back to the
counterspace kind of space, that falls within this thread and was mentioned few times, another answer i just got from Nick Thomas that i find interesting follows my following question (btw, ondrej is my real name, so in the following ondrej=thigle):
...is there anything like "counter(counterspace)" or double counterspace ? i mean, if the counterspace is the space of etheric processes, is there a precise structure of experiential space that corresponds to the space of
processes one meta -level up (emotional, astral, whathaveyou) ? in other
words can the construction leading from E3 to counterspace be generalised and (re-)applied to space/counterspace duality, leading to 4-fold projective i-don't-know-what ? (i am an artist not a geometer )
also, what is between 'space' (E3 ?) and countespace (= ?) ? some kind of
inversion mechanism ? a projective hinge ?
these questions might be silly from a mathematician's point of view, but i am just a hobbyist, so please bear with me.
...
Dear ondrej,
Thank you for your questions, which are by no means silly.
I have not explored spaces "above" CS (counterspace), but I think they will have reduced dimensionality: astral 1-dimensional, ego 0-dimensional.
I don't think it will be arrived the way CS is.
Between space and CS there are _linkages_ of various kinds:
points where CS is at infinity for the elements;
bi-vectors (like cones) for light;
tri-vectors for chemistry;
tensors for life.
In each case the entity determines how space and CS interact. Inversion is involved from the start.
Re other logics, interesting. I am greatly interested in Spencer-Brown's approach (being an engineer myself) which goes beyond Boole but in a practical rather than an academic way.
...
All the best, Nick
*
In all mathematics it becomes apparent, at some stage, that we have for some time been following a rule without being consciously aware of the fact. This might be described as the use of a covert convention.
A recognisable aspect of the advancement of mathematics consists of the advancement of the consciousness of what we are doing, whereby the covert becomes overt.
Mathematics is in this respect
psychedelic.
G.Spencer-Brown_Laws of Form