Re: 1-1/2+1/3-1/4+1/5-1/6+1/7
- From: Han de Bruijn <Han.deBruijn@xxxxxxxxxxxxxx>
- Date: Thu, 24 Jan 2008 14:16:27 +0100
David C. Ullrich wrote:
But it seems like you haven't been paying attention.
The problem is that some people here insist on talking
about infinite compositions _without_ worrying about
convergence.
Precisely! Consider again that function f(n) = n + 1 on the Naturals.
Then _all_ of the Naturals are generated by:
1 , f(1) , f(f(1)) , f(f(f(1))) , ... , f(f(f .. f(f(1)) .. )))
1 2 3 4 Infinity
Who is worrying about "convergence" to Infinity, except people like HdB?
And if (actual) Infinity is motivated, then it follows that an infinite
composition like f(f(f .. f(f(1)) .. )) is likewise motivated. Not!?
Han de Bruijn
.
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