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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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 netzweltler Posts: 473 From: Germany Registered: 8/6/10
Re: It is a very bad idea and nothing less than stupid to define 1/3
= 0.333...

Posted: Oct 9, 2017 11:14 AM

Am Montag, 9. Oktober 2017 12:45:19 UTC+2 schrieb Jim Burns:
> On 10/9/2017 3:58 AM, netzweltler wrote:
>

> > I'm going to be charitable and assume that you didn't get my
> > argument. 1 and 2 is to the right of all of the segments
> > ([1-1/10^(n-1), 1-1/10^n])n?N, 0.999... is not.

>
> Is 0.999... =< 0.9 ? No, because 0.99
> Is 0.999... =< 0.99 ? No, because 0.999
> Is 0.999... =< 0.999 ? No, because 0.9999
> ...
>
> If 0.999... has a value, that value is not less than 1.

Since there is no line
Is 0.999... =< 1 ?
you cannot conclude that from the list above.

> By a separate argument, if 0.999... has a value,
> that value is not larger than 1.
>
> If you say that 0.999... has a value, that value is 1.
>
> If you _don't_ say that 0.999... has a value, then you have
> not defined 0.999... , and you should stop saying that
> 0.999... means infinitely many commands, not even for
> _what you mean_ because there _is no_ "what you mean".
>
> Anyway, whatever it is you mean or don't mean is beside the
> point, which is that _the standard meaning_ of 0.999...
> does not mean infinitely many commands.
>
> This is actually a better reason to stop saying that,
> but it looked for a moment as though you intended your
> infinite sum 0.9 + 0.09 + 0.009 + ... to mean something.
> I just wanted to point out that, if it means something,
> it means 1.

I can define 0.999... to mean "infinitely many additions" without having to assign a value to it. In fact "infinitely many additions" means "not assigning a value to it".

I just wanted to point out that 0.999... means "something".

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
10/3/17 netzweltler
10/3/17 Jim Burns
10/4/17 netzweltler
10/4/17 Jim Burns
10/4/17 netzweltler
10/5/17 Jim Burns
10/5/17 netzweltler
10/5/17 Jim Burns
10/5/17 netzweltler
10/5/17 Jim Burns
10/5/17 netzweltler
10/5/17 Jim Burns
10/5/17 FromTheRafters
10/6/17 netzweltler
10/6/17 Jim Burns
10/7/17 FromTheRafters
10/8/17 FromTheRafters
10/8/17 netzweltler
10/8/17 Jim Burns
10/8/17 netzweltler
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10/9/17 Jim Burns
10/9/17 netzweltler
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