[r-t] Truth (yet another definition)
matthew__100 at hotmail.com
Thu Aug 14 23:33:00 UTC 2008
Hi all, as this issue has gone quiet (for the moment) I have pulled my ideas and opinions on truth together into something approximating a coherent set of rules for people to look at and disagree with. It is all a bit rough and will need re-wording, but i think it conveys my intentions ok, which i think is more important at this stage than the actual wording.
Firstly, I will need a reasonable difinition of both row and change but I assume that everyone here will understand what i mean without defining them at the moment. Secondly, I am assuming that the stage of a method (used here in it's broadest sense) is established as part of the definition of the method itself. I will also lift the definitions of "true" and "complete" from previous definitions (true=every row N or N+1 times, complete= every row exactly N times) [notes in square brackets]
When ringing a touch, a number of bells equal to the stage of the method being rung must be allocated to ring the method. Any other bells are non-changing bells at that point and must ring in the same position in the change unless affected by a call. [i am not certain about this last bit, i felt that something was needed to say what a non-changing bell does (or doesn't do)]
For proving truth, the stage/non-changing bells of a row are determined by the method the preceding change belongs to. [slightly confusing rule, but unambiguous once you read it i think. Also loses reversability (though retains rotatability)]
Non-changing bells can be considered to be changing bells.
A touch is true if the rows can be split into groups such that:
a. within each group, all rows have the same non-changing bells in the same positions. [and therefore the same stage as well]
b. each group is true within itself.
c. At most 1 group may be incomplete, all others must be true and complete.
Possible d. Where 2 or more groups are present, at least 1 group at the highest stage must be complete. [this limits doing silly things at higher stages but also prevents things like an extent of minor added into anything shorter than 5040 of triples]
I think that the main difference in there is the allocation of non-changing bells to individual rows, which allows you to be quite free with the groupings without allowing any nonsense in without a very careful and deliberate effort to defy the rules.
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