On Infinities

Cantor's trans-infinite infinities indicate ordinal form in abstract relations, yet it is not necessary that there is a correspondence to anything actual from infinite series. A circle line may be subdivided infinitely forever with smaller and smaller numbers at each point on the line. Reality may be qualitatively transcendent over infinities though, and the evident Universe is simply a project of an indefinable teleology phenomenalized.

Infinities of the abstract sort often are infinite in one direction with ordinal structure (regular intervals or spacing/quantity) yet not in all dimensions. The circle may be infinitely reduced yet not expanded in the same area without fundamental change of investment.

The Universe is sometimes thought to have expanded from a smaller area. Obviously it is logically easier to imagine the Universe shrinking to an infinitely small point.

If the Universe may be regarded theoretically as a circular or spherical section of a two dimensional or eleven dimensional membrane, it is fundamental to imagine reducing that portion or area to a small point before releasing it to expand and resume its normal context state over time.