The Naturalist

She was born a Natural.

Born when it wasn’t natural.

“Mathematics are the natural bent of my mind”
— Mary Somervillemarysomervillebyswinton

It was in her nature to be a scientist — damn the culture.

In fact, she was to become the first named scientist.  William Whewell, in his 1834 review of Somerville’s Connexion, coined the word “scientist” to describe Somerville.

Her mother taught her to read the Bible and Calvinist catechisms, and when not occupied with household chores Mary roamed among the birds and flowers in the garden.  In her autobiography Somerville recollects that after returning from sea her father said to her mother “This kind of life will never do, Mary must at least know how to write and keep accounts”. Thus the 10-year-old was sent for a year of tuition at Musselburgh, an expensive boarding school. Somerville learned the first principles of writing, rudimentary French and English grammar. Upon returning home, she:

“…was no longer amused in the gardens, but wandered about the country. When the tide was out I spent hours on the sands, looking at the star-fish and sea-urchins, or watching the children digging for sand-eels, cockles, and the spouting razor-fish. I made collections of shells, such as were cast ashore, some so small that they appeared like white specks, some so small that they appeared like white specks in patches of black sand. There was a small pier on the sands for shipping limestone brought from the coal mines inland. I was astonished to see the surface of these blocks of stone covered with beautiful impressions of what seemed to be leaves; how they got there I could not imagine, but I picked up the broken bits, and even large pieces, and brought them to my repository.”

Mary Somerville, Architect Rational, (1780-1872) was an innovative and talented science communicator, with an extraordinary (and mostly self taught) grasp of mathematics in an era when most women had no access to formal education. As a direct result of her work, calculus was introduced to the English speaking scientific world, the idea of physics (as a single subject containing topics such as optics, thermodynamics and astronomy) was invented, and the term “scientist” was coined to describe people who studied the various sciences.

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Only the self-educated and educated person is free.
David Mark Keirsey


“Without education we live within the narrow, dark and grimy walls of ignorance. Education, on the other hand, means emancipation. It means light and liberty. It means the uplifting of the soul of a human into the glorious light of truth, the light by which humans can only be made free. To deny education to any people is one of the greatest crimes against human nature. It is easy to deny them the means of freedom and the rightful pursuit of happiness and to defeat the very end of their being.”  — Frederick Douglass, –Blessings of Liberty and Education (1894).

Douglass, as an adolescent slave roaming the streets of Baltimore, Maryland would hunt for scattered newspapers, torn Bible pages, scanning broadsides, and generally searching for anything with reading matter.

He had a hunger for knowledge and learning.   For Frederick Douglass is a classical example of a Rational, more specifically what we call a Strategic Coordinating Rational: A FieldmarshalRationals are “the Knowledge-Seeking” Temperament.

Strategic Coordinators

Those Rationals who are quick to judge and to make schedules are eager to take the part of Coordinator. Coordinators determine who is to do what at a given time and place, and this role requires a directive character. Coordinators steadily increase in directiveness as they mature, such that they easily and comfortably command others and expect to be obeyed. Indeed, Coordinators are surprised by any resistance to their directives, because it is so clear to them that others do not know what to do, presumably because their goal is unclear or absent, and because they apparently have no strategy in mind by which to proceed. So, in the view of the Coordinator, most people are operating blindly and going around in circles, plainly in need of direction.

Fieldmarshals arrange a well-ordered hierarchy that makes possible the chain of command and the mobilizing of forces. In their campaigns these expressive, energetic Coordinators commandeer whatever human capabilities and material resources are available and use them to execute a complex strategy … Any kind of undertaking, whether commercial, educational, political, or military — whatever — can be arranged hierarchically, indeed must be if success is to be achieved, and the more efficient the hierarchy, the greater the success.  [Please Understand Me II]

Fieldmarshal Rationals include: Marvin MinskyTan LeMuriel SiebertJerry BussJohn AdamsIndra Nooyi, William Pitt, the YoungerEllen Sirleaf and Joyce Banda, and Margaret Thatcher.


Robert Rosen, Strategic Engineer: Architect, had a similar thirst for knowledge, but in a different way and of course, it was significantly different time, place, and circumstance, from Douglass.


When I was five or six, I was taken to see the Disney film “Fantasia”. I remember being mesmerized by the panoply of life through the eons, which the Disney cartoonists set to Stravinsky’s “Rite of Spring”. This was worth spending a lifetime with. Though I did not even know the word at the time, had already determined to become a Biologist.

