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Topic: Uncountability of the Real Numbers Without Decimals
Replies: 110   Last Post: Dec 10, 2013 4:33 AM

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 wolfgang.mueckenheim@hs-augsburg.de Posts: 3,394 Registered: 10/18/08
Re: Uncountability of the Real Numbers Without Decimals
Posted: Dec 3, 2013 1:58 AM

Am Dienstag, 3. Dezember 2013 04:02:09 UTC+1 schrieb Zeit Geist:

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> > I did not. I know Cantor's first "proof" very well.
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> If you didn't keep reading, how do you know it was a rendition of Cantor's First Proof?

I saw it immediately. And I know what you seem to have forgotten: The limit of a sequence is never defined by the terms of the sequence, how many you ever may calculate. The limit is defined by the *formula*, the definition of the sequence. This is the starting point of Cantor's first proof: Sei irgendeine Folge *gegeben*. With this assumption the limit is given as a defined number. To waste all naturals for the enumeration of the terms of the sequence is a very simple trick. Not convincing.

Regards, WM

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12/2/13 William Elliot
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12/2/13 G. A. Edgar
12/2/13 Tucsondrew@me.com
12/2/13 wolfgang.mueckenheim@hs-augsburg.de
12/2/13 gnasher729
12/2/13 wolfgang.mueckenheim@hs-augsburg.de
12/2/13 Virgil
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12/3/13 wolfgang.mueckenheim@hs-augsburg.de
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12/5/13 wolfgang.mueckenheim@hs-augsburg.de
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12/3/13 Virgil
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12/5/13 Tucsondrew@me.com
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12/7/13 wolfgang.mueckenheim@hs-augsburg.de
12/7/13 Virgil
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12/6/13 Tucsondrew@me.com
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12/6/13 Virgil
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12/7/13 fom
12/7/13 wolfgang.mueckenheim@hs-augsburg.de
12/7/13 Virgil
12/7/13 fom
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12/7/13 Virgil
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12/7/13 Virgil
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12/2/13 Tucsondrew@me.com
12/2/13 wolfgang.mueckenheim@hs-augsburg.de
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12/3/13 wolfgang.mueckenheim@hs-augsburg.de
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12/3/13 wolfgang.mueckenheim@hs-augsburg.de
12/3/13 Virgil
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12/3/13 gnasher729
12/3/13 wolfgang.mueckenheim@hs-augsburg.de
12/3/13 gnasher729
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
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12/3/13 Virgil
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12/3/13 Tucsondrew@me.com
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Tucsondrew@me.com
12/5/13 Tucsondrew@me.com
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12/3/13 wolfgang.mueckenheim@hs-augsburg.de
12/3/13 Tucsondrew@me.com
12/5/13 wolfgang.mueckenheim@hs-augsburg.de
12/5/13 Tucsondrew@me.com
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12/7/13 Virgil
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