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Forums - General - 0.9999.... = 1.0

 

Are you convinced?

Yes 34 58.62%
 
No 20 34.48%
 
not sure 1 1.72%
 
Total:55

Ok, so let me get this straight, if we apply this rule to actual daily life, if a man feels like a woman, behaves like a woman and looks like a woman but still is missing a vagina that still makes him 1 woman.



Nintendo is selling their IPs to Microsoft and this is true because:

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Math is something humans came up with. It's logical but not perfect. So no need to defend any position :P



Mnementh said:
http://en.wikipedia.org/wiki/Limit_of_a_sequence
Some here already said it right: the sequence of 9s is converging to 1. It would reach it, if the sequence is infinite, that what was meant. But in the end a infinite sequence of 9s after decimal point never occurs in correct calculation. You could write 1/3 in decimal form (actually you can't as it is an infinite sequence) and multiply it with 3. If you plain multiply each of the decimal numbers it seems, like the result wouldbe 0.999..., but in reality the carry you would have after infinite number of operation would make it 1. Really, the number 0.999... (if the sequence goes on infinite) doesn't exist.
That doesn't break math as some here claim, math pretty good handle this.


Math doesn't handle it, mathemeticians made rules to handle it.  Math is our way of simplifying the world around us, and sometimes the world is more complex than a simple numerical representation can accurately reflect.  Thus, for all practical purposes 0.999999.... does equal 1.  But one can very well make a sound argument that the two are, in fact, not the same number.  But that's a question of pure logic, not math, which is practical logic.



Mnementh said:
http://en.wikipedia.org/wiki/Limit_of_a_sequence
Some here already said it right: the sequence of 9s is converging to 1. It would reach it, if the sequence is infinite, that what was meant. But in the end a infinite sequence of 9s after decimal point never occurs in correct calculation. You could write 1/3 in decimal form (actually you can't as it is an infinite sequence) and multiply it with 3. If you plain multiply each of the decimal numbers it seems, like the result wouldbe 0.999..., but in reality the carry you would have after infinite number of operation would make it 1. Really, the number 0.999... (if the sequence goes on infinite) doesn't exist.
That doesn't break math as some here claim, math pretty good handle this.


Ah that makes sense.  So it doesnt mess with the Math since you can never correctly get the number 0.999 infinitly using standard methods.  Makes sense then



I remember when this was introduced to us at school. The teacher started with
1/9 = 0.1 periodic.
2/9 = 0.2 periodic
and so on. Finally he wrote
9/9 and one pupil said instantly 0.9 periodic and I started to laugh because I saw this coming ;)
The problem with this is because we don't really understand infinity. The difference between 1 and 0.9 periodic in infinitely small which leads to zero but still we think we can stop this infite numbers at one point, subtract it from 1 and get the difference but then it's not periodic anymore and especially not infinite anymore. This is where mathematicians just define 0.9 periodic to be 1 - to get rid of this brainfuck ;)
Another brainfuck are real numbers in general:
between 0 and 0.1 are infinite numbers which is almost the same matter as with 0.9 periodic is 1.



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Fayceless said:
Mnementh said:
http://en.wikipedia.org/wiki/Limit_of_a_sequence
Some here already said it right: the sequence of 9s is converging to 1. It would reach it, if the sequence is infinite, that what was meant. But in the end a infinite sequence of 9s after decimal point never occurs in correct calculation. You could write 1/3 in decimal form (actually you can't as it is an infinite sequence) and multiply it with 3. If you plain multiply each of the decimal numbers it seems, like the result wouldbe 0.999..., but in reality the carry you would have after infinite number of operation would make it 1. Really, the number 0.999... (if the sequence goes on infinite) doesn't exist.
That doesn't break math as some here claim, math pretty good handle this.


Math doesn't handle it, mathemeticians made rules to handle it.  Math is our way of simplifying the world around us, and sometimes the world is more complex than a simple numerical representation can accurately reflect.  Thus, for all practical purposes 0.999999.... does equal 1.  But one can very well make a sound argument that the two are, in fact, not the same number.  But that's a question of pure logic, not math, which is practical logic.

Bolded: no you can't. The numbers as we write themare constructs of math. We wrote symbols down and said they represent some sort of abstract concept of multiplicity. In this concept of writing down, different ways led to different representations. So, 1/3 can be written as 0.3333 (assuming the 3s go on infinite). But if you really have a infinite sequence of 9s after the decimal point, it gains basically a carry. Let's assume writing a infinite seuqence of 9s is correct: even in this case it is only a different representation for 1. But construct an mathematical operation, that produces 0.999... I can come up with 1/3 multiplied with 3. And that is 1, not 0.999...



