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BusyBeaver(6) Is Quite Large

(scottaaronson.blog)
271 points bdr | 1 comments | 28 Jun 25 16:53 UTC | HN request time: 0.323s | source
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Scarblac ◴[28 Jun 25 17:29 UTC] No.44406478[source]▶
It boggles my mind that a number (an uncomputable number, granted) like BB(748) can be "independent of ZFC". It feels like a category error or something.
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Straw ◴[28 Jun 25 17:39 UTC] No.44406590[source]▶
The category error is in thinking that BB(748) is in fact, a number. It's merely a mathematical concept.
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1. Straw ◴[30 Jun 25 22:21 UTC] No.44428546[source]▶
To downvoters:

I'm well aware that BB(748) is an integer definable in classical logic. My claim is that "integer definable in classical logic" does not actually correspond well to what people mean by "number" in almost any other setting when pushed to extremes such as this.