3 ms·
> I'm not sure what you mean by the universality of math. There exist different algebras which define addition differently. Yet each one is self-consistent and
by CyberRabbi 5y ago
> I'm not sure what you mean by the universality of math. There exist different algebras which define addition differently.
Yet each one is self-consistent and potentially independently discoverable by sentient life forms light years away from us, even though these different algebras have no material form.
> But consider 0.1 + 0.2. Ask a human, and they'll tell you it's 0.3. Ask a computer, and it'll likely tell you it's 0.3000000000000004
Just because the computer performs imprecise arithmetic does not make .1+.2=.300000004 a meaningful statement from which an entire self-consistent arithmetic system can be derived. The computer’s result is in error. It’s called floating point error.