>>13401307>Infinity doesn't exist.Metaphysically infinity does not exist. Everything that exists is definite so whatever "it" is it cannot have infinite properties. But "infinity" exists as an abstraction in your mind and if your mind is real then infinity is real, i.e. epistemological infinity exists.
We know from math that Pi is an irrational number and cannot be represented by a ratio of integers. But the ratio of the circumference to the diameter of a circle is a definite relationship and it exists. That relation can be defined as an open-ended series of specifically defined terms but we abstract away from any specific finite sequence, i.e. it is infinite. This allow mathematicians to use Pi to represent the relationship of C/D without specifying any particular instance of it. To be precise, Pi is not actually a "number" but a relationship. It stands for a method for getting a rational number in any properly defined process of measurement. The abstraction allows mathematicans to continue the process of discovering further mathematical relationships beyond C/D.
Ultimately, math is about measurement of real things so when math is actually used the results have to yield a rational number and for Pi (and other such constants) the context determines the finite series. If you are tiling your circular patio then using Pi=22/7 is fine for calculating how much tile you'll need to buy. But if you want to send a probe to Mars then you will need to use more decimal places in order to reach your target, i.e. a longer but still finite series defining a rational number for Pi. Yes, even NASA knows that Pi is a rational number when it comes to measurement. In other words, the context of applying math determines the ratio of Pi and there is no problem of it being "infinite" or undefined because Pi identifies a relationship not a specific number.
