STEM
This same concept is true for infinity times a number; the sets go on forever no matter what you times infinity by and, so the terms in each set will always be able to line up with the original set of infinity. From this one-to-one correlation we can deduce that whatever you do to infinity it will still be the same size, so surely nothing can be bigger? However, even though infinity is the largest possible number, this is not to say that all infinities are equal in size. In the late 19th century Georg Cantor discovered that there are different sizes of infinity when looking at the one-to-one correlation between natural and real numbers. Natural numbers are positive integers and real numbers are all numbers (excluding imaginary numbers). This means that every decimal and fraction is a real number but not a natural number. This is important because if we look at the first two natural numbers, one and two, we can say that there is an infinite value of real numbers in
between. Therefore, the set of real numbers must be bigger, as the total amount of natural numbers is the same value of real numbers between one and two. Seeing as real numbers are not bound to two and instead go on forever, we can conclude that the set of real numbers must be bigger than the set of natural numbers even though they are both ‘infinity’. So, to answer the question is there anything bigger than infinity; it depends. It depends what infinity we are talking about. If we are talking about the ‘infinity’ we would instinctively think of in which we just keep adding one, then there is a number far greater. This greater number is still called infinity however is unfathomably bigger. This greater, larger infinity we can see when looking at the set of real numbers is the biggest of the two sizes on infinity we know of. However, who’s to say, there may yet be an infinity even larger that we have not discovered yet.
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