Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #26 20121025 19:20:15
Re: Infinity multiplied by infinityMathematics is very much like a game, you start from a few simple rules and proceed from there following the rules, All they would have to do is change some rules. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #27 20121025 19:38:01
Re: Infinity multiplied by infinityBut if infinity will be eliminate, numbers will be infinite or not? Winter is coming. #28 20121025 19:44:37
Re: Infinity multiplied by infinityNumbers would be transfinite. They argue there is no sense in having a symbol that there is no model for in the real world. The universe is finite. Numbers need not go to infinity, just to the largest number we can currently store in a computer. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #29 20121025 19:59:27
Re: Infinity multiplied by infinityIf we will find the largest number we can currently store in a computer, we can plus 1 and we will have Another largest number. Winter is coming. #30 20121025 20:02:40
Re: Infinity multiplied by infinityBut we wouldn't have purposefor that number. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #31 20121025 20:06:43
Re: Infinity multiplied by infinityProper mathematical meaning? It stands for nothing real, therefore it is an abstraction. A computer cannot hold it. It does not fit their idea. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #32 20121027 16:07:36
Re: Infinity multiplied by infinityI don't know, I myself would argue that infinity should not be taken out of mathematics, though I would agree that it can stir up a lot of confusion at times. Infinity is not that hard to understand, the majority of people who misunderstand infinity see it as a number, which is where a lot of the...confusion for many is. Life isn’t a simple Math: there are always other variables. [unknown] But Nature flies from the infinite, for the infinite is unending or imperfect, and Nature ever seeks an end. Aristotle #33 20121027 19:17:35
Re: Infinity multiplied by infinityI agree with you. I see infinity like a way to define our universe. As I said before if we find the biggest number in the world we can add one and we will have a new number, bigger than the previous number. So we can go on we will never find a final result, but we can't prove that infinity exists because we will never reach infinity, in each field of science. We can only theorize his existence, But I think that infinity is a fundamental concept for understand mathematics. Winter is coming. #34 20121027 19:18:14
Re: Infinity multiplied by infinityHi;
Nope. Personally, I think it should stay. I love watching set theorists and topologists ( algebraic and geometric ) suffer. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #35 20121027 21:05:13
Re: Infinity multiplied by infinityhi, You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #36 20121027 21:58:55
Re: Infinity multiplied by infinityYes indeedy! Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #37 20121027 22:16:19
Re: Infinity multiplied by infinity
I don't wish to be a stick in the mud, but that set of axioms is not incosistent, because you haven't defined + to be either commutative or transitive. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #38 20121027 22:36:47
Re: Infinity multiplied by infinityOh ha ha! You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #39 20121027 22:44:53
Re: Infinity multiplied by infinityWhat substitution? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #40 20121027 22:48:06
Re: Infinity multiplied by infinitya + a = b You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #41 20121027 22:50:26
Re: Infinity multiplied by infinityHi Bob; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #42 20121027 22:57:29
Re: Infinity multiplied by infinity
Quite the opposite. I am questioning its invalidity. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #43 20121028 00:23:16
Re: Infinity multiplied by infinity
So you think I've made a valid set of axioms. hhhhmmmmm! You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #44 20121028 00:57:06
Re: Infinity multiplied by infinityIt is neither valid nor invalid. It is incomplete. You haven't defined the relations + and =. Last edited by anonimnystefy (20121028 00:57:30) The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #45 20121029 10:44:12
Re: Infinity multiplied by infinityHmm, the issue is, I don't think it's impossible to...officially take it out. There will always be those who use it, and it would likely be remembered throughout history, maybe even added again, but that doesn't mean it can't be officially taken out either. It is why I argue for its case; I definitely see potential in it if it doesn't already have anything that's really necessary. But arguably to that point, I'm sure you could argue quite a lot more isn't absolutely necessary, yet without it, math would in turn be much harder. Infinity is a good idea. It may provide confusion, especially with all the branches of math using it, some in arguably contradictory ways, but without it, I feel it would do more damage then not. Life isn’t a simple Math: there are always other variables. [unknown] But Nature flies from the infinite, for the infinite is unending or imperfect, and Nature ever seeks an end. Aristotle #46 20121029 11:15:45
Re: Infinity multiplied by infinityAnd besides, the systems that differ on whether or not infinity os included differ only by an axiom. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #47 20121030 11:08:38
Re: Infinity multiplied by infinityI've worked with infinity a lot so I'll chime in. I also take issue with some of the conventional wisdom surrounding ∞ so the following is nonstandard. #48 20121030 12:34:36
Re: Infinity multiplied by infinityinfinityinfinity is not infinity. It is undefined. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #49 20121030 18:34:53
Re: Infinity multiplied by infinityI agree with anonimnystefy, infinityinfinity is undefined. Winter is coming. #50 20121030 20:29:31
Re: Infinity multiplied by infinityAnd also infinity divided by infinity = undefined. Winter is coming. 