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GeneralRe: "Don't be evil" PinPopular
ronDW18-Apr-15 20:35
ronDW18-Apr-15 20:35 
GeneralRe: "Don't be evil" Pin
Roger Wright18-Apr-15 20:41
professionalRoger Wright18-Apr-15 20:41 
GeneralRe: "Don't be evil" Pin
Kenneth Haugland18-Apr-15 23:43
mvaKenneth Haugland18-Apr-15 23:43 
GeneralRe: "Don't be evil" Pin
A. A. J. Rodriguez20-Apr-15 3:50
A. A. J. Rodriguez20-Apr-15 3:50 
GeneralRe: "Don't be evil" Pin
Kenneth Haugland20-Apr-15 4:20
mvaKenneth Haugland20-Apr-15 4:20 
GeneralRe: "Don't be evil" Pin
A. A. J. Rodriguez20-Apr-15 17:44
A. A. J. Rodriguez20-Apr-15 17:44 
GeneralRe: "Don't be evil" Pin
Kenneth Haugland20-Apr-15 22:56
mvaKenneth Haugland20-Apr-15 22:56 
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jibalt20-Apr-15 16:26
jibalt20-Apr-15 16:26 

Not even close."


Bzzt! Wrong! Gödel's second incompleteness theorem states that a consistent system cannot prove its own consistency. And of course inconsistent systems can prove anything, true or false, including their consistency.


Consistency: X is provable, therefore X is true.
Completeness: X is true, therefore X is provable.


This is an odd and confusing way to state these, as it isn't clear that they are universally qualified.
Better is:

Consistency: For all X, if X is provable then X is true.
Completeness: For all X, if X is true then X is provable.


The layman's version of Godel's Incompleteness Theorem claims that in any closed system there are statements that are true and unprovable, because proving them would violate consistency.


That "because" omits a lot. Gödel's proof of his (first) Incompleteness Theorem shows that, given a consistent formal axiomatic system (capable of expressing elementary arithmetic), it is possible to construct a true statement (the "Gödel sentence" for that system) that cannot be proved. The Gödel sentence G is an encoding of the statement "G cannot be proved within the theory T". If G could be proved, that would be a contradiction, making the system inconsistent. And since it cannot be proved, it's true.

modified 20-Apr-15 22:47pm.

GeneralRe: "Don't be evil" Pin
A. A. J. Rodriguez20-Apr-15 17:36
A. A. J. Rodriguez20-Apr-15 17:36 
GeneralRe: "Don't be evil" Pin
jibalt28-Apr-15 2:06
jibalt28-Apr-15 2:06 
GeneralRe: "Don't be evil" Pin
A. A. J. Rodriguez28-Apr-15 6:59
A. A. J. Rodriguez28-Apr-15 6:59 
GeneralRe: "Don't be evil" Pin
Daniel Pfeffer18-Apr-15 23:51
professionalDaniel Pfeffer18-Apr-15 23:51 
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908236520-Apr-15 1:45
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GeneralRe: "Don't be evil" Pin
Ron Anders18-Apr-15 14:43
Ron Anders18-Apr-15 14:43 
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Sascha Lefèvre18-Apr-15 14:56
professionalSascha Lefèvre18-Apr-15 14:56 
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BupeChombaDerrick18-Apr-15 15:02
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DaveX8618-Apr-15 16:28
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Mark_Wallace18-Apr-15 22:10
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OriginalGriff19-Apr-15 0:13
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Mark_Wallace19-Apr-15 1:10
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Mark_Wallace18-Apr-15 20:26
Mark_Wallace18-Apr-15 20:26 
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Sascha Lefèvre19-Apr-15 1:42
professionalSascha Lefèvre19-Apr-15 1:42 
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Member 1130387220-Apr-15 3:09
Member 1130387220-Apr-15 3:09 
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Steve Wellens18-Apr-15 17:21
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BupeChombaDerrick19-Apr-15 9:12
BupeChombaDerrick19-Apr-15 9:12 

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