Category Archives: Education

Black and White Thinking

There is no absolute black, or absolute white. Between black and white there exists a gradient scale of gray.

When we look at the duality of HOT-COLD, it is best viewed as a temperature scale which refers to temperature changing in infinitesimal gradients. At one end of this scale the temperature may be viewed as gradually getting hotter. At the other end of the same scale the temperature may be viewed as gradually getting cooler.

The mathematical duality of infinite-zero is applied to the idea od something and nothing. Infinity is not a number but it represents continuously increasing quantities that are very large. Similarly, zero is not a number but it represents continuously decreasing quantities that are very small.

The “zero” on a scale simply represent an arbitrary reference point called “origin”.

On this mathematical scale of numbers, the integers may appear to be discrete, but between two integers we have fractions, and between two fractions we have irrational numbers. So, the mathematical scale of numbers is really a continuum without any gaps even at the infinitesimal level.

In reality there is a single scale with two ends that extend endlessly on either side.

Any duality like Good-Evil, Right-Wrong, True-False, I am-I am not is, therefore, a continuum of infinitesimally varying values with no gaps in between anywhere. Dualism looks at these dualities as having a wide gap between two opposite ideas. Non-dualism looks at the two opposite ideas as just an illusion. But both these considerations are fixations in the mind.

The fixation of dualism and non-dualism are alike the result of black and white thinking. The truth is that there is a gradient scale that extends endlessly in either direction. This realization settles the confusion between dualism and non-dualism.

The black and white thinking may be looked upon as the result of fixations in the mind.


Continuing the Research

I did the experimental research mentioned in The Future of Education while participating in an ongoing G.E.D. program at a Church in New Port Richie, Florida.

I started to lecture on mathematics after organizing the materials such that they followed the logical structure of the subject (see Primary School Review). A girl who had been struggling with math for months, and always looked morose, started to look happy and eager to learn after just four such lectures. There were many such promising results. There were many comments like, “If you were my teacher in school I wouldn’t have dropped out.”

I had to end this informal experimental research because those in-charge of the program had purchased a computer-based system for G.E.D. instruction. I tried but didn’t get formal permission to continue with my educational research. After I left the program I received this touching email from a student.


 I was very upset when I walked into Class today to find out you will not be there Anymore. 

 I left Early, and I was filled with Sadness, For you have became an important part of my life. For the first time in my life, I was actually beginning to understand, and take math in, Because of you and the way you Teach. I am not the only one who is upset, and is going to miss you, But I understand. I will not Forget what you have taught me, Math and Spiritual, And I will use it as I continue my Journey. I just want to thank you for Everything. Your efforts did not go Unappreciated. Take Care, Your Little Conary :)”

Jokingly I had compared this student to a canary that was taken down in mines by miners in old times to warn them of inflammable gases. This student was simply lost where math was concerned and was the first one in the class whose expressions warned me that I should be more simple in my explanations.

I have given thought to how an SLC program could be organized. It would require Lesson Plans that follow the logical structure of a subject. The two most important subjects are Mathematics (to develop “systematic thinking”), and Language Art (to help one with “communication skills”). The fundamentals of these subject must be captured carefully in the beginning lesson plans. 

The lesson plans for Mathematics are completed, and they are available at Course on Mathematics. As the student becomes a self-learner, he simply needs good textbooks. In mathematics, I find that century old books in Arithmetic, Algebra and Geometry are much more helpful from the viewpoint of conceptual understanding. Such books are provided at the Remedial Math link.

Lesson plans for Language Arts and other subjects may be researched and developed when an SLC is established.



Reference: Course on Subject Clearing

In Subject Clearing, you visualize words and concepts in order to assimilate them in your mental matrix. You can easily visualize a concrete object like “oak tree” by looking it up on ‘google images’. You may visualize it from your experience also. A picture of a concrete object from ‘google images’ may also trigger some experience. To visualize something abstract like “love” you need to make some real-life examples from your own experience, or somebody else’s experience that you have observed or read about.

When you are visualizing a word or concept from your experience, you are also straightening out your past to some degree. A deeper visualization may lead you to meditation. That may straighten out larger chunks of your life. Whatever happens, just let it happen naturally.


Assimilation of Experience

The whole purpose of subject clearing is to convert the words and symbols of a subject into mental pixels, so that its assimilation in mental matrix may occur. This also means assimilation of all you experience relating to that subject. This is accomplished through visualization. You visualize in as many different ways and as often as necessary for you to feel comfortable. At that point you will have a clear understanding of the word or symbol and your attention will go automatically to the next thing that is needed.

Suppose you are clearing up the word ‘solicitous’. As you visualize the definitions of this word from you experience, you look at instances when you were solicitous to somebody, or when somebody was solicitous to you, or to somebody else. Suddenly, you become aware of the moment when you were very sick, and your mother took care of you. This may be a moment that is an unassimilated node buried deep in your mental matrix. It was inaccessible to you all this time; but now, because of all the subject clearing you have been doing, it has become accessible. As you recover the data of this incident it will be assimilated in the mental matrix. You will feel a tremendous sense of relief. This is what is meant by ‘assimilation of experience’.


