talonner
06-17-2009, 02:46 PM
This is my writing:
1/2 = .50
1/4 = .25
1/8 = .125
1 inch = 2.54cm
Think about it.
Metric:
10mm to 1cm, 100cm to 1m, 1000m to 1km etc.
1cm^3 is 1mL.
1000mL of pure water at sea level weighs 1kg. 1L = 1Kg.
It seems very simple. Too simple, the base 10 system.
Now, decimals.
0.1 is 10%, or 1/10.
0.125 is 12.5%, or 1/8.
Decimals and the metric system help rewire your thoughts, thinking and brain structure in to a very simple yet efficient 'machine'. It makes you less able to handle tasks involving a greater degree of thought, as everything is so structured and computer like.
The imperial system is superior, although I am not totally familiar with it.
I think it is 16 ounces to a pound, 28.25g to an ounce, 2.24lb to a kg, 2.54cm to an inch, 12 inches to a foot, 3 feet to a yard.
Because the weights are based of a unit of 16, and the measures off a unit of 12, 3, 18, 6, etc, and everything is not so rounded, it helps your brain grow and develop because more mental effort is required to get to the answers, rather than the stupidly simple metric system.
Working with such things as inches, feet, pounds, fathoms, ounces etc, make you actually smarter, as more effort is required to deduce and calculate the weights and measures of certain objects.
Using fractions is also vastly superior to using decimals. Converting decimals to percentages is insanely easy. Converting fractions to percentages/decimals is somewhat harder. Fractions are also more accurate than decimals. 1/3 is much smoother than 0.3333333333333333...... . 1/3 + 1/3 + 1/3 gives you 1. 0.333etc + 0.333etc +0.333etc does not give you 1. It gives you a number very close to 1, that is 0.999etc, which if rounded up will give you 1, but is still not 1.
Using decimals is not good for your thought patterns, nor is the metric system.
This isn't about doing maths.
This is about your mind/brain and the effects a system such as the metric system and using decimals instead of fractions, which are not helping your brain in any way whatsoever.
1 divided by 3, is 3 parts that make up 1, or 1/3.
3 parts of 0.333.... do not make 1, it is just very close.
It is infinitely far away from 1.
If the doors of the bus close instantaneously in exactly one second, and I make it on the bus before the doors close in 0.999... seconds, I managed to get on the bus.
That ellipse of 0.999......... is not the same as one second, as demonstrated by the fact I managed to get on the bus before the doors closed.
1/3 cannot be expressed as a decimal with complete accuracy.
Just like pi, at least for the present.
If pi one day does become able to be expressed as a decimal that has an end point, 1/3 still will not be able to.
0.333........... does not end.
1/3 is precise.
Decimals and the metric system are not the same, yes I know.
Decimals and the metric system, if they are the exclusive ways of doing maths and using numbers, are bad for your brain. They are too structured and computer like.
Imperial is a great system to learn to use because it does not computerise you.
If you find someone who is perhaps slightly smarter than average, or someone who enjoys numbers, or someone who thinks a lot, and only teach them decimals and not fractions, and they only use the metric system, then if they start thinking about numbers in their spare time, and doing decimals etc as they trail off to sleep, their mind could get stuck on that and cause irreversible damage and harm to themselves on those never ending decimals.
No matter what you write, 0.999........ will never be the same as 1.
Nor will 1/3 be the same as 0.333.....
THE BELOW EQUATION IS WRONG
x=0.99999......
(multiply by 10)
10x = 9.9999.........
(subtract x)
9x = 9
(divide by 9)
x = 1
THE ABOVE EQUATION IS WRONG
I also want to try that maths again.
THE BELOW EQUATION IS CORRECT
x = 0.999999............
(multiply by 10)
9.9999........ = 9.99999..........
Wow, amazing.
(subtract x)
9 = 9
Wow, amazing.
That does not make 0.99999999.......... = 1.
THE ABOVE EQUATION IS CORRECT
You're really an Oxford mathematician?
You're either incredibly stupid or you are jealous of those smarter than you and are very grandoise.
Do you have savants working for you or something?
I have no pity for you.
