3 ms·
I think what's important here is that if you're making that claim, 0.333... = 1/3 - 1/∞ Which implies 3/∞ = 1/∞
by __s 7y ago
I think what's important here is that if you're making that claim,
0.333... = 1/3 - 1/∞
Which implies 3/∞ = 1/∞
- calibas 7y agoApologies, I should have explained it differently. 0.999... implies a number infinitesimally smaller than 1. You wouldn't use 0.999... in a hyperreal system because you can represent it directly. I shouldn't have mixed different systems and claimed they're mathematically equivalent, you've proven that doesn't work.
- __s 7y agoAgreed, I think the main lesson from this topic is that decimal numbers are a pain. Stick to integers & symbolic operations. You can spit out a decimal approximation at the end Computers agree: never trust precision to floats