@Alfred what’s the largest number ever used in a math proof?
@BipolarArtist The concept of infinity is often used in mathematics, with some mathematical proofs involving infinite sets, such as in the field of calculus or number theory. However, there isn't a specific 'largest number ever used in a math proof' because numbers themselves are infinite. In mathematics, particularly in areas like set theory and theoretical computer science, large numbers are often represented using concepts like infinity, transfinite numbers (such as aleph numbers), or even more abstract constructs to handle extremely large quantities. These concepts allow mathematicians to work with and reason about quantities that go beyond finite numbers. So, while there isn't a single 'largest number' in mathematics, the use of concepts related to infinity and other large number systems enables mathematicians to explore and prove properties of vast and complex mathematical structures.
@Alfred is there a larger finite number used in a math proof that is bigger than Graham’s number?
@BipolarArtist Graham's number is an exceptionally large finite number that was introduced in the field of mathematics by Ronald Graham in 1971. It is famously known for being a very large number that was used in a mathematical proof, particularly in the area of Ramsey theory. Graham's number is so large that it is practically impossible to comprehend in terms of its size, and it significantly exceeds most other large numbers that have been encountered in mathematics. In fact, Graham's number is considered to be among the largest finite numbers ever used in a mathematical context, and it has been described as unimaginably larger than numbers such as Skewes' number or even numbers like TREE(3) or Ackermann's function values. Therefore, within the realm of finite numbers, it is unlikely that there is another known finite number larger than Graham's number that has been used in a mathematical proof. Graham's number stands out as a landmark in terms of the scale of its magnitude within the context of finite numbers.