more running, less eating


Video clip of a guy driving off an overpass during a police chase HERE
Check out THIS ominous vague fear-mongering from our new Attorney General Gonzales. Oh yeah, and don't forget to renew the Patriot Act or we're all dead.
Rent sucks when I pay for this apartment by myself. Hopefully Fabrizio will stay with me until my lease is up and we find a new place. Josh twice mentioned that all of us could get a house together...

A cardinal κ is subtle iff for every closed and unbounded C ⊂ κ and for every sequence A of length κ for which element number δ (for an arbirary δ), Aδ ⊂ δ there are α, β belonging to C such that Aα=Aβ∩α.
Theorem: There is a subtle cardinal ≤κ iff every transitive set S of cardinality κ contains x and y such that x is a proper subset of y and x ≠ Ø and x ≠ {Ø}. An infinite ordinal κ is subtle iff for every λ<κ, every transitive set S of cardinality κ includes a chain (under inclusion) of order type λ.





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