Virgil
Posts:
8,833
Registered:
1/6/11


Re: 0.9999.... = 1 means mathematics ends in contradiction
Posted:
Feb 10, 2013 6:04 PM


In article <418a18e235ad4f428fe9adc94002c87e@googlegroups.com>, spermatozon@yahoo.com wrote:
> On Sunday, February 10, 2013 8:22:37 AM UTC+11, Virgil wrote: > > In article <189b26dd5f7c43e1859c3aa052e0ccae@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. 

