One can create faster and faster rising functions and larger and larger
number until one is blue in the face. The point is that no matter how
large a finite number n one defines, I can stand on the
shoulder of giants and do better by citing n+1 using simple addition. Now if somehow one came up with a finite number n so large that I
am not allowed to say n+1 as if I was up against an overflow
limitation similar to that found in computers, then there would be no
physical way for me to invent or cite a larger number. So it seems
that if we are to define a largest finite number we must define
it in conjunction with the number b of bits that we are allowed
to use to express this number. For a given number of bits b the largest
number would be n(b).If we use the Ackerman series of functions we need 1 bit for addition, 2 bits for multiplication, 3 bits for exponentiation, 4 bits for tetration etc... These bits are required in addition to the bits for the input parameter(s) of the function. What is the largest number of bits which are available to me to
define an Ackerman function or some other fast rising function?
Possibly the number of particles in the universe? I don't know if the
fairy would be satisfied or if I could personally herd all those bits.
Is she expecting me to hand in a piece of paper with the number written
on it? Maybe then the answer would be the number generated by the
largest Ackerman function that I can write with a very fine pen on this
piece of paper.George --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list -~----------~----~----~----~------~----~------~--~--- |

- Re: Smullyan Shmullyan, give me a real example George Levy
- Re: Smullyan Shmullyan, give me a real example Bruno Marchal
- Re: Smullyan Shmullyan, give me a real example Bruno Marchal
- Re: Smullyan Shmullyan, give me a real example Tom Caylor
- Re: Smullyan Shmullyan, give me a real examp... Bruno Marchal

- Re: Smullyan Shmullyan, give me a real example Bruno Marchal
- Re: Smullyan Shmullyan, give me a real example Bruno Marchal
- Re: Smullyan Shmullyan, give me a real example Russell Standish
- Re: Smullyan Shmullyan, give me a real examp... Bruno Marchal

- Re: Smullyan Shmullyan, give me a real example Kim Jones
- Re: Smullyan Shmullyan, give me a real examp... Bruno Marchal