Miss Sakura asked:

You have all been so kind about answering my many questions. Here is one that a newcomer might think is not an Aristasian question, but I am not such a newcomer now, and I am sure it has an Aristasian answer!

Many Tellurian minds – like Dostoevski – have found deep significance in the idea that parallel lines that can never meet in finite space must meet in infinity.

What does the deep traditional science of Aristasia have to say about this matter?

Raya Chancandre Aquitaine responded:

There are certain questions that Tellurian “science” cannot answer because they lie outside the boundaries that it has set for itself – just as plane geometry cannot answer questions about solids. Tellurian science restricts itself to the realm of manifestation, and within that to the material plane. Consequently there are certain questions relating to that plane itself that cannot be answered from its point of view because they entail things that lie outside it.

One such question is “Did time have a beginning?”. It is inconceivable that anything in time should be without a beginning, and yet whenever that beginning was something must have been before it to be its cause.

Similarly, has space an end? Einsteinian physics necessitates that space is finite, and yet wherever there is a wall – any kind of wall – something must be on the other side of it.

What we need to realise is that what lies outside space is not space, and what lies outside time (figuratively speaking “before” it and “after” it, because, being time-bound creatures, we can only depict non-time in terms of time) is not time.

There are other modes of manifestation than time and space that are inconceivable to us, because we are creatures of time and space. That is why our myths and creation stories depict what is outside time and space in terms of events or stories (i.e. happenings in time and space).

“Beyond” all modes of manifestation is that which is not manifestation: the Principle from which manifestation takes place: in which all manifestation lies imminent “before” time and to which it returns when time is ended. We Aristasians call Her the Dark Mother.

Since all things are one in their originating (and final) Principle, it follows that those things that are permanently and by definition separate in time and space, must be united in the Principle (or “in infinity”). Since all space resolves into the principial Point from which it emerged, so it must end back in that principial, non-spatial Point.

And therefore, naturally, parallel lines must meet.

Miss Robina Fox commented:

Does this amount to saying that all things possible and impossible can and do exist “in infinity”? That all things conceivable exist in a pre-conceived state?

I have a problem with parallel lines: obviously if they meet, they are no longer parallel; their defining relationship is destroyed. Is that the point? That there are no “relationships” outside manifestation: all things are one? Could it be more true to say that parallel lines “merge” rather than “meet”?

Tellurian science restricts itself to the realm of manifestation, and within that to the material plane.

Does this also apply to mathematics, which deals with concepts rather than “things”? After all, in nature there are no straight lines, therefore also no parallel lines. Can theoretical things be said to “exist”?

I have heard some Tellurians discussing this matter speak as though infinity were a place, a long long way away! Infinity means “endlessness”, so clearly if there is no end there is no middle either, and infinity is a state of being. So each point on a straight line would be “in infinity”.

Another thought: “do parallel lines meet…” is generally held to refer to Line A intersecting with Line B, but if you imagine parallel lines on a sphere, they would meet in the sense that Line A meets Line A and Line B meets Line B.

These are just some random thoughts and questions which popped into my head when I was reading; so don’t worry, I really don’t expect anyone to disentangle them enough to make a comprehensive reply!

Lady Aquila commented:

Our most honoured Raya has often stressed the precaution not to take things too literally, and the shallow mind could take this non-literalism itself too literally, assuming that it meant that such things as Creation myths or Aristasia Pura are “less real” than other things.

In truth, all things are but symbols of higher realities and it behoves us to recall (as Miss Fox points out) that the very parallel lines of Euclidian geometry (upon which the “scientific” understanding of the world is partly founded) are no more than mathematical abstractions and do not exist as physical entities. They are no less real for that.

We may take our geometry here very literally if we wish. If all space must ultimately converge in the unextended point from which it first originated, then parallel lines must literally meet.

But the distinction between geometry, morality and mythology is an artificial one which no people other than the Western rationalist would attempt to make.

“Parallel lines must meet in infinity”

“All beings will be saved, even to the last blade of grass”

“The lion shall lie down with the lamb”

Is not each of these statements a way of saying the same thing – and without in the least compromising the rigour of the geometrical formulation?

For, except in the artificially compartmentalised world of modern Western thought – the furthest known extenson of masculist atomisation – truth is one and can be expressed in a variety of different spheres or sciences without ever ceasing to be the same truth.

Commander Caerelinde commented:

I appreciate the reluctance of some girls to admit that parallel lines can ever meet; nonetheless it is metaphysically accurate – and logically necessary – to say that if all space converges into the extensionless Point of its origin, then all lines, including parallel ones, must meet – and that, furthermore, parallel lines will meet without ever changing their trajectory.

While it may be a temptation to suggest that these lines are “formerly parallel” – that is, that having met they are no longer parallel: since their trajectory has not changed, this is not so. It is not even true to say that the conditions of space have changed; for space has ceased to be.

In the Principial point, all things exist in potentia, including the phenomenon of parallelism; thus, while nothing of the manifest world is lost (which cannot be, since all potentialities are contained within Dea), all the contradictions and oppositions inherent in manifestation are resolved in a manner that is not comprehensible to we who are still in time and space.