Archive for the ‘Science’ Category

The Arcane Arts of Ramon Llull : the Dignities

July 7, 2019

Oh, Ramon Llull, where have you been all my life? I’m sure he’s been there all along, death now over seven hundred years in the past, just like always. His legacy seems at first glance to be quite the essence of medieval religion and scholastic philosophy, but still significantly and obscurely different to be enticing to this one. And on further examination, much more.

My schema above has little to do with his grand elaborate figures, except for listing the sixteen attributes he called “dignities”. Llull’s diagrams are full of clock-like wheels within wheels, complicated tableau, and combinatorial patterns. He wished to create a universal model to understand reality, and who wouldn’t want to discover the same? It is said that his methods are akin to an early computer science, and I’m just now starting to understand why.

The magister based the substance of his methods on his Christian faith, although he converted in midlife from Islam. Living in Barcelona, it was probably a good place to make such a change, but felt his calling was to convert others as well, so traveling he went. The methods he developed to convince others of their errors in belief were quite remarkable, as were the volume of his writing.

Like Gottfried Wilhelm Leibniz, who lived four hundred years later and was influenced by him, Llull wished to automate reasoning. But instead of building mechanical devices, Llull built computers from paper and ink, rulers and drawing compasses, scissors and glue. And instead of numbers as the smallest tokens of his computer, he used abstractions (i.e. words) that he felt would be understood by everyone in exactly the same way.

For example, he enumerated these sixteen dignities or aspects of his Christian diety, although sometimes he used the first nine. His constructions allowed one to pose questions and then obtain answers mechanistically that would be convincing to all observers of the correctness of the result. Too bad he was ultimately stoned to death while on his missionary work, although he lived to be eighty two.

Llull’s devices remind me of some of my pitiful charts and diagrams, and make me wonder if I may either adapt some of his techniques to my own use, or be inspired to develop others. I suspect I have locked myself into limitations by my approach, or are these constraints to my advantage? It might be hard to have spinning elements, but I can envision sliding elements like Napier’s Bones, origami-style folding and pleating, and even physical constructions like linkages and abacuses.

Now a martyr within the Franciscan Order, Llull’s feast day is June 30, which I’ve now missed. I hope to remember him to repost or improve on this by next year.

Further Reading:

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

https://plato.stanford.edu/entries/llull/

http://trepanatus.blogspot.com/2007/06/ramon-llull.html

https://history-computer.com/Dreamers/Llull.html

http://www.ramonllull.net/sw_studies/studies_original/compsale.html

“Let us Calculate!”: Leibniz, Llull, and the Computational Imagination

http://www.ncregister.com/blog/astagnaro/bl.-raymond-lull-and-the-worlds-first-computer

https://dangerousminds.net/comments/the_13th_century_thinking_machine_of_ramon_llull

The memory wheel

https://www.google.com/search?q=ars+magna+llull&tbm=isch

[*11.118]

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Combogenesis and Evolution

June 23, 2019

There is grandeur in this view of life, with its several powers, having been originally breathed into a few forms or into one; and that, whilst this planet has gone cycling on according to the fixed law of gravity, from so simple a beginning endless forms most beautiful and most wonderful have been, and are being, evolved.

— Charles Darwin, from The Origin of Species

Another important part of Tyler Volk’s theory of combogenesis that I didn’t mention previously is the role that evolution plays in the dynamical realms of biology and culture. He even illustrates evolution as a three-part braid where the strands are the processes of propagation, variation, and (natural) selection. He argues that these processes are fundamental to an abstract notion of meta-evolution that can be seen working to cause change in both of these different domains.

I don’t think that there is anything controversial in listing these three processes as being essential for biological evolution. Other diagrams and schemas available on-line also mention overproduction or fecundity, or having more off-spring than is strictly needed to continue the population, and heredity or heritability, or the ability to pass on special traits from parents to children.

