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Division by 3 does not exist

Name: LordRiordan 2006-11-26 21:40

Think about it... how can you have 3 equal parts of an object? The decimate representation is impossible and one side always has to be bigger then the other. This is also why there is no such thing as 360 equal degrees in a circle as one degree has to be off by a little bit... There are no 360 numbers that will add up to 1 whole object either.

Name: Anonymous 2006-11-26 21:54

DURR HOW DO I WORKED NUMBARS DGRUHHHHHH

Name: Anonymous 2006-11-26 22:51

I lol'd.  If >>1 is serious, though, I'd lol harder.

Name: LordRiordan 2006-11-27 1:24

Seriously. One dude would be .0000000000000000000000001 off if it was 3 pieces of pie.

Name: Anonymous 2006-11-27 1:37

>>4
That is only assuming that we live in a discreet universe instead of a continuous one.

Name: Anonymous 2006-11-27 3:45

>>5
If you're talking physical quantities, atoms are pretty discreet.  But OP is either a fucking dumbass or a decent troll.

Name: Anonymous 2006-11-27 3:49

12/3=4 WTF DA VINCI CODE

Name: Anonymous 2006-11-27 3:52

.333...34 is an inaccurate representation of 1/3. Remember now, .333... + .333... + .333... = .999... = 1

Name: Anonymous 2006-11-27 6:36

>>1
6/3=2

Name: Anonymous 2006-11-27 8:29 (sage)

>>5,6
discrete

Name: Anonymous 2006-11-27 11:11

>>6
just because you can't cut an atom into parts doesnt mean it's impossible

Name: jessop 2006-11-27 11:15

you are correct but if you have to remember that it's just one of those things. it's all beacuse we know maths as base 10 which isn't a very good base... the best base would probobly be 60. it has whole number answers for 1/2 1/3 1/4 1/5 1/6 which can't be said for many numbers.....

Name: Anonymous 2006-11-27 15:23

>>12
We should all switch to base infinity.  Problem solved.

>>11
Enjoy your explosion.  Now NO ONE gets a third of the pie.  Which would mean they all got exactly the same.  Which means division by three is possible?

Name: Anonymous 2006-11-27 17:05

>>13
just because you can't cut an atom apart and control the explosion doesn't mean its impossible

Name: Anonymous 2006-11-27 17:59

>>14
just because you don't say just because you can't cut an atom apart and control the explosion doesn't mean its impossible doesn't mean it's not impossible

Name: Anonymous 2006-11-27 20:09

>>15

OH SHI- NOOOOOOOOO

Name: Anonymous 2006-11-28 2:04

Just because impossible

Name: Anonymous 2006-11-28 19:58

>>1
gb2/third grade/

Seriously. Just because dividing by three doesn't work out perfectly in the base we've all decided is the one we're going to use does NOT by any means indicate that dividing by three is impossible.

I very, very much hope that wasn't a serious post.

Name: Anonymous 2006-11-28 20:24

stop basing your decimals on a base-10 system and use base-9 or base-3, that'd work.

Name: Anonymous 2006-11-28 20:27

base-9:
1
2
3
4
5
6
7
8
10
In a base-9 system, a third would equal .3, two thirds, .6, and three thirds, 1, because there'd be no such thing as the digit 9 (which would replace 10). 18 would be the new 20, and so on and so forth.

Name: Anonymous 2006-11-29 23:15

Just write every number in base n where n is the number that you want to represent. Then every number can be accurately represented by 10.

Name: Anonymous 2006-11-30 9:37

Working in base sqrt(5) must be funny.

Name: Anonymous 2006-11-30 15:59

>>22
maybe if you find simple concepts humorous.

Name: Anonymous 2006-12-03 21:24

>>22
Lol.

Name: Anonymous 2006-12-03 21:58 (sage)

3/3 = 1  <=>  1+1+1 = 3

zOMG, 3 equal parts!!!1!

Name: Anonymous 2006-12-04 19:13

aw, snap.

Name: Anonymous 2006-12-04 21:26

>>25

lol

Name: LordRiordan 2006-12-06 17:33

Re: 25

1 + 1 + 1 <--- these are seperate whole numbers.

You cant have 3 equal parts of 1<---- object.
You can change your number base to whatever youd like, there are still numbers that will not divide a whole object into equal parts. The sizes of the pieces that cause these impossible numbers will always be the same due to the laws of porportionality.

Name: Anonymous 2006-12-06 17:54

You can't have THREE equal DIvisions of a single object, you would have to use trivision.

Name: LordRiordan 2006-12-06 18:02

Re: 29

Fucking win

Name: Anonymous 2006-12-06 18:33

>>28
You can't divide by 2 in base 3. OH NO THE SKY IS FALLING!!!11

Name: Anonymous 2006-12-06 20:29

>>31
you can't have odd bases in the first place dumbass

Name: LordRiordan 2006-12-06 20:35

Re: 32

HAAHAH another win.

60 base gives you the same issue as well. So does 60 * n

Name: Anonymous 2006-12-06 21:06

To prevent that, you have to include as many prime factors in your base as possible.

This is why I'm working in base infinite. Math becomes so easier with it.

Name: LordRiordan 2006-12-06 23:12

Re: 34

Thats a troll response. It solves nothing. :p

Name: Anonymous 2006-12-06 23:21

>>32
Oh wow

Name: LordRiordan 2006-12-06 23:27

You can't have an odd base because.

Name: Anonymous 2006-12-07 3:21

It hurts my brain.

Name: LordRiordan 2006-12-07 14:53

Seriously, I talked to like 3 math professors and they agree.

Name: Anonymous 2006-12-07 17:03

>>35
Thats a troll response
Everything in this board is either trolls or trollee.

Name: Anonymous 2006-12-07 19:38

Your math professors must be dumb as hell. If I have three cm3 of water, and I divide that into three exact parts, I have three separate cm3 of water. Explain that, please?

Name: Anonymous 2006-12-07 20:10

>>41
You nuts? How can that be true?

Name: Anonymous 2006-12-07 23:58

with your logic division by anything is impossible just because of the lack of exactness in practical application... conclusion your retarded

Name: LordRiordan 2006-12-08 11:59

Re:1

Try getting exactly cm3 of water and we will talk.

Divison is impossible if you want perfection. It only works because it appears to be close enough for your eye to detect or whatever tool you are using. Not only do you start off with a unit that is off, say 3cm of water, but dividing it is rather useless. Im just saying division by 3 outside of paper doesn't really exist.

