A New Kind of Science: The NKS Forum > NKS Way of Thinking > real numbers: complex or not ?
Author
Philip Ronald Dutton
independent
Columbia, SC

Registered: Feb 2004
Posts: 172

real numbers: complex or not ?

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.

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12-08-2005 08:50 PM
Philip Ronald Dutton
independent
Columbia, SC

Registered: Feb 2004
Posts: 172

What is a Ratio?

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.

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12-09-2005 05:59 PM
Gershom Zajicek M.D.
Hebrew University of Jerusalem
Jerusalem, Israel

Registered: Feb 2004
Posts: 152

Variation on a theme

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

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12-10-2005 07:28 PM
Vasily Shirin

Registered: Jun 2004
Posts: 78

Hurrah! NKS disproves real numbers!
GO NKS GO!!!

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12-11-2005 06:36 PM
Philip Ronald Dutton
independent
Columbia, SC

Registered: Feb 2004
Posts: 172

KISS

In light of the "philosophy" of NKS, KISS (Keep It Simple Saints!).

(I couldn't resist)

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12-12-2005 04:00 AM

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