All I've done is shown the algebraic proof that 0.999rep = 1, the mystery lies in finding where that extra 0.(insert infinite string of 0's)1 comes from to bump all the 9's up to 10's thus making 0.999rep = 1. If we can figure out where that extra decimal comes from, we will have absolute control over the entire universe.Vigilante 989 said:RJ 17 said:Alright, many of you have probably seen this before, but for those of you who haven't: get ready for some mathematical magic as I show you an old trick I learned back in highschool to algerbraeicly (spelling) prove that 0.999repeating actually = 1 by itself.
Start with x = 0.999rep
x = 0.999rep
Multiply both sides of the equation by 10
10x = 9.999rep
Subtract x from both sides.
9x = 9 (10x - x = 9x, 9.999rep - x (which was originally stated as = 0.999rep) = 9)
Divide both sides by 9
x = 1
You can also do this with fractions and logic.
1/3 as a fraction is equal to 0.333rep
2/3 as a fraction is equal to 0.666rep
3/3 as a fraction SHOULD equal 0.999rep....but as a fraction, having three thirds of something means you've got the whole thing, which equates to 1.
(on a side not...the Captcha required to post this contained the word "deleted" spelled backwards and upsidedown...what in god's name am I supposed to do there? (cycled through it) )
Alright hotshot, how do you go about creating matter?
RJ 17 said:All I've done is shown the algebraic proof that 0.999rep = 1, the mystery lies in finding where that extra 0.(insert infinite string of 0's)1 comes from to bump all the 9's up to 10's thus making 0.999rep = 1. If we can figure out where that extra decimal comes from, we will have absolute control over the entire universe.Vigilante 989 said:RJ 17 said:Alright, many of you have probably seen this before, but for those of you who haven't: get ready for some mathematical magic as I show you an old trick I learned back in highschool to algerbraeicly (spelling) prove that 0.999repeating actually = 1 by itself.
Start with x = 0.999rep
x = 0.999rep
Multiply both sides of the equation by 10
10x = 9.999rep
Subtract x from both sides.
9x = 9 (10x - x = 9x, 9.999rep - x (which was originally stated as = 0.999rep) = 9)
Divide both sides by 9
x = 1
You can also do this with fractions and logic.
1/3 as a fraction is equal to 0.333rep
2/3 as a fraction is equal to 0.666rep
3/3 as a fraction SHOULD equal 0.999rep....but as a fraction, having three thirds of something means you've got the whole thing, which equates to 1.
(on a side not...the Captcha required to post this contained the word "deleted" spelled backwards and upsidedown...what in god's name am I supposed to do there? (cycled through it) )
Alright hotshot, how do you go about creating matter?
0.0_1 = 0. Where did you get the idea that 0.9_ is infinitely close to 1 without being 1? If you want that number, write "1 - ε"RJ 17 said:But how can 0.999_ = 1 when 0.999_ is meant to represent a number infinitely close to 1 without actually being 1? Where does the extra 0.(insert infinite line of zeros)1 come from that bumps all the 9s ahead of it to 10s, thus making it 1?Mortai Gravesend said:That doesn't mean matter can be created though. It just means that .999 repeating is the same as 1.
Most likely. I hope I'm still around to watch us rip the universe a new one. :3Vigilante 989 said:RJ 17 said:All I've done is shown the algebraic proof that 0.999rep = 1, the mystery lies in finding where that extra 0.(insert infinite string of 0's)1 comes from to bump all the 9's up to 10's thus making 0.999rep = 1. If we can figure out where that extra decimal comes from, we will have absolute control over the entire universe.Vigilante 989 said:RJ 17 said:Alright, many of you have probably seen this before, but for those of you who haven't: get ready for some mathematical magic as I show you an old trick I learned back in highschool to algerbraeicly (spelling) prove that 0.999repeating actually = 1 by itself.
Start with x = 0.999rep
x = 0.999rep
Multiply both sides of the equation by 10
10x = 9.999rep
Subtract x from both sides.
9x = 9 (10x - x = 9x, 9.999rep - x (which was originally stated as = 0.999rep) = 9)
Divide both sides by 9
x = 1
You can also do this with fractions and logic.
1/3 as a fraction is equal to 0.333rep
2/3 as a fraction is equal to 0.666rep
3/3 as a fraction SHOULD equal 0.999rep....but as a fraction, having three thirds of something means you've got the whole thing, which equates to 1.