Name: Anonymous 2006-12-08 13:18

i have 3 apples, i divide them between 3 people, each getting 1 apple. THEY STOP EXISTING! OH SHI-

Name: Anonymous 2006-12-08 13:42

No human or god can match
Nature's simultaneous 4 day
rotation in 1 Earth rotation.

No human has a right to
believe wrong  -  for that
would  be  evil  thinking.

Ignorance of 4 days is evil,
Evil educators teach 1 day.
1 day will destroy humans.

OPPOSITES CREATE.
Mother and father gave me birth, not a queer jew god.

Singularity god is EVIL as
Creation reigns as Opposites.
Educators, and You - ought
to be killed for ignoring the
fact that "Earth is Cubed".
(ignored and suppressed by EVIL educators)

NASA's Moon Landing was
far less of an achievement
than Time Cube discovery,
for I have Cubed the Earth,
with 4 simultaneous corner
days in 1 rotation of Earth.
(singularity belief scientist can't comprehend T.O.E.)

God SINGULARITY and the
academic taught singularity
constitute great evils in the
Cubic World of Opposites -
Opposites hemispheres and
Opposite sexes of humanity.
The  Universe  is composed
of Opposites - existing only
as Opposites  -  with a zero
value existence - cancelling
to nothing as a singularity.

Name: Anonymous 2006-12-09 0:20

>>44
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1
Re:1

Name: Anonymous 2006-12-09 0:34

>>44
Why do you talk about 3? Do you think division by 2 exists outside of paper? How about division by 17?

Name: LordRiordan 2006-12-09 17:34

Because you have have exactly 50% of two objects but not 33.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333

Name: Anonymous 2006-12-09 18:54

decimal numbers are never accurate.
x/3 is the accuarate way.

Name: Anonymous 2006-12-09 19:15

>>49
1/3

Just stop talking.

Name: Anonymous 2006-12-09 19:15

>>49
Oh and one more thing

Can you have 50.00000000000000000000000000000000000000000000000...%?

Name: Anonymous 2006-12-09 19:58

>>51
"1/3" describes the process of dividing by three, not the actual concept that would result if the process weren't infinite.

Name: Anonymous 2006-12-09 21:06

>>45
no but you trivided them

Name: Anonymous 2006-12-09 21:17

>>53
Jesus this thread is full of epic failure

Name: LordRiordan 2006-12-09 22:31

I think you are all missing the point. its ~1/3, never 1/3. It does not exist... much like a perfect circle.

Name: Anonymous 2006-12-09 23:08

By God, Jasper, I've discovered math is merely an abstraction!

Name: Anonymous 2006-12-10 1:26

>>56
I think you're missing the point.
In base 3, 1/3 = 0.1
In base 3, 1/2 = 0.1111111111111111111111.....

By your logic, 1/2 exists since we can write it in base 10. But in base 3, a different but still perfectly reasonable choice of bases, we can not write it. Similarly you claim 1/3 does not exist since we can't write it in base 10, but we can in base 3. Your entire "theory" of which numbers do and do not exist (or rather, which numbers we can and can not divide by) is built upon a faulty assumption that base 10 is the only base.

Also, >>57 wins the thread.

Name: LordRiordan 2006-12-10 1:41

Re:58 You fail because they aren't the same porportion of a whole object. It has nothing to do with the base but the porportion of the object which, in base 10, division by 3 which is impossible.

Nice try though.

Name: Anonymous 2006-12-10 2:40

>>59
What.

Name: Anonymous 2006-12-10 11:10

>>59
3/3=1

Name: LordRiordan 2006-12-10 14:46

Re: 60
1/3 in a 10 base is not the same as 1/3 in another base.

Re: 61
Thats nice but Im talking about one whole object divided into 3 sperate ones, not 3 objects divided by 3.

Name: Anonymous 2006-12-10 16:55

>>62
Fine, if you are going to be a jackass and apply abstractions to the real world, then please give us an example of "one whole object" that can be divided by 3.  I mean you must be the sole possessor of the complete knowledge of the exact composition of matter to make these assumptions.

Name: Anonymous 2006-12-10 18:29

>>62

1/3 is 1/3 in any base. just because something is infinitely long doesn't mean it doesn't exist. pi exists. are you going to dispute the existence of a circle? as a circle is defined as all the points equidistant from a certain point in a 2 dimensional plane, any point in space has a circle around it. so the ratio between the circumference and the diameter exists.

Name: Anonymous 2006-12-10 19:22

>>62
1/3 is the multiplicative of 3 in any base. Numbers are not different solely because they are written in another base.

Name: LordRiordan 2006-12-10 19:55

Re:63 One whole object can be anything. An apple. You still can't divide into into perfect 3s, its mathematically impossible. Pi "exists" in that itll make a circle as close to perfect without it actually being perfect.

Name: Anonymous 2006-12-11 2:36

>>66
Okay then let's take that apple, it may take me an extremely long time, but I could split the atoms that make up that apple into 3 equal sized groups.  The number of molecules isn't divisible by 3?  Fine, I'll break the remainder of molecules up into groups of atoms and give the groups an equal number of those.  The number of atoms isn't divisible by 3?  Fine, I'll break up the atoms into subatomic particles, and give the groups an equal number of those.  The number of subatomic particles isn't divisible by 3?  Fine, I'll break up the subatomic particles into quarks and gluons, and give the groups an equal number of those.  I can keep going, unless you know something no one else does about what makes up these particles and why they couldn't be divided.

Name: Anonymous 2006-12-11 11:22

>>66
To give a shorter and meaner response than >>67, what makes you believe that everything is divisible by two?

Name: Anonymous 2006-12-11 11:23

>>68
Oh shit I forgot the mean.
You're an inbred halfwit.

Name: LordRiordan 2006-12-11 13:01

Re: 67
Might be applicable on paper but doesnt apply to us in real life. Just like unicorns, fairys, and gay marriage. Id like to see you get exact measurements in weight and size for those molecules you speak of and splitting them to be exactly equal.

Name: LordRiordan 2006-12-11 13:03

Re: 68

I never said that? Now that I think about it I don't think that is practicle either.

Name: Anonymous 2006-12-11 13:37

all atoms have the same weight (at least, as long as they are the same isotope). they would be made of the same "stuff" -- the same number of protons, electrons, and neutrons. if they have the same stuff then they are the same weight.  break it down further and itll still be the same -- all subatomic particles that have the same properties are going to have the same mass. there won't be any difference between the masses and sizes between two electrons.

