User blog:PlantStarAlpineer0/How Many Numbers Could Be Named?

More specifically, how many numbers would we have if we were to run out of names for them?

You know of one, two, ten, hundred, thousand, million, billion, googol, googolplex, grangol, giggol, goppatoth, megotetrommthet, tarintar, Loader's number, BIG FOOT, etc. How many more numbers could we name? Well... quite a lot. So many that if googology were to continue growing at the rate that it is right now, we wouldn't have reached a wall until at least a million years from now.

Once we reach that point where names for numbers become random strings of alphanumeric characters or names that are over a thousand letters long, where do we go? Once we reach that crisis, are there other ways to name numbers? If we started using accents, we can go much further, but we will hit yet another wall.

Will googology stop at THAT point, or will it keep going and going, with people not caring if the names are random strings of alphanumeric characters or over a thousand letters long? There will be duplicates, sure, but they are out of the picture.

Anyway, let's dig a little deeper. How many THINGS can we give pronounceable names? According to Michael Stevens of the popular YouTube channel Vsauce, there are 105 consonant-vowel pairs, and every star in the observable universe can be named with just 24 letters. There are 12 pairs in each such star name, so 105^12 is 1,795,856,326,022,129,150,390,625. Wow.

However, that only counts for consonant-vowel pairs. What of CVC, CVV, or CVVC? Well, that can also be calculated. In 24 letters, the number of CVV combinations possible is 5,771,310,327,301,025,390,625, the number of CVC combinations possible is 3,085,326,833,683,012,928,100,000,000, and the number of CVVC combinations possible is 4,001,504,141,376,000,000,000,000.

If you add them all up, you'll have 1.2053091191479271892058754882813e+33, which is quite a lot of numbers to name.

Anyway, that's how many numbers we could name. This blog post took quite a while to make. I'll see you next time!