Some articles on strongly inaccessible cardinals, cardinal, strongly inaccessible cardinal, strongly inaccessible:
... Loosely speaking, this is because 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 and every element of U is a subset of U ...
Famous quotes containing the words cardinal, strongly and/or inaccessible:
“Time and I against any two.”
Quoted by Cardinal Mazarin during the minority of Louis XIV.
“The disabusing a man strongly possessed with an opinion of his own worth is the very same ill office that was done to the fool at Athens, who fancied all the ships that came into the harbor were his own.”
—François, Duc De La Rochefoucauld (16131680)
“Both gossip and joking are intrinsically valuable activities. Both are essentially social activities that strengthen interpersonal bondswe 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-ZeEv, Israeli philosopher. The Vindication of Gossip, Good Gossip, University Press of Kansas (1994)