This is not my writing, however the bolded sections I agree with and are reponses to the deception of this alleged Oxford University mathematician. If it's not bolded I don't agree with it. This has gone around the world to various media and goverment departments, so if someone finds it interesting, who isn't as simple as animalmother, and I'm sure there are many, many people above his basic reasoning skills, then all is well. Certain websites have been taken down via malicious attacks after hosting this content, or have been told to remove it by powers that will soon cease to be.
They are the exact same value.
1/3 = 0.333...
They are just different ways of representing the same thing.
Take a look at "1/3". What you're really looking at is an operation that results in a scalar value, and that value is 0.3333.....
The same way the symbol for π implies an operation, which is the circumference of a circle divided by it's diameter. The result is a scalar ratio that remains constant no matter how large the circle is or what your measurement unit is. The value of the ratio, of course, is 3.141....... (expressed in decimal, of course)
HOW close? THAT is the magic question! This is what you need to ponder.
By all means, do try and write down the answer to 1 divided by 3.
I can see that your mind is starting to doubt what it's telling itself (please don't think of this as an insult - it's an observation). Go on, do the exercise. There is an important epiphany waiting for you, and you're going to love it, I promise.
HOW close?
I'm trying to get you to think about this. Let me phrase it another way. If you got THAT close (as close as you say it is), would it be possible to get closer?
If the answer is yes, then it means that you can take another step of a fixed size to close the gap completely.
If the answer is no, then it means that you can take another step of a fixed size to close the gap completely.
Does the above sound illogical because it's contradictory? Think about it for a while.
Nope, not dumb nor deliberately deceptive. I understand the mathematical principles in dispute fully, and I'm trying to get you to grasp it as well. Mathematics is the ultimate truth, and I would love for you to see the big picture.
I realise this sounds a bit like religious proselytizing, and that it perhaps even appears arrogant to you, but I can very clearly see the gaps in your thinking on this subject. THe difficulty for me is presenting the correct viewpoint in a way that you will intuit yourself, because nobody else can do it for you.
It's not less than one. It equals one. You are being fooled by the fact that there is a zero (call it an optical illusion if you will).
Numbering systems are funny animals in the sense that they can represent values in different ways.
An example would be Pi. It's an irrational magic number, and is trancendental to boot.
It's value is 3.141.....<etc>.
There's another way to represent that irrational value: π.
0.9999999..... and 1 are the same thing, they are just different ways of presenting the same value.
Remember that 0.999999999999999999999999999999 and 0.999999999999999999999999... (ellipses) are not the same.
The proof for it is very simple and if you google it you'll find many references.
As an Oxford mathematician and sane human being, I assure you that .99 repeating equals 1.
Your attempt to show otherwise was frankly hilarious, when you went from
10x = 9.9999999......
to, by subtracting x,
10 = 9.11111111......
where you have clearly divided by x on the left and subtracted .88888.... from the right. You are a moron. And .999~ = 1.
And .333~ = 1/3.
And your mum = fat.
You fail to understand the concept of an infinitely repeating decimal.
.9999999999... is defined as the sum of the infinite geometric series of 9/10 + 9/100 + 9/1000 + 9/10000 + .... + 9/(10^n) + ....... and so on.
The definition of "the sum of an infinite series" is "the value to which the partial sums converge".
.999~ = 1.0 by the definition of the notation.
If 0,99999... equals 1, then 0,89999... equals 0,99999... which equals 1
So... 0,89999... equals 1 as well?
If you were to follow this, 0 = 1
You people are idiots.
Infinity is only theoretical.
---------------
Oh I see.
You're saying
"0.99recurring = 1-a bee's dick."
This does not make any sense whatsoever.
What's 1/3?
The answer is obvious... 0.33333333333(etc).
So if 1 divided by 3 gives you the above result, multiplying the result by 3 should logically undo the operation, no so? In other words, 3 x 1/3 = 1.
So if 1/3 is 0.33333(etc), and 3 x 1/3 = 1, then 1/3 + 1/3 + 1/3 = 1!
Don't let the zero fool you.
Here's a deep question: HOW close to 1?
Or if you phrase it differently, how FAR AWAY from 1 is it?
"Infinitely close"?
There's no such thing, just like "Infinitely far away" implies that it's not close at all. What it boils down to is that the value difference is 0.
