Observable, but not provable, at least not mathematically. It used to bother me that all our knowledge and I mean all human knowledge, is an approximation to truth and fact. We can observation and interpret and approximate with remarkable accuracy but every aspect of our live is lived with some gap of the undefined or unknown. This gap is closed with what theologians call faith and scientists call theory. It's entertaining to contemplate while fishing or smoking a nice cigar.
Indeterminable, not unprovable. No one doubts pi.
It used to bother me that all our knowledge and I mean all human knowledge, is an approximation to truth and fact
Why?
We can observation and interpret and approximate with remarkable accuracy but every aspect of our live is lived with some gap of the undefined or unknown
I think that is a sweeping generalization. There is no gap in our knowledge that the earth is round, that the sun doesn't go around us but we around the sun, etc. There are a lot of things we know for sure. The "gap" has to do with the degree to which we know things.
Most humans seme to have difficulty accepting that perhaps they are not capable of knowing everything; some even believe they are entitled to knowing everything.
This gap is closed with what theologians call faith and scientists call theory
Not really closed. Theory and faith are very much open-ended, by definition; but some mistakenly take them as close-ended.
It's entertaining to contemplate while fishing or smoking a nice cigar.
All of which is the benefits of the artificial world we created that makes us comfortable enough to engage in such trivia. We live in a bubble called the civilized world, which has no bearing to the world around us.