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Topic: 0.9999.... = 1 means mathematics ends in contradiction
Replies: 37   Last Post: Mar 18, 2013 9:27 PM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: 0.9999.... = 1 means mathematics ends in contradiction
Posted: Feb 10, 2013 6:04 PM

spermatozon@yahoo.com wrote:

> On Sunday, February 10, 2013 8:22:37 AM UTC+11, Virgil wrote:
> >
> > spermatozon@yahoo.com wrote:
> >
> >
> >

> > > you say
> >
> > > "The numeral "0.999..." (name of a number) ..."
> >
> > >
> >
> > > the symbol/numeral "0.999..." represents a number that never ends
> >
> >
> >
> > FALSE!
> >
> >
> >
> > I say that "0.999..." represents a number.
> >
> >
> >
> > You are the only one here claiming that "it never ends".
> >
> >
> >
> > Any numeral expressed in decimal notation represents a finite real
> >
> > number, and if its decimal expression is eventually periodic (repeats
> >
> > some finite digit sequence from some decimal place onwards) represents a
> >
> > finite rational number.
> >
> >
> >
> > If you do not know at least that much about the meaning of decimal
> >
> > numerals you should not be displaying your ignorance here.
> >
> > --

>
> you say
> "Any numeral expressed in decimal notation represents a finite real
>
> number"
>
> so are you saying there are no infinite decimal, ie any number that
> contains an endless line of digits after a decimal point

0.333... is expressed, at least to me, as a decimal.

So what you are claiming I said is not what I actually said.
>
> is 0.3333... an endless decimal ie never ends,

It is a decimal. All decimals are, at least in theory, endless strings,
though, by custom, one may omit trailing zeroes after the decimal point.
--

Date Subject Author
2/8/13 byron
2/8/13 Virgil
2/8/13 JT
2/8/13 Virgil
3/16/13 Earle Jones
3/16/13 Virgil
3/16/13 ross.finlayson@gmail.com
3/18/13 Brian Q. Hutchings
2/8/13 J. Antonio Perez M.
2/8/13 byron
2/8/13 Virgil
2/8/13 byron
2/8/13 AP
2/8/13 forbisgaryg@gmail.com
2/8/13 byron
2/8/13 bacle
2/8/13 harold james
2/8/13 Pfsszxt@aol.com
2/8/13 byron
2/8/13 Virgil
2/8/13 byron
2/8/13 Virgil
2/8/13 bacle
2/9/13 JT
2/9/13 Virgil
2/13/13 Brian Q. Hutchings
2/8/13 byron
2/9/13 bacle
2/9/13 Virgil
2/9/13 byron
2/9/13 Virgil
2/10/13 byron
2/10/13 Virgil
2/14/13 byron
2/14/13 Brian Q. Hutchings
2/15/13 Brian Q. Hutchings
2/10/13 byron
2/14/13 Wally W.