3DS-FC: 4511-1768-7903 (Mii-Name: Mnementh), Nintendo-Network-ID: Mnementh, Switch: SW-7706-3819-9381 (Mnementh)

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Mnementh said:
Fayceless said:
Mnementh said:
http://en.wikipedia.org/wiki/Limit_of_a_sequence
Some here already said it right: the sequence of 9s is converging to 1. It would reach it, if the sequence is infinite, that what was meant. But in the end a infinite sequence of 9s after decimal point never occurs in correct calculation. You could write 1/3 in decimal form (actually you can't as it is an infinite sequence) and multiply it with 3. If you plain multiply each of the decimal numbers it seems, like the result wouldbe 0.999..., but in reality the carry you would have after infinite number of operation would make it 1. Really, the number 0.999... (if the sequence goes on infinite) doesn't exist.
That doesn't break math as some here claim, math pretty good handle this.


Math doesn't handle it, mathemeticians made rules to handle it.  Math is our way of simplifying the world around us, and sometimes the world is more complex than a simple numerical representation can accurately reflect.  Thus, for all practical purposes 0.999999.... does equal 1.  But one can very well make a sound argument that the two are, in fact, not the same number.  But that's a question of pure logic, not math, which is practical logic.

Bolded: no you can't. The numbers as we write themare constructs of math. We wrote symbols down and said they represent some sort of abstract concept of multiplicity. In this concept of writing down, different ways led to different representations. So, 1/3 can be written as 0.3333 (assuming the 3s go on infinite). But if you really have a infinite sequence of 9s after the decimal point, it gains basically a carry. Let's assume writing a infinite seuqence of 9s is correct: even in this case it is only a different representation for 1. But construct an mathematical operation, that produces 0.999... I can come up with 1/3 multiplied with 3. And that is 1, not 0.999...


Okay, I do see your point.

 

But it's no fun. :P

 

It's fun to question things.  Like math.  And what things mean.



Fayceless said:
Mnementh said:
Fayceless said:
Mnementh said:
http://en.wikipedia.org/wiki/Limit_of_a_sequence
Some here already said it right: the sequence of 9s is converging to 1. It would reach it, if the sequence is infinite, that what was meant. But in the end a infinite sequence of 9s after decimal point never occurs in correct calculation. You could write 1/3 in decimal form (actually you can't as it is an infinite sequence) and multiply it with 3. If you plain multiply each of the decimal numbers it seems, like the result wouldbe 0.999..., but in reality the carry you would have after infinite number of operation would make it 1. Really, the number 0.999... (if the sequence goes on infinite) doesn't exist.
That doesn't break math as some here claim, math pretty good handle this.


Math doesn't handle it, mathemeticians made rules to handle it.  Math is our way of simplifying the world around us, and sometimes the world is more complex than a simple numerical representation can accurately reflect.  Thus, for all practical purposes 0.999999.... does equal 1.  But one can very well make a sound argument that the two are, in fact, not the same number.  But that's a question of pure logic, not math, which is practical logic.

Bolded: no you can't. The numbers as we write themare constructs of math. We wrote symbols down and said they represent some sort of abstract concept of multiplicity. In this concept of writing down, different ways led to different representations. So, 1/3 can be written as 0.3333 (assuming the 3s go on infinite). But if you really have a infinite sequence of 9s after the decimal point, it gains basically a carry. Let's assume writing a infinite seuqence of 9s is correct: even in this case it is only a different representation for 1. But construct an mathematical operation, that produces 0.999... I can come up with 1/3 multiplied with 3. And that is 1, not 0.999...


Okay, I do see your point.

 

But it's no fun. :P

 

It's fun to question things.  Like math.  And what things mean.

If you could use regular basic math to make 0.999999 infinite actually equal 1 then yes there would be a problem and the math "broken"

But since there is no logical way to use math to creat it the math is fine. Basically 0.99999 infinite doesnt exist.  I wasnt sure what to think either at first but I get it now.  Dont be fooled though there is still plenty of issues in Math in general and pretty much all the sciences.  Still plenty to question



walsufnir said:
Another brainfuck are real numbers in general:
between 0 and 0.1 are infinite numbers which is almost the same matter as with 0.9 periodic is 1.

Yeah, the mindfuck is even bigger. We know rational numbers (can be expressed as quotient of two integers) and real numbers (well rational number + even more). Between each two unequal rational numbers we have an infinite number of rational and real numbers, but the infinity of the real numbers is bigger. Our mind is not fit to understand infinity, but with mathematics we have a cool tool to tame these things.

http://en.wikipedia.org/wiki/Rational_number

http://en.wikipedia.org/wiki/Real_number

http://en.wikipedia.org/wiki/Cardinality#Infinite_sets



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Fayceless said:


Okay, I do see your point.

 

But it's no fun. :P

 

It's fun to question things.  Like math.  And what things mean.

I agree.



3DS-FC: 4511-1768-7903 (Mii-Name: Mnementh), Nintendo-Network-ID: Mnementh, Switch: SW-7706-3819-9381 (Mnementh)

my greatest games: 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025 

10 years greatest game event!

bets: [GTA6]