By that age, I had long since learned not to ask complicated questions of the adults around me, either family or teachers, because they didn’t know. Although I had no idea then where they came from, books seemed more authoritative, so I began reading anything I could find dealing with life and the living. Unconsciously, I was casting about for information, not only about this life which fascinated me, but on how one best went about understanding it; information on how to be the kind of Biologist I increasingly aspired to be.”

Strategic Engineers

Engineers structure the form and function of the instruments to be employed in pursuing objectives, and is the domain of the probing Rationals, those who prefer to keep their options open and to follow an idea where it leads them. Concentrated as they are on determining the ways and means of operation, Engineers tend to have an informative rather than a directive character, which is to say that they are usually eager to provide information and reports regarding what they are currently engineering, but not at all eager to tell others what to do.

Architects make structural plans, models, blueprints. To these reserved Engineers, often working alone at their desks, drafting tables, and computers, the coherence of their designs is what counts, the elegance of their configurations, be they plans for a building, an experiment, a curriculum, or a weapon of war. [Please Understand Me II]

Architect Rationals include:  David Mark KeirseyJames MadisonSrinivasa RamanujanEmmy NoetherPaul DiracRobert RosenDavid West KeirseyAlbert EinsteinLonnie AthensDavid Bohm


He wrote many books.

Oliver Wolf Sacks, Strategic Engineer: Inventor, (9 July 1933 – 30 August 2015) was a British neurologist, naturalist, historian of science, and author. Born in Great Britain, and mostly educated there, he spent his career in the United States. He believed that the brain is the “most incredible thing in the universe.” He became widely known for writing best-selling case histories about both his patients’ and his own disorders and unusual experiences, with some of his books adapted for plays by major playwrights, feature films, animated short films, opera, dance, fine art, and musical works in the classical genre.

Beginning in 1970, Sacks wrote of his experience with neurological patients. Some of his 12 books have been translated into over 25 languages.

Inventors develop their skill in devising prototypes more than their skill in designing models. To these outgoing Engineers, functionality is the objective, as in the case of Nikola Tesla, the gifted inventor of the split-phase electric motor, the giant coil, alternating current, the radio, the inert gas light bulb, and countless other ingenious devices. Inventors must make sure their prototypes don’t just make sense on paper, but work in the real world, or else face the consequences.  [Please Understand Me II]

Inventor Rationals include: Atul GawandeLarry PageElaine MorganLynn MargulisElon MuskSteve JobsJoseph James SylvesterFrances CrickPaul AllenWerner Von BraunWolfgang PauliAbraham LincolnMark TwainHedy LamarrJulius Sumner Miller, and Zhang Xin


She titled her book, “Nomad.”

For that was her ancestral origins — misleadingly put as “her genetics”  —  supposedly her “inheritance” and her culture.

But she was different.  Something deep inside was different.

She had always read books, from the beginning as a child.


Ayaan Hirsi Ali, Strategic Coordinating Rational: Mastermind (born Ayaan Hirsi Magan, 13 November 1969) is a Somali-born Dutch-American activist, feminist, author, scholar and former politician. She received international attention as a critic of Islam and advocate for the rights and self-determination of Muslim women, actively opposing forced marriage, honor violence, child marriage and female genital mutilation.  She has founded an organization for the defense of women’s rights, the AHA Foundation.

Masterminds arrange things in coherent and comprehensive sequential order, that is, they coordinate operations by making efficient schedules, with each item entailing the next, as a necessary precursor or consequence. Moreover, Masterminds make contingency plans for keeping their schedules on track. If plan A is in jeopardy or is aborted, switch to plan B. If that doesn’t work, then plan C. Often working behind the scenes, these quiet, reserved Coordinators are able to anticipate nearly everything that can go awry and generate alternatives that are likely to avoid the fate that might befall the first operation. And so it goes, the Mastermind ending with a flow chart of alternate ways and means to reach clearly defined objectives.   [Please Understand Me II]

Mastermind Rationals include:  Andy GroveEd CatmullAyn RandSheryl WudunnSalman Khan,  Susan B AnthonyIssac NewtonSharon PresleyBill GatesMasha Gessen,  Ayaan Hirsi AliRosalind Franklin, and Ulysses S. Grant


He didn’t get it.

I was surprised, kinda.  But it made sense, why he didn’t think much of my suggestion.  In fact, in his seminar at UCIrvine Information and Computer Science department (as tactic to get MIT to give him a better offer as a tenured faculty member), he dismissed my “idea”, quickly, even though he had asked (obviously rhetorically, in hindsight) for suggestions as a kind of Socratic presentation tactic in his talk.

My mentioning of Kirchoff’s law as a parallel in regards into information flow, he thought irrelevant, and was rather dismissive.  But who was I, just a graduate student from a west coast Podunk U [which eventually was a key university in the development of the World Wide Web].  He was an assistant Professor from MIT, angling for tenure.


