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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 a googol symbols and as its only free variable such that: (a) there is a variable assignment assigning to such that ([()],), and (b) for any variable ...
Rayo's number is a large number named after Agustín Rayo which has been claimed to be the largest named number. It was originally defined in a "big number duel" at MIT on 26 January 2007. Standardized system of writing
The Indian numbering system uses the named numbers common between the long and short scales up to ten thousand. For larger values, it includes named numbers at each multiple of 100; including lakh (10 5) and crore (10 7). [1] English also has words, such as zillion, that are used informally to mean large but unspecified amounts.
For more about modern usage for large numbers, see Large numbers. To handle these numbers, new notations are created and used. There is a large community of mathematicians dedicated to naming large numbers. Rayo's number has been claimed to be the largest named number. [5]
In both scales, names are given to orders of magnitude at increments of 1000. Both systems use the same names for magnitudes less than 10 9. Differences arise from the use of identical names for larger magnitudes. For the same magnitude name (n-illion), the value is 10 3n+3 in the short scale but 10 6n in the long scale for positive integers n ...
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Widespread sounding of the word occurs through the name of the company Google, with the name "Google" being an accidental misspelling of "googol" by the company's founders, [9] which was picked to signify that the search engine was intended to provide large quantities of information. [10]
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