(on a side not...the Captcha required to post this contained the word "deleted" spelled backwards and upsidedown...what in god's name am I supposed to do there? (cycled through it) )
Alright hotshot, how do you go about creating matter?
With that type of control, I guarantee the human race will find away to royaly fuck it up.
exactly, our flawed understanding of infinity does not prove anything. It only proves we don't really get it. the first and second law of thermodynamics got you covered in material creation, math is a tool, created by man, so it's conventions are limited by our understanding.CulixCupric said:right, .999_ != 1.0RJ 17 said:But how can 0.999_ = 1 when 0.999_ is meant to represent a number infinitely close to 1 without actually being 1? Where does the extra 0.(insert infinite line of zeros)1 come from that bumps all the 9s ahead of it to 10s, thus making it 1?Mortai Gravesend said:That doesn't mean matter can be created though. It just means that .999 repeating is the same as 1.
but .333_ = 1/3 and .666_ = 2/3
1/3 + 2/3 = 3/3 = 1/1 = 1.0
also, a flaw in conceptual math does not prove that matter can be created.
I'm fairly certain that 1/3 does not equal .33333 repeating since its not actually a third of 1. The thing is that drag it on for a while and it essentially acts like 1/3. Its the same reason its reasonable to approximate graphs with asymptotes for very large numbers as x=asymptote at very large x.CulixCupric said:right, .999_ != 1.0RJ 17 said:But how can 0.999_ = 1 when 0.999_ is meant to represent a number infinitely close to 1 without actually being 1? Where does the extra 0.(insert infinite line of zeros)1 come from that bumps all the 9s ahead of it to 10s, thus making it 1?Mortai Gravesend said:That doesn't mean matter can be created though. It just means that .999 repeating is the same as 1.
but .333_ = 1/3 and .666_ = 2/3
1/3 + 2/3 = 3/3 = 1/1 = 1.0
also, a flaw in conceptual math does not prove that matter can be created.
And what would that look like as a decimal? 0.999_AngryMongoose said:0.0_1 = 0. Where did you get the idea that 0.9_ is infinitely close to 1 without being 1? If you want that number, write "1 - ε"RJ 17 said:But how can 0.999_ = 1 when 0.999_ is meant to represent a number infinitely close to 1 without actually being 1? Where does the extra 0.(insert infinite line of zeros)1 come from that bumps all the 9s ahead of it to 10s, thus making it 1?Mortai Gravesend said:That doesn't mean matter can be created though. It just means that .999 repeating is the same as 1.
The 0.....1 doesn't come from anywhere, it's meaningless. You can't have "an infinite line of zeros that end in 1", you cant even have "a nearly infinite line of zeros that ends in 1".RJ 17 said:All I've done is shown the algebraic proof that 0.999rep = 1, the mystery lies in finding where that extra 0.(insert infinite string of 0's)1 comes from to bump all the 9's up to 10's thus making 0.999rep = 1. If we can figure out where that extra decimal comes from, we will have absolute control over the entire universe.Vigilante 989 said:RJ 17 said:Alright, many of you have probably seen this before, but for those of you who haven't: get ready for some mathematical magic as I show you an old trick I learned back in highschool to algerbraeicly (spelling) prove that 0.999repeating actually = 1 by itself.
Start with x = 0.999rep
x = 0.999rep
Multiply both sides of the equation by 10
10x = 9.999rep
Subtract x from both sides.
9x = 9 (10x - x = 9x, 9.999rep - x (which was originally stated as = 0.999rep) = 9)
Divide both sides by 9
x = 1
You can also do this with fractions and logic.
1/3 as a fraction is equal to 0.333rep
2/3 as a fraction is equal to 0.666rep
3/3 as a fraction SHOULD equal 0.999rep....but as a fraction, having three thirds of something means you've got the whole thing, which equates to 1.
(on a side not...the Captcha required to post this contained the word "deleted" spelled backwards and upsidedown...what in god's name am I supposed to do there? (cycled through it) )
Alright hotshot, how do you go about creating matter?
2.9999...=xRJ 17 said:That's not necessarily true, if it was, then 2.999rep would = 3. But the proof given in my OP doesn't work in that case. It only works for 0.999rep = 1
thats the problem, you CAN't express that as a decimal. only approach it. you'll get a wiggly '=' meaning 'roughly'RJ 17 said:And what would that look like as a decimal? 0.999_AngryMongoose said:0.0_1 = 0. Where did you get the idea that 0.9_ is infinitely close to 1 without being 1? If you want that number, write "1 - ε"RJ 17 said:But how can 0.999_ = 1 when 0.999_ is meant to represent a number infinitely close to 1 without actually being 1? Where does the extra 0.(insert infinite line of zeros)1 come from that bumps all the 9s ahead of it to 10s, thus making it 1?Mortai Gravesend said:That doesn't mean matter can be created though. It just means that .999 repeating is the same as 1.