Name: Anonymous 2006-12-11 13:37

btw lord riordan is the best troll ever

Name: Anonymous 2006-12-11 15:34

>>71
Allow me introduce you to >>49

Name: Anonymous 2006-12-11 16:16

>>71
lol pwned by >>74

And in response to >>70, what the fuck are you talking about, you are the one trying to apply abstractions to real life.  You have no evidence that it is impossible to break an object down into 3 equal parts, and your claim is based on some flawed logic about how 1/3 results in a repeating decimal in base 10.  I'm not sure you actually know what a molecule is if you don't think it could be broken down, by the way.

Name: Anonymous 2006-12-11 16:26

>>70
The point I was trying to make is that somewhere along the line, something will be divisible by 3.  For example, you have 1 apple, but maybe there are 3 million molecules, or 300 million atoms, or 3 billion subatomic particles, and so on.  It may take an extraordinary amount of time and effort to separate them into equal groupings, but it is possible.  Also, you can't dispute that this could go on infinitely until you hit something divisible by 3, unless you have absolute proof that quarks aren't made of smaller particles, which no one does.

Name: LordRiordan 2006-12-14 3:53

If it exists then how come it can't be represented by numbers? 1/3 = .3333333333333x3 = .9999999999999 which is not equal to one whole object.

Re: 72
Yea theres no argument against that. However, you are disregarding the existance of a quantom dot which comes into and out of existance within quarks. This causes a super rapid flux in weight which by itself makes division impossible. Even if you cannot divide it up into weight, you cannot divide the QDots as they are constantly changing.

Re: 76
You can't give an example that there is an object with exactly enough particles to be divided by 3. Also read my reponse to 72 which makes it impossible to divide these objects anyways.

Your atomic/subatomic arguments fail.

Name: Anonymous 2006-12-14 4:06

This thread is dumb.

Name: Anonymous 2006-12-14 5:07

>>64
I work in base pi

Name: LordRiordan 2006-12-14 14:28

Thread is not dumb, it is legit. You are dumb for not seeing its importance.

Name: Anonymous 2006-12-14 14:52

>>77
BASE 3.

Name: Anonymous 2006-12-14 14:54

>>77
Funny thing is, .99999999 repeating *is* equal to one whole object.

I asked myself the same thing.. I reasoned that if 1/9 is .1111 repeating, and 2/9 is .2222 repeating, and then for each n<10, n/9=.nnnnn, then I figured out "oh noes! 9/9 is .99999999! (repeating!)"

That being said, if all you are trying to say is that the inexactness of real life procedures limits our ability to divide a single object perfectly, then I'd dare say that you are taking positively the most retarded approach I can think of to prove it.

>>57 Wins.

Name: LordRiordan 2006-12-14 17:37

Re: 82

Ultimate argument ever :p u win
Im going to award myself with the best troll award though.

Name: Anonymous 2006-12-15 1:48

3x = y

y/3 = x

Oops, I found something that divides into 3 equally.

Name: Anonymous 2006-12-15 2:19

>>84
Even better,
Apple = 3x
Apple/3 = x
x is exactly one third of an object!!!!!

Name: Anonymous 2006-12-15 8:48

>>81
HYPERREALS

Name: Anonymous 2006-12-15 10:01

>>85
This is the end of the thread
You can all go home now

Name: Anonymous 2006-12-15 11:54

Spoiler: The OP is yet another trollfag.

Name: Anonymous 2006-12-15 12:31

How would the zero ring work in base 3?

Name: LordRiordan 2006-12-15 14:12

I lolercausted through this entire thread. The whole truth is that numbers don't exist, we just think they do.

Name: LordRiordan 2006-12-15 14:15

100 GET!

Name: Anonymous 2006-12-15 16:03

3/0

Name: Anonymous 2006-12-15 16:50

>>90
I think numbers exist, just 0 doesn't.

Name: Anonymous 2006-12-15 17:15

>>93
For the record, Mr. "0 doesn't exist" is a far better troll than LordRiordan.

Name: Anonymous 2006-12-15 19:40

Of course 0 doesn't exist as a number, it's the absence of all mathematical value.  It's a bit ironic though, don't you think?  Besides infinity and irrational numbers, 0 was ultimately the last number created.  The last "number" created, representing nothing, was created last.  Wouldn't it make sense for a symbol representing nothing to be created as soon as the "nothing" (whatever existed before the universe) was over?  Nothing was the first thing to exist.  sorry if that doesn't make any sense... any thoughts?

Name: LordRiordan 2006-12-15 19:51

0 represents nothing. I started that most recent thread too.
0 = nothing

When health = 0, then character dies.
When there is NO MORE HEALTH IN EXISTANCE... Zero represents that theres nothing there. NOTHING NOTHING NOTHING

Nothing + Nothing = Nothing
Nothing - Nothing = Nothing
Nothing * Nothing = Nothing
Nothing / Nothing = Nothing

0 Doesnt exist, its just an abstract symbol to represent that nothing is left.

Name: LordRiordan 2006-12-15 19:59

lol 100get

Name: Anonymous 2006-12-15 20:55

Name: Anonymous 2006-12-16 0:44

your fundamental flaw is the same as those who can't accept that 0.999 recurring equals exactly 1: you can't comprehend recurrence.

Name: Anonymous 2006-12-16 0:44

3 * 33.333... GET

Name: Anonymous 2006-12-16 11:31

But 0.9999... will never equal exactly 1.  Yes, one will get extremely close to reaching 1, but a decimal point with an infinite amount of 9s will never reach 1.  Read the Number Devil.

Name: Anonymous 2006-12-16 11:58

>>100
100 GET?  or not?  WE MUST DISCUSS IF 3 * 33.333... REALLY EQUALS 100!!

Name: Anonymous 2006-12-16 12:44

>>101
Numbers aren't processes. You fail at math and at life.

Name: Anonymous 2006-12-16 13:04

>>101
If you have a finite amount of 9s, then yes, each time you add a 9 you get closer and closer to 1 without ever equaling it.  However, an infinite amount of 9s is infinitely close to 1, i.e. it is equal to 1.

