What Is Attempted Orthoism?

attempted orthoism

When the topic of labels for belief systems, life philosophies, and the like comes up, I find that I tend to become uncomfortable with labels which are also used by, well, anyone else. For this reason, I’ve named my own system “attempted orthoism,” which I will now try to explain.

First, I’ll deal with that elephant in the room: the Creator of the Universe, by any name. Does such an entity exist? Well, I simply don’t know, but I also realize that this could change. If there is a deity, and that entity chooses to make evidence of his/her/its existence known to me, I’ll pay attention to the evidence, and see where it leads me. This is, to me, given my present state, the only position that makes sense.

“Ortho-,” as a prefix, can mean “right” (as in a right angle), or “correct,” either one. The suffix “-ism” is used in words such as Catholicism, capitalism, materialism, socialism, Communism, Hinduism, etc. — the “-isms” are simply systems of belief and/or thought. The meaning of “attempted” is obvious, so if you put it all together, here’s what it means: I simply attempt to be correct. Less formally, I try do the right thing, in the various situations I encounter in life.

These are some of the features of attempted orthoism:

  • The desire to hold positions on various issues which are correct.
  • The desire to do the ethical thing in all situations.
  • Honesty. Lies are not helpful in any effort to be correct.
  • The willingness to admit it when I do not know something, once I realize that I do not know it.
  • The refusal to reject the possibility that supernatural entities exist, in the absence of empirical evidence for their non-existence.
  • The inability to embrace a belief in any supernatural entity, as long as no compelling, empirical evidence is found that such a being does exist.
  • Respect of the rights of others peacably disagree, on these or other issues.
  • Maintaining high standards for evidence, and acceptance of principles. This means using and testing hypotheses, reasoning logically, and guarding myself from error with a mental shield: my skepticism. To prove something to me, a mathematical proof would be an excellent approach. If you simply want me to accept that something happens provisionally, until and unless new evidence arises to disprove it, then the scientific method is the way to go. I place a premium on logic, and reasonable arguments.
  • Refusal to accept emotional arguments, or arguments from authority, for the simple reason that such methods so often lead to serious error.
  • Re-testing previously-accepted principles, for we can all fool ourselves better than anyone else.
  • Reservation of the right to question anything and/or anyone.

This is not a complete list. Attempted orthoism is a work in progress.

On Therapeutic Writing, and Putting Hexakaidekaphobia in Remission

hexadeka

When my mother died, last November 16, I wrote an obituary for her, which I was then asked (unexpectedly) to read at her funeral, as one of two eulogies. This was one of the most difficult things I have ever done, but writing it did help me (somewhat) with the immediate problem I was having dealing with grief.

After the funeral, I felt numb much of the time, for months, until May 16 arrived — exactly six months after she died — at which point my tightly-controlled emotional state shattered, leaving me in worse shape (in some ways) than I was on, say, November 17 of last year. This was unexpected, and caused significant problems, including the development of monthly hexakaidekaphobia, a morbid dread and fear of the 16th day of every month. (The word is a modification of “triskaidekaphobia,” an irrational fear of the number thirteen).

June 16 was worse than May 16 — absolutely full of PTSD attacks. (I’ve had PTSD for most of my life; my mother’s death made it worse.) Fortunately, I don’t try to hide mental health problems, as I once did — I try to find the help I need, from physicians, to deal with such problems, and, when I find things that help me, I write about them. I also have long used recreational mathematics to help me feel better when depressed.

It was in this context that mid-July arrived. I went to sleep on July 15th with the knowledge that it was extremely important for me to find better coping mechanisms before the start of school in August. When I woke up on July 16, which could have been another horrific day of severe depression, anxiety, and other problems, I did not feel those negative emotions. This does not mean I had “gotten over” the facts that my mother did die, and that I miss her terribly. However, it did mean I was experiencing grief differently: I was feeling grief, rather than letting feelings of grief control me — and there is a huge difference between the two.

That morning, July 16, I knew what I needed to do as soon as I woke up: I needed to write. For me, that generally means blogging, and that’s what happened. This “therapeutic writing,” as I call it, was helpful enough on July 16 that I continued it the next day. When I next spoke to my doctors, I told them I was doing this, and why, and they agreed that such writing (like the “mathematical therapy” I have done for years) was an excellent, helpful activity. (This “check with professionals” step is essential, and I do not recommend attempting mental health therapy without the help of at least one licensed, qualified psychiatrist, and/or other type of therapist, such as a clinical psychologist.)

Of course, I could do this therapeutic writing in a spiral notebook, and keep it private; no writing has to go on the Internet. Why, then, do I choose to post such material where anyone can see it? I first explained why I blog about mental health issues in this post, but the short version is this: I hope that my openness on this subject can help reduce the social stigma which, unfortunately, still surrounds topics related mental health. This stigma is harmful because it keeps millions of people from seeking the professional help they need. I have also found it a personally liberating experience to come out of the “closet” on such issues, for, as with other metaphorical “closets,” it is the truth that closets are not good places for people to live their lives.

School starts on August 15 — only four days from now — and I’m going to do everything I can to make that day, the next day (the formerly-dreaded 16th of the month), and the rest of the days in the school year as good as they can possibly be for my students, as well as myself. I could tell I was on the right track when I decided to write about monthly hexakaidekaphobia early this morning, but in the past tense. Before I started writing, I “warmed up” by constructing the geometric art at the top of this post, which, if you examine carefully, you will see is based on — what else? — the number sixteen. In my case, at least, mathematical therapy and therapeutic writing go hand-in-hand, and this is what I am doing to try to leave my monthly hexakaidecaphobia in the past, where it belongs.

I still miss my mother. She was once, as I am, a science teacher, and was also involved in education in many other ways. She would want me to have good school days on August 16th, September 16th, and so on, as well as the days in-between — and, to properly honor her memory, and give my students the education they deserve, I am determined to do my best to do exactly that.

Zonohedra, Zonish Polyhedra, and Another Puzzle

In a recent post, I showed many images of zonohedra, then challenged readers to figure out, from the images, what zonohedra are: polyhedra with only zonogons as faces. Zonogons, I then explained, are polygons with (A) even numbers of edges, and with opposite edges always (B) congruent and (C) parallel. Here is another collection of zonohedra. (Individual images may be enlarged with a click.)

The next set of polyhedra shown, below, are not true zonohedra (as all the ones above are), but merely “zonish polyhedra.” From examination of the pictures above and below, can you figure out the difference between zonohedra and zonish polyhedra?

When you are ready to see the solution to the puzzle, simply scroll down.

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While zonohedra have only zonogons as faces, this restriction is “loosened” for zonish polyhedra. Such solids are formed by zonohedrifying non-zonohedral polyhedra, and letting at least some of the faces of the resulting polyhedra remain non-zonogonal. Zonish polyhedra  are called “zonish” because many (usually most) of their faces are zonogons, but not all of them — in each case, some non-zonogonal polygons (such as triangles and/or pentagons, with their odd numbers of edges) do appear. Non-zonogonal polygons are not required to have odd numbers of edges, of course: simply having opposite edges be parallel, but of different lengths, is enough to prevent a polygon (such as a hexagon, octagon, or decagon) from being a zonogon. 

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Software credit: I used Stella 4d to make these images. This program may be tried for free at this website.