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Names of larger numbers, however, have a tenuous, artificial existence, rarely found outside definitions, lists, and discussions of how large numbers are named. Even well-established names like sextillion are rarely used, since in the context of science, including astronomy, where such large numbers often occur, they are nearly always written ...
The ultimate in large numbers was, until recently, the concept of infinity, a number defined by being greater than any finite number, and used in the mathematical theory of limits. However, since the 19th century, mathematicians have studied transfinite numbers , numbers which are not only greater than any finite number, but also, from the ...
Indian numbering system – Indian convention of naming large numbers; Infinity – Mathematical concept; Law of large numbers – Averages of repeated trials converge to the expected value; List of arbitrary-precision arithmetic software; Long and short scales – Two meanings of "billion" and "trillion" Myriad – Order of magnitude name for ...
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
A transfinite cardinal number is used to describe the size of an infinitely large set, [2] while a transfinite ordinal is used to describe the location within an infinitely large set that is ordered. [9] [failed verification] The most notable ordinal and cardinal numbers are, respectively:
This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes.
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
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 ...