Re: Smullyan Shmullyan, give me a real example

2006-05-21 Thread Tom Caylor
I've been working on this off and on when I get a chance, even before my first guess. My version of this defines an operation as a recursive function f(N,m,n), where N is the degree of the operation. m is one of the operands. n is the other operand, which is the counting operand. n is the

Re: Smullyan Shmullyan, give me a real example

2006-05-21 Thread Tom Caylor
To be slightly more clear d(m,n) = f(1,m,f(2,m,f(3,m,f(4,m,...f(n,m,n)...) Note that the it's only the innermost function that has degree n. To simplify things, I suppose we could just consider f(n,m,n) by itself. This has the same property that as n approaches infinity, the degree of