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Climb the mountains and get their good tidings. Nature's peace will flow into you as sunshine flows into trees. The winds will blow their own freshness into you, and the storms their energy, while cares will drop off like autumn leaves.
John Muir
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Last edited by Suomea; 02-26-2009 at 02:42 AM.
Suomea
According to an internal image fashioned from external cues.
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3w4-1w2-5w4 sx/sp
Roughly speaking, for each theory T the corresponding Gödel sentence G asserts: "G cannot be proved within the theory T". If G were provable under T's axioms and rules of inference, then T would have a theorem, G, which effectively contradicts itself, and thus the theory T would be inconsistent. If the theory T is consistent then G cannot be proved within it. This means that G is in fact true. Thus provability-within-the-theory-T is not the same as truth; the theory T is incomplete.
It is possible to define a larger theory T' that contains the whole of T, plus G as an additional axiom. In this case, G is indeed a theorem in T' (trivially so, since it is axiomatic). However, there will be a new Gödel statement G' for T', showing that T' is incomplete also. Each theory has its own Gödel statement.
Obsequium amicos, veritas odium parit
You go to a dictionary...
Yourself:
PRONOUN:
- That one identical with you.
- Used reflexively as the direct or indirect object of a verb or as the object of a preposition: Did you buy yourself a gift?
- Used for emphasis: You yourself were certain of the facts.
- Used in an absolute construction: In office yourself, you helped push the bill along.
- Your normal or healthy condition: Are you feeling yourself again?
by what I do with what I feel
"Language is the Rubicon that divides man from beast."
By how many pullups I can do.
By the number of cheerios I can push up my nose.
Last edited by munenori2; 09-04-2008 at 11:26 PM.
Moonlight will fall
Winter will end
Harvest will come
Your heart will mend
yeah, no idea.
D-SEI9w1
This is me and my dual being scientific together