Name: Anonymous 2006-12-16 14:15

>>104
You said it - infinitely CLOSE - never equal

Name: Anonymous 2006-12-16 14:28

>>105
So what's between 0.999... and 1.0...? Note that if you put anything after the "infinitely many" 9's, you DON'T HAVE INFINITELY MANY 9'S.

Name: Anonymous 2006-12-16 15:00

>>103
Logically, there is nothing wrong with what 101 said.  An infinite  number of .9999999... can never equal 1.  The only real number that can equal 1 is 1, unless it's converted to a+bi form.

>>105
I completely agree with you.

Name: Anonymous 2006-12-16 15:34

>>106
.999... is between .999... and 1

Name: Anonymous 2006-12-16 15:37

>>108
So do you not understand the meaning of "between" or are you claiming that 0.999... != 0.999...?

Name: Anonymous 2006-12-16 16:56

>>105
Infinitely close is the same as equals, go take some high school math classes if you don't understand.  For example, if you used a tool with finite precision to measure something with the value 5, you only know that it is close to 5 within that precision; you cannot actually prove that it is 5.  As the precision approaches infinity, you can prove that it is closer and closer to 5, and finally at infinite precision, you know for a fact that the value is equal to 5.

Name: Anonymous 2006-12-16 17:54

So basically it comes down to what one's definition of "infinite" and "equal" are...
>>110
Yes, one can never know for a fact whether or not a predetermined distance is equal to 5, it's merely labels that mathematicians have approximated.  But who's to say that there isn't an exact measurement of anything, it's just that we have no way of knowing...

Name: Anonymous 2006-12-16 19:36

>>109
No, when I said:
.999... is between .999... and 1
I meant the first .999... has more nines than the second.

Name: Anonymous 2006-12-16 19:58

>>112
Way to understand infinity there, sport.

Name: Anonymous 2006-12-16 20:11

>>113
.9999... > .999... > .99... > .9...

Name: Anonymous 2006-12-16 20:38

>>114
No.

Name: Anonymous 2006-12-16 21:30

>>115
Yes, because for n iterations of .99..., you get a higher number than for n iterations of .9...

Name: Anonymous 2006-12-16 21:53

>>116
"for n iterations"

Name: Anonymous 2006-12-16 21:56

>>116
no that's completely wrong. 0.9... (0.9 recurring) == 0.99... (0.9 recurring) == 0.999... (0.9 recurring) == 1

If you struggle to comprehend recurrence in terms of decimal figures, simply understand it in terms of fractions.

0.333... = 1/3
0.666... = 1/3 * 2 = 2/3
0.999... = 1/3 * 3 = 3/3 = 1

Name: Anonymous 2006-12-16 21:59

THE FAGGOTRY OF THIS THREAD IS UNBELIEVABLE

Name: Anonymous 2006-12-16 23:05

>>119
The faggotry of this thread is 1^∞

Name: Anonymous 2006-12-16 23:21

>>120
So this thread's faggotry is not a valid expression?

Name: Anonymous 2006-12-17 0:40

>>118
NO!  .0999... does not equal 1.  Look at it, it's not the same number it all.  The former has an infinite number of digits; the latter is 1.  That's it.

Name: Anonymous 2006-12-17 0:42

.0999...=0.1

Name: Anonymous 2006-12-17 0:51

>>123
Yes, that is true, but only if you round.

Name: Anonymous 2006-12-17 1:11

>>122
Finally someone with some common sense! I told my dumbass grade school math teacher the same exact thing when she tried to convince us that 2/4 = 3/6. What a load of bullshit, am I right?

Name: Luna 2006-12-17 6:00

3+3+3=10 now. Perfect for my plans.

Name: Anonymous 2006-12-17 7:02

>>122
0.999... equals exactly 1. proving this is trivial, and several proofs have been shown. the only proofs you've offered are "well, it doesn't *feel* right" or "common sense dictates otherwise". you can't rely on intuition in math.

x = 0.999...
10x = 9.999...
9x = 10x - x
9x = 9.999... - 0.999...
9x = 9
x = 1

Name: Anonymous 2006-12-17 7:54

Okay, so 0.999... may be 1, but 0.999...0 is definitely a different number.

Name: Anonymous 2006-12-17 8:02

>>128
except that "0.999...0" is a nonsense number, you can't have anything after an infinite number of 9s by definition.

Name: Anonymous 2006-12-17 10:14

>>129
I suppose you could say .999...0=.999... - (lim 9*10^x as x->-∞)
which would still equal 1

Name: Anonymous 2006-12-17 10:45

I suppose if everyone accepted that 0.999...9 and 1.000...0 are NOT the same number then we would all be fine. This bullshit is why we can't invent anything that has a lesser chance of fucking up. Instead of this, "Oh it's pretty close, we'll call it 1 even though it isn't," is fucking retarded. Now, lets prove this.

.999 x 500 = 499.5
1    x 500 = 500.0

Oh snap!

Name: Anonymous 2006-12-17 11:34

>>131
...

.999... * 500 = 500.000...
1 * 500 = 500.000...

Name: Anonymous 2006-12-17 11:38

>>129
Why not? The zero would come infinitely late, but it'd be there.

>>131
.999... * 500 = 499.999...
1 x 500 = 500

And, I may add:
.999...0 * 500 = 499.999...0

Name: Anonymous 2006-12-17 11:51

>>133
If there's a 0 after all of the 9's, then there isn't an infinite number of 9's. This bullshit is why you can't graduate junior high.

Name: Anonymous 2006-12-17 11:57

>>134
It's like the interval [0,1]. There's an infinite amount of numbers following the zero, yet there's still a one at the end. Having an infinite amount of things does not imply that there can't also both be a beginning and an end.

Name: Anonymous 2006-12-17 12:39

>>135
You can't _list_ infinitely many things followed by another. There's a difference between a set and a list. Don't worry though, I don't think I really understood this in junior high either.

Name: Anonymous 2006-12-17 14:06

>>136
You don't need to list them, that's what the '...' is for.

Name: Anonymous 2006-12-17 14:10

>>137
Somehow I'm not surprised that you don't even know what "list" means in mathematics. List = "injective function from the natural numbers."

Name: Anonymous 2006-12-17 14:53

>>138
If you really want a function from the natural numbers, you could define it by saying all the even numbers evaluate to the first half of the list, and the odd numbers to the second half (in reverse order).

Name: Anonymous 2006-12-17 19:45

>>139
Oh jesus this is like teaching a special ed class.