Trust me, you have a completely incorrect intuition of how it works, or you're not thinking it through properly.
Let's work it again step by step.
1) 1/3 is the same as saying 1 divided by three. Do you agree?
2) 1/3 is 0.33333333333....<etc>. Do you agree?
3) 1 divided by 3, then multiplied by 3, gives you 1 again. Do you agree?
If you agree on all three counts, then logically you cannot deny that 1/3 * 3 = 1. And if you agree to that, then you cannot deny that 0.33333333333....<etc> * 3 = 1.
Also... 0.9999999....<etc> divided by 3 gives 0.33333333333....<etc>.
So the same thing applies. The end result is that 0.9999999999999...<etc> = 1.0
There's no conspiracy here or an attempt to mislead. What you need to grasp is that the decimal system can confuse due to the way it is forced to present certain values as a result of a mathematical operation. Your mind is trying to put an arbitrary limit on how deep the rabbit hole goes (the infinite repetition of 3's or 9's), and that's why it's not intuitive for you. It's not truly possible for us to grasp infinity, and that's why it's odd for us.
Work with me here. Not trying to argue, I'm trying to get you to see things in a different light (and trust me when that light goes on you're gonna be amazed at how cool it is).
Okay, so you regard point #2 as false. (this appears to be the core of the disagreement)
If 1/3 is NOT equal to 0.3333333333....<etc>, then what is it equal to? You need to write the result down, please, in decimal. (it's part of the thought experiment).
The difference between 1/3 and pi, is that pi is an irrational number. That's why mathematicians don't use "3.141628.....<infinity>" every time they want to express the ratio "pi" in an equation. Instead, they have a very useful placeholder, which is the character π.
The result of 1/3 yields a rational fraction (when expressed in base 10). We don't have a convenient placeholder for it, because there's nothing really all that remarkable about the result of 1 divided by 3 (it's not a magic number), so we just represent it as a fraction "1/3". Nevertheless, decimal notation does allow us to represent the result without having to type an infinity of mantissa digits, by putting a dot over the repeating decimal fraction.
Regardless of how it "looks", 1/3 and 0.3(with dot on the 3) are just two ways of writing the same thing.
1/2 = .50
1/4 = .25
1/8 = .125
1 inch = 2.54cm
Think about it.
Metric:
10mm to 1cm, 100cm to 1m, 1000m to 1km etc.
1cm^3 is 1mL.
1000mL of pure water at sea level weighs 1kg. 1L = 1Kg.
It seems very simple. Too simple, the base 10 system.
Now, decimals.
0.1 is 10%, or 1/10.
0.125 is 12.5%, or 1/8.
Decimals and the metric system help rewire your thoughts, thinking and brain structure in to a very simple yet efficient 'machine'. It makes you less able to handle tasks involving a greater degree of thought, as everything is so structured and computer like.
The imperial system is superior, although I am not totally familiar with it.
I think it is 16 ounces to a pound, 28.25g to an ounce, 2.24lb to a kg, 2.54cm to an inch, 12 inches to a foot, 3 feet to a yard.
Because the weights are based of a unit of 16, and the measures off a unit of 12, 3, 18, 6, etc, and everything is not so rounded, it helps your brain grow and develop because more mental effort is required to get to the answers, rather than the stupidly simple metric system.
Working with such things as inches, feet, pounds, fathoms, ounces etc, make you actually smarter, as more effort is required to deduce and calculate the weights and measures of certain objects.
Using fractions is also vastly superior to using decimals. Converting decimals to percentages is insanely easy. Converting fractions to percentages/decimals is somewhat harder. Fractions are also more accurate than decimals. 1/3 is much smoother than 0.3333333333333333...... . 1/3 + 1/3 + 1/3 gives you 1. 0.333etc + 0.333etc +0.333etc does not give you 1. It gives you a number very close to 1, that is 0.999etc, which if rounded up will give you 1, but is still not 1.
Using decimals is not good for your thought patterns, nor is the metric system.
This isn't about doing maths.
This is about your mind/brain and the effects a system such as the metric system and using decimals instead of fractions, which are not helping your brain in any way whatsoever.
1 divided by 3, is 3 parts that make up 1, or 1/3.
3 parts of 0.333.... do not make 1, it is just very close.
