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Topic: Re: It is a very bad idea and nothing less than stupid to define 1/3
= 0.333...

Replies: 42   Last Post: Oct 9, 2017 11:53 AM

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 Jim Burns Posts: 828 Registered: 9/26/15
Re: It is a very bad idea and nothing less than stupid to define 1/3
= 0.333...

Posted: Oct 3, 2017 10:53 AM

On 10/3/2017 8:20 AM, FromTheRafters wrote:

> But 0.999 repeating is a rational number, no need for repeating
> decimals at all in the naturals. Repeating zeros is okay I guess,
> but why use them in the naturals. In the rationals and reals,
> repeating zeros are called 'terminating' decimal expansions and
> the trailing zeros are elided.

Infinite decimals represent real number "fractions".
The need for 0.999..., such as it is, is for _some real number_
to be assigned appropriately to every infinite decimal expansion.
It's the same reason we assign the infinite decimal 0.1234000...
to the terminating decimal 0.1234. We want 0.1234000... to be
_something_ . What else would it be?

Date Subject Author
10/2/17 Guest
10/2/17 netzweltler
10/2/17 Jim Burns
10/3/17 netzweltler
10/3/17 FromTheRafters
10/3/17 Jim Burns
10/3/17 FromTheRafters
10/3/17 Jim Burns
10/3/17 FromTheRafters
10/3/17 netzweltler
10/3/17 bursejan@gmail.com
10/4/17 netzweltler
10/3/17 FromTheRafters
10/3/17 Jim Burns
10/3/17 FromTheRafters
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10/4/17 Jim Burns
10/4/17 netzweltler
10/5/17 Jim Burns
10/5/17 netzweltler
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10/5/17 netzweltler
10/5/17 Jim Burns
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10/5/17 FromTheRafters
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10/7/17 FromTheRafters
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10/8/17 Jim Burns
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10/9/17 Jim Burns
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10/7/17 Jim Burns