funny math

Dec. 25th, 2012 05:56 pm
juan_gandhi: (Default)
"No explicit example of a nonprincipal ultrafilter can be given, since their existence implies a weak form of the axiom of choice."

Since actually it is known that codensity monad is actually the ultrafilter monad, and codensity monad is somehow related to continuation monad (or is it the same? probably not), we are supposed to use the weak AC in our Haskell code to prove properties of object which by their nature cannot be demonstrated.

OMFG.

funny math

Dec. 25th, 2012 05:56 pm
juan_gandhi: (Default)
"No explicit example of a nonprincipal ultrafilter can be given, since their existence implies a weak form of the axiom of choice."

Since actually it is known that codensity monad is actually the ultrafilter monad, and codensity monad is somehow related to continuation monad (or is it the same? probably not), we are supposed to use the weak AC in our Haskell code to prove properties of object which by their nature cannot be demonstrated.

OMFG.

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juan_gandhi: (Default)
Juan-Carlos Gandhi

September 2025

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