[real numbers: complex or not ?] - A New Kind of Science: The NKS ForumA New Kind of Science: The NKS Forum
Pages:1
real numbers: complex or not ?
(Click here to view the original thread with full colors/images)
Posted by: Philip Ronald Dutton
Why treat the Real numbers ( minus the integers ) with the same "dignity" as the Integers? In other words, at the point of definition of the real numbers (back in history) why did those thinkers decide that they wanted the real numbers (minus the integers) to afford such luxuries as "can be defined" or "can be computed with some algorithm."
Numbers such as PI (or other irrational numbers) might not really be numbers. Why do people keep "casting" PI to the mold of "definability" via substitution of a formula? Is it a number or is it not?
Maybe PI and her other cousins are simply computations (or algorithms) - call them green little men- which accidentally got cast as numbers because we force the use of an interface of numbers. Our arsenal of experimental probes are always numbers. The probes bounce off the target (Pi) and we are still looking at numbers. But does that mean the thing is a number?
We define our irrational numbers implicity via algorithmic operations such as division... did you catch that? We D E F I N E numbers like Pi to be equal to some algorithm. For example, is PI equal to 3.1415... ??? NO! It is equal to a parameterized division operation.
Will PI speak up? Why are you content to stand in the crowd of numbers when you are not a number?
Are you for PI or are you against her?
Free PI from numerics foundation dot com.
Thanks.
Posted by: Philip Ronald Dutton
It is not a number. It does not result in a number. It is an algorithm. It is division. It continues and continues and does not stop unless it happens to close on an integer.
Pi is a ratio. It never was a number.
Posted by: Gershom Zajicek M.D.
We define our irrational emotions implicitly via operations such as a KISS. . . did you catch that? We D E F I N E words like KISS to be equal to some action. For example, is my KISS the same as yours? NO! I am simply the best!
Will KISS speak up? Why are you content to stand in the crowd of words when you are not a word?
Are you for KISS or are you against her?
Free KISS from the prison of words!
Thanks
Posted by: Vasily Shirin
Hurrah! NKS disproves real numbers!
GO NKS GO!!!
Posted by: Philip Ronald Dutton
In light of the "philosophy" of NKS, KISS (Keep It Simple Saints!).
(I couldn't resist)
Forum Sponsored by Wolfram Research
© 2004-2008 Wolfram Research, Inc. | Powered by vBulletin 2.3.0 © 2000-2002 Jelsoft Enterprises, Ltd. |
Disclaimer
vB Easy Archive Final - Created by Xenon and modified/released by SkuZZy from the Job Openings