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I think Nat should only refer to inductive naturals: either the flat domain Nat = Z | S!Nat or the true discrete set. Nat should not contain values like x = S x since no natural number has that form. Instead, we should call the "lazy naturals" something else, perhaps the "supernatural numbers"?

Philip JF
– Philip JF

2013-02-18 17:28:40 +00:00
Commented Feb 18, 2013 at 17:28
@PhilipJF, do you also object to calling [] "list"?

luqui
– luqui

2013-02-18 19:27:30 +00:00
Commented Feb 18, 2013 at 19:27
1

a litte bit. Not as much as Nat though, since "list" is such a "cs" word, while naturals are a very well defined and important notion in mathematics.

Philip JF
– Philip JF

2013-02-18 20:07:29 +00:00
Commented Feb 18, 2013 at 20:07

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