Subject Clearing (old-2)

Math

Please see Course on Subject Clearing

When studying a subject one should be able to detect the hidden assumptions and distortions present in it. This is especially necessary when one is studying the fundamentals of a subject. Such distortions can be very pervasive. They may even enter the definitions of words provided in dictionaries.

The following procedure may help one detect and clear assumptions and distortions present in a subject being studied.

  1. Make a list of key words that describe the concepts in that subject.

    Skim through the chapter that you are going to study, and make a list of key words that introduce new concepts in that chapter. Put that list on an Excel worksheet, so you can rearrange their order as necessary. You may add key words from previous chapters, or from other books, that you have studied. This list may grow as your studies get deeper into the subject.

  2. Write down the basic concept associated with the word.

    In a dictionary you may find the broad concept listed under ‘history’, ‘origin’, or ‘derivation’ of the word. This may appear either before, or after the definitions. For example, when you look up ARITHMETIC, you may find the underlying concept expressed as “skill with numbers.”

    Look for broad concept only. Sometimes you may have to piece together the concept from the derivations given. Ignore most other details. Once you have grasped the broad concept note it down next to the word on your Excel worksheet.

  3. Gradually build upon each concept for that subject.

    Study the materials in the chapter one paragraph at a time. Summarize and reduce each paragraph to its main thought before proceeding to the next. This may provide you with additional conceptual understanding. If so, then note it down next to the appropriate word on your Excel worksheet.

    If the paragraph is difficult to reduce to its main thought then look for words in that paragraph that may not have been understood fully. If the difficulty with a paragraph still persists then note down the confusion on your worksheet with the location. It may get clarified by something you read later.

    Since the required information may easily be accessed these days, the purpose of study is not to memorize but to sort out relevant data.

    The true purpose of study is to resolve inconsistencies (things that do not make sense) as you come across them. This develops a clarity of mind and the ability to think fast on your feet.

  4. Arrange the key words with their concepts in proper sequence.

    The key words should be listed starting with those that express the fundamental concepts. These are followed by those key words, which express derived concepts.

    Start by arranging the key words in the sequence they appear in the chapter. As you gain familiarity, rearrange the key words in the sequence that concepts seem to have evolved. Move the words expressing more fundamental concepts toward the top. Move the words expressing derived concepts toward the bottom.

    A “Priority” column may be added to your Excel worksheet. You may place numbers in that column to readjust the sequence, and then simply sort the list by that column.

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

    As the study of the subject progresses and better understanding comes about, the list of key words may be continually rearranged to achieve consistency among the concepts.

    If you notice any inconsistencies then this motivates research deeper into the subject. First review your materials to clarify any inconsistency. If it does not clarify easily then note it down on the worksheet and research through other materials in the library or on Internet.

  6. Clarify the fundamentals of the subject as a priority.

    The fundamentals concepts of a subject must be consistent. Any inconsistency at the fundamental level must be handled as a priority, since on this depends the consistency of later concepts in that subject.

    Look closely at the inconsistencies starting from the top. If an inconsistency does not resolve then look for underlying assumptions. Arbitrary assumptions may reveal gaps in the subject itself.

    There are likely to be many contributors to a subject. For example, many different cultures have contributed to the broad subject of religious knowledge. You may find similar concepts referred to by different words in different languages. Note down all those words and differences among the concepts. Seek consistency among these concepts and develop your own understanding.

  7. Make the subject as complete as possible.

    There are many examples in the subject of religion where gaps in knowledge are hidden under assumptions and dubious explanations. This may be the case with any subject where inconsistencies abound.

    When such assumptions and dubious explanations are ferreted out, then the gaps in knowledge become obvious.Real progress becomes possible now.

    Fill gaps in the subject with wider research. Make the subject as complete and consistent as possible through experimentation and direct experience.

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Thus, subject clearing may occur.
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