If the interpretation is true, according to everyones' answers, case 1 area is still the same as the accumulated bars' area ?? Heck, it's not even infinity times infinity. The sum of their squares is 145? Here’s an example: Split the integral in two. Infinity is only a CONCEPT. Find its width.? The set of real numbers [infinite] has more elements than the set of integers [infinite]. The classic example is trying to compare the magnitude of natural numbers to the magnitude of real numbers. But overall there aren’t more numbers unless we include the irrational numbers, the “decimals that go on forever”. At first, you may think that infinity subtracted from infinity is equal to zero. can i regard infinity times infinity as a square with endless boundaries ? I think I made a mistake in the question, basing on my primary thought in my mind. There is no such thing as a largest number, because you can always add 1 to that number and get something bigger. http://math.stackexchange.com/questions/1720666/concept-of-infinity-infinity-infinity. 'Tiger King' star Carole Baskin comes out as bisexual. So we can imagine infinity*infinity as a 2d grid where the axis are the natural numbers. can i regard infinity times infinity as a square with endless boundaries ? In terms of everything you will likely see unless you decide to study mathematics in grad school, infinity is not a member of the real numbers, so 2 * Infinity is not a valid operation since * works only for real numbers in that definition. Infinity means a number still larger than whatever we can think of. But that’s an illusion because there is no middle between negative infinity and infinity, or you could say that any point on the x-axis is the middle. There is a such thing as infinity, but the definition of infinity is "goes on forever." What if I change the square to a rectangle which the width is 1 unit, but the length is infinite. and all the real numbers (numbers like 1.23456436435. . So "Infinity times 2" doesn't make any sense. Press question mark to learn the rest of the keyboard shortcuts. However, to multiply these sets by a whole number doesn't change the cardinality, so 2* infinity = infinity. There ARE ways to make 2 infinite numbers where one is clearly bigger than the other. You can sign in to vote the answer. No, (infinity)^2 is the same as infinity. If you're doing this (NB: the usual terms there are "plane" and "half-plane), then these areas are identical (in the sense that both have measure equal to the measure-theoretic infinity, and both have the same cardinality). The argument is set-theoretic. Now we take one of these grids, and throw away every other row (dividing by 2). Can you help others with their math questions? How do you think about the answers? However, in Cantor's aleph system, 2^(infinity) is larger than the original infinity in the sense that it has higher cardinality. We have 2: grid A and grid B. The mathematician Georg Cantor proved that this is bigger than infinity, whatever kind of infinity you start with. Infinity is bigger than all the natural numbers (numbers like 1,2,3. . So A and B are the same magnitude. I am art student want to know more about maths! If not, then 2 times something is twice as much, and therefore more than regular infinity. Get your answers by asking now. No, (infinity)^2 is the same as infinity. Now if can make a mapping from every item in grid A to an associated item in grid B, then they are the same "size". Before the 19th century no one had considered the possibility that there could be more than one infinity. Today we distinguish two basic kinds of infinities, cardinals and ordinals. infinity is a CONCEPT not some magnitude or quantity that you can measure. my twitter: @tweetsauce my instagram: electricpants Sources and links to learn more below! An extension of the reals called hyperreal numbers, denoted by *R, consists of the real numbers, R, with two additional elements, -infinity, and infinity. If you do, you arrive at all sorts of contradictions. . https://twitter.com/TPointMath It is often denoted by the infinity symbol ∞..

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