February 3rd Video Conference Recording Is Available

[joseph simpson]

Team:

Today's video recording is available at:

https://www.youtube.com/edit?o=U&video_id=B9izY8nnDS4

The next SMP video conference is scheduled for:

Saturday February, 17th at 9 AM Pacific.

Kevin Dye will lead a discussion on the natural language term "influence."

Take care, be good to yourself and have fun,

Joe

--

Joe Simpson

“Reasonable people adapt themselves to the world. 

Unreasonable people attempt to adapt the world to themselves. 

All progress, therefore, depends on unreasonable people.”

George Bernard Shaw

[joseph simpson]

Team:

Some more detailed information associated with orders and category theory.

From the book, "Category Theory for the Sciences," by David I. Spivak, on page 169 the concepts of preorder and partial order are addressed.

From page 169:

"Every element is always in its own clique, so if X is a partial order with at least one element, then it has a clique."

This approach defines a partial order that contains one element as well as defining the concept of a clique.

We require any order to have at least two elements.

One object can not be ordered.

In short, we looked at category theory and it seems to have the same issues as other types of set theory based systems, when it comes to applying orders in a real world situation.

These issues motivated us to define a new type or order, called SIM order.

The general requirements for a SIM Order were detailed in:

https://www.researchgate.net/publication/322820333_System_Ordering_Software

The SIM Order concept will be developed over a period of time.

The primary focus of the SIM Order concept is the refinement of abstract mathematical concepts that preserve their computational value as well as aligns these concepts with real world natural language constraints.

In the real world you can not order one object.

In the real world events do not precede themselves.

These modifications are necessary to create the proper correspondence between abstract mathematical concepts and the real world constraints associated with creating large scale systems.

In addition, the concept of a clique includes a binary relation (<=).

It is difficult to determine how you apply a binary relationship to a single object, unless it is the equivalence relation, which does not create an order.

So, a quick glance at Category Theory, indicated that the definition of a new type of order would be necessary to reduce uncertainty and complexity.

Take care, be good to yourself and have fun,

Joe