Being excited about being wrong because either way it’s information
This literally is the basis of science that I think a lot of people misunderstand. Science doesn’t prove anything conclusively. What scientists try to do is disprove the leading theory and when they can’t, it adds to the pile of evidence that increases the likelyhood of the leading theory being correct. Even things that we’re very, very, very sure are correct are still like 99.99999999999…% confirmed.
A good example that’s often used to show how it’s more important to try to disprove a theory rather than trying to prove it is the existence of black swans. It was long thought that all swans were white and every time someone saw a white swan, that idea was reinforced. But when someone actually went out of their way to go looking for a black swan, they found a bunch of them!
It only signifies that the post-decimal nines are repeating infinitely. It still doesn’t make 99.99999…=100 unless you intentionally round the value for some nondescript reason, and even then, rounding off isn’t changing the value, only the perceived value for mathematical simplicity, not objective accuracy.
This literally is the basis of science that I think a lot of people misunderstand. Science doesn’t prove anything conclusively. What scientists try to do is disprove the leading theory and when they can’t, it adds to the pile of evidence that increases the likelyhood of the leading theory being correct. Even things that we’re very, very, very sure are correct are still like 99.99999999999…% confirmed.
A good example that’s often used to show how it’s more important to try to disprove a theory rather than trying to prove it is the existence of black swans. It was long thought that all swans were white and every time someone saw a white swan, that idea was reinforced. But when someone actually went out of their way to go looking for a black swan, they found a bunch of them!
I feel it is my pedantic duty to inform you that 99.9… is equal to 100.
Only if you’re rounding. 99.9 is still 1/10 of a digit separated from 100, but it’s not equal to 100 for good reason.
But the “…” matters.
It only signifies that the post-decimal nines are repeating infinitely. It still doesn’t make 99.99999…=100 unless you intentionally round the value for some nondescript reason, and even then, rounding off isn’t changing the value, only the perceived value for mathematical simplicity, not objective accuracy.