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

Replies: 2   Last Post: Oct 1, 2017 4:19 PM

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Me

Posts: 1,713
Registered: 1/23/16
Re: It is a very bad idea and nothing less than stupid to define 1/3
= 0.333...

Posted: Oct 1, 2017 4:08 PM
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On Sunday, October 1, 2017 at 10:05:23 PM UTC+2, John Gabriel wrote:
> On Sunday, 1 October 2017 15:01:36 UTC-5, Me wrote:
> > On Sunday, October 1, 2017 at 9:54:51 PM UTC+2, Me wrote:
> > > On Sunday, October 1, 2017 at 9:48:24 PM UTC+2, John Gabriel wrote:
> > > > On Sunday, 1 October 2017 14:38:14 UTC-5, Me wrote:
> > > > > On Sunday, October 1, 2017 at 9:32:32 PM UTC+2, John Gabriel wrote:
> > > > >
> > > > > "It is a very bad idea and nothing less than stupid to define 1/3 = 0.333..."
> > > > >
> > > > > Why?
> > > > >
> > > > > "0.333..." is just short for
> > > > >
> > > > > lim SUM_{k=1..n} (3/10^n)
> > > > > n->oo

> > > >
> > > > Wrong. It is short for
> > > >
> > > > SUM_{k=1...oo} (3/10^n)

> > >
> > > John, you really should seek some help.
> > >
> > > I guess, you once KNEW that
> > >
> > > SUM_{k=1...oo}
> > >
> > > is just short for
> > >
> > > lim SUM_{k=1..n} .
> > > n->oo
> > >
> > > Hint: We CAN'T actually "sum up" infinitely many terms.

> >
> > Additional comment:
> >

> > > > SUM_{k=1...oo} (3/10^n)
> > > >

> > > [...] It is most definitely not the same as 1/3
> >
> > Well, actually it is. There's a simple prove for the theorem
> >
> > lim SUM_{k=1..n} = 1/3 .
> > n->oo
> >
> > Hence
> >
> > oo
> > SUM (3/10^n) = 1/3 .
> > k=1

>
> No idiot. You define
>
> oo
> SUM (3/10^n) = 1/3 [A]
> k=1
>
> as being equal to
>
> lim SUM_{k=1..n} = 1/3 [B]
> n->oo
>
> Get it moron? You DEFINE [A] = [B] aka S = Lim S.
>
> There is NO PROOF of anything. Definitions do not require proof.





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