| Title: | Mathematics at DEC |
| Moderator: | RUSURE::EDP |
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
This should be trivial, but you have to think twice to prove it. I maintain that the value of 2 raised to the 1 millionth power is equal to infinity. That is, for all purposes, the two are interchangeable. I make this statement on the basis that the numeric value of 2**1000000 is a number larger than the total sum of all the quanta in the universe. This therefore makes the number meaningless in reality standards and thus can be treated to as being equal to infinity. Prove me wrong. (note: proof should be concrete and not subject to 'intuition' or 'deduction')
| T.R | Title | User | Personal Name | Date | Lines |
|---|---|---|---|---|---|
| 338.1 | PISA::BRETT | Fri Oct 04 1985 17:14 | 17 | ||
Let M = 2**1000000.
If M is infinite, there is a one-to-one, onto, relationship between all the
integers and some subset of {1..M}. Let R denote any such relationship.
Restrict R to the domain {1..M+1}. This shows that there are M+1 numbers
in [1:M]. Hence M+1 < M. Hence 1 < 0. Hence something < nothing. Hence
you don't exist, since you are something and something is less than nothing.
alternative ending...
Hence 1 < 0, hence (by the Saddest Theorem) all assertions in
the logic resulting from assuming M=infinity are true. ie. your system has
NO FALSEHOODS AT ALL!
/Bevin
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| 338.2 | Combinations >> objects | AKQJ10::YARBROUGH | I prefer Pi | Mon Nov 14 1988 17:44 | 8 |
2^1000000? Puny! Suppose you check out $100,000 in small bills from your local bank. That's not beyond reason for a lot of people - you could sell your house. Now try to count in how many ways you can spend those dollar bills, one at a time. That comes to about 10^456,000, which is quite a bit larger than 2^1,000,000. Lynn | |||||