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J. Calvin 'Bimp' Smith

26 Jul, 10 tweets, 3 min read

1/ - I have Tweeted before about the number study I am doing, & I want to update this information. I am examining prime numbers from 2 on upward - I am currently at 6733 - to understand more about their Pisano periods: the cycle length the Fibonacci Series has modulo any integer.

2/ - In particular, I want to discover more about what we apparently do not yet understand: the behavior of the Pisano period, which for a prime p ending in 3 or 7 divides 2*(p+1), and for a prime ending in 1 or 9 divides p-1. When I do the division, I get what I call the Ratio.

3/ - For a good majority of the prime numbers ending in 3 or 7, the Ratio of p plus one to the Pisano period is 0.5. For a slightly smaller number of the prime numbers ending in 1 or 9, but still a majority of them, the Ratio is 1.0.

4/ - The Ratio can go quite a bit higher than this, with generally (but not smoothly) fewer and fewer prime numbers giving those higher Ratios. Any pattern or formula to it is elusive, but I want to attempt at least to find it.

5/ - Such a formula might shed more light on the general understanding of the distribution of prime numbers themselves. The examination of steadily increasing prime numbers and their Pisano periods, and the table I am building of those values, has an almost dance-like rhythm.

6/ - (p+1)/Pisano(p), for p ending in 3 or 7, will always end in .5, while (p-1)/Pisano(p) for p ending in 1 or 9 will be a whole integer. I have charted the primes I have studied so far divided by their Pisano periods, & produced a scatter plot, its levels tending to the Ratios.

7/ - A large table I have been assembling as I learn, which lists "Fibonacci modular cycle lengths" - Pisano periods - & factorizations of the integers which generate each one, for all integers from 2 to 4351 & many primes after that, is here, for information/completeness:

8/10 - docs.google.com/document/d/1B5…

@platobooktour

8/ - A bit of inspiration and whimsy in this study for me came in the form of @platobooktour's novel "36 Arguments for the Existence of God: A Work of Fiction," in which a very young ultra-Orthodox Rabbi's son thinks of the infinite prime numbers as angels.

9/ - To me that is, especially now, an attractive image. I see my scatter plot as showing those angels in increasingly rarefied heavenly levels, the details and reasoning behind the angelic hierarchy still, of course, secret.

(But I'm working on it.)

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More from @jcsbimp

J. Calvin 'Bimp' Smith

@jcsbimp

28 Jul

1. Robert Redfield was a professor of anthropology & one of Kurt Vonnegut, Jr.'s favorite teachers. He gave us the idea of "folk societies," like-minded communities which, Redfield and Vonnegut saw, were on the way out as technology and automation brought vast changes to America.

2. Not only has technology and automation grown, perhaps not exactly as Vonnegut feared, but today's Information Age has changed us almost as drastically as we have thrown off many of the racial attitudes that came from manipulation by our powerful and prosperous forefathers.

@JYSexton

3. Some of what my native Southeastern United States now struggles with, & what gave the cultural manufacturers of consent the wedge to erect what @JYSexton calls "The Cult of the Shining City" across the rural USA, is, I think, a strong desire to preserve a "folk society" here.

Read 8 tweets

J. Calvin 'Bimp' Smith

@jcsbimp

27 Jul

1/7 - So ... when and if the millions who hate liberals and still love Trump come around, maybe not to accepting Biden's win or to admitting Republican corruption, sedition, or insurrection, but at least to not actively participate in plans to continue it...

2/7 - ... when accountability comes for highly-placed leaders who manipulated millions and became an actual domestic threat to our Constitution and our Government ...
... when heads roll for a worsened pandemic and a multitude who were manipulated to make it that way ...

3/7 - What do you think our friends and neighbors who never came around to "our way of thinking" will do? What will they say? How will they act? What will our society become?

Read 7 tweets

J. Calvin 'Bimp' Smith

@jcsbimp

25 Jul

@FoxNews

1/4 - POPULISM!!!

Which "hoi polloi" should govern?

The "We the People" hoi polloi?

Or the hoi polloi, millions strong, manipulated by @FoxNews, @OANN, @newsmax, and certain prosperous evangelical pastors?

2/4 - The descendants of the hoi polloi who bought into Manifest Destiny & who were okay with exterminating Natives & enslaving Africans?

Or the hoi polloi that sees humanity as equal?

They each have argued dangers of government by "hoi polloi," & point fingers at each other!

3/4 - Luckily, objective, sound reason gives us methods with which we can determine which of the "hoi polloi" actually speak with the voice of the people, a voice not manipulated by powerful forces trying to stay powerful by using subtle PsyOps to get us to play their game.

Read 4 tweets

J. Calvin 'Bimp' Smith

@jcsbimp

23 Jul

1/9 - There is a class war being waged - a war of intimidation - against America, & its roots are centuries old. It has turned deadly in recent years, with a worsened pandemic and a Capitol riot among deliberate attacks on us, but it also fuels the fight against Progressivism.

2/9 - Industrialists, corporatists, and the keepers of huge sums of inherited wealth are the ranks from which those super-powerful super-rich who are fighting this war of intimidation against the rest of us come. They use politicians, pundits, preachers, & psychological tactics.

3/9 - Chief among their aims is the avoidance of proportional taxation or any change in who gets to sit in the catbird seat in America. As I said, this is a class war. Many in the Investor Class, who wish to join the Super-Rich and stand any chance of doing so, fight for them.

Read 10 tweets

J. Calvin 'Bimp' Smith

@jcsbimp

8 Apr

1. Part of the problem of my non-academic pursuit of learning about the field of philosophy is EXACTLY that it is a non-academic pursuit of learning about it. I can watch classroom lectures but not participate in them. I am limited in feedback I can get on my own observations.

2. There is also the age at which I started really digging into all of this. Yes, I took Honors Philosophy 101 (remembered course designator is approximate), but I was steeped in a Southern Baptist evangelical worldview and thoughtview then, as, I believe, was my instructor.

3. When the course consists of a ride through classical (Greek) philosophy, VERY early European thought, and an amusing detour over to visit the Asians and their curious one-hand-clapping riddles, and I fulfill my lone writing assignment with a paper about Democratic Theory...

Read 11 tweets

J. Calvin 'Bimp' Smith

@jcsbimp

8 Apr

1/9. There must be, I think, a whole school of philosophical thought I'm not seeing. I suspect it's out there, but it's in disguise, or surrounded by deceptive similarities that aren't as good, or as genuine. Or maybe it's psychology rather than philosophy, I don't know.

2/9. Help me out.
What I am thinking about is the whole concept of the betterment of oneself: Where do we draw the line between accepting ourselves as we are, warts and all, and trying to improve even when it is difficult to do so?

3/9. When do we want to prize our individuality and our need to march to the sound of no other person's drum, and when do we want to push at our own self-imposed boundaries?

Read 9 tweets

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