Virgil
Posts:
4,482
Registered:
1/6/11
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Re: 0.9999.... = 1 means mathematics ends in contradiction
Posted:
Feb 10, 2013 6:04 PM
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In article <418a18e2-35ad-4f42-8fe9-adc94002c87e@googlegroups.com>,
spermatozon@yahoo.com wrote:
> On Sunday, February 10, 2013 8:22:37 AM UTC+11, Virgil wrote:
> > In article <189b26dd-5f7c-43e1-859c-3aa052e0ccae@googlegroups.com>,
> >
> > 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.
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