How can we be completely sure that a number is really infinite and does not end in millions of additional digits?
In: Mathematics
Do you mean like irrational numbers? There are mathematical proofs showing them to be irrational. Any rational number can be expressed as a/b, where a is an integer and b is a non-zero integer. Both a and b cannot be even at once because then they simplify
Square Root of two is proven not to be rational [This page explains it better than I can type](https://www.math.utah.edu/~pa/math/q1.html) The proofs Pi is irrational are a bit too complicated to simplify [Just look at them](https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich%27s_proof) If someone else can post an ELI5 answer for Pi, more power to them.
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