baking the infinite

#### We seem to be discussing these six flavors of Infiinity

----------------------------

- infinity as the limit (or bounds) of real magnitude: ∞
- two signed infinities of affine extension: -∞, +∞
- projective infinity, complex infinity : ⧞. ⧝
- small "natural-ly" infinites: ℵ₀, ℵ₁

_notes on symbol choices_

projective infinity is pointlike yet approached from both orientations along a "circle"
the choice of symbol ` ⧞ ` is of a smbol for infinity where orientation mirrors

The symbol used for ComplexInfinity resembles they way ComplexInfinity often is drawn.
. . . . . . . . . . . ⧝
. . . . . . . . . . . 

The symbol for NotANumber ( ꝋ ) is of the form assigned to symbolize the empty set ( ∅ ).
Also, it may be read like a sign saying "not even zero".

--------

It is good practice to have keyboard-easy names for exported unicode symbolics.
(exports are separated conceptually, for ease of presentation)

```
export NegativeInfinity, ( -∞ ), PositiveInfinity, (+∞ ),
export RealInfinity, ( s∞ ),
export ProjectiveInfinity, ( ⧞ ), ComplexInfinity, ( ⧝ )
export Aleph0, ( ℵ₀ ), Aleph1, ( ℵ₁ )
export NotANumber, ( ꝋ )
```

#### one thought

```
abstract type AbstractInfinity end

abstract type InfinityOrder <: AbstractInfinity end
struct Aleph0 <: InfinityOrder end
struct Aleph1 <: InfinityOrder end

abstract type InfiniteMagnitude <: AbstractInfinity end
struct RealInfinity <: InfiniteMagnitude end
struct ProjectiveInfinity <: InfiniteMagnitude end

abstract OrientedInfinity <: AbstractInfinity end
struct NegativeInfinity <: OrientedInfinity end
struct PositiveInfinity <: OrientedInfinity end
```