Limbosic Numbers
Limbosic numbers have some very strange properties. For instance, the number 999... (a limitless amount of nines) is larger than any number with a limited amount of nines aka natural numbers. But, if you double this number, you get something like 1(999...)8. This number is strange because it has a limitless amount of nines in the middle, bounded on either side by the one and the eight. You can see how this forms by doubling 9, 99, 999, etc. But what happens if we set a reference? 999... = ...999 = 9...999 (all ways of writing limitless nines above the decimal). However, the doubled form is equal to 1...998, which is obviously smaller since 1 < 9. Do limbosic numbers get smaller when multiplied like this? Or am I just doing this incorrectly? I haven't been able to find any good sources explaining the workings of supermassive limbosic numbers outside of this subreddit, does anyone (especially SPP) know where I can find some papers/articles/etc about them?