Kiddo wants to know, since numbers are infinite, doesn’t that mean that there must be a real number “bajillion”?

Question

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In: 4967

Answer 1

Strictly speaking, no. Even assuming that all numbers must be named, you could construct it so that numbers past the named universe are simply multiples of prior numbers. For example, if we had nothing past “million,” we could say “thousands of millions” for billions, and “millions of millions” for trillions, etc. So strictly speaking no need to repeat, though at some point you’d be talking about a million million million million million atoms.

If we decide that we’ll get a new word of that sort every few orders of magnitude, it’s still not guaranteed that one is “bajillion”: yes, there are infinite numbers, but there are also infinite words that aren’t bajillion. Infinities are weird like that.