Overproduction not only allows for greater survival chances for the organism but also gives genetic variation a better chance at producing something beneficial or interesting. This depends on what your chance of variation is, of course, but it seems that it is just a facet of propagation. Likewise, heredity seems like it is also included in propagation, as the continuance of the same or similar attributes to one’s descendants.

I previously proposed that four processes were essential to the workings of evolution: generation, variation, selection, and speciation. Generation is basically another word for propagation, although propagation might more clearly suggest having same or similar dependents, whereas generation just means having descendants. Overproduction can also be combined into either of these aspects if so desired. But I’ll say that (at least in my mind) generation and propagation are roughly the same.

But what about the process of speciation? Is it as fundamental to biological evolution as we see it working on our planet today as the other three processes? Speciation only means the formation of new and distinct species by evolutionary process. So generation, variation, and selection don’t really allow for the “endless forms most beautiful” in the famous quote of Darwin, or do they? Speciation also implies the heritability attribute of evolution, so maybe both generation and speciation subsume the aspect of propagation in most biologists or at least Volk’s mind.

But an important question is, is specification implied by the other three, like three mathematical axioms implying a theorem, or is it independent of them? If you don’t have speciation, don’t you essentially just have one type of organism? Or would you just have a continuum of variation within the population, without any barriers for reproduction between them? I’ll admit that these questions are too complicated for me to answer at this time.

Getting back to Volk and combogenesis, he and others have argued that cultural change is an evolutionary process as well. Another important question then is, if speciation is fundamental to evolution, then is the differentiation of cultures fundamental to the evolutionary process of culture? If so, culture may never be ‘one thing’, and we will always have different cultures competing for dominance.

The competition of different cultures isn’t necessarily a bad thing, as perhaps they can also be pluralistically cooperative. And perhaps having multiple cultures are best in case the society heads down an evolutionary dead-end, longevity-wise. But still, this might be the reason that we will always have multiple cultures that just can’t agree, can’t get along, and can’t really live together.

You might hope that by language and reason, different societies and ideologies can bridge gaps in understanding. You might hope that good-will and morality might win out, and destructive vitriol will be held in check. You might indeed hope. But research has shown that people are very resistant to changing their minds once they think they are right. I think it has been shown that new types of media (I’m looking at you, internet) has exacerbated this problem to the n-th degree.

There is the fourfold Means and Ends (of course there is) that includes cooperation and competition, as well as conflict and coalition. It is based on looking at the compatibility and incompatibility of different means and ends. Even if you can’t have full cooperation, perhaps you can have (mere) competition or coalition within cultures, instead of out-and-out conflict. Perhaps the key is to find those common goals, and even those common values that might allow our factious society to move forward. But many others have said these types of things.

Interestingly, there are also four types of geographic biological speciation, so looking at these might give us clues as to what might be occurring for our speciation in cultural evolution (there’s a nice diagram at the Wikipedia entry). Do the same processes that produce species in the biological world also produce societal divergences in the cultural world? Are these processes the origins of tribes, nations, and even wars? Are there analogues of allopatric, peripatetic, parapatric, and sympatric speciation when considering different cultures and their conflict and cooperation?

Further Reading:

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

https://sciencing.com/four-factors-natural-selection-8140305.html

https://metapatterns.wikidot.com/nyusjm1-1:flott-evolution

https://evolution.berkeley.edu/evolibrary/article/evo_43

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4816541/

https://www.nature.com/scitable/definition/speciation-183

https://equivalentexchange.blog/2012/06/08/the-theory-of-evolution/

https://equivalentexchange.blog/2015/12/30/means-and-ends/

https://www.newyorker.com/magazine/2017/02/27/why-facts-dont-change-our-minds

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Four Sociological Traditions

June 18, 2019

A blurb found on the web for this 1994 book:

The updated version of Collins’s critically-acclaimed Three Sociological Traditions, this text presents a concise intellectual history of sociology organized around the development of four classic schools of thought: the conflict tradition of Marx and Weber, the ritual solidarity of Durkheim,the microinteractionist tradition of Mead, Blumer, and Garfinkel, and–new to this edition–the utilitarian/rational choice tradition. Collins, one of the liveliest and most exciting writers in sociology today, traces the intellectual highlights of these four main schools from classical theories to current developments, introducing the roots of sociology and indicating the areas where progress has been made in our understanding, the areas where controversy still exists, and the direction in which sociology is headed.

