1. A good way to conceive infinity is to treat it like a unit.
2. Something which is infinite has no beginning or end, it is thus impossible to be measured.
3. But a unit- infinite or not- has limits, it is thus confinable and describable in space and time.
4. A common representation of something unique- a Unit, or the One- is the circle.
5. Although the circle has no beginning or end, it has a circumference as its own limit.
6. We may even describe the whole universe as a circle whose circumference is the cosmic horizon. In that case the center will be us.
7. But by placing us at the center of the universe, this poses the following problem: Do we find ourselves inside or outside the circle?
8. As we think about it, we realize that we have the picture of a circle (be it the whole universe or any circle) in our mind, while we are considering that circle from a reference point outside the same circle. Thus we need a wider and wider circle to include our own selves.
9. Do we lose in such a way the aspect of uniqueness, while we find ourselves trapped on a continuous loop of repetition, where an infinite number of observers is needed to complete the circle?
10. Is there an infinite number of units which consist infinity, or is infinity itself a unit if we include ourselves into infinity?
11. Such a problem seems to be forever unsolvable, because there will always be something outside the ‘circle’ which we define as the ‘universe of all our knowledge.’ Therefore there will be an endless margin lying outside.
12. The problem of infinity was treated by Georg Cantor, who proposed that not only there can be an infinite number of numeric sets, but they can also have different sizes.
13. Still all such infinities- even different from each other in length or qualities- can be treated as units.
14. Even if the One does not occupy all possible space, so that there can be other Ones elsewhere, still it can represent a well-defined and self-sustained entity, with its own function and identity.
15. In fact such a unit can be the observer who observes the circle. Here however the observer projects his own entity outward in space in order to observe himself, becoming thus conscious.
16. In the latter case the problem of infinity is circumvented: The One establishes and is aware of itself, despite the everlasting problem of its own existence.
Image: [https://livingitoutdaily.wordpress.com/2013/06/17/coming-full-circle-by-madisyn-taylor/]
14-Nov-13
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