Real number is often just another approximation on the way to the true value. You are still counting spherical cows in vacuum.
Area of a platonic circle is a real number, area of an actual circle is discrete, but varies depending on how you draw the border.
You can count atoms and get your volume of the tree in integers that way. Bonus points for being temperature and pressure independent (more so than a volume of the spherical tree in vacuum anyway).
I guess they call those numbers irrational because they are never represented physically and thus are a pure figment of imagination. :)
Area of a platonic circle is a real number, area of an actual circle is discrete, but varies depending on how you draw the border.
You can count atoms and get your volume of the tree in integers that way. Bonus points for being temperature and pressure independent (more so than a volume of the spherical tree in vacuum anyway).
I guess they call those numbers irrational because they are never represented physically and thus are a pure figment of imagination. :)