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Article #1707

Re: Real Numbers vs. Rational Numbers?

#1707
From: Frank-Roland Boernke
Date: Sun, 03 Jan 1993 15:13
28 lines
1527 bytes
[... deleted ...]
|> 
|> Calculate PI * PI.
|> Answer: PI*PI.
|> 
|> Since "PI*PI" is a finite representation of PI * PI from which one can
|> algorithmically computer any of its digits in finite time, this counts as a
|> valid answer.
|> 
|> If you don't consider this valid, then neither will you consider this valid:
|> 
|> Calculate: 2 / 5
|> Answer: 2/5.
|> 
|> So then on that account, computers can't even work with fractions.

I think there IS a difference:

For 2/5 you can find a finite numeric representation ( 0.4 )
for PI or PI*PI you cannot!



 
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Frank Boerncke                       ,,,   University of Passau - Germany
boerncke@kirk.fmi.uni-passau.de     (.~.)            phone: +49 0851 2267
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From: boerncke@kirk.fmi.uni-passau.de (Frank-Roland Boernke)
Subject: Re: Real Numbers vs. Rational Numbers?
Message-ID: <1993Jan3.151347.29159@tom.rz.uni-passau.de>
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Organization: University of Passau, Germany
References: <1992Dec16.095412.19570@tom.rz.uni-passau.de> <1992Dec16.222628.27208@ringer.cs.utsa.edu> <1992Dec17.142150.7932@tom.rz.uni-passau.de> <1hi8dvINN5l2@uwm.edu>
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Date: Sun, 3 Jan 1993 15:13:47 GMT
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