This time I understood.  Although I didn’t have a name for it at the time.  I just shut up.

Now, I call it eucaryotic hubrisWe all have it, in the area of our expertise and our vast areas of ignorance.

This time, I had had enough encounters with these kind of guys to not be in awe of them. I didn’t assume I was at fault in not understanding, and not smart enough it “get what they are promoting”.  They were just as ignorant as I was.

And, Stupid, as me.  So when I was watching one of Geoffrey Hinton’s youtube talks…


I had interacted this “professor” before, in that seminar.   And I had listened to some of his other conference talks, he is very very very smart and accomplished.  So smart, these days, he is a distinguished emeritus faculty member, at the institution he got his BS and PhD at.  He has never had to move out of Massachusetts, or MIT.  No, this guy wasn’t Marvin Minsky, but his student.  So when Hinton told his offhand story, about Professor Carl Hewitt, I had to laugh.  Deja vu, all over again.

“Indeed, in their later years (after finding out that most others are faking an understanding of the laws of nature), INTPs [Architect Rationals] are likely to think of themselves as the master organizers who must pit themselves against nature and society in an unending effort to create organization out of the raw materials of nature.” – Please Understand Me II,  Keirsey, David. Please Understand Me II (Kindle Locations 4099-4107). Prometheus Nemesis Book Company. Kindle Edition.

As scientists, we all are struggling with understanding:

Formatics: Precise Qualitative and Quantitative Comparison. Precise Analogy and Precise Metaphor: how does one do that, and what does one mean by these two phrases? This is an essay, in the form of an ebook, on the nature of reality, measure, modeling, reference, and reasoning in an effort to move towards the development of Comparative Science and Relational Complexity. In some sense, this ebook explores the involution and envolution of ideas, particularly focusing on mathematics and reality as two “opposing” and “fixed points” in that “very” abstract space. As Robert Rosen has implied there has been (and still is going on) a war in Science. Essentially you can view that war as a battle between the “formalists” and the “informalists” — but make no mistake the participants of this war are united against “nature” — both are interested in understanding the world and sometimes predicting what can and will happen, whether that be real or imagined. So… I will ask the questions, for example, of “what could one mean” precisely by the words: “in,” “out,” “large,” and “small.” The problem is both Science and Mathematics are imprecise — but this sentence contains fighting words and is impredicative, to say the least. In my father‘s terms, it is important to distinguish between order and organization, and understand the difference. Lastly, for now, the concepts and their relations, in the circle of ideas of “dimensions of time” and dimensions of energy along with the dimensions of space and dimensions of mass will be explicated, as I evolve (involute and envolute) this ebook. SO WHAT IS HE TALKING ABOUT? Let me try to explain.


Other Architect Rationals include:  James MadisonSrinivasa RamanujanEmmy NoetherPaul DiracRobert RosenDavid KeirseyAlbert EinsteinLonnie AthensDavid Bohm


Partitions: Exact Approximations

… there is something strange going on with Primes
Paul Erdös


Never mind the mock theta, Ramanujan’s gap, Namagiri dreams.


When Srinivasa Ramanujan wrote to G. H. Hardy in the 16th of January 1913, he had some remarkable formulas in that letter.  So remarkable are some of his formulas that mathematicians have been studying Ramanujan’s notebooks of formulas for new mathematical insights to this day, more than a hundred years later.
I beg to introduce myself to you as a clerk in the Accounts Department of the Port Trust Office at Madras… I have no University education but I have undergone the ordinary school course. After leaving school I have been employing the spare time at my disposal to work at Mathematics. I have not trodden through the conventional regular course which is followed in a University course, but I am striking out a new path for myself. I have made a special investigation of divergent series in general and the results I get are termed by the local mathematicians as “startling”. 
Hardy invited him to England because some of the formulas “had to be true, because no one could have the imagination to make them up”.   But there were no proofs.  However, when this poor vegetarian Indian Hindu came to England, eventually Hardy showed Ramanujan (thru Littlewood) that his formula on Primes was not EXACTLY correct. So Ramanujan had to bend to Hardy and work on his proofs of some of his formulas, so when they tackled the function of Partitions P(n), Ramanujan with the help of Hardy got to point where they “cracked” Partitions (and could prove it). They developed a direct formula that computed the number of partitions pretty accurately, and at the limit (infinity) it was “perfect” — and, could by truncating the number for high partition number to an integer could guarantee to be exact: since the number of partitions of integers is an whole number (i.e., the real number series “formula” converges with an deceasing error rate). Together they “cracked” the problem where neither man could do it alone. Ramanujan supplied the “intuition” (the finding of the hidden pattern) and Hardy provided the rigor to explain why the pattern is true.  The method they created, in this instance, was called the “circle method” — and it has been used ever since by numerous mathematicians for various other results.

