The Digital Sand Reckoner

To see a World in a Grain of Sand

And a Heaven in a Wild Flower
Hold Infinity in the palm of your hand
And Eternity in an hour

— William Blake

dave_grad_schoolarchimedes
New scientific ideas never spring from a communal body, however organized,
but rather from the head of an individually inspired researcher
who struggles with his problems in lonely thought and unites all his thought
on one single point which is his whole world for the moment.
Max Planck

elkies_power_five_formula

Connecting precise physical relationships between the finites and the infinites.

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Let’s be Reason-able

blind_justice

No state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any state deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection [opportunity] of [under] the laws. [14th Amendment of the American Constitution, modified by DMK]

“All I ask of our brethren is, that they will take their feet from off our necks, and permit us to stand upright on that ground …”  Sarah Grimke

The Notorious Chief Justice Ruth Bader Ginsburg

ruth_ginsburg

“Reacting in anger or annoyance will not advance one’s ability to persuade.”

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Bourdain

In the Heart of Darkness and Lightbourdain_congo_river

On June 8, 2013,  ‘Congo’ — Season 1, Episode 7 of Parts Unknown was aired on CNN.

“It is the most relentlessly fucked-over nation in the world, yet it has long been my dream to see Congo. And for my sins, I got my wish.” Bourdain starts the episode off on a dramatic note as he tries to recreate his favorite book, Heart of Darkness.

On June 8, 2018, he committed suicide while on location in France for Parts Unknown.  The suicide appeared to be an “impulsive act“.

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Slow Ideas

Comparative Science and Relational Complexity

We would debate for hours.

Over decades.

Only the educated and self-educated are free.

My father died on July 30th, 2013 and I intend to honor him, if I can, by writing a blog about him and the consequences of me integrating his ideas every year.  First year,  Second YearThird Year, Fourth Year, Fifth Year  This is the sixth year.

When I was young, my father would introduce and discuss, around the dinner table, the ideas of philosophers, scientists, and historians: like Adam Smith, Charles Darwin, Herbert Spencer, John Stuart Mill, Georg Hegel, William James, Arthur Schopenhauer, Bertrand Russell, Oswald Spengler, Will Durant, Ayn Rand, Milton Erickson, and Jay Haley, to name a few.

I had a question early on “How and Why does the World Work?” He had a more difficult question: “What are the long-term patterns of an ‘Individual’s Human Action?” He was clinical school psychologist, who was identifying deviant habits of children, parents, and teachers. He was developing techniques aimed at enabling them to abandon such habits. His methods of research and reasoning enabled him to evolve his ideas into a coherent system. His model of Human Temperament has helped many people to better understand themselves and others.

He was good at qualitative reasoning, wholistic thought: the Gestalt (despite [and because] of having lots of training in statistics). I became good at quantitative reasoning: conventional science and mathematics. Between the two of us, as we debated, I realized that there was a middle way, much more powerful than ad hoc wholistic reasoning or ad hoc atomistic reasoning, when they are used separately. The new middle way, The Slow Idea, is using Comparative Science and Relational Complexity in conjunction as fields of scientific endeavor using systematic qualitative and quantitative reasoning together. To some extent: (hard and soft) science, mathematics, and computer science are towers of Babel, not able to understand each other’s argot and considered irrelevant to other.

The idea ofSlow Ideas <=> Fast Ideas

The root of this idea appeared just recently, thanks to Atul Gawande. He and Matt Ridley noted that ideas operate very much in an evolutionary manner.

Fast Ideas and Slow Ideas

FAST IDEAS WORK

eventually, SLOW IDEAS WORK BETTER, and longer

Atul Gawande introduced the idea of slow and fast ideas with an example from the 19th century. The fast idea was anesthesia and the slow idea was antiseptics. To quote him:

“Why do some innovations [ideas] spread so swiftly and others so slowly? Consider the very different trajectories of surgical anesthesia and antiseptics, both of which were discovered in the nineteenth century.”

“The first public demonstration of anesthesia was in 1846…”

“The idea [anesthesia] spread like a contagion, travelling through letters, meetings, and periodicals. By mid-December, surgeons were administering ether to patients in Paris and London. By February, anesthesia had been used in almost all the capitals of Europe, and by June in most regions of the world.”

Antiseptics, on the other hand, was a slow idea. It took decades for antiseptics to accepted by doctors, who had no incentives to change their practices that didn’t help them immediately. Blood stained clothes was a sign of a experienced surgeon; and washing hands, sterilizing instruments, and keeping hospitals clean seemed unnecessary. Germ theory was dismissed by doctors because the “germs” were not readily observed. Miasma Theory still was used as an excuse to not change.

Hey buddy, can you spare a Para-digm?

“Science advances one funeral at a time.” — Max Planck

“The trouble with specialists is that they tend to think in grooves” — Elaine Morgan

Establishment science needs to protect themselves from quacks, but it also resists slow ideas that are not easily incorporated into the current fashionable (often fast) ideas. This is natural, this is the way evolution works. However, Kuhnian revolutions (as in Margulian-Darwinian evolution) are necessary in science to progress and leap across the Quantum Gap.

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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Form

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.

kirchoff_law_1

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…

carl_hewitt_stupid

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.

Formatics

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

Prime

Partitions: Exact Approximations

… there is something strange going on with Primes
Paul Erdös

champagne_bubbles

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

ramanujan_book

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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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.
Next.
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

Nancy_Wake

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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Gold and Diamonds

coin_crown

He did not want to do it, but he had to do his duty.

He wasn’t anything like his brother.

His brother was popular, handsome and witty, and well-spoken, and King.

Albert, wasn’t well spoken like his older brother, David  — in fact, Albert was considered rather dull compared to David —  Albert stuttered badly.

But,

All that is Gold, does not Glitter.

and She is Albert’s daughter.

It was evident from the start that Elizabeth Alexandra Mary was a dutiful daughter.

In Albert, King George VI‘s, reign characterized by war, social change and the beginnings of the dissolution of the British Empire, he was a successful king who raised the prestige of the monarchy, after he was propelled into the limelight, that he did not seek.  He left his daughter  Elizabeth, a stable throne and diamond studded Crown, but also a world heating up with a Cold War.

Diamonds are a girl’s best friend.

NETFLIX has a new British period drama series chronicling the Reign Queen Elizabeth II.

The Crown

Family, country, and duty is of prime importance to the Guardians.

 

It was evident from the start that Elizabeth Alexandra Mary was a dutiful daughter.

On her 21st birthday, before she was Queen, she had decided to pledge to do her duty: “I declare before you all that my whole life, whether it be long or short, shall be devoted to your service and the service of our great imperial family to which we all belong.”

Other Inspector Guardian blogs: Lily LedbetterTrust Me, The Real Iron Lady.