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Sure, you could define some sort of number system that has an infinite point digit. I doubt that’s what the original poster had in mind though.
by hilbertseries 6y ago
Sure, you could define some sort of number system that has an infinite point digit. I doubt that’s what the original poster had in mind though.
- klodolph 6y agoThese number systems already exist, I’m not just making them up. If someone says 0.666…7 then you have a couple different ways you can take the discussion. You can say, “No! Real numbers don’t work like that!” or you can talk about what number systems would look like if you can do that. It turns out that there’s a lot to learn from the alternative number systems, including formulations of calculus without limits that are easier to understand from an intuitive perspective, yet equally rigorous. The field is called “nonstandard analysis”. It’s not taught in college.