Further Reading:

Randall Collins / Four Sociological Traditions

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

https://equivalentexchange.blog/2015/11/16/the-four-requisites-of-randall-collins/

[*4.6, *11.110]

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Combogenesis: a constructive, emergent cosmos

May 22, 2019

I just finished reading Tyler Volk’s “Quarks to Culture: how we came to be”. In this book Volk outlines an interesting model for what he calls combo-genesis, a “great chain of being” leading from basic physical law up through the highest organizational structures that we know of, human societies. He traces a path through human knowledge: physics, chemistry, biology, zoology, sociology, etc., and I am reminded of E. O. Wilson’s “Consilience: the unity of knowledge” that argued for some of the same things.

But Volk’s work has some good new ideas. He details twelve hierarchical levels, where each level is constructed on a “lower” previous level, and the new “higher” level has new things and different abilities than its predecessor. These levels range from the level of fundamental quanta (the quarks of the title), to geo-political states (the culture of the title).

  • QUA: fundamental quanta
  • PRO: nucleons, which are protons and neutrons
  • NCL: atomic nuclei
  • ATM: atoms
  • MOL: molecules
  • PCL: prokaryotic cells
  • ECL: eukaryotic cells
  • ANI: multicellular organisms, including animals
  • ASG: animal social groups
  • HUM: human tribal meta-groups
  • AGR: agro-villages
  • STA: geo-political states

These levels are within three dynamical realms, the first realm being of physical laws and then those realms of biological and cultural evolution. Each of these realms has a base level that has a capability for great constructive and emergent potential via an “Alpha-kit”. An alpha-kit has two facets, an element set and a cornucopia set, that operate like an alphabet and the myriad combinations that that alphabet can produce.

Dynamical realms:

  • Realm of physical laws: QUA -> MOL
  • Realm of biological evolution PCL -> ASG
  • Realm of cultural evolution HUM -> STA

Base levels and their Alpha-kits:

  • QUA, means for chemistry and molecules (atomic)
  • PCL, mechanisms for biology and its evolution (genetic)
  • HUM, faculty for culture and its evolution (linguistic)

As Volk’s model has each higher level based on or constructed from the previous lower one, I make the following suggestion utilizing my four-fold Structure-Function. The structures of each lower level serve as the parts of the next higher level, and the functions of each lower level serve as the actions of the next higher level. In this way a chain of actions and parts, structures and functions are built giving different entities and capabilities to different operational domains.

In the diagram shown, the sets of structures (S) and functions (F) of level i are used for the sets of parts (P) and actions (A) of level i+1, so S(i)=>P(i+1) and F(i)=>A(i+1). Not all structural information or functional abilities are necessarily accessible in the higher level of parts and actions, similar to the information and method hiding in object-oriented programming, and so reducing overall complexity. And as I have argued before, parts are combined to create the structures and actions are combined to create the functions of each level, so P(i+1)=>S(i+1) and A(i+1)=>F(i+1). In this way we have a bottom-up combo-genesis leading from quarks to culture.

Are we now entering another dynamical realm, perhaps based on some technological or computational alpha-kit? But, unfortunately we have to ask, will it take us forwards or backwards?

