Aether Posted May 2, 2019 Author Posted May 2, 2019 19 minutes ago, Goggles-kun said: It’s short for “NaNi?!” I guess!
takoyamaaaS Posted May 2, 2019 Posted May 2, 2019 you counted Rayo's Number! Good job! waiting for the Nobel Prize to be given out at this point 1
Aether Posted May 2, 2019 Author Posted May 2, 2019 19 minutes ago, B U L B D O G S said: Rayo Whodat?
takoyamaaaS Posted May 3, 2019 Posted May 3, 2019 11 minutes ago, Aetherskye said: Whodat? Rayo's number is one of the largest named numbers, coined in a large number battle pitting Agustín Rayo against Adam Elga.[1][2] Rayo's number is, in Rayo's own words, "the smallest positive integer bigger than any finite positive integer named by an expression in the language of first order set theory with a googol symbols or less." By letting the number of symbols range over the natural numbers, we get a very quickly growing function Rayo(n)Rayo(n) (alternatively expressed as FOST(n)FOST(n)[3]). Rayo's number is Rayo(10100)Rayo(10100). Rayo's function is uncomputable, which means that it is impossible for a Turing machine (and, by the Church–Turing thesis, any modern computer) to calculate Rayo(n)Rayo(n). Rayo's function is one of the fastest growing functions ever to arise in professional mathematics[citation needed]; only a few functions, especially its generalization, the FOOT (first-order oodle theory) function surpass it in strength. (Thanks Wikipedia)
Spacestar TheThundersuncat Posted May 3, 2019 Posted May 3, 2019 And why would it be this one and not one of the other, weirdly big numbers? Though I'm always glad that mathematics has been true to the childhood method of "infinity!", "No, infinity +1!", "NO! Infinity +2, +the smallest order of whatever you come up with!" 1
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