There are pitfalls in mathematics due to HOMONYMS of which not many people are aware. These pitfalls bar the progress of a student completely.
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EXAMPLE 1: ‘5’ is a number. ‘5’ is also a digit. The truth is that ‘5’ is a single-digit number just like ‘I’ is a single-letter word. A number is like a word, whereas, a digit is like a letter. The lack of clear differentiation between a digit and a number creates trouble.
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EXAMPLE 2: The “–” symbol is used for subtraction. The “–” symbol is also used for negative numbers. This creates a great confusion. Most people are still in that confusion. The fact is that a negative number is obtained when a number is subtracted from zero:
–5 = 0 – 5
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EXAMPLE 3: The symbol, such as, “x” in Algebra is used for an unknown, where it can have only one value as in x + 3 = 7. The symbol “x” is also used for a variable, where it can have many different values as in x + y = 7.
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By the time people get to High School they are so lost where math is concerned that they are not even aware of the above confusion. They just feel that math is difficult to understand.
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Here is the updated version of this post: What is KHTK?
Skip the following version.
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The acronym KHTK stands for “Knowing how to Know.” It just happened to be that way without any thought. The organization of basic knowledge in the subject of Scientology (a word, which means “knowing how to know”) is definitely impressive, so that might have something to do with it.
KHTK is an effort to get the available spiritual technology applied at the grass roots level. The model for this is the same as used by Buddha 2600 years ago.
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KHTK is an evolving subject. The following may be said about KHTK at this stage of its development:
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KHTK starts with mindfulness as practiced in Buddhism. Mindfulness provides the discipline for looking and contemplation. Therefore, the first action of KHTK was to develop the The 12 Aspects of Mindfulness. One may train oneself on mindfulness by following the exercises documented in Training in Mindfulness.
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KHTK is designed for self-application at the grass roots level using the model provided by Buddha. Thus, KHTK is freely available on this blog to anybody who is interested.
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Like Buddhism, KHTK places knowledge above self. Knowledge derived from any source, such as, Christianity, Buddhism, modern psychology, etc., must be consistent. If there is an inconsistency, it is investigated to discover the underlying consistency.
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KHTK Exercises based on Buddhism contains the ten basic exercises derived from what Buddha taught.
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KHTK Exercises based on Scientology provides self-help exercises based on Hubbard’s research in Scientology, which address conditions in a more targeted manner. Here the discipline of mindfulness replaces Hubbard’s use of e-meter. More exercises shall be added over time.
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In KHTK, a person resolves his or her problems through mindful looking as directed by the exercises. Thus, KHTK helps resolve personal problems without the violation of one’s privacy.
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These KHTK exercises may be used to help friends and family members by first instructing them on the 12 steps of mindfulness (see Training in Mindfulness), and then assisting them with the application of these exercises. This may be done over long distances using phone or Skype without any difficulty.
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KHTK does its own investigation into inconsistencies encountered among the various sources of knowledge, and provides their resolution in terms of more basic understandings. See the Philosophy Project.
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Beyond these exercises and understandings, spiritual gains may be obtained by continually spotting and resolving inconsistencies as they are encountered in life. Please see Knowledge & Inconsistency, Inconsistency & Looking, and Looking at Knowledge.
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KHTK study prepares a person along this path through the application of mindful discussions. See Discussions and what needs to be avoided.
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In this Information Age of today knowledge can be accessed easily through Internet. Therefore, it is not necessary to accumulate knowledge in one’s head. One only needs to learn to rapidly resolve inconsistencies in the knowledge referenced before one applies it. This is how one will be able to survive in this Information Age.
KHTK aims to help develop the ability to spot and resolve inconsistencies by training people on mindfulness.
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