In the case of both pie and in Graham's number, we have a definition of it. But if we were to actually write out the number, the story changes a lot. If you write out the entire decimal expansion of pie, it never ends. So there was never any question of holding the decimal expansion of Pie in your head. It's just infinity is bigger than a finite number, so you can't do it. That is the implication. The thing that Tony was making about Graham's number is that it is a finite number. You might think you could hold it in your head, right? No one ever thought you could hold all the digits of pie in your head,. but
Welcome to the November 2022 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Patreons, whittle them down to a more manageable number — based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good — and sometimes group them together if they are about a similar topic. Enjoy!
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