Further Reading:

Tyler Volk / Quarks to Culture: how we came to be

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

https://blogs.scientificamerican.com/cross-check/how-quarks-turned-into-cultures/

http://www.integralworld.net/smith56.html

http://www.integralworld.net/visser114.html

https://inquisitivebiologist.wordpress.com/2019/03/06/book-review-quarks-to-culture-how-we-came-to-be/

Tyler Volk and Robert Wright discuss:

mol-2017-09-28-wright-volk

Edward O. Wilson / Consilience: the unity of knowledge

https://en.wikipedia.org/wiki/Consilience_(book)

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

[*11.98, *11.99]

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Patrick Geddes and the Notation of Life

May 8, 2019

Over the last few decades, there has been renewed interest in the work of biologist, sociologist, and city planner Patrick Geddes [1]. This is due to his efforts for holistic considerations for the entirety of the modes of human life and the facilities appropriate for their function. That is, he asked what makes a city or a town ideal for life, and how can we plan to bring this ideality into being? To this day, cities fail in many important ways.

Geddes embraced the new (at the time) Victorian notion of evolution in his work and thought of how cities could and should evolve to meet their shortcomings as well as provide environments for future developments. For example, common institutions such as schools, churches, and governments (polity) need to cooperate with family dwellings to provide for synergy and functional enrichment.

Geddes often used grids of words to explore relations between concepts, such as place, work, and folk. Placing these words along the diagonal of a square allowed one to consider the paired concepts of place-work, work-place, place-folk, etc. For example, how does the place-work compare with the work-place? His “notation of life” was a complicated schematic for exploring relations between a city’s facilities and the activities that they should promote.

  • Town / Acts : place, work, folk
  • School / Facts : sense, experience, feeling (alt. lore, learn, love)
  • City / Deeds : ethno-polity, synergy, achievement (alt. polity, culture art)
  • Cloister / Dreams (Thoughts) : emotion, ideation, imagery (alt. ideals, ideas, imagery)

Two locales are objective, two are subjective, two are passive, and two are active:

  • In-World (Subjective) : School and Cloister
  • Out-World (Objective) : Town and City
  • Passive : Town and School
  • Active : City and Cloister

And so:

  • Passive & Subjective : School
  • Active & Subjective : Cloister
  • Passive & Objective : Town
  • Active & Objective : City

Any important thinker is inspired and influenced by those that were previous or are contemporary to them and in turn is inspiration to those that follow. James H. Cousins was an important syncronic influence on Geddes, and please see [2] and [3] for information about him. The integral theory of Ken Wilber [4] is also compared to Geddes in [5]. I understand architect Lewis Mumford was a disciple of Geddes and I hope to find out more at a future time, perhaps by reading my copy of [6].

References:

[1] https://en.wikipedia.org/wiki/Patrick_Geddes

[2] http://hodgers.com/mike/patrickgeddes/feature.html

[3] https://equivalentexchange.blog/2017/07/13/a-study-in-synthesis/

[4] https://equivalentexchange.blog/2010/06/10/ken-wilbers-aqal/

[5] Theodore S. Eisenman, Tom Murray / An Integral Lens on Patrick Geddes, Landscape and Urban Planning,
http://dx.doi.org/10.1016/j.landurbplan.2017.05.011

[6] Donald T. Miller / Lewis Mumford, a Life

Further Reading:

http://architectureandurbanism.blogspot.com/2010/10/volker-m-welter-biopolis-patrick-geddes.html

https://www.dundee.ac.uk/geddesinstitute/projects/citythink/

http ://medium.com/@designforsustainability/design-and-planning-for-people-in-place-sir-patrick-geddes-1854-1932-and-the-emergence-of-2efa4886317e

View at Medium.com

https://quadralectics.wordpress.com/4-representation/4-1-form/4-1-4-cities-in-the-mind/4-1-4-1-the-ideal-city/

Patrick Geddes / Cities in Evolution

https://archive.org/details/citiesinevolutio00gedduoft/page/n10

[*9.12, *9.14, *11.92]

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Noether-Pauli-Jung, V2

April 10, 2019

What happens when the fourfold of Noether’s Theorem is spliced together with the fourfold of Pauli-Jung? Both have Space-Time and Matter-Energy. The former has Conservation and Symmetry, and the latter has Causality and Synchronicity. And if Space-Time and Matter-Energy are both divided into Space and Time and Matter and Energy, one obtains this eight-fold.

