0.99… doesn’t equal 1 in, say, base 16. 0.11… can be 1/9 in decimal, or 1 in binary. Those equalities aren’t a “matter of fact”, they’re provable artefacts of

0.99… doesn’t equal 1 in, say, base 16. 0.11… can be 1/9 in decimal, or 1 in binary. Those equalities aren’t a “matter of fact”, they’re provable artefacts of positional number systems.