There is no "first half" of the natural numbers (which index the digits after the decimal of a decimal expansion), nor a "second half." Suppose, for instance, that {1,2,...k} was the "first half" of the natural numbers. Then this supposed "first half" has only finitely many entries, and thus cannot be put in one-to-one correspondence with the even numbers. If, on the other hand, the "first half" is 1,2,3,... (ie, all of the natural numbers), then the "second half" contains nothing since the first half contains all of the natural numbers.

This is math, not philosophy or art. Infinity (and in particular the cardinality of the natural numbers, which is of primary relevance here) is well and rigidly defined. Because of this, you cannot simply foist your misguided and idiotic beliefs on others unless you're willing to rigorously support them. Unfortunately this is something you are completely incapable of doing, since it's increasingly apparent that you have less of a grasp of formal mathematics than a even an average first-year undergraduate. In short, either find a new hobby or try to actually learn mathematics, since in your current state you're just another "flat Earth" nitwit.

Name: Anonymous 2006-12-17 20:43

Suppose, for instance, that {1,2,...k} was the "first half" of the natural numbers. Then this supposed "first half" has only finitely many entries,
I was with you until this point; you seem to neglect the case where k=∞/2.

Name: Anonymous 2006-12-17 20:56

>>141
Infinity IS NOT A NUMBER.

Name: Anonymous 2006-12-17 21:10

>>141
>>142

yes, its much better to think of infinity as "indeterminate", as there is no largest number, and that's what you seem to be denoting. in other words, ∞/2 has no meaning, since ∞ has no determined value.

Name: Anonymous 2006-12-17 21:37

>>131
lawl. "it's pretty close"? it's EXACTLY 1. there's more than one way to represent a given number. it just so happens that 3 * 1/3 is one of the ways of expressing the number 1, and 0.333... is one of the ways of expressing 1/3.

Name: Anonymous 2006-12-18 12:20

So, how about we make three cakes, one for everyone?

And the world had eternal peace.

Name: LordRiordan 2006-12-18 14:26

Im glad you have all realized that dividing by 3 isn't as simple as it seems. Soon you will realize it's mathematical impossibility.

Perhaps it might be theoretically possible in real life if you don't count the existance of qdots, but its mathematically impossible to represent as well. 1/3 = .333..., 2/3 = .666...
3/3 = .999... It would seem illogical for it to add to one as one piece would be slightly bigger then the other and making 3 equal parts impossible.

Name: Anonymous 2006-12-18 16:41

>>146
Base 3.

Name: LordRiordan 2006-12-18 17:09

Yea... base 3 will still give you the same problems. Try dividing by .9.

Name: LordRiordan 2006-12-18 17:10

3 is equal to .9 porportionately compared to base 10 and base 3.

Name: LordRiordan 2006-12-18 17:14

Sorry its .9999...., not 1 :p

Name: LordRiordan 2006-12-18 17:19

I take that back -.- It is .9
Dunno why I thought it was .999...

Name: Anonymous 2006-12-18 17:25

>>150
You're so distracted by your poor understanding of math that you got a fail get.

Name: LordRiordan 2006-12-18 17:28

Re: 152 a simple miscalculation.

3 is equal to .9 porportionately compared to base 10 and base 3

Prove it wrong bitch.

Name: Anonymous 2006-12-18 17:50

>>153
3 in base 3 is 10 you nitwit. God, what are you? A fifth grader? You don't even know what "base n" means but you're willing to sit here and debate like your opinion matters?

Name: LordRiordan 2006-12-18 18:31

You are a fucking duche bag 154

.9 in base 3 corresponds to what number in base 10? Its the same fucking thing just a different way of representing it.
Gtfo n00b

Name: Coffin 2006-12-18 19:50

127 has shown .999... equals 1. This is how math works, proof.  Since 3*1/3=0.999..., it equals 1.  Different bases don't come into the question.

Name: Anonymous 2006-12-18 21:28

>>127
I must say, you've completely convinced me.  I've been trying to find a loophole all day and I still can't.  Congratulations.

Name: Anonymous 2006-12-18 22:16

>>155
There is NO SUCH THING AS .9 IN BASE 3. There IS no digit 9. Jesus!

Name: LordRiordan 2006-12-18 22:26

Re: 158
Oops. Theres still an equivalent.

Name: Anonymous 2006-12-18 23:10

>>159
You said ".9 in base 3 corresponds to what number in base 10?"

.9 in base 3 is nothing. It doesn't exist. If you are talking about the base 3 representation of the base 10 number .9, that is 0.22002200...

Now, for everyone's sake, either make a point or quit failing, because it's completely apparent now that you are barely qualified to talk about first grade arithmetic, let alone actual mathematics.

Name: LordRiordan 2006-12-18 23:18

Re:160

Thanks for getting me the number. I doesn't matter what base you are in, whatever equivalent piece of the pie you pick it's all the same. Doesn't happen.

Name: Anonymous 2006-12-18 23:38

>>161
Fine, then we're back to what I said a long time ago. Since the base 3 representation of the base 10 number 0.5 is 0.1111111..., we conclude that you can't cut something in half either. And the base 3 representation of the base 10 number 0.2 is 0.01210121..., and so on. Hence, you've made the incredible discovery that math is an abstraction! OMG STOP THE PRESSES!

Name: LordRiordan 2006-12-18 23:50

Then why is there argument over it? Don't be an asshole. :p

Name: Anonymous 2006-12-19 0:11

LAFFO

Name: Anonymous 2006-12-19 0:29

Here's another proof, in addition to 118 and 127, this time with limits:

0.999... = sum(i=1:∞)(9/(10^i))
0.999... = lim j->∞ (sum(i=1:j)(9/10^i))
0.999... = lim j->∞ (1 - 1/(10^j))
0.999... = 1 - lim j->∞ (1/(10^j))
0.999... = 1 - 0
0.999... = 1

Name: Anonymous 2006-12-19 0:48

Or you can use a geometric series to prove it:

               ∞
0.99999... = 9(∑(1/10)^n - 1) = 9(1/(1-1/10) - 1) = 9(10/9 - 1)
               0

= 10 - 9 = 1

Name: Anonymous 2006-12-19 1:53

>>163
I'm arguing because this has been pointed out a number of times, yet you keep coming back to the thread to spout the same sophomoric bullshit all over again. Furthermore, you keep swinging back and forth between two very different claims: (1) that you cannot always divide by 3 "in real life," and (2) that you cannot divide by 3 in a purely mathematical sense. It's already been shown that the latter is nonsense, and it was agreed upon early in the thread that the former is correct. I don't know if you're taking agreement with (2) to imply agreement with (1), or if you think that making the same false claim over and over again will somehow change peoples' minds, but I see no reason for you to continue posting in the manner that you have been.