Natural Process

This assimilation of experience is a natural process. The mind will give you information when it is ready. To safeguard the naturalness of visualization the following law is paramount.

You do not deny, avoid, resist, or suppress any thoughts, emotions, and sensations, or, otherwise, interfere with the natural activities of the mind. Things may go dangerously awry when one anxiously digs into the mind for answers.

This law applies also to the deeper process of meditation where you let the mind unwind without interference or interruption. This keeps the mind safe during deep thinking.

The process of visualization is so important that the next issue provides a practice exercise for it.


Research & Contemplation

Once you have your own glossary for a subject you may continue with your original research. This requires deep contemplation. The secret of contemplation is to find out what you are (a) denying, (b) avoiding, (c) resisting, and/or (d) suppressing. Then look at that area more closely. Most importantly it is looking at things that you are taking for granted.


Earliest Postulates

The earliest postulates in a subject determine how that subject has developed. If a new discovery is made in the area of those postulates, it may change the look of the whole subject.

Just imagine if somebody discovers the nature of electric charge or the nature of gravity. Or explains the very idea of force of attraction and repulsion differently. It will revolutionize the whole subject of Physics.

Or, just imagine if the gap between physics and metaphysics has been bridged and thought is discovered to be the lower part of the electromagnetic spectrum. It will revolutionize the whole subject of knowledge itself.

Or, just imagine if you could look at the ideas of “self” and “God” objectively. It will revolutionize the whole subject of religion.



The modus operandi of Subject Clearing is simply this:

Note any inconsistencies among the ideas and concepts and clarify them.

There are likely to be many contributors to a subject who may use different words for the same concept. This is the case with religious knowledge from different cultures. Group such words together to discover inconsistencies among them. For example, the concept of Brahma (God) in Vedic religions (Hinduism, Buddhism and Sikhism) is very different from the concept of God in Semitic religions (Judaism, Christianity and Islam). Clearing up the inconsistency between the words ‘Brahma’ and ‘God’ can be quite enlightening.

Study of inconsistencies may lead to discovery of arbitrary beliefs that were advanced in the absence of knowledge, or simple notions taken for granted. This may reveal gaps in the subject. Try to fill these gaps by further study and research.


The Subject of Self

In subject clearing, getting rid of the past misunderstandings in various subjects is just the beginning. All the work done so far simply prepares you to clear the most difficult subject of all—the subject of “Self”. This is the most intimate subject, and also the subject that is misunderstood the most.

The subject of self has been dealt by religion and psychology. These are subjects where inconsistencies abound. As you follow up these inconsistencies you encounter dubious explanations and fixed beliefs. These are indicators of gaps in general knowledge. When the exact gaps are revealed, real progress becomes possible.


The Future

Discovering gaps in subjects and filling them is the direction of evolution. Use direct experience and experimentation to make your favorite subjects as complete as possible.


Subject Glossary (old)

Please see Course on Subject Clearing

As you clear a subject, it is helpful to create your own glossary for that subject. You may have that Glossary arranged like a Key Word List or sequenced alphabetically. By putting that glossary on an Excel Worksheet, you can easily switch back and forth between these two arrangements. This will be your own glossary in which the key words are explained the way you understand them. This glossary is dynamic in the sense that you will be updating it continually as your understanding of the subject increases.


Making the Glossary

The material for the glossary may be prepared during the general study as follows.

(1) Obtain the materials as an editable document on computer.
When you have the study material in an editable format on the computer, you can divide them into manageable paragraphs in each chapter.

(2) Check the paragraph for key words/ideas.
After studying and understanding a paragraph check it to see if contains a key word for that subject and defines it in some way.

(3) Note the key word/idea.
You may note that key word and idea in a different color right after that paragraph, along with any other comment you wish to record.

(4) Summarize all your notes and comments at the end of the chapter.
This keeps your data compact and to the point.

(5) Make a final summary at the end of the study of those materials.
Make this final summary in the form of a glossary on an Excel Worksheet.

(6) Build up the glossary on that subject.
As you study more materials on that subject, follow the procedure above to keep building up the glossary.


Filling Holes

Set up a view of the glossary that arranges it from the earliest to the latest concepts in the subject. Review these concepts to see if they lead you logically from one to the next. The most important area is the fundamental concepts, where some starting postulates have to be made.

See if there are any gaping holes in the sequence of concepts.  Such a conceptual hole can hide behind an assumption. It can also be an “everybody knows” type consideration. If you find a hole, look for any research done in that area. If not, then there is an opportunity for you to make a discovery.



A unique personal glossary is a valuable asset for life. It will grow as you grow. It will come handy in many different ways. It can even become a window into yourself.