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Alice Doesn’t Live Here Anymore

Walking through that door
Outside we came nowhere at all
Perhaps the answers here
Not there anymore

She brightens up when she sees me.  There is recognition.

But she sits down, she is tired.  It’s at the end of the day.   It was convenient for me to come at this time and I had established a routine of going to dinner just to get her out and something to do.  She is glad to see me, however, she fades in the chair.

“What are we doing?”

I say what we are doing.  Going to dinner.

Recognition flickers.

House of four doors
You’ll be lost now forever
House of four doors
Rest of life’s life forever
“You tired?”
“Want to rest for awhile?”
She sits back and rests, falls asleep.
Alice Doesn’t Live Here Anymore.

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Thanks, I needed that.

Seasons change with the scenery
Weaving time in a tapestry

I was surprised.

I was just eating lunch by myself in the cafeteria.  I am attentive, not expressive, kind of guy.  Besides this was the first time I was visiting MIT, as a part of Artificial Intelligence (AI) conference.  No, my SATs were not good enough to get into CalTech (or MIT), and I am a west coast guy, anyway.

But, lo and behold.  He sat down next to me.  Obviously, to strike up a conversation.

Marvin Minsky.

Ok, now I wasn’t a kid anymore.  I was industry-based AI researcher (Hughes Research Labs, HRL) working at the time on Autonomous Vehicle research.   Minsky didn’t know me, but, I knew a fair amount about him.

Marvin Minsky, full professor at the Massachusetts Institute of Technology, and “one of fathers of Artificial Intelligence”, came to my table clearly because he was curious.  Minsky, a Fieldmarshal Rational, had been very successful in promoting his graduate students to getting academic professorships across the lands. The list of his PhD students is more than impressive. He had government and university funding. MIT is a technological power house.  Money, People, and Companies have been flocking to MIT well before I was born.

I tried to make our conversation as interesting as I could.  Hey, Marvin was a legend in my field: Artificial Intelligence.

After about 5-10 minutes of conversation, me doing most of the talking about the autonomous vehicle project that I had been involved with, Marvin excuse himself, and wandered over to another table with a couple of people and joined in that conversation.

He didn’t get any useful out of me, in his mind, no doubt.
He moved on.

Thanks, I needed that.

I did get something useful out of the encounter.
A slow idea. But not a fast idea.  A hint on a part of an idea on how the world works.
It was a Kuhnian moment for me, I knew some things that Marvin couldn’t imagine.

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The Mouse Who Roared


They couldn’t catch her.

The White Mouse

Beneath her immaculate red fingernails, fur coats and love for gin and tonic, Ms Wake was a courageous and ruthless warrior.  General Dwight Eisenhower once said Wake alone was worth five army divisions.  “I have only one thing to say: I killed a lot of Germans, and I am only sorry I didn’t kill more,” Ms Wake famously said of her wartime exploits.

With a roar that makes both her name and nickname seem quaintly ironic this is Nancy at 89: “Somebody once asked me, ‘Have you ever been afraid?’ … Hah! I’ve never been afraid in my life.”

Nancy Grace Augusta Wake, Crafter Artisan, (30 August 1912 – 7 August 2011) served as a British agent during the later part of World War II. She became a leading figure in the maquis groups of the French Resistance and was one of the Allies’ most decorated servicewomen of the war. After the fall of France in 1940, she became a courier for the French Resistance and later joined the escape network of Captain Ian Garrow. By 1943, Wake was the Gestapo’s most wanted person, with a 5 million-franc price on her head.

After reaching Britain, Wake joined the Special Operations Executive. On the night of 29–30 April 1944, Wake was parachuted into the Auvergne, becoming a liaison between London and the local maquis group headed by Captain Henri Tardivat in the Forest of Tronçais. From April 1944 until the liberation of France, her 7,000+ maquisards fought 22,000 SS soldiers, causing 1,400 casualties, while taking only 100 themselves. [Wikipedia,revised]

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On the Question of Learning Words…

… and Tools.

