minor edits to Natural. End of work on Fri 29 Dec

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wadler 2017-12-29 15:58:21 -02:00
parent 1bd1f19f52
commit 92efda2162

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@ -83,9 +83,9 @@ rule tells us that `zero` is a natural number, but we already knew
that. But now the other rule tells us that since `zero` was a natural
number yesterday, `suc zero` is a natural number today.
-- on the second day, there are two natural numbers
zero
suc zero
-- on the second day, there are two natural numbers
zero
suc zero
And we repeat the process again. Once more, one rule tells us what
we already knew, that `zero` is a natural number. And now the other rule
@ -93,10 +93,10 @@ tells us that since `zero` and `suc zero` are both natural numbers, then
`suc zero` and `suc (suc zero)` are natural numbers. We already knew about
the first of these, but the second is new.
-- on the third day, there are three natural numbers
zero
suc zero
suc (suc zero)
-- on the third day, there are three natural numbers
zero
suc zero
suc (suc zero)
The process continues. On the *n*th day there will be *n* distinct
natural numbers. Note that in this way, we only talk about finite sets