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Topic: Basic notation question
Replies: 1   Last Post: Jul 14, 2013 9:53 AM

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Posts: 1
Registered: 7/9/13
Basic notation question
Posted: Jul 9, 2013 2:54 PM
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I'm trying to work through William Coppels Number Theory book, and I'm having a hard time with notation. In the section defining the natural numbers he gives this proposition:

Given a set A, and element a1 of A and a map T: A->A, there exists exactly one map p:N->A such that:
p(1) = a1 and p(S(n)) = Tp(n) for every n that is a member of N
Where S(n) is a function that gives the next element in a set after n and N are the natural numbers.

My question is: What is Tp(n)? Is that the same as T(p(n))? The notation is somewhat confusing (to me).


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