Given: A=B Multiply both sides by A: A^2=AB Now subtract both sides by B^2: A^2 - B^2 = AB - B^2 Factor both sides: (A+B)(A-B) = B(A-B) Divide both sides by (A-B): A+B = B But we know that A=B so Substitute A for B: B+B = 2B = B so: 2B = B Divide by B: 2 = 1 THATS THE PROOF Can anyone see where the fault is?? >Please Register or Log in to view the hidden image! Arc
Divide both sides by (A-B): A+B = B - isn't this division by zero? But we know that A=B so Substitute A for B: B+B = 2B = B so: 2B = B - 2B is not 1B, unless A and B are zero Divide by B: 2 = 1 - and of course 2 =/= 1
OK it does, it does, it does, it does! I cant be assed to argue with retards masquerading as the mathematics establisment anymore.
Well as I have said before... I would be happy to help clear any miscommunications between the two of us. However, you do not want to budge and my patience runs dry when I cannot even understand what it is you are trying to say other than "0.333 does not equal 1/3." There are many ways to interpret this. Maybe you think 0.333... cannot ever get close enough to 1/3? Maybe you do not understand what the equivalence relation "=" means (sure, you "know" it from high school... but have you ever taking an upper level math class?)? Maybe you do not understand rational numbers? Or what it means to be "equal" in terms of rational numbers? Maybe you don't understand division? Let us know. I really want to clear it up... but I cannot help when you do not fully explain what you mean.
No we are talking 0.3 recurring notated as 0.3... I say it is merely as close as you can possibly get to 1/3 in the decimal system, but the likes of absane dance around and thus insist it is dead equal. I quit though: 0.3... = 1/3
Ok. So you are saying that 0.333... is not equal to 0.3* where * is an infinite number of 3's? You might be confusing 0.333... with the division process. Dividing, we cannot fully right out 1/3. However, notation wise "..." means "continues forever." In mathematics, when you carry out the infinite, things happen that do not happen in the finite world. In the finite world, 0.333... doesn't "exist." And also "1/3" doesn't exist. There is not "1/3" of something. Everything exists on it's own. We just might call something "1/3" to mean "part of the whole in which it came," but in reality all "wholes" are made up of single objects. I do not know if that makes sense, but that is how I think of it. Mathematics and reality do not run parallel. Also, it is an axiom. I quote this from one of my many overpriced mathematics books: The real numbers can be equated with the set of all base 10 decimal representations. That is, every real number can be written in a form like 338.1898..., where the decimal might or might not terminate, and might or might not fall into a pattern of repetition. Furthermore, every decimal form you can construct represents a real number. Strangely, though, there might be more than one decimal representation for a certain real number. So, if we assume that this axiom is true, then 0.333... = 1/3. However, if you want to assume this axiom is false, you can develop mathematics based on that fact. However, you will likely run into contradictions. If you really want to me try, I can try to come up with some. No need for that. Maybe you do not understand what "..." means and what "=" means? Do not give in just to ignore your misunderstanding.
Thank you! Finite is sometimes just shorthand for infinite. π is transcendental, yet by convention we can write it in one letter. Woo!
0.33... is just an infinite expression. I have come to realize that your problem actually has to do with the Axiom of Choice. It seems to me that you feel it is incorrect. http://en.wikipedia.org/wiki/Axiom_of_choice "Intuitively speaking, AC says that given a collection of bins, each containing at least one object, then exactly one object from each bin can be picked and gathered in another bin - even if there are infinitely many bins, and there is no "rule" for which object to pick from each. AC is not required if the number of bins is finite or if such a selection "rule" is available."
You can suck ass all you want Abs, I wont. Come on cant you accept that? Edit: you have seen the problem with this, I know you have.
If I am so wrong, EXPLAIN TO ME, in mathematical notation, why I am WRONG. Your last post says NOTHING about what I just posted, or anything I have posted earlier. Why can't you dispute them? Maybe you do not need to... because I am "too stoopid." Seriously. What is your experience with mathematics? I do not claim that you are stupid, just ignorant of mathematics. I leave you with this quote to aid in your search:
As I have probably said before my mathematics only extends to secondry school, but my understanding of infinite and finite in the realm of physics extends to university. I have also said before that I am willing to accept the establishment says 0.3... = 1/3 and I will do just that...... 0.3... =1/3 0.3... =1/3 0.3... =1/3 0.3... =1/3 See I am cured now........ now just leave me the fuck alone.
