[split] 0.999... equals 1

[Edwardo Piet]

You completely miss the point - but you also seem to blindly accept - so really there's no point talking with you. Same with everyone - you're so sure you're right you've given up thinking. As Leo says.. you're spouting theistic crap!

I don't blindly accept, it makes sense. It's not thesitic crap, it applies to everyone, it's logic. It doesn't just apply to theists, and it isn't "crap".

As I said, there can be no gap between 0.9r and 1 so they must be the same number.

At every point along the infinite series, there is a tenth shortfall, infinitely. Maybe it can be written 10-0.1r

But this "shortfall" cannot be any less than 1 at all, because the infinite string goes on forever... so it must be equal to 1. So how is it really a "shortfall" when it goes on for infinity? 0.9r is decimal for 1.

We knot???

I mean't "we know", it was a typo and I think you 'knot' that very well...

How can there be no gap if there's a tenth gap to infinity - you talk shite!

There can be no gap because if there was it wouldn't go on for infinity... if there is a number in-between 0.9r and 1 then it's not 0.9r, it must be less than 0.9r...

What utter tosh Evie! You are the master of misunderstanding. I NEVER SAID I REACHED FUCKING INFINITY! Show me where I did!?!

Did I say you did? I said taht 0.9r doesn't need to reach 1 because it is 1, whereas you said that it can "never reach", but it is not supposed to. I don't believe I said that you said that it can 'never reach infinity itself'?

Read the fucking words and come back to me if you have a fucking point - stop wasting my time with your fucking misobservations all the time!!!

Re-read what I said because it seems you 1. Misrepresented me, 2. You still don't get it, and 3. You still don't get it and the logic of it, despite the fact that I thought you said you did after Adrian explained it to you ages ago?

0.9r and 1 'converge' only in the sense that they are the same number, represented differently... because 0.9r cannot be any less than 1 because there can be no gap between the two otherwise it wouldn't be 0.9r, the 9s on the end - recurring - wouldn't be going on and on forever and ever.

I'm not talking about infinity as a whole, but the journey to infinity, which we can see by the progression of 9's, follows a pattern of 9/10ths of the whole... infinitely.

And if it goes on forever, how can you fit a number between it and 1? What number can never be between 0.9r and 1? There logically can't be a number between them, or it wouldn't be 0.9r (see above).

As we know the pattern MUST stay at 9, we can know that it will never converge

It doesn't need to converge or 'reach it', because when it goes on forever it logically is 1, it doesn't need to converge. 0.9r represents 1 in decimal because there can be no gap between it and 1, so it's 1... no number can fit between it.

I thought my analogy was a good one, and I'd like to see a sensible explanation of why it isn't correct.

Because this is not about 0.9r having to reach 1, this is about how 0.9r logically is 1, represented in decimal... exactly 1, because there is no number that can be between it and 1, so it logically is 1 (in decimal). It's just counter-intuitive, but once you've got it you've got it, because it makes perfect sense.

EvF