There is a such thing as infinity, but the definition of infinity is "goes on forever." my twitter: @tweetsauce my instagram: electricpants Sources and links to learn more below! I am confused. Still have questions? We have 2: grid A and grid B. An example of an infinite number in ${}^\ast \mathbb R$ is represented by the sequence $1,2,3,\ldots$. EDIT: Somebody else brought up the topic of cardinality. The sum of their squares is 145? Come join us! Press question mark to learn the rest of the keyboard shortcuts. The reals consist of the open set (-infinity,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". With limits, we can try to understand 2∞as follows: The infinity symbol is used twice here: first time to represent “as x grows”, and a second to time to represent “2xeventually permanently exceeds any specific bound”. What is larger than infinity? It's true that in higher-level mathematics you get into concepts like "countable infinity", "non-countable infinity", "aleph-0", etc. When you're dealing with abstract concepts, it is possible to have an infinite amount of something. Infinity is bigger than all the natural numbers (numbers like 1,2,3. . But overall there aren’t more numbers unless we include the irrational numbers, the “decimals that go on forever”. How do you think about the answers? New comments cannot be posted and votes cannot be cast. Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. Do you have a math question? Only in this special construction is infinity treated "like a number." Before the 19th century no one had considered the possibility that there could be more than one infinity. One definition is:: The ideal point at the right end of the number line. Today we distinguish two basic kinds of infinities, cardinals and ordinals. Infinity is NOT a number. No, all of the expressions you described are just "equal to" infinity. There are two to the power of infinity of those, that is, 2 x 2 x 2… multiplied infinitely many times. My Maths knowledge is too weak.. It can be a helpful concept in mathematics, but you can't treat "infinity" as an actual number. A subreddit for math questions. Actually, I got a primary thought which is using maths to describe a situation. Top U.S. Marine under investigation for racial slur 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. If you're not in high school yet, then you probably don't understand any of this. However, in Cantor's aleph system, 2^(infinity) is larger than the original infinity in the sense that it has higher cardinality. . ) Find its width.? Infinity represents something that is boundless or endless, or else something that is larger than any real or natural number. 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). So "Infinity times 2" doesn't make any sense. So A and B are the same magnitude. An extension of the reals called hyperreal numbers, denoted by *R, consists of the real numbers, R, with two additional elements, -infinity, and infinity. Or Case one is just a straight vertical line ? . Hi Dana, It depends how you define "infinity''; after all, infinity is a trickier concept than "three'' or "seventeen''. There is no such thing as a largest number, because you can always add 1 to that number and get something bigger. But there are ways infinity can be bigger than infinity. Infinity is only a CONCEPT. You can sign in to vote the answer. but i found someone raised an infinity - infinity conceptual question in the link. , 1/2, 145.9879845. . You lost the bet :(. There is a bar occupy 1 unit in axis x with endless height? Sorry for the too jumping questions here. No, (infinity)^2 is the same as infinity. Is that the infinity times infinity bigger ? If the area of a rectangular yard is 140 square feet and its length is 20 feet. And more. 'Tiger King' star Carole Baskin comes out as bisexual.
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