If the area of a rectangular yard is 140 square feet and its length is 20 feet. Infinity is only a CONCEPT. We have 2: grid A and grid B. (Yes, I'm sad to say that ad with the guy in the suit sitting with the kids is lying to you.) It is often denoted by the infinity symbol ∞.. No, (infinity)^2 is the same as infinity. An extension of the reals called hyperreal numbers, denoted by *R, consists of the real numbers, R, with two additional elements, -infinity, and infinity. New comments cannot be posted and votes cannot be cast. The sum of their squares is 145? There is a such thing as infinity, but the definition of infinity is "goes on forever." But overall there aren’t more numbers unless we include the irrational numbers, the “decimals that go on forever”. Top U.S. Marine under investigation for racial slur Case 1 is like this, we like/love something / someone (just 1 entity / person) forever ( given an infinite time ) Case 2 is like this, we can like/love the better and better something/someone as time goes by (also given an infinite time), without giving up the previous likes/loves. One concept of infinity that most people would have encountered in a math class is the infinity of limits. . ) Dana . 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Here’s an example: Split the integral in two. When we work with comparing infinities, we think about mapping one to the next. Is that the infinity times infinity bigger ? If you do, you arrive at all sorts of contradictions. However, in Cantor's aleph system, 2^(infinity) is larger than the original infinity in the sense that it has higher cardinality. When you're dealing with abstract concepts, it is possible to have an infinite amount of something. I am confused. Come join us! can i regard infinity times infinity as a square with endless boundaries ? Today we distinguish two basic kinds of infinities, cardinals and ordinals. EDIT: Somebody else brought up the topic of cardinality. If you're in high school, infinity isn't a number, just the idea of an uncountable amount of numbers. Looks like you're using new Reddit on an old browser. Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. So "Infinity times 2" doesn't make any sense. But in this case you're dealing with "cardinality", the concept of mapping some infinite set to some other infinite set in for example a 1-to-1 correspondence. Although i don't understand the equations there.. It depends on what you mean by "real". It's true that in higher-level mathematics you get into concepts like "countable infinity", "non-countable infinity", "aleph-0", etc. Heck, it's not even infinity times infinity. See that there is more than one kind of infinity. It can be a helpful concept in mathematics, but you can't treat "infinity" as an actual number. No, all of the expressions you described are just "equal to" infinity. What if I change the square to a rectangle which the width is 1 unit, but the length is infinite. The classic example is trying to compare the magnitude of natural numbers to the magnitude of real numbers. Intuition plays a big role in understanding concepts of infinity. I am going to prove what infinity minus infinity really equals, and I think you will be surprised by the answer. Before the 19th century no one had considered the possibility that there could be more than one infinity. The site may not work properly if you don't, If you do not update your browser, we suggest you visit, Press J to jump to the feed. Imagine there is a square and triangle which their sides are with infinite lengths, then the area of the square is bigger than the triangle ? I am art student want to know more about maths! Find its width.? If you're in college, different sets have different cardinalities. That's impossible. In this sense, the set of all hyperreal numbers *R = [-infinity,infinity]. The set of real numbers [infinite] has more elements than the set of integers [infinite]. It cannot be multiplied by two. However, to multiply these sets by a whole number doesn't change the cardinality, so 2* infinity = infinity. Only in this special construction is infinity treated "like a number." Infinity is only a CONCEPT. compute the centre of generalized linear group GL(4,F). Join Yahoo Answers and get 100 points today. Hi Dana, It depends how you define "infinity''; after all, infinity is a trickier concept than "three'' or "seventeen''. And more. Case 2, There are many (infinite) bars from lower to higher as (infinite) time goes by, one next to one. So, for Case 1, draw a graph for it, y axis is time (infinite), and x axis is quantity. In that case, two times this idea doesn't make sense. There ARE ways to make 2 infinite numbers where one is clearly bigger than the other. can i regard infinity times infinity as a square with endless boundaries ? If we use the notation a bit loosely, we could “simplify” the limit above as follows: This would suggest that the answer to the question in the title is “No”, but as will be apparent shortly, using infinity n… I know it's not very maths now, but still hope for answers ! Zero might also seem like a good choice because it looks like it’s in the middle between negative infinity and infinity. There are two to the power of infinity of those, that is, 2 x 2 x 2… multiplied infinitely many times. The argument is set-theoretic. but i found someone raised an infinity - infinity conceptual question in the link. With this definition, there is nothing (meaning: no real numbers) larger than infinity. p.s. An example of an infinite number in ${}^\ast \mathbb R$ is represented by the sequence $1,2,3,\ldots$. At first, you may think that infinity subtracted from infinity is equal to zero. Assume, the better the target is, the longer the time to be spent on the target. I think the answer depends on which math class you're in. Can science prove things that aren't repeatable? http://math.stackexchange.com/questions/1720666/concept-of-infinity-infinity-infinity. Or Case one is just a straight vertical line ? The argument is set-theoretic. Do you have a math question? You can sign in to vote the answer. So A and B are the same magnitude. When we talk of infinity; we are speaking about really very large numbers. my twitter: @tweetsauce my instagram: electricpants Sources and links to learn more below! 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). infinity is a CONCEPT not some magnitude or quantity that you can measure. Cardinality offers a way to compare different infinite sets, but it's still not treating "infinity" as a number. EDIT: I should explain what I mean by 2^(infinity) since infinity is not a number. One definition is:: The ideal point at the right end of the number line. As German mathematician Georg Cantor demonstrated in the late 19th century, there exists a variety of infinities—and some are simply larger than others. What is larger than infinity? Infinity isn't really a number, it's a concept, so it doesn't behave like a number. Infinity represents something that is boundless or endless, or else something that is larger than any real or natural number. I think I made a mistake in the question, basing on my primary thought in my mind. However, in Cantor's aleph system, 2^(infinity) is larger than the original infinity in the sense that it has higher cardinality. If you do, you arrive at all sorts of contradictions. EDIT: I should explain what I mean by 2^(infinity) since infinity is not a number. 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. What does Infinity Minus Infinity Equal? and (infinity times infinity) /2 regard as a triangle with endless boundaries also ? . Trump makes subtle tweak to his famous 2016 slogan. If you're not in high school yet, then you probably don't understand any of this. So we can imagine infinity*infinity as a 2d grid where the axis are the natural numbers. How do you think about the answers? No, (infinity)^2 is the same as infinity. Still have questions? Can you help others with their math questions? https://twitter.com/TPointMath . Sorry for the too jumping questions here. Press question mark to learn the rest of the keyboard shortcuts. The reals consist of the open set (-infinity,infinity). In geometry, you can define a plane as having infinite area. Get your answers by asking now. , 1/2, 145.9879845. . 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