X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=exercises%2F_assignment4.mdwn;fp=exercises%2F_assignment4.mdwn;h=226741e14c1f136f738019543eeea238351aa9fa;hp=33c7e779c648643843d734ea71696bb54252c593;hb=f18d270f9c73466e1ec28afb184a0fdb3fc343af;hpb=5c234a526ad9ecc96ae9d17b6f74de53a0354444 diff --git a/exercises/_assignment4.mdwn b/exercises/_assignment4.mdwn index 33c7e779..226741e1 100644 --- a/exercises/_assignment4.mdwn +++ b/exercises/_assignment4.mdwn @@ -107,10 +107,10 @@ satisfies the following constraints, for any finite natural number `n`: n ^ inf == inf leq n inf == true - (Note, though, that with some notions of infinite numbers, operations like `+` and `*` are defined in such a way that `inf + n` is different from `n + inf`, and does exceed `inf`.) + (Note, though, that with *some* notions of infinite numbers, like [[!wiki ordinal numers]], operations like `+` and `*` are defined in such a way that `inf + n` is different from `n + inf`, and does exceed `inf`.) -9. Prove that `add 1 ξ <~~> ξ`, where `ξ` is the fixed -point you found in (1). What about `add 2 ξ <~~> ξ`? +9. Prove that `add ξ 1 <~~> ξ`, where `ξ` is the fixed +point you found in (1). What about `add ξ 2 <~~> ξ`? Comment: a fixed point for the successor function is an object such that it is unchanged after adding 1 to it. It makes a certain amount of sense