Error Detection .

Error Detection .
Andre Willers .
27 Jul 2010

"I beseech you , in the bowels of Christ , think it possible that you may be mistaken ."
Oliver Cromwell , 3 Aug 1650 AD .

Safety :
These following algorithms are unsafe at any level .
Pockets of stable stochastic Beth(n) resonances in a space-time system
(where defined ) are possible .

Synopsis :
Unknown.

Discussion :
Error in Aristotelian systems are described as a logical contradiction . This is , however , merely taken as the generation of a new dimension (cf i = (-1)^(1/2) , irrational numbers , transcendental numbers , etc ) .
This is possible because of the fact that A + (~A) < Universum , as previously discussed .

Minimum Necessary Sufficient number of tests :
See http://andreswhy.blogspot.com "The inside of zero" , "Tarot" et al .
You actually need only 27 tests , which , if correctly formulated , can show whether a system is self-consistent for any particular ArithI and ArithII .
This is a Pocket . Inside this pocket we can talk with some confidence whether things remain coherent . This degree of confidence can be denoted by Beth(x) . Whether x is infinitesimally smooth or quantal depends on local conditions .

Time:
Note that in http://andreswhy.blogspot.com "The inside of zero" , there is only one term with degree one that can construe the Diophantine equations to 26 dimensions . This can be interpreted as a time-dimension . Of course , more time dimensions are possible , but they will be curled up . It seems there is only one general time-dimension in any possible universe (pocket) , but sub-times are possible , as well as varying rates between pockets (universes) .

Are we in a Simulation?
A perennial question . Now at least you have some basis of formulating some experiments . You only need 27 experiments .
Good luck (Beth(x-> J ) )

Complexification:
Order out of Randomness . Inherent in defining things as separate .
There is a netto probability osmotic pressure between Beth(n+1) -> Beth(n) . Things get more complicated if they are defined .
Delicious !!

And if you add the "Non-definition" of something , the complexity is enhanced by an order of 2^N , where N is the thingies in the multiverse .

General testing :
Can the system be tested without running the whole system ?
This translates into a into a summation of all the possible ways the combinations of a delineated system can fail . This is 2^27 ~ 1.34x10^8 .
The important point is that it is finite .
You can have a finite battery of tests for each pocket .The number of pockets in 26 dimensions are finite , but not in 27 dimensions .
See Aneuploidy in http://andreswhy.blogspot.com "Prodigies , Primitives and Cancers" 10/5/2007 .

And so it goes .

Dimensionally yours

Andre