[quote=Skepdick post_id=503772 time=1616509300 user_id=17350]
[quote=Advocate post_id=503748 time=1616504722 user_id=15238]
Abstractions are indefinite, not infinite. They must exist in the time and space at an actual brain.
[/quote]
The natural numbers are an infinite abstraction that is finitely defined using induction.
If you ask the computer - it'll give you as many numbers as your time allows....
[code]
GHCi, version 8.10.4:
https://www.haskell.org/ghc/ :? for help
Prelude> numbers = [0..]
Prelude> take 10 numbers
[0,1,2,3,4,5,6,7,8,9]
Prelude> numbers
[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14.......
[/code]
[/quote]
If they extend beyond the capacity of a mind to do something useful with them they're indistinguishable from fiction. That's a hard line epistemologically as well as pragmatically.