Causality means that some action or cause in time (say a process) of things in space can have an effect (another process, say) on different things in space, and Synchronicity means that different events (say processes) separated in space can have non-causal relationships between them.  Conservation means the consistency of a quantity of matter or energy or matter-energy through time, and Symmetry means the consistency of a measure of a structure or form through space.

I am reminded of my fourfold Four Bindings, consisting of Chains, Grids, Blocks, and Cycles. Causality and Synchronicity are Chains (or non-chains for the latter) Space and Time are Grids (or flexible meshes), Matter and Energy are Blocks (or chunks of stuff), and Symmetry or Conservation are Cycles (of the group-theoretic kind or the equivalence class kind or just loops).

Further Reading:

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

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

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

https://equivalentexchange.wordpress.com/2012/05/04/noethers-theorem/

https://equivalentexchange.wordpress.com/2018/01/23/atom-and-archetype/

https://equivalentexchange.blog/2016/04/06/four-bindings/

This is a reworking of a previous six-fold diagram that I believe is served better as an eight-fold.

https://equivalentexchange.blog/2018/03/29/noether-pauli-jung/

[*10.68, *10.155, *11.55]

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Colors of Light and Matter

March 26, 2019

Colors of light and colors of matter operate somewhat differently from each other. Colors of lights are additive, but colors of material pigments are subtractive. Of course, they both are conditioned by the biology of the human eye and cultural preferences. Above I have tried to create a synthesis of sorts for both types, and whereas it is pleasing in some ways, it is lacking in others.

White light is combined red, green, and blue light, and combinations of green and red light yield yellow light, combinations of red and blue light yield magenta light, and combinations of green and blue light yield cyan light. Similarly, black is mixed yellow, magenta, and cyan pigments, mixing cyan and magenta pigments produce blue pigment, mixing cyan and yellow pigments produce green pigment, and mixing yellow and magenta pigments produce red pigment.

Further Reading:

http://learn.leighcotnoir.com/artspeak/elements-color/primary-colors/

[*11.63]

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Four Forms Make a Universe

March 12, 2019

How could I not love a paper with this title? I’ve struggled with it for a bit, and I’ve only managed a couple of diagrams relating the author’s LICO (Linear Iconic) alphabet made up of 16 letters. However, I see that there are a few other papers by Schmeikal available on ResearchGate that look easier to understand. But also however, the first one says to read the “Four Forms” paper first!

At any rate, I present a sixteen-fold of the LICO alphabet, and another of the binary Boolean operators that are in a one-to-one mapping with LICO. There is much to understand from these papers, including much syncretism between various mathematical sixteen-folds, so please forgive me if I don’t explain it all with immediate ease. However, I believe it is well worth the effort to understand.

(Please note that the characters of the LICO alphabet are oriented so that the bottoms of the letters are downward, but the Boolean operators are oriented so that the bottoms of the equations are towards the right angles of the triangles.)

The title comes from the result that four elements of LICO can reproduce the other twelve via linear combinations. These four forms are 1) Boolean True (A or ~A), 2) A, 3) B, and 4) A=B. These are within the interior right-hand triangles in the LICO diagram. Of course, it is well known from Computer Science that the NAND operator (~A or ~B) can also generate all other fifteen operators, but this is by multiple nested operations instead of simple Boolean arithmetic. There are several other “universal” binary gates that can do this as well.

Two other representations that have four elements that can generate the other twelve via linear combinations come from CL(3,1), the Minkowski algebra. These representations are called “Idempotents” and  “Colorspace vectors”. Because of this algebra’s association with space and time in relativity, Schmeikal claims that LICO has ramifications in many far-ranging conceptualizations.