It is infinitely far away from 1.
If the doors of the bus close instantaneously in exactly one second, and I make it on the bus before the doors close in 0.999... seconds, I managed to get on the bus.
That ellipse of 0.999......... is not the same as one second, as demonstrated by the fact I managed to get on the bus before the doors closed.
1/3 cannot be expressed as a decimal with complete accuracy.
Just like pi, at least for the present.
If pi one day does become able to be expressed as a decimal that has an end point, 1/3 still will not be able to.
0.333........... does not end.
1/3 is precise.
Decimals and the metric system are not the same, yes I know.
Decimals and the metric system, if they are the exclusive ways of doing maths and using numbers, are bad for your brain. They are too structured and computer like.
Imperial is a great system to learn to use because it does not computerise you.
If you find someone who is perhaps slightly smarter than average, or someone who enjoys numbers, or someone who thinks a lot, and only teach them decimals and not fractions, and they only use the metric system, then if they start thinking about numbers in their spare time, and doing decimals etc as they trail off to sleep, their mind could get stuck on that and cause irreversible damage and harm to themselves on those never ending decimals.
No matter what you write, 0.999........ will never be the same as 1.
Nor will 1/3 be the same as 0.333.....
THE BELOW EQUATION IS WRONG
x=0.99999......
(multiply by 10)
10x = 9.9999.........
(subtract x)
9x = 9
(divide by 9)
x = 1
THE ABOVE EQUATION IS WRONG
I also want to try that maths again.
THE BELOW EQUATION IS CORRECT
x = 0.999999............
(multiply by 10)
9.9999........ = 9.99999..........
Wow, amazing.
(subtract x)
9 = 9
Wow, amazing.
That does not make 0.99999999.......... = 1.
THE ABOVE EQUATION IS CORRECT
You're really an Oxford mathematician?
You're either incredibly stupid or you are jealous of those smarter than you and are very grandoise.
Do you have savants working for you or something?
I have no pity for you.
This is not my writing, however the bolded sections I agree with and are reponses to the deception of this alleged Oxford University mathematician. If it's not bolded I don't agree with it. This has gone around the world to various media and goverment departments, so if someone finds it interesting, who isn't as simple as animalmother, and I'm sure there are many, many people above his basic reasoning skills, then all is well. Certain websites have been taken down via malicious attacks after hosting this content, or have been told to remove it by powers that will soon cease to be.
They are the exact same value.
1/3 = 0.333...
They are just different ways of representing the same thing.
Take a look at "1/3". What you're really looking at is an operation that results in a scalar value, and that value is 0.3333.....
The same way the symbol for π implies an operation, which is the circumference of a circle divided by it's diameter. The result is a scalar ratio that remains constant no matter how large the circle is or what your measurement unit is. The value of the ratio, of course, is 3.141....... (expressed in decimal, of course)
HOW close? THAT is the magic question! This is what you need to ponder.
By all means, do try and write down the answer to 1 divided by 3.
I can see that your mind is starting to doubt what it's telling itself (please don't think of this as an insult - it's an observation). Go on, do the exercise. There is an important epiphany waiting for you, and you're going to love it, I promise.
HOW close?
I'm trying to get you to think about this. Let me phrase it another way. If you got THAT close (as close as you say it is), would it be possible to get closer?
If the answer is yes, then it means that you can take another step of a fixed size to close the gap completely.
If the answer is no, then it means that you can take another step of a fixed size to close the gap completely.
Does the above sound illogical because it's contradictory? Think about it for a while.
Nope, not dumb nor deliberately deceptive. I understand the mathematical principles in dispute fully, and I'm trying to get you to grasp it as well. Mathematics is the ultimate truth, and I would love for you to see the big picture.
I realise this sounds a bit like religious proselytizing, and that it perhaps even appears arrogant to you, but I can very clearly see the gaps in your thinking on this subject. THe difficulty for me is presenting the correct viewpoint in a way that you will intuit yourself, because nobody else can do it for you.
It's not less than one. It equals one. You are being fooled by the fact that there is a zero (call it an optical illusion if you will).
Numbering systems are funny animals in the sense that they can represent values in different ways.
An example would be Pi. It's an irrational magic number, and is trancendental to boot.
