Universe consists of all objects whether they are concrete or abstract.
Concrete objects are those that are sensed through eye, ear, nose, tongue and body. These objects may be broken down into compounds, molecules, atoms, and fundamental particles.
Abstract objects are those that are sensed through the mind. These objects may be broken down into language, symbols, thoughts, emotions, and impulses.
Anything that one can be aware of, whether real, unreal, imagined, assumed or speculated is also an object that exists in this universe.
KHTK Axiom #4: Objects are ‘systems of motion’ characterized by space.
With two objects in relative motion there is a single dimension along the line joining them. There is awareness of one-dimensional space.
With three objects in relative motion, there is a planar region generated by the lines joining them. This region requires a minimum of two dimensions to describe it fully. There is awareness of two-dimensional space.
With four objects in relative motion, there is a bulk of region generated by the lines joining them. This region requires a minimum of three dimensions to describe it fully. There is awareness of three-dimensional space.
With more than four objects in relative motion, the lines joining them generate more complex characteristics of the system that are not necessarily geometric. These characteristics are as complex as color and temperature. This leads to awareness of multi-dimensional space.
A multi-dimensional space acquires all those characteristics that are used to identify a system of motion. We become aware of that system of motion as an object.
This is a picture taken at the Math Club that I ran for 15 years
I have been tutoring math for the last fifty years on and off. I have written my own math materials. All of that and other reference material, which I like, is available on this blog. See Course in Mathematics.
I have decided to tutor mathematics for free as I am now approaching retirement. At the moment I am consulting part time as an engineer, I shall be tutoring at the locations I visit frequently. These locations are the local Library, the local Starbucks, and the local Barnes & Nobles.
The reasoning behind free math tutoring is the same as the reasoning that underlies the research I have been doing into KHTK (mindfulness).
I feel secure to the degree the environment around me is capable of mindfulness.The knowledge of math and science definitely contributes to mindfulness.
Today, I shall be conducting my first free math tutoring session under this program. How many students I am able to tutor shall depend on the time available to me. In the future, I may extend this offer on Skype.
Normally, I shall be tutoring a student once a week for three free sessions. After three sessions I may continue with the same student, or move to another student. This offer is based on first come first served.
This is an ambitious experiment. This may include tutoring some students to become math tutors. I am excitedly looking forward to its results.