This is a good question. The obvious answer would be to disbelieve all non members of the set and to believe all members. Rather, I would define this as believing all members of the subset, but saying exactly nothing about whether or not any beliefs outside the subset are believed in. Dually, the 'disbelief' function works the same way, saying nothing about beliefs outside the subset.
One interpretation might be that I may have the occasional belief here and there, but this set is not a subset of the beliefs of any religion I have come across. Again, dually, I may have a set of disbeliefs, but no subset that overlaps an entire well-defined religion.
PS: I read your LJ and some of your web site and found it interesting. I particularly liked your Pagan hierarchy. :) I have friended you -- I hope you don't mind!
PPS: If you have understood the intent of my 'religion definition', it should be clear enough that I am not against any religion, nor am I a supporter of any either. I am interested in religion generally, however, without restriction to the mainstream.
No -- I both don't believe and don't disbelieve the empty faith. (B[f] doesn't equal not D[f], so this isn't equivalent to the way you put it). Which is safe enough, I think.
Hmmm... the idea of an empty faith is interesting, though, all the same...
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One interpretation might be that I may have the occasional belief here and there, but this set is not a subset of the beliefs of any religion I have come across. Again, dually, I may have a set of disbeliefs, but no subset that overlaps an entire well-defined religion.
PS: I read your LJ and some of your web site and found it interesting. I particularly liked your Pagan hierarchy. :) I have friended you -- I hope you don't mind!
PPS: If you have understood the intent of my 'religion definition', it should be clear enough that I am not against any religion, nor am I a supporter of any either. I am interested in religion generally, however, without restriction to the mainstream.
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Hmmm... the idea of an empty faith is interesting, though, all the same...
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