The imaginary number 'i' (or 'j' in electrical engineering) is not a paradox. 'i' is a mathematical convention to represent the square root of negative one. The algebra and calculus involving complex numbers (all numbers with either real or imaginary parts) have been logically defined so that 'complex math' and 'real math' are logically compatible.FalloutJack said:That part was actually a joke, the imaginery VS real bit. However, I'm going to need some citation on the part of you stating that imaginery numbers have an application beyond thought experiment. Since 'i' is literally representing a paradox, and that this is actually the tamest aspect of math acting less like science and more like philosophy, it smacks of carelessness. "We didn't feel like figuring out where this leftover piece of the puzzle actually comes from, so here, have a Lowercase-I." This is where math sort of falls short for me. I understand the logic you place behind it, pass the course, and move on...but it doesn't cry out as the pinnacle of precision anymore. And Discreet Mathimatics is very much this. It's the metaphysics of math that gives way to some interesting thoughts, but it's not logic and it's not science anymore. You follow my meaning, right?Maze1125 said:Imaginary numbers are just a name, they aren't actually any more imaginary than the real numbers.FalloutJack said:I believe it's fair that I started calling bullshit when we started on imaginary numbers, as though working with ones that actually exist wasn't good enough.
Physicists use imaginary numbers to solve real problems every single day. Without imaginary numbers we wouldn't have the monitors you're using to read the posts people make on this site, they have very real and practical uses.
The same is true of a lot of maths. It may start as someone's "cool idea", but so many many advances in science have come from maths that someone just made up for the hell of it. If mathematicians waited until maths was useful before they came up with it, then our technology would be at least 50 years behind where it is today.
I'm getting more of a "13 Year Old that doesn't know what he's doing vibe".Lord Beautiful said:Yes. You so totally disproved math. Because of this fantastic, unprecedented find, I think I shall sell my differential equations and quantum mechanics books to some poor sap who hasn't seen this brilliant proof. Lord knows I could use the extra cash.
Anybody else getting a troll vibe from this guy?
Better way to write it:Volafortis said:You completely fail at math, because you can't divide by 0.
Now, time to blow minds.
.333... + .666... = .999...
(1/3)+(2/3) = (3/3)
3/3 = 1
.999... = 1
^ Actually true
Wrong, it's NOT infinity. The limit of 0/0 is infinity, though. But 0/0 is undefined. It doesn't exist or make sense.gwilym101 said:0/0 = infinity not 0
No it doesn't. It means if all of your apples are half of a pile, a full pile is twice as many apples as you have.Mattismen said:x/0.5 = 2x
Which means that if I put all of my apples in half a pile I would get twice as many!
Just had to put that out there
I prefer this proof:Volafortis said:You completely fail at math, because you can't divide by 0.
Now, time to blow minds.
.333... + .666... = .999...
(1/3)+(2/3) = (3/3)
3/3 = 1
.999... = 1
^ Actually true
Step 1 is a fallacy.........ergo you did not disprove it. Also the number of mistakes afterwards just make this post worseZack1501 said:So, I have an interesting math based question. If you don't like/hate math or don't understand basic algebra(I understand if you don't) just hit the big THE ESCAPIST logo in the corner and that will bring you home.
I wanted to know zero divided by zero equals. I tried to do at algebraically. This is what I did:
-The answer I was trying to get will be represented by x
0/0=x
-I Multiply both sides by zero
0=0x
-This equals out to be 0=0 because anything times 0 is 0.
-This proves that x can be any number. for example if 5=x than 0=5*0 still is 0=0
-I rearrange 0=0x to be:
0/x=0
-Now since x can be any number now lets say x=0
-That makes this:
0/0=0
-And since x=0/0 (Right in the beginning^) and 0=0/0 also then x=0
-If you fallowed so far and remember that x can be any number then that means zero can also be any and every number. So 0 can now equal 5 or any other number.
I realize something is most likely wrong here.
So tell me escapist, Did i Disprove math?
Edit: I see the error now. Its not that x equals 0 its that at one point x CAN = 0
It would in fact make that but its still undefined. Its just a different way to write it. There is nothing x could be to have the first side equal five where as in 0x=0, x is any real number.MegaR said:how about x=5/0
would that make 0x = 5?
yea.....
No...Bobbity said:Wow, seven whole pages? You don't need my tired reasoning on top of all that, so...
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