Name: LordRiordan 2006-12-19 17:14

Your proper english doesn't scare me.

Name: Anonymous 2006-12-20 2:38

OP is either a troll or is now pretending to be one since his shit has being ruined.

For those interested, the 0.999... = 1 argument has been successfully and succinctly proven by >>118 >>127 >>165 and 166. The problem is one that throws a lot of people, but the above proofs should clear it up for anyone who has a shred of common sense.

Name: Anonymous 2006-12-20 2:39

>>169
Unfortunately, "anyone who has a shred of common sense" is a group which makes up only about 5% of /sci/'s population.

Name: LordRiordan 2006-12-20 3:30

I've been trolling and loling. :p

Name: LordRiordan 2006-12-20 3:30

Although it has brought up a good discussion. :p 172 GET

Name: Anonymous 2006-12-20 5:02

You're dumb. Rational numbers are those which can be represented as a fraction. Just because '1/3' isn't very easily represented as a decimal doesn't mean it's not a number. You are dumb. Take some higher level math courses and start complaining about how the number 'i' doesn't exist.

Name: LordRiordan 2006-12-20 13:11

Whats with 13 dimentional math?

Name: Anonymous 2006-12-22 18:27

>>174
13 is a bad luck number, let's have 14 dimensions and set n to 0

Name: Anonymous 2006-12-28 20:24

Anon fails at math.

Name: Anonymous 2006-12-28 21:00

>>175
I want -5 dimensions.

Name: LordRiordan 2006-12-31 18:22

Name 13 dimensions... go

Name: Anonymous 2006-12-31 19:39

>>177

I want 1/3 dimensions.

Name: Anonymous 2006-12-31 20:10

>>178
a, b, c, d, e, f, g, h, i, j, k, l, m

Name: LordRiordan 2007-01-01 15:54

EXPLAIN these dimensions. Go.

Name: Anonymous 2007-01-01 17:16

>>181

Explain "redness" to someone that's blind. Feel free to use as much physics as you want.

Notice that I didn't say "the colour red", which is very easy. I said "redness"; the effect you get from looking at something that is red that makes you respond. Use all the psychology you want.

Name: Anonymous 2007-01-01 17:51

>>181
I don't need to, they are mathematical dimensions.

Name: Anonymous 2007-01-02 18:36

Really, how does hyperspace and polytopes and multiple spacial dimensions relate to the American experience of the black man today?

Name: LordRiordan 2007-01-02 19:21

So many questions... so little answers.

How come 3/3 = .99999 ?

Name: Anonymous 2007-01-02 22:01

>>185
3/3 = 1 you dumbass.

Name: Anonymous 2007-01-02 22:30

>>186
And 1 and .999... are the same number. Question answered.

Name: Anonymous 2007-01-02 22:31

>>187
1-0.9999.. = 0.000...01 !=0
so they aren't the same number, asshole.

Name: Anonymous 2007-01-02 22:36

>>188
lim x->inf 10^-x == 0

Name: Anonymous 2007-01-02 22:41

>>188
This is the same problem every other "0.999... != 1" idiot has: the inability to distinguish between "infinity" and "a really big number."

Name: Anonymous 2007-01-02 22:43

>>190
you can't compare infinity and a really big number. it's like apples and donkeys.

Name: Anonymous 2007-01-02 23:20

and kidneys

Name: LordRiordan 2007-01-03 1:21

.99999999... isn't 1, just very close to it.

1/3 = .3333...
2/3 = .6666...
3/3 = .9999...

Otherwise one piece is bigger then the other. It all goes back to my original post.

LORDRIORDAN FTW

Name: Anonymous 2007-01-03 1:29

>>193

And there you have it. 3/3 != 1.

Name: LordRiordan 2007-01-03 1:40

So is there any definate answer to this that is written in a book somewheres?

Name: Anonymous 2007-01-03 1:49

>>188
Read the fucking thread, you arrogant cockbite. .000...1 has no meaning. Infinitesimals do not exist in the reals - give me one number such that x/2 !< x, x!=0.

>>195
Yes, since books are never wrong. Every book that isn't full of shit will tell you this. Go fucking Google it.

Name: LordRiordan 2007-01-03 2:03

Don't be a retard 196. 1 - .9999... doesn't equal 0. Not that I'm positive on what you are trying to get at as you never really make a reference to any subject.

Name: Anonymous 2007-01-03 2:07

I thought the >>188 was pretty clear. If it doesn't equal zero, what? .000...1 is not a number.

Name: Anonymous 2007-01-03 2:18

>>196
"give me one number such that x/2 !< x, x!=0."

lol. -1.

Name: Anonymous 2007-01-03 2:30

Heh, whoops. Forgot the absolute value bars. Second try:
Find any x such that |x/2| !< |x|, x != 0.

Name: LordRiordan 2007-01-03 2:34

200 GET!!!

Name: LordRiordan 2007-01-03 2:43

Name: Anonymous 2007-01-03 3:03

>>202
Hyperreals: named so because they are a superset of the reals and NOT THE NUMBER SYSTEM WE ACTUALLY USE.

Name: LordRiordan 2007-01-03 8:02

203: Ok... and? :p

Name: LordRiordan 2007-01-03 13:26

203: I dont understand why you would respond to a link with what you said.

Name: Anonymous 2007-01-03 15:11

>>203
I'm totally using it right now

Name: Anonymous 2007-01-03 17:14

>>205

I'm guessing hyperreals is useful for certain things, but much of math doesn't entail those ideas. Indeed, calculus wouldn't work at all so anything based on that would fail under hyperreals, so most mathematicians don't use hyperreals on a day to day basis.

Name: Anonymous 2007-01-04 3:46

>>205
You mentioned the hyperreals. I said why they aren't relevant. Stop trolling.

Name: LordRiordan 2007-01-04 4:21

They are relevant when used ass cock.

