Post #2021679
2026-04-27 20:26 UTC
@11011110 JDH considered this question in https://www.infinitelymore.xyz/p/the-book-of-numbers?hide_intro_popup=true, initially for the standard US number words, but (perhaps wisely, but a little disappointingly) only worked out the answer for a simpler system in which each digit is named in turn, like reading a telephone number.
He concludes that the order type of the natural numbers in the alphabetical telephone number system is \(\mathbb{N}\cdot(1+\mathbb{Q})+1\)
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