A circle is a 2D projection of a 1D line that allows for additional dimensions. While often seen as illogical, circular reasoning can be valid if its circular nature is recognized and it doesn't continue indefinitely. Ultimately, circles represent a way to simplify and make binary distinctions about the universe from a framed perspective.

1. What is a Circle?
By: Aleksey Gladkov

2. Simple At First Glance
Circles are actually
figures of near infinite
complexity, which can
explain the very
foundtions of our
mathematical system.

3. Projection
A circle is actually a 2
dimensional
projection of a 1
dimensional object, a
line.
The nice thing is, you
get 2 more
dimensions for free.

4. 3 Dimensions
In higher dimensions
choice starts to
become a factor.
Do you project into 3d
space as a sphere or
a spiral?
Both are valid circular
2d objects.

5. 4 Dimensions
Further choice is
added in time, as to
how you decide to
draw your 1,2, or 3
dimensional object.
You start with a point,
and it is all choice
from there.

6. Rationality
So called circular logic is often frouned upon as
fallacious, but I see it as logic that can support
itself, provided you can spot its circular nature and
stop in the right time.

7. Number Theory
We can now tackle the true crux of the matter,
prime number theory. I postulate that there are
only 2 real prime numbers, 0 and 1,since all other
numbers can be expressed rationally by simple
inversion as a fraction or as a more complex
function of these two, and all mathematical
systems are based in binary ideals, the idea that
nothing and something are different, that the
difference is real and measurable, and most of all
significant.

8. The Look of Things
We don't have to stop there though. We can
use our understanding of dimensionality to
further collapse the problem into a single
solution. Both 0 and 1 can be the same object
viewed at different times, from different sides,
and thus mathematics resolves into a mirror of
reality, a window back into our own world, just a
little different due to temporary perspective shift
(relativity), and counting higher than one (or
trying to solve pi) becomes running around in a
circle wondering why it takes so long to reach
the end.

9. Circular Logic
The most important thing about measuring
circles is knowing when to stop.
At this point the argument loops back around to
the nature of circles, and we know it is time to
stop having it.
Thank You Very Much
Best Regards
projectLeX

10. So what is a circle?
It is a way to binarize the universe with relativity
by setting up a frame of reference.