Okay ... i need to find a physicist girlfriend... because a chick reeling that off in the bedroom would blow my freakin mind... lmaoBerenzen said:Any mathematician will tell you that .999... is equal to 1. This is because 0.000...1 does not exist. A mathematician could explain it better than I can.
The closest way that we can create matter is by converting energy into it. However, Mass and Energy must be conserved unless you want to get into insane multidimensional physics that is no more than conjecture.
The equation to Mass-Energy equivalence is E^2=m^2c^4 + p^2c^2.
Light has mass-energy equivalence depending on the energy of the photon. Measured in MeV (Mega electronVolts), energy is affected by gravity because of warping in space-time, as defined through general relativity.
A black hole has a definite mass, and in fact it can be calculated by the size of it's schwartzchild radius- radius of the event horizon. Equation is r=2GM/c^2. All matter has a schwartzchild radius, but most of them are contained within the actual particles itself.
F=GMM/r^2 cannot equal infinite. Even as you approach the center of a black hole it does not equal infinite. However, it approaches it asymptotically. In order for an object to have infinite gravitational attraction to another object, it must exist at the exact same location of the other object, a physical impossibility.
People, before you start spewing out physics, you should probably take a physics/astronomy course beforehand, instead of just looking at equations and thinking you know it.
Rabid Toilet said:Oh god, this thread again.
Hepaderp? It has no decimal representation. For any decimal you create, you can find one closer (that's the hole point); but 0.9 recurring (which shall hence forth be referred to by it's proper name: 1) is not less than one.RJ 17 said:And what would that look like as a decimal? 0.999_AngryMongoose said:0.0_1 = 0. Where did you get the idea that 0.9_ is infinitely close to 1 without being 1? If you want that number, write "1 - ε"RJ 17 said:But how can 0.999_ = 1 when 0.999_ is meant to represent a number infinitely close to 1 without actually being 1? Where does the extra 0.(insert infinite line of zeros)1 come from that bumps all the 9s ahead of it to 10s, thus making it 1?Mortai Gravesend said:That doesn't mean matter can be created though. It just means that .999 repeating is the same as 1.
I've seen this trick a couple times, and it is incorrect because it breaks cardinality. The key thing to realize is that infinity is not the same size in all cases. When you multiply x=0.9999rep by 10, you have increased the cardinality by 1 with a hidden zero all the way at the end. Thus, 10*x and x don't have the same cardinality. As a result, 10*x - x =/= 9.0000rep; there is a hidden 1 all the way at the last digit. Another way of seeing it is that 10*x =/= 9 + x because of the differences in cardinality. Consequently, 10*x - x = 9*x =/= 9.RJ 17 said:Alright, many of you have probably seen this before, but for those of you who haven't: get ready for some mathematical magic as I show you an old trick I learned back in highschool to algerbraeicly (spelling) prove that 0.999repeating actually = 1 by itself.
Start with x = 0.999rep
x = 0.999rep
Multiply both sides of the equation by 10
10x = 9.999rep
Subtract x from both sides.
9x = 9 (10x - x = 9x, 9.999rep - x (which was originally stated as = 0.999rep) = 9)
Divide both sides by 9
x = 1
You can also do this with fractions and logic.
1/3 as a fraction is equal to 0.333rep
2/3 as a fraction is equal to 0.666rep
3/3 as a fraction SHOULD equal 0.999rep....but as a fraction, having three thirds of something means you've got the whole thing, which equates to 1.
(on a side not...the Captcha required to post this contained the word "deleted" spelled backwards and upsidedown...what in god's name am I supposed to do there? (cycled through it) )
Given I did a degree in Maths, yes I did. What you may not know is that such numbers are called equivalencies and are used as approximations. 0.9Rep x 10 = 10 because that is the only way to get .9Rep. (It's an infinite approximation in itself ; An asymptote to give it it's contextual definition)CaptainKarma said:What do you mean by "an infinite"? People multiply infinitely long numbers together all the time. Theres this thing called, Pi, you may have heard of it.