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The Rayo function of a natural number , notated as (), is the smallest number bigger than every finite number with the following property: there is a formula () in the language of first-order set-theory (as presented in the definition of ) with less than symbols and as its only free variable such that: (a) there is a variable assignment assigning to such that ([()],), and (b) for any variable ...
Graham's number was used by Graham in conversations with popular science writer Martin Gardner as a simplified explanation of the upper bounds of the problem he was working on. In 1977, Gardner described the number in Scientific American, introducing it to the general public. At the time of its introduction, it was the largest specific positive ...
It can be thought of as a number that is bigger than any other conceivable or inconceivable quantity, either finite or transfinite. Cantor linked the absolute infinite with God , [ 1 ] [ 2 ] : 175 [ 3 ] : 556 and believed that it had various mathematical properties, including the reflection principle : every property of the absolute infinite is ...
The number of neuronal connections in the human brain (estimated at 10 14), or 100 trillion; The Avogadro constant is the number of "elementary entities" (usually atoms or molecules) in one mole; the number of atoms in 12 grams of carbon-12 – approximately 6.022 × 10 23, or 602.2 sextillion.
Pages in category "Large numbers" The following 25 pages are in this category, out of 25 total. This list may not reflect recent changes. ...
In other words, the n th digit of this number is 1 only if n is one of the numbers 1! = 1, 2! = 2, 3! = 6, 4! = 24, etc. Liouville showed that this number belongs to a class of transcendental numbers that can be more closely approximated by rational numbers than can any irrational algebraic number, and this class of numbers is called the ...
The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.
Polly Shulman, "Infinity Plus One, and Other Surreal Numbers", Discover, December 1995. A detailed treatment of surreal numbers: Norman L. Alling, Foundations of Analysis over Surreal Number Fields, 1987, ISBN 0-444-70226-1.