It's value is 3.141.....<etc>.
There's another way to represent that irrational value: π.
0.9999999..... and 1 are the same thing, they are just different ways of presenting the same value.
Remember that 0.999999999999999999999999999999 and 0.999999999999999999999999... (ellipses) are not the same.
The proof for it is very simple and if you google it you'll find many references.
As an Oxford mathematician and sane human being, I assure you that .99 repeating equals 1.
Your attempt to show otherwise was frankly hilarious, when you went from
10x = 9.9999999......
to, by subtracting x,
10 = 9.11111111......
where you have clearly divided by x on the left and subtracted .88888.... from the right. You are a moron. And .999~ = 1.
And .333~ = 1/3.
And your mum = fat.
You fail to understand the concept of an infinitely repeating decimal.
.9999999999... is defined as the sum of the infinite geometric series of 9/10 + 9/100 + 9/1000 + 9/10000 + .... + 9/(10^n) + ....... and so on.
The definition of "the sum of an infinite series" is "the value to which the partial sums converge".
.999~ = 1.0 by the definition of the notation.
If 0,99999... equals 1, then 0,89999... equals 0,99999... which equals 1
So... 0,89999... equals 1 as well?
If you were to follow this, 0 = 1
You people are idiots.
Infinity is only theoretical.
---------------
Oh I see.
You're saying
"0.99recurring = 1-a bee's dick."
This does not make any sense whatsoever.
What's 1/3?
The answer is obvious... 0.33333333333(etc).
So if 1 divided by 3 gives you the above result, multiplying the result by 3 should logically undo the operation, no so? In other words, 3 x 1/3 = 1.
So if 1/3 is 0.33333(etc), and 3 x 1/3 = 1, then 1/3 + 1/3 + 1/3 = 1!
Don't let the zero fool you.
Here's a deep question: HOW close to 1?
Or if you phrase it differently, how FAR AWAY from 1 is it?
"Infinitely close"?
There's no such thing, just like "Infinitely far away" implies that it's not close at all. What it boils down to is that the value difference is 0.
Trust me, you have a completely incorrect intuition of how it works, or you're not thinking it through properly.
Let's work it again step by step.
1) 1/3 is the same as saying 1 divided by three. Do you agree?
2) 1/3 is 0.33333333333....<etc>. Do you agree?
3) 1 divided by 3, then multiplied by 3, gives you 1 again. Do you agree?
If you agree on all three counts, then logically you cannot deny that 1/3 * 3 = 1. And if you agree to that, then you cannot deny that 0.33333333333....<etc> * 3 = 1.
Also... 0.9999999....<etc> divided by 3 gives 0.33333333333....<etc>.
So the same thing applies. The end result is that 0.9999999999999...<etc> = 1.0
There's no conspiracy here or an attempt to mislead. What you need to grasp is that the decimal system can confuse due to the way it is forced to present certain values as a result of a mathematical operation. Your mind is trying to put an arbitrary limit on how deep the rabbit hole goes (the infinite repetition of 3's or 9's), and that's why it's not intuitive for you. It's not truly possible for us to grasp infinity, and that's why it's odd for us.
Work with me here. Not trying to argue, I'm trying to get you to see things in a different light (and trust me when that light goes on you're gonna be amazed at how cool it is).
Okay, so you regard point #2 as false. (this appears to be the core of the disagreement)
If 1/3 is NOT equal to 0.3333333333....<etc>, then what is it equal to? You need to write the result down, please, in decimal. (it's part of the thought experiment).
The difference between 1/3 and pi, is that pi is an irrational number. That's why mathematicians don't use "3.141628.....<infinity>" every time they want to express the ratio "pi" in an equation. Instead, they have a very useful placeholder, which is the character π.
The result of 1/3 yields a rational fraction (when expressed in base 10). We don't have a convenient placeholder for it, because there's nothing really all that remarkable about the result of 1 divided by 3 (it's not a magic number), so we just represent it as a fraction "1/3". Nevertheless, decimal notation does allow us to represent the result without having to type an infinity of mantissa digits, by putting a dot over the repeating decimal fraction.
Regardless of how it "looks", 1/3 and 0.3(with dot on the 3) are just two ways of writing the same thing.