Name: Anonymous 2007-01-08 2:05 (sage)

>>39
divide those math professors by 3 TARD

Name: Anonymous 2007-01-08 2:06 (sage)

>>39
DIVIDE THOSE MATH PROFESSORS BY 3 TARD

Name: Anonymous 2007-01-08 2:06

>>39
DIVIDE THOSE MATH PROFESSORS BY 3 TARD

Name: Anonymous 2007-01-10 20:16

All of you guys are missing the point.  It's not the math that's wrong- it's YOU.  Humans haven't yet found a label precise enough for anything that can be divided into 3 equivalent sections.  Thus, 1/3= .3333.  An approximate label.  So according to our primitive labels, 3/3= 3(1/3)=3(.333)=.999=1
This is a stupid argument.

Name: sage 2007-01-10 20:47

>>213
BASE 3.

Name: Anonymous 2007-01-10 21:59

>>213
Red 5, you've terminated your repeating decimals- what's wrong?

Name: Anonymous 2007-01-10 22:02

>>213
failed
¯¯¯¯¯¯¯ _
1/3 = 0.3

Name: Anonymous 2007-01-10 22:47

>>216
>>213
circular argument. fail.

Name: Anonymous 2007-01-10 23:04

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Name: LordRiordan 2007-01-11 4:03

No, I'm the best troll in the math department.
#218 is just a fuck tard nipple shit face cock eyed anus mangler.

Good day.

Name: Anonymous 2007-01-11 5:40

>>219
Wow. Your mother must be proud.

Name: Anonymous 2007-01-11 12:23 (sage)

>>219
Updated
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Name: Anonymous 2007-01-11 12:24 (sage)

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Name: Anonymous 2007-01-11 12:24 (sage)

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Name: Anonymous 2007-01-11 12:24 (sage)

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Name: Anonymous 2007-01-11 12:24 (sage)

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Name: Anonymous 2007-01-12 0:39

A third of something exists with a lot more ease than I sleep with knowing people like you roam the earth.

Name: Anonymous 2007-01-12 10:10

1 - 0.999... = 0.000...

Hmm, an infinite string of zero's. Seems fine to me.

Name: Anonymous 2007-01-12 15:11

>>227
This is correct.

Name: LordRiordan 2007-01-13 3:19

Yawn. Its always approaching 1 but never equal to fags. You cant do 1 - .999..

Name: Anonymous 2007-01-13 3:26

>>229
One constant approaching another. Fascinating.

Name: Anonymous 2007-01-13 3:52

>>229 is right. 1 =/= fags.

However, 1 DOES equal .999...

Name: Anonymous 2007-01-13 11:24 (sage)

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Name: Anonymous 2007-01-13 11:24 (sage)

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Name: Anonymous 2007-01-13 11:24 (sage)

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Name: LordRiordan 2007-01-13 23:42

Put it on a graph then and see if it works. Youll go on for an infinity watching it get closer and closer to one without reaching it.

Name: Anonymous 2007-01-13 23:58

>>235
Number's don't move, dimwit.

Name: Anonymous 2007-01-14 0:41 (sage)

>>235
You need to gb2 high school, and learn about infinite series.

P.S.
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Name: LordRiordan 2007-01-14 2:59

It doesn't have to move. Just try graphing the number... it never reaches 1.

Name: LordRiordan 2007-01-14 2:59

lol at lame ass copy pasta

Name: Anonymous 2007-01-14 4:45

>>238

I did. Suspiciously, it looks exactly like 1! Maybe they're twins separated at birth?

Name: Anonymous 2007-01-14 7:08

>>238
It either is 1 or is some distance away from it. Give one number in that interval, or stop being a fag and explain why you can't.

Name: Anonymous 2007-01-14 13:09

>>239
I did. Suspiciously, it looks exactly like truth! Maybe they're twins separated at birth?

Name: Anonymous 2007-01-14 15:57 (sage)

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all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  v

Name: Anonymous 2007-01-14 15:57 (sage)

LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  LordRiordan is a unemployed high school dropout who spends all of his time on these boards.  vv

Name: Anonymous 2007-01-15 19:46

"atoms" don't exist, silly asses.

What if I had three things of exactly equal mass, size, shape etc. and I were to mush them together. If I divided them into their original parts, wouldn't they then be three equal parts?

Your Logic FAILS dumbass

Name: Anonymous 2007-01-16 6:27 (sage)

>>1

you fail

go outside grab a stick get a saw and measure three lengths and cut them stand the three sticks on end and you will see they are level no fuck off you failure of a faggot and catch aids while your at it!

Name: LordRiordan 2007-01-19 19:16

245: Id like to see you do that.
246: You obviously havent read the thread. You fail for being a stupid dick wad ass muncher. Id like to see the perfect stick that is equal in weight in every sq/cm much less perfectly straight (two things that are impossible anyways)

Name: Anonymous 2007-01-19 20:49 (sage)

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Name: Anonymous 2007-01-19 20:50 (sage)

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Name: Anonymous 2007-01-19 20:50 (sage)

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Name: Anonymous 2007-01-19 20:50 (sage)

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Name: Anonymous 2007-01-19 20:50 (sage)

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Name: Anonymous 2007-01-19 20:50 (sage)

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Name: Anonymous 2007-01-19 20:50 (sage)

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Name: Anonymous 2007-01-19 20:50 (sage)

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Name: Anonymous 2007-01-19 20:51 (sage)

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Name: Anonymous 2007-01-19 20:51 (sage)

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Name: Anonymous 2007-01-19 20:51 (sage)

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Name: Anonymous 2007-01-19 20:54

thread... open?

Name: LordRiordan 2007-01-20 1:35

Definately open. 248-258 is the same faggot spamming that I failed highschool.

Name: Anonymous 2007-01-20 2:00 (sage)

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Name: Anonymous 2007-01-20 2:00 (sage)

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Name: Anonymous 2007-01-20 2:00 (sage)

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Name: Anonymous 2007-01-20 2:00 (sage)

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Name: Anonymous 2007-01-20 2:00 (sage)

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Name: Anonymous 2007-01-20 2:01 (sage)

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Name: Anonymous 2007-01-20 2:01 (sage)

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Name: Anonymous 2007-01-20 2:01 (sage)

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Name: Anonymous 2007-01-20 2:01 (sage)

THREAD CLOSED - LordRiordan is a faggot

Name: Anonymous 2007-01-20 2:01 (sage)

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Name: Anonymous 2007-01-20 2:01 (sage)

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Name: Anonymous 2007-01-20 2:01 (sage)

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Name: Anonymous 2007-01-20 2:02 (sage)

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Name: Anonymous 2007-01-20 2:02 (sage)

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Name: LordRiordan 2007-01-20 2:07

274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT

Name: Anonymous 2007-01-20 11:51 (sage)

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Name: Anonymous 2007-01-20 11:52 (sage)

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Name: Anonymous 2007-01-20 11:52 (sage)

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Name: Anonymous 2007-01-20 11:52 (sage)

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Name: Anonymous 2007-01-20 11:52 (sage)

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Name: LordRiordan 2007-01-20 15:02

274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT 274 IS A FUCKING FAGGOT

Name: Anonymous 2007-01-21 13:44 (sage)

THREAD CLOSED - Stop bumping this thread LordRiordan, you fat shut-in faggot.

