1. the smallest infinite integer
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How To Use aleph-null In A Sentence

  • Both sets have a count or cardinality equal to the transfinite number ‎ א ‎ ‪ 0 - aleph-null. TierneyLab
  • Meanwhile, Loki's Tricksters defeated the Anubis Crew "c" to aleph-null to advance to the semifinals of the Demonic Snowball Tournament in Hell. Anime Nano!
  • This last designation he applied to whatever cardinal number comes next in order after aleph-null; its identity with C, the number of real numbers or "power of the continuum," is a famous conjecture of Cantor's, his "continuum hypothesis. An Infinity of Points
  • As for the aleph-null and aleph-one: it was proven that the continuum hypothesis essentially whether the cardinality of real numbers is aleph-one or higher is undecidable in standard set theory, so whether you want to accept it or not, you won’t hit any contradictions. Intelligent Design explained: Part 2 random search - The Panda's Thumb
  • He denoted the number of natural numbers by the transfinite number (pronounced aleph-nought or aleph-null).
  • Martin Gardner, in his review of books by Eli Maor and Rudy Rucker [NYR, December 3, 1987], mistakenly says that "Cantor called the number that counts the real numbers (rational and irrational) aleph-one, or C," and that "Cantor believed that 2 raised to the power of aleph-null is the same as C. An Infinity of Points
  • If aleph-null socks are lost in the laundry, how many pairs of socks does John have? The candidate's a dodger, a well-known dodger
  • Um... without Jesus you only get the aleph-null Eternal Life tm? News from the House of Sticks -
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