Monthly Archives: July 2007

Fractional topological dimension

We say a topological space has topological dimension if every covering of has a refinement in which every point of occurs in at most sets in , and is the smallest such.
Any point is clearly in at least one set; it’s the other sets that [...]

Theocosmology

The brain is an amazing thing; hypnosis can block pain. There are plenty of hypnosis weight-loss clinics for helping people to lose weight and to quit smoking. As we get more detailed knowledge of the brain, it will become a trivial thing to improve one’s willpower. Instead of procrastinating, we’ll be able [...]

Negative dimensional objects and groupoid cardinality

I was thinking about some stuff involving fractals and non-positive-real dimension. It’s still a very rough idea, though.
There’s the concept of topological dimension, which is necessarily an integer. It looks like it’s typically the floor of the Minkowski dimension.
One way of talking about iterated function systems is to consider patterns of digits in -ary [...]

Theocosmology

The View from the Center of the Universe says we’re the first generation that can tell stories about the creation that might actually be true. We should take the mythological imagery we have around us and reinterpret it so that it corresponds to something real instead of something imagined, thus giving people a sence [...]

Theocosmology

Joy, glory, and knowledge
Here’s the passage that refers to element and spirit:
D&C 93:33-34 For man is spirit. The elements are eternal, and spirit and element, inseparably connected, receive a fulness of joy; and when separated, man cannot receive a fulness of joy.
In the Book of Mormon, joy is used almost interchangeably with glory. Nephi says
2 [...]