[split] 0.999... equals 1

[fr0d0]

Back to question 1 then :- show me how 0.9... ever converges with 1 - it logically cannot without 'assuming' they are the same, or as good as damnit; which mathematical theory accommodates.

That are what all there proofs are saying. 1/3 is not exactly 0.3... because if it were it'd equal 1 if x by 3, which it does not.

[Edwardo Piet]

It does. 0.9r is a representation of 1: And it is a logical one because it cannot be more or less than 1, so it's 1. Because there can be no gap between it and 1, and if there is no gap then it must be the same number, represented in decimal.

And so since 0.3 X 3 = 0.9, and 0.3r X 3=0.9r, then 0.3r X 3 =1 because 1=0.9r

EvF

[fr0d0]

No, there has to be a gap, or it would be 1. There can never be convergence. Or do you think there can be? Do you think 0.9... and one actually can touch theoretically?

'Because there is no number to add to it' is a stupid requirement of proof. It equates to me saying you can't add anything to God therefore God exists. The decimal system is just inadequate to describe the phenomena. Best guess is required to fill the gap in logic. Yeah it works if you make up some bullshit to justify it. Why is it I always find myself on the opposite side to faith over all these things

[Edwardo Piet]

So there is an endless end of 9s on the end of 0.9, and then you are suggesting there be a gap?? There isn't a gap, there logically can't be - it is endless it goes on forever, you can't put anything on the end of it to make it =1...so it is 1.

For this reason, 0.9r is just another way to represent 1.

The God example doesn't make any sense because we're talking of adding an extra number on here, not talking about adding something to a deity. We're talking about increasing the value of 0.9r without it being 1...but that is impossible because there can be no gap between 0.9r and 1 otherwise it wouldn't be an infinite string of 9s, it wouldn't be 0.99999999999999r

And I'm not 'making bullshit up to justify it', this is a mathematical proof accepted by mathematicians that makes logical sense.

EvF

[fr0d0]

Yeah but you can't prove it you just accept it by faith.

Show me how 0.9... converge. I notice you never address this. If they never converge, which logically they cannot, how can you say there is no gap? There's always a gap. It's just infinitely long.

[Edwardo Piet]

I already showed you repeatedly. They converge in the sense they must be exactly the same amount. Because 0.9r can't logically be anything other than exactly the same amount as 1. Because you can't logically add anything onto the string of 9s because it's an endless string, so there can be no gap between it and 1, so it must be the same number.

Crap, I thought Adrian already explained this to you and you got it! He even gave you rep saying he taught you the meaning of it! Are you taking the pish? lol.

EvF

[fr0d0]

Just saying they are the same amount doesn't make it so. You can't add anything but they also never converge - this we know.

Yes of course LOL

[Edwardo Piet]

So you admit that it's been proved several times and yar are just takin' da fukin' pish?

Seriously, you can't put anything on the end of 0.9r when it's an endless string of 9s at the end, it must be 1.

EvF

[fr0d0]

But do you agree that 0.9... can never converge with 1?

[Edwardo Piet]

Do you agree that you know that it already does in the sense it's the exact same amount, so the same number as 1 only represented in decimals?

They converge in the sense they are the same amount, cos you can't put anything on the endless string of 9s that is at the end of 9.r to make it 1, so it therefore must be the same amount as 1, it's 1.

EvF