
On Sun, 2009-01-18 at 18:17 +0100, Benja Fallenstein wrote:
On Sun, Jan 18, 2009 at 5:48 PM,
wrote: I noticed the Bool datatype isn't well documented. Since Bool is not a common English word, I figured it could use some haddock to help clarify it for newcomers.
-- |The Bool datatype is named after George Boole (1815-1864). -- The Bool type is the coproduct of the terminal object with itself.
Russell, this does seem like it might be very helpful, but it might be useful to include a note about what category you are working in. People may sometimes naively assume that one is working in the category of Haskell/Hugs/GHC data types and Haskell functions, in which there are no terminal -- or initial -- objects
The naive way of making a "Haskell" category doesn't even work. Taking objects to be Haskell types, all Haskell functions as arrows, arrow equality being observational equality, and (.) and id to be the composition and identity, you fail to even have a category. Proof of this is left as an (easy) exercise for the reader.