Russell's Attic

Computing Dictionary

Russell's Attic definition

An imaginary room containing countably many pairs of shoes (i.e. a pair for each natural number), and countably many pairs of socks. How many shoes are there? Answer: countably many (map the left shoes to even numbers and the right shoes to odd numbers, say). How many socks are there? Also countably many, we want to say, but we can't prove it without the Axiom of Choice, because in each pair, the socks are indistinguishable (there's no such thing as a left sock). Although for any single pair it is easy to select one, we cannot specify a general method for doing this.

The Free On-line Dictionary of Computing, © Denis Howe 2010
Cite This Source
Previous Definition: russell viper
Next Definition: russell's body
Words Near: Russell's Attic
More from
Synonyms and Antonyms for Russell's Attic
More from
Search for articles containing Russell's Attic
More from Translator Word FAQs presents 366 FAQs, incorporating some of the frequently asked questions from the past with newer queries.

Copyright © 2014, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature