Carl Jung’s Alchemical Tetrameria

Jung’s diagram of his alchemical tetrameria is supposed to represent the evolving self, and suggests movement, succession, and change and yet stillness, consistency, and renewal. His own diagram is quite different from mine, but I do think that mine has some merit.

What are those elements A, B, C, D, and a, b, c, d, and the subscripts 1, 2, 3, 4, indicating the modification of them? I’m not quite sure that it matters, except that for the relationships between the two, and the relationships between the four squares, and the relationships between the four parts of the four squares.

In Jung’s diagram, A equals a cycle of a, b, c, and d, and likewise B a cycle of a1, b1, c1, and d1, etc., and so we can instead say A is a cycle of Aa, Ab, Ac, and Ad, and likewise B is a cycle of Ba, Bb, Bc, and Bd, etc. In that sense my diagram denotes much the same as Jung’s.

Nevertheless, I’m going to have to cycle through some more thoughts about why one should spend too much time contemplating this diagram.

Further Reading:

https://elements.spiritalchemy.com/t3-Ch3.html

http://finitegeometry.org/sc/ph/imago.html

http://www.log24.com/philo/Jung/Aion14.html

Murray Stein / Jung’s Map of the Soul: an introduction

Leslie Stein / Becoming Whole: Jung’s equation for realizing God

Carl Jung / Aion

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The Growth-Share Matrix

This blog obviously needs more cute animals, right? So to symbolize the Growth-Share matrix of product marketing I give you the diagram above.

  • Dogs or Pets: low market share, slow growing industry
  • Cash Cows: high market share, slow growing industry
  • Stars: high market share, fast growing industry
  • Question Marks: low market share, fast growing industry

Please refer to the article below for more explanation.

Further Reading:

https://en.wikipedia.org/wiki/Growth%E2%80%93share_matrix

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The Prospect Theory of Kahneman and Tversky

Like it or not, we are all betting individuals. But what interactions are there between the perceived and actual probabilities of things happening and the choices made for or against them? The likelihood of their occurrence, coupled with the size of the gains or losses from anticipating and acting on them, show that people are not entirely the rational agents that we think they are.

Instead of armchair introspection, careful experimental methods were used to give us these (not so) unexpected results. What is demonstrated is that deciding individuals make asymmetric choices based on their poor understanding of relative likelihoods. All sorts of biases and poor thinking on our part contribute to non-rational evaluations of how we end up choosing between alternatives.

The findings are that the near certainty of events happening is undervalued in our estimation, and the merely possible is overvalued. So those things very likely to occur have a diminished weight in our minds, and those things unlikely but possible have an increased weight. These are called the certainty effect and the possibility effect, respectively.

  • Likely Gain (Fear)
  • Likely Loss (Hope)
  • Maybe Gain (Hope)
  • Maybe Loss (Fear)

This asymmetry in valuation leads fearful individuals to accept early settlements and buy too much insurance, or hopeful individuals to buy lottery tickets and play the casino more often then they should if choosing optimally. What factors contribute to this behavior? Emotions, beliefs, and biases, probably all play a role in these perceived payoffs between dread and excitement.

In some “Dirty Harry” movie, the lead character essentially asks “do you feel lucky, punk?”, to goad another into taking a risk. In the movie “War Games”, the supercomputer more or less temptingly asks, “would you like to play a game?”, to encourage the playing of unwinnable matches. Watch out for those that know how to play the odds of hope and fear to manipulate our prospects and decisions.

Further Reading:

https://theoryofself.com/the-four-fold-pattern-decisions-under-risk-e4e634eefc61

https://en.wikipedia.org/wiki/Prospect_theory

View at Medium.com

Daniel Kahneman / Thinking Fast and Slow

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Combogenesis and Alphakits

Let us calculate!

— Gottfried Leibnitz

I admit it, I’m rather a Utopian.

Perhaps I’ve been thinking all this time that it should be possible to find a reduced set of words, symbols, or even concepts that could serve as a basic core of human expression and being, some kind of fundamental proto-language that might cut across all cultures and yet connect all individuals. Something to undo the “Tower of Babel” and be able to heal all misunderstandings, resolve all disagreements, and find everyone’s common ground. I see now I have fallen down the “perfect language” rabbit-hole.

Of course, along with our imperfect languages we also have to deal with our imperfect thoughts and our imperfect feelings. Not only do we want to hide what we’re really thinking and feeling from others, we want to hide it from ourselves. Is it because we don’t want others to know the weakness and darkness within us, or we don’t want to face those parts of our own identities? Perhaps that is the main problem with language, the ease with which we can lie to both ourselves and others, and our eagerness to accept these lies.

Psychology is supposed to help us understand ourselves better. But before that, there were the Tarot decks, Ouija boards, and the I Chings that were supposed to illuminate our thoughts and actions, and help us perceive, however dimly, a little clearer into the past and future. I’m sure I’m not alone in thinking that such devices merely bring concepts to the forefront of the conscious mind and allow one to engage in creative and playful thinking. Maybe they tie into the “unconscious”, whatever that really means, and if not, then what is the source of their utility?

In the same vein, there are other instruments purported to aid in the effort to know thyself, such as Astrology and Myers-Briggs. Astrology has also been used for divination and that is its popular and sad ubiquity, that is “your daily horoscope”. Myers-Briggs is popular in the business world to help the managers manage and to resolve conflicts, and takes itself more seriously. In my foolishness, even though I didn’t believe that there was a perfect language lost in antiquity, perhaps I thought I could invent one anew like Ramon Llull or Gottfried Leibnitz!

Does language reveal reality or does it mask it? Can it blend and synthesize different realities or can it shape and create the very reality we inhabit? I’ve been mulling over the idea of what the next combogenetic alphakit might be, after chemical-molecular, biological-genetic, and symbolic-linguistic. Could it be something hyper-linguistic or hyper-cognitive, to serve as a perfect language, melding syntax, semantics, pragmatics? Or could it be something completely different, a blending of mathematics and philosophy?

Or even a new type of computer science? Such studies are still in their infacy, so one hopes for future breakthroughs and grand theories of logical systems and (e)valuations. Could a machine that creates reality from mere thought be the perfect language we seek, one that performatively produces no ambiguity by changing the abstract into the concrete, the inner into the outer? The Krell machine in the movie Forbidden Planet was one such hypothetical device, and showed the folly of a scheme that granted god-like powers to mere mortals.

Possibly better is a system that starts from grounding axioms that are so simple and fundamental that all must agree with their basis, utilizes logics that are so straightforward and rational that all must agree with their validity, demonstrates proofs that are so rigorous that all must agree with their worth, all enabled by overarching schemas that allow the truth of all things to vigorously and irrefutably shine. Even then, humankind might be too weak to suffer the onslaught against its fragile and flawed cogitations.

But O, what a wonderful world it might be.

Further Reading:

Umberto Eco / The Search for the Perfect Language

https://equivalentexchange.blog/2019/07/07/the-arcane-arts-of-ramon-llull-the-dignities/

https://equivalentexchange.blog/2019/05/22/combogenesis-a-constructive-emergent-cosmos/

https://equivalentexchange.blog/2018/09/07/the-myer-briggs-type-indicator/

https://equivalentexchange.blog/2019/11/07/the-twelve-houses-of-the-zodiac/

https://equivalentexchange.blog/2013/12/06/the-tempest-and-forbidden-planet/

https://equivalentexchange.blog/2011/08/04/the-64-hexagrams-of-the-i-ching/

https://en.wikipedia.org/wiki/Hedgehog%27s_dilemma

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The Devolution of Trust

The Prisoner’s Dilemma is a simple game designed to show how the success or failure of cooperation between individuals can be contingent on various factors, primarily some sort of reward. Shown above is a representative payoff matrix between two players; each square shows the two choices and the two winnings for each. Each player cooperates (A or B) or cheats (A’ or B’) with the other player, so for example if A and B’ obtains (A cooperates but B cheats) then A loses 1 and B wins 3.

Each player knows all the values of the payoff matrix so it is said they have perfect information, except they don’t know what their opponent will do. If they are rational and believe their opponent to be as well, the wisest thing to do is for both to cooperate to maximize their winnings, knowing that their opponent knows that they could also cheat. If the game is played only once, however, that is clearly not the case.

If the game is iterated, things change. If each player remembers what their opponent did previously, and it is considered to be informative for what they might do next, then the player could use it to condition their decision to cooperate or cheat. Different algorithms or personalities can be considered for the players, with more or less thinking about what to do and more or less willingness to cooperate, and it is interesting to try different strategies, all the while seeing what adjustments of the payoff matrix might do to the results.

This Evolution of Trust site is a very nice lesson in some of the complications that can result for such algorithms and adjustments. On the whole, this site indicates that rationality and consideration for others can thrive, if conditions are right. In the traditional Prisoner’s Dilemma, the reward values in the payoff matrix are usually considered to be jail sentence time (so less is better), or for the site mentioned above where I’ve taken the representative matrix, monetary value (so more is better).

One thing of note in these examples is that each player doesn’t distinguish their opponent by anything other than their posteriori plays, because these players are supposed to be all part of the same group or society. But what if there is an a priori distinction that conditions their decision? So, if your opponent is a known Y, and you are a X, then you might want to raise your social credit with your other Xs by punishing a Y, even if it punishes you or even other Xs in the long run.

For example if you are a member of gang X, you wouldn’t want to cheat against another X. But cheating against a member of gang Y might raise your in-group social capital and be as important as the value of the reward. Or you might want to punish your opponent in group Y by not granting them any benefits even at the cost of your own benefit. Such distinctions are not usually part and parcel of the Prisoner’s Dilemma game, but they would add an interesting and realistic dimension to the game.

And thus lend insight into the woes of our modern political scene and culturally diverse society.

Further Reading:

https://ncase.me/trust/

https://en.wikipedia.org/wiki/Prisoner%27s_dilemma

https://en.wikipedia.org/wiki/The_Sneetches_and_Other_Stories

https://equivalentexchange.blog/2017/08/03/the-prisoners-dilemma/

https://en.wikipedia.org/wiki/Devolution_(biology)

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Tractatus Logico-Philosophicus

Just the facts, ma’am.

— Detective Joe Friday

  1. The World (Die Welt): The world is everything that is the case.
  2. The Case (Der Fall): What is the case, the fact, is the existence of atomic facts.
  3. The Picture (Das Bild): The logical picture of the facts is the thought.
  4. Thought (Gedanke): The thought is the significant proposition.
  5. Propositions (Der Satz): Propositions are truth-functions of elementary propositions.
  6. The Form (Die Form): The general form of truth-function is: [p-bar, xi-bar, N(xi-bar)].
  7. Silence (Schweigen): Whereof one cannot speak, thereof one must be silent.
  8. ( ):

The Tractatus has seven propositions, most with sub-propositions and sub-sub-propositions, etc. I have added the eighth, which is the actual silence of all one cannot speak of. Quite a large section, for all its emptiness.

I also thought it would be nice to have an internet version where you could click and expand down through the sub-sentences. There are already many such versions available for your enjoyment.

I can’t decide whether I like the English or the German version better, so here are both.

Further Reading:

https://en.wikipedia.org/wiki/Tractatus_Logico-Philosophicus

http://www.tractatuslogico-philosophicus.com/

http://www.bazzocchi.com/wittgenstein/tractatus/eng/index.htm

http://www.kfs.org/jonathan/witt/ten.html

https://pbellon.github.io/tractatus-tree/#/

https://tractatus-online.appspot.com/Tractatus/jonathan/index.html

http://daxoliver.com/tractatus/

http://people.umass.edu/klement/tlp/

The Tricky Truth about Tractatus Trees (updated)

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The Utopian vs. the Dystopian

Crime. Pollution. War. Climate change. Corruption. Lies. Overwhelming, isn’t it?

It’s easy to be cynical these days. Reading the newspaper or watching the news on television informs us all of the myriad ways the country and the world are going down the tubes. And watching your favorite entertainments on your beloved media devices shows you all sorts of dystopian futures and worst case scenarios that you’d rather not be in the middle of in a few years time.

It’s easy to get discouraged. It’s easy to feel disenfranchised and helpless by the onslaught of problems that we are facing every day, every week and every year. It’s hard enough to manage our own issues and get through the day without feeling like we’ve lost ground to disorder and entropy. It’s hard to be happy about a future that will be hardly worth catching up to, a future less happy and less hopeful than we thought we had earned and even deserved.

Utopianism is out, and Dystopianism is in. Nobody seems to want to hear about bright and shiny possibilities for everybody. It’s either pie-in-the-sky or it’s flat-out impossible. Human nature and economics collude to block us from hoping for better days, for a sustainable progress in our quality of living, learning, and planning. No words to the contrary, because that’s not being “realistic” of how the world works, or how it is run. All we can do is wait for ruination.

Happy reading and watching!

Further Reading:

https://en.wikipedia.org/wiki/Utopian_and_dystopian_fiction

https://en.wikipedia.org/wiki/Enlightenment_Now

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