Name: Anonymous 2007-01-21 13:45 (sage)

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Name: Anonymous 2007-01-21 13:45 (sage)

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Name: Anonymous 2007-01-21 13:45 (sage)

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Name: Anonymous 2007-01-21 13:45 (sage)

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Name: Anonymous 2007-01-21 13:45 (sage)

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Name: Anonymous 2007-01-21 16:43

mn

Name: Anonymous 2007-01-21 20:08 (sage)

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Name: Anonymous 2007-01-21 20:08 (sage)

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Name: Anonymous 2007-01-21 20:08 (sage)

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Name: Anonymous 2007-01-21 20:08 (sage)

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Name: Anonymous 2007-01-21 20:10 (sage)

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Name: LordRiordan 2007-01-21 22:57

*sigh* 293 is a faggot.

The fact remains that .999... isn't = to 1. That defeats [0,1)

Name: Anonymous 2007-01-21 23:02

>>294
Excellent tactic: declare your position fact and present no argument.

Note that [0,1) doesn't include .999..., since an open set requires that you be able to move closer no matter how close you get and, even if .999... and 1 were different numbers, there could be no numbers between them.

Name: LordRiordan 2007-01-21 23:15

[0,1) includes all numbers including 0 and up to 1 but not including 1. This would include .999...? What's wrong with not being able to be any numbers between .999... and 1?

Name: Anonymous 2007-01-22 0:17

An open set by definition has no single 'last number' - that is a closed set. [0,1). If you pick any positive number x less than 1, it will be in that set, and there will be infinitely many numbers y s.t. x < y < 1. This is what it means for a set (in this case, the reals) to be dense.

To tie this back to the topic, 1 is by definition the smallest number greater than all numbers in the set [0,1). Therefore, any number that is greater than all numbers in that set must be >= 1. .999... is obviously not greater than 1, so it is equal. QED. Stop being religiously devoted to your position and just let go for a sec. No one is going to think less of you for slowing down and re-examining your ideas.

Name: Anonymous 2007-01-22 0:38 (sage)

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Name: Anonymous 2007-01-22 0:38 (sage)

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Name: Anonymous 2007-01-22 0:38 (sage)

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Name: Anonymous 2007-01-22 0:38 (sage)

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Name: Anonymous 2007-01-22 0:38 (sage)

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Name: Anonymous 2007-01-22 0:59

>>302
Well, I'm willing to try to reason with him.

Name: LordRiordan 2007-01-22 2:42

Im sad I didn't 300 get. I agree with anon 303.

Name: Anonymous 2007-01-22 2:57

303=297=295=me. 'Him' refers to you.

Name: LordRiordan 2007-01-22 2:58

I know that.
???

Name: Anonymous 2007-01-22 10:03 (sage)

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Name: Anonymous 2007-01-22 10:03 (sage)

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Name: Anonymous 2007-01-22 10:03 (sage)

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Name: Anonymous 2007-01-22 10:03 (sage)

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Name: Anonymous 2007-01-22 10:03 (sage)

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Name: LordRiordan 2007-01-22 11:32

THREAD CLOSED. Fag.

Name: Anonymous 2007-01-22 17:31

THREAD CLOSED.  NO U.

Name: Anonymous 2007-01-23 0:08 (sage)

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Name: Anonymous 2007-01-23 0:09 (sage)

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Name: Anonymous 2007-01-23 4:07

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Name: Anonymous 2007-01-23 7:42 (sage)

  ∧_∧   ∧_∧   ∧_∧   ∧_∧      ∧_∧
 ( ・∀・)   ( `ー´)  ( ´∀`)  ( ゚ ∀゚ )    ( ^∀^)
 (    つ┳∪━━∪━∪━━∪━∪━∪━┳⊂     つ
 | | |  ┃This thread has peacefully ended.┃ | | |
 (__)_) ┻━━━━━━━━━━━━━━┻ (__)_)     Thank you.

Name: LordRiordan 2007-01-23 17:08

  ∧_∧   ∧_∧   ∧_∧   ∧_∧      ∧_∧
 ( ・∀・)   ( `ー´)  ( ´∀`)  ( ゚ ∀゚ )    ( ^∀^)
 (    つ┳∪━━∪━∪━━∪━∪━∪━┳⊂     つ
 | | |  ┃Divide by 3 I think not┃ | | |
 (__)_) ┻━━━━━━━━━━━━━━┻ (__)_)     Thank you.

Name: Anonymous 2007-01-23 17:11

>>321
You still fail at all things math.

Name: Anonymous 2007-01-23 19:01 (sage)

THREAD CLOSED BECAUSE LORDRIORDAN HAS PROVEN HIS STUPIDITY BY BEING UNABLE TO POST IN SHIFT_JIS

Name: Anonymous 2007-01-23 19:01 (sage)

THREAD CLOSED BECAUSE LORDRIORDAN HAS PROVEN HIS STUPIDITY BY BEING UNABLE TO POST IN SHIFT_JIS

Name: Anonymous 2007-01-23 19:01 (sage)

THREAD CLOSED BECAUSE LORDRIORDAN HAS PROVEN HIS STUPIDITY BY BEING UNABLE TO POST IN SHIFT_JIS

Name: Anonymous 2007-01-23 19:01 (sage)

THREAD CLOSED BECAUSE LORDRIORDAN HAS PROVEN HIS STUPIDITY BY BEING UNABLE TO POST IN SHIFT_JIS

Name: Anonymous 2007-01-23 19:01 (sage)

THREAD CLOSED BECAUSE LORDRIORDAN HAS PROVEN HIS STUPIDITY BY BEING UNABLE TO POST IN SHIFT_JIS

Name: Anonymous 2007-01-23 19:02

>>326
I don't know how, either, and I am not a denialist.

Don't change these.
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