I don't believe in the physical reality of real numbers, but that doesn't detract from the their extreme usefulness as an abstraction. For that matter the negative numbers don't really exist. Nor do fractions or zero. They're all just convenient because they do a great job modeling situations we care about in a consistent way. Or at least consistently enough for everyday needs.
It was a bit of a mind bender initially coming to this conclusion, but shrug.
It was a bit of a mind bender initially coming to this conclusion, but shrug.