Further Reading:

Bernd Schmeikal / Four Forms Make a Universe, in Advances in Applied Clifford Algebras (2015), Springer Basel (DOI 10.1007/s00006-015-0551-z)

https://link.springer.com/article/10.1007/s00006-015-0551-z

At http://www.researchgate.net:

Bernd Schmeikal / Free Linear Iconic Calculus – AlgLog Part 1: Adjunction, Disconfirmation and Multiplication Tables

Bernd Schmeikal / LICO a Reflexive Domain in Space-time (AlgLog Part 3)

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

https://www.allaboutcircuits.com/technical-articles/universal-logic-gates/

[*9.145, *11.50]

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Four New Synthetic Base Pairs Added to DNA

February 27, 2019

All life on earth uses DNA with four types of base molecules arranged in a “double helix” to encode information as sequences of Adenine-Thymine (A-T) and Cytosine-Guanine (C-G) pairs. Because A pairs only with T and C only pairs with G, DNA can be split into two halves and then each half may be completed so that two double helices with the same information can be obtained. Nature also uses the “genetic code” to translate the information in DNA into specific amino acids via its molecular machinery that assembles proteins in the correct sequence.

Now scientists have doubled the number of base pairs of DNA by adding four synthetic ones to the original four natural ones. Four new base molecules S (a Pseudo-T), B (a Pseudo-B), Z (a Pseudo-C), and P (a Pseudo-G) have been created so that S only pairs with B and Z pairs only with P. Now you have twice as many options as you had before and so this “hachimoji” (eight letter) DNA can have much greater information density. Plus if you re-engineer the molecular machinery to use these new bases you can have a brand new extended genetic code to build all sorts of synthetic proteins.

Further Reading:

https://www.scientificamerican.com/article/four-new-dna-letters-double-lifes-alphabet/

http://science.sciencemag.org/content/363/6429/884

https://gizmodo.com/freaky-eight-letter-dna-could-be-the-stuff-aliens-are-m-1832823430

[*11.46]

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Spiral Dynamics

February 21, 2019

Spiral Dynamics is an intriguing model for the different levels of development and interaction that individuals (and even cultures) may exhibit towards each other and the world. It has interesting parallels to Erikson’s Eight Stages of Psychosocial Development and even Leary’s Eight Brain Circuit Model of Consciousness.

Below is a list of these levels by (Catchy) Name, Social Structure, Motives, and Means of Coping:

  • SurvivalSense, Loose Bands, Survival, Instinctive
  • KinSpirits, Tribes, Magic/Safety, Animistic
  • PowerGods, Empires, Power/Dominance, Egocentric
  • TruthForce, Pyramidal, Order/Morality, Absolutistic
  • StriveDrive, Delegative, Autonomy/Achievement, Multiplistic
  • HumanBond, Egalitarian, Approval/Equality/Community, Relativistic
  • FlexFlow, Interactive, Adaptability/Integration, Systemic
  • GlobalView, Global, Compassion/Harmony, Holistic

And maybe another, further step if we don’t destroy ourselves and the Earth by just being stupid.

Further Reading:

Don Edward Beck, Christopher C. Cowan / Spiral Dynamics: mastering values, leadership and change

Don Edward Beck, et. al. / Spiral Dynamics in Action: humanity’s master code

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

http://www.cruxcatalyst.com/2013/09/26/spiral-dynamics-a-way-of-understanding-human-nature/

https://www.biznews.com/good-hope-project/2017/09/04/understanding-spiral-dynamics

https://scottjeffrey.com/spiral-dynamics/

https://en.wikipedia.org/wiki/Integral_theory_(Ken_Wilber)

http://www.awaken.com/2014/04/ken-wilber-summary-of-spiral-dynamics-model/

[*11.41, *11.45]

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