Strongly Inaccessible Cardinals

Some articles on strongly inaccessible cardinals, cardinal, strongly inaccessible cardinal, strongly inaccessible:

Grothendieck Universes and Inaccessible Cardinals
... Grothendieck universes are equivalent to strongly inaccessible cardinals ... (C) For each cardinal κ, there is a strongly inaccessible cardinal λ which is strictly larger than κ ... Then for any universe U, c(U) is strongly inaccessible It is a strong limit cardinal because the power set of any element of U is an element of U ...

Famous quotes containing the words strongly and/or inaccessible:

    The fact is popular art dates. It grows quaint. How many people feel strongly about Gilbert and Sullivan today compared to those who felt strongly in 1890?
    Stephen Sondheim (b. 1930)

    Both gossip and joking are intrinsically valuable activities. Both are essentially social activities that strengthen interpersonal bonds—we do not tell jokes and gossip to ourselves. As popular activities that evade social restrictions, they often refer to topics that are inaccessible to serious public discussion. Gossip and joking often appear together: when we gossip we usually tell jokes and when we are joking we often gossip as well.
    Aaron Ben-Ze’Ev, Israeli philosopher. “The Vindication of Gossip,” Good Gossip, University Press of Kansas (1994)