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Wow, Praxis you've been on a resurrection kick for a while here, haven't you?
Yeah - when I can, instead of starting new threads that just bring up topics which already have been brought up, I have been resurrecting some of the old threads and adding to them. Hopefully, doing so will encourage new members and visitors to this site to read what has come before, and encourage them to know it's okay to add their perspectives - even if those who first engaged the topics are not here.
In addition to adding a kind of continuity over time to the entire process, it also lets members see that some perspectives can indeed change over time about various issues as poster's personal development progresses.
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It's a demonstration of the same principle. If two or more people take the same symbol and work with it in precisely the same way, in tandem and 'cadence', both internally and externally, then yes the work is empowered by their collective efforts - this is the whole point of initiation and lodge work. It's the reason initiation is such a lengthy process. Like IA mentioned, it's the indoctrination process; it gets everyone on the same page, working the same way, having traveled the same path (as 'same' as it can be, anyway) with the same connections, interpretations, and symbols that all mean precisely the same thing to all of them. It is not enough for a group of people to just agree that this symbol is good for making sigils. It has to be much, much deeper than that.
Beyond that though aside from having internal consistency that won't confuse the unconscious, making a group work like that is really that simple - which is to say, structuring it is relatively simple. For it's purpose, the rose cross might as well be a rose star, or a rose doorknob, or anything else. As long as everyone is on the same page from the bottom up, it works the same way.
This all is a great elucidation for why Magickal Orders work well with aligning symbols and symbolized for their members.
I can see how Initiation within an Order may be the bridge which, once crossed, enables aspirants to not only learn the various symbols of their system well - but also stimulate their intent and focus enough to smith the links between symbol and symbolized, such that ritual work with them (according to the Order's practice) can be maximally magickally effective.