“It is important to understand that the Four Temperaments are not simply arbitrary collections of characteristics, but spring from an interaction of the two basic dimensions of human behavior: our communication and our action, our words and our deeds, or, simply, what we say and what we do.” — David West Keirsey

My father died on July 30th, 2013 and I intend to honor him, if I can, by writing a blog about him and his ideas every year.  First year,  Second Year, Third Year, Fourth Year.david_west_keirsey_young_man

David West Keirsey (August 31, 1921 – July 31, 2013)

For last year’s words belong to last year’s language
and next year’s words await another voice.
— T.S. Eliot

He concentrated on them:  the use of words,

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An Odd Even Ode Log Rhythm

“There is geometry in the humming of the strings,
there is music in the spacing of the spheres.”
— Pythagoras

Find Structured Constant: A Ode to Wolfgang

in-form == 1

ex-form == 0

form == -1

Now Moufang it and Emmy ring it two. Make Lise Bind. Oh, Dedekind bother, it’s a unReal hard cut.

Never mind, Hilbert doesn’t bother. Such a Dehn mine-d vater.

MJ Golay to the re-scue, the Hamiltons and Hamming to rearrange and recode, the 23th Prime Poincaré to re-solder.


Two notes of the chord, that’s our poor scope,
And to reach the chord is our life’s hope.
And to name the chord is important to some,
So they give it a word, and the word is:


To Subquotient, or Not Subquotient,
That is the question!

The divisor status, of the lattice, oh my, Times, Rudvalis.

Crack the Dirac, Landau beseech the damp Leech.

It’s a Monster Conway Mesh, Mathieu‘s Stretch, Jacques‘ Mess, Janko‘s Sprains, and Einstein‘s Strain.

Never mind the mock theta, Ramanujan‘s gap, Namagiri dreams.

No Tegmark or Linde, but Verlinde in name. It’s all but Feynman‘s streams,
and weigh.

Such a Prime rank, any such Milnor‘s exotic sank.

No mess, no Stress, but Strain. Tensors Bohm and Bain.

It’s Held together. Dr. Keirsey is here to re-frame.

It Works! Much to lose and A Gain.

It’s Life Itself, More AND Less, a game.

Towards Quantum Formatics


Gravity is a discrete form process in context.

Quan-tum:  qua – “in the capacity of”,  quan -“shortening”, quant-ity – “amount

Form-atics: form – “shape“, atics – ending for making adjectives or nouns, reification

Quantum Formatics:  the study of discrete form processes within context: a wholistic physical in-formation and ex-formation theory.

How and Why the World Works.

General Relativity(GR) and Quantum Mechanics(QM) have been the most successful science enterprises ever.   Discovering phenomena like black holes, the tau particle, gravity waves, and predicting precisely the orbit of Mercury, bending of light, the Teller-Jahn effect, the electron neutrino, and countless other effects.

On the other hand,

“We can’t solve problems by using the same kind of thinking we used when we created them.” — attributed to Albert Einstein.

Intriguely, Eric Verlinde has proposed emergent gravity.  However, at this moment there seems to be no test that can include, preclude, or exclude his idea.  The concept of Gravity, whether emergent gravity, hoped for quantum gravity, implicit string theory gravity, or Einsteinian statistical gravity [in the form of General Relativity] essentially assumes some form of mathematical continuity, unspecified and under-defined.  Because there are at least six forms of continuity, for example, the following four: Continuously differentiable ⊆ Lipschitz continuousα-Hölder continuousuniformly continuous = continuous ; The real question becomes: which kinds of “continuity” is physically at the “quantum foam” levels?– and what are the relations between concepts (qualities) of various “spins”, “charges”, “spaces”, “energies”, “masses”, “distances”, and “forces”, with different kinds of “times”.

It seems clear that the present quantum mechanics is not in its final form. — Paul Dirac

Moreover, Quantum Mechanics (QM), using the crutch of Born-Schrödinger probabilities in the guise of Fermi-Dirac and Bose-Einstein statistics, is a very very very precise, but incomplete.  Although probabilistic unitary quadratic forms (a “real” scalar product or action of a linear functional on a vector in a complex vector space) can help in calculating measures, there is no “definite qualities”.    At the quantum levels, one does not have separable “qualities” — just postulated mixed measures denoted by “quantum numbers” and “probabilitic measures” in the form of “real” and/or “complex numbers”.

Adding the two statistical conceptions: GR and QM has not and will not work.   A non-statistical methodology is needed to Relate phenonema at the scales of large (GR) and the phenonema at the scales of small (QM).  That methodology needs Relational Forms Frameworks.

Information Momentum and Latent Exformation: On the Involution and Envolution of the Universe.



Re-Imagining, and Booking Thru Life

To be continued…

Other Architect Rationals include:  James MadisonSrinivasa RamanujanEmmy NoetherPaul DiracRobert RosenDavid KeirseyAlbert EinsteinLonnie AthensDavid Bohm