Phillip, Jon:
If I divide the measured circumference by the diameter I will get a
rational number. So how come pi is irrational?
OR putting it the other way: *What is a point, that makes up a line?* I feel
happy if MY value is understood as yet another value *for all calculations*,
unless mathematicians/academecians are desirous to go deep enough. Agreed, I
am NOT!
Regards,
Brij Bhushan Vij
(Wednesday, Kali 5106-W41-03)/D-027 (Friday, 2006 January 27H19:91(decimal)
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From: "Philip S Hall" <[EMAIL PROTECTED]>
Reply-To: [EMAIL PROTECTED]
To: "U.S. Metric Association" <[email protected]>
Subject: [USMA:35887] RE: NEW Yard (yd') or Metre New (m') RE: Re: decimal
time
Date: Fri, 27 Jan 2006 20:53:57 -0000
Jon
In one of your documents you say: "Since by definition the value for Pi
is the ratio between the circumference of the circle to its diameter, it
must be representable in the form a/b ..."*
*
This is your fundamental mistake. The *vast* majority of numbers are
simply not expressible as integer ratios. Pi is just one of those.
There is no pair of integers (p, q) such that p/q = pi. None.
As a matter of interest Jon, how would you answer this challenge if someone
put it to you:
Suppose I have a disc and am able to measure it's diameter and its
circumference with complete accuracy using a unit of measurement as small
as I like. If I choose a small enough unit of measurement I will get a
whole numbers for both the diameter and circumference.
If I divide the measured circumference by the diameter I will get a
rational number. So how come pi is irrational?
Phil Hall
