Polylog on The Busy Beaver

The moral of the story is that you can define many more numbers than you could ever know, and that it might be a good idea to ask whether this sort of definition actually counts as a definition at all. Just because you can describe it does not mean that it necessarily exists. See 50 Years of the Roche Biochemical Pathways Poster and Gödel's FIT (1931). 

Scott Aaronson interview:


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