Postulating a universe like that is to postulate different laws of logic. I don’t think most people expect rationality to work in universes with different laws of logic.
What I postulated though, maintains the same laws of logic, but postulates different abilities, such as the ability to instantly conceive of and communicate arbitrarily large numbers. This is the kind of universe that rationality should still be able to function in, because rationality only depends on logic (plus some kind of goal that is taken axiomatically).
Further, if you don’t want to accept these abilities, we can imagine a ,magical device that compensates for any time/effort required in picking a larger number.
It’s all connected. You probably need different laws of logic to get a magical device or to allow for people to “instantly conceive of and communicate arbitrarily large numbers.” See EY’s Universal Fire where he wrote “If you stepped into a world where matches failed to strike, you would cease to exist as organized matter. Reality is laced together a lot more tightly than humans might like to believe.”
The laws of logic don’t prohibit minds with infinite states from existing, nor do they prohibit waves with infinite frequencies existing, nor eyes that can detect infinite variation in frequency. These aren’t properties of our world, but they don’t contradict logic. “It’s all connected somehow, but I can’t show how”—seems a bit like magical thinking.
Postulating a universe like that is to postulate different laws of logic. I don’t think most people expect rationality to work in universes with different laws of logic.
What I postulated though, maintains the same laws of logic, but postulates different abilities, such as the ability to instantly conceive of and communicate arbitrarily large numbers. This is the kind of universe that rationality should still be able to function in, because rationality only depends on logic (plus some kind of goal that is taken axiomatically).
Further, if you don’t want to accept these abilities, we can imagine a ,magical device that compensates for any time/effort required in picking a larger number.
It’s all connected. You probably need different laws of logic to get a magical device or to allow for people to “instantly conceive of and communicate arbitrarily large numbers.” See EY’s Universal Fire where he wrote “If you stepped into a world where matches failed to strike, you would cease to exist as organized matter. Reality is laced together a lot more tightly than humans might like to believe.”
The laws of logic don’t prohibit minds with infinite states from existing, nor do they prohibit waves with infinite frequencies existing, nor eyes that can detect infinite variation in frequency. These aren’t properties of our world, but they don’t contradict logic. “It’s all connected somehow, but I can’t show how”—seems a bit like magical thinking.