 2 times 2π or is it equal to 11 times 2π? That is, is 22π equal to 2(2π) or (22)π? If 2π is a single symbol, then 22π would be equal to 2(2π), which would be really confusing.
What I was trying to say is that there is no need to introduce another symbol τ as we can simply refer to "the circle constant" as 2π. I am not suggesting to treat 2π as a single symbol in formulas.
The hard part is getting people to agree that 2pi is the true "circle constant" and that pi was a historical accident; once you've gotten over that hurdle agreeing that it should have its own symbol is a no-brainer.
Comments
Just think of 2π as a single symbol — the circle constant. Why do we need another name for 2π?
Is 22π equal to 2 times 2π or is it equal to 11 times 2π? That is, is 22π equal to 2(2π) or (22)π? If 2π is a single symbol, then 22π would be equal to 2(2π), which would be really confusing.
What I was trying to say is that there is no need to introduce another symbol τ as we can simply refer to "the circle constant" as 2π. I am not suggesting to treat 2π as a single symbol in formulas.
The hard part is getting people to agree that 2pi is the true "circle constant" and that pi was a historical accident; once you've gotten over that hurdle agreeing that it should have its own symbol is a no-brainer.