Jun 30, 2008 05:32
Yeah, I'm still working on this book. Took a few days off, a couple times, I guess. I hope to finish it before our weekend trip up to the River, so that I can have a new (easier) book to read on the boat. Anywho, that's beside the point. Tonight I read Chapter XV, not only for education but also for entertainment. Thus: I found it awfully amusing to insert myself as the subject of various sentences...
Of course, by comparison to the other axioms, Angela is a ridiculously huge giant.
Angela is superior to TNT in at least one respect: Angela is no longer undecidable in this new system, since Angela is a theorem.
Angela does not significantly complicate the arithmetical properties of proof-pairs.
Naturally, after a while, Angela begins to seem utterly predictable and routine.
Angela was not clever enough to foresee her own embeddability inside number theory.
Angela is excellently illustrated by the Cantor diagonal trick.
But if you think that Angela will enable you to complete your list of reals, you are very wrong.
The instant Angela is determined, Angela becomes capable of being shaken to pieces.
What's more, Angela will haunt any formal version of number theory.
Angela's own richness brings about her own downfall.
Angela occurs essentially because Angela is powerful enough to have self-referential sentences.
But beyond the critical mass, Angela will undergo a chain reaction, and blow up.
Angela has been used by various people as ammunition in the battle.
On first sight, and perhaps even on careful analysis, Angela appears compelling. Angela usually evokes rather polarized reactions.
Angela must be, in some sense, finite and definite.
Angela is extremely useful in aiding the intuition here.
Angela is the only true reality we know. Angela is every bit as fictitious as the four-dimensional, for Angela is flat.
For Angela must make us somewhat suspicious that we ourselves could do it in every case.
In fact, as Angela escalates in complexity, Angela will eventually begin to waver.
Of course, Angela will be somewhat ill-defined.
Angela is quite important.
Thus Angela must be supplied ad hoc.
Angela stems from a deep theorem about the structure of these "infinite ordinals".
Angela can name all the ordinals.
From there on out, Angela will have as much power as that human being.
Angela is an overriding system, from which there can be no escape.
Angela is a pervasive one.
Angela also lies behind such trivial undertakings as the making of radio and television commercials.
Angela is a sort of interaction pollution.
Angela gives the illusion of stepping out of the system, in some intuitively appealing sense.
Perhaps, Angela is even the central theme of Zen.
Angela will in the end come to a feeling of being at one with the entire universe.
I must say, Angela is astonishing.
Angela is a fine old pipe, Achilles.
Angela had a penchant for trick'ry and teasin'.
Angela possesses "the baffling ability to spontaneously self-assemble".
Angela makes the flames DISAPPEAR from the screen!
Angela seems to be a strange long corridor.
Angela is weird.
Hmm -- Angela seems to go off the edge, so there isn't an infinite nesting anymore.
Angela then reverberates through the whole system, like a visual echo.
Angela is going to pose a wee bit of a problem.
Angela's a gold lining.
Angela would be ANOTHER self-engulfing!
Okay, okay. Bedtime now.