Rear Admiral Hopper was born on December 9, 1906 around midnight in New York, New York. She gave many contributions to computer programming, software development, and the design and implementation of programming languages including the invention of an English-language computer language called COBOL, the largest and most robust back end language ever implemented.

Goldsmith’s Revised Sabian Symbol for 28th degree of Virgo A bald-headed man interrupts the discussion at a political meeting and forcefully introduces a totally different way of framing the problem.

This degree means: Injecting new ideas into public discourse (argumentative); convincing others that one’s own way of framing the situation is the correct one; derailing a false line of thought or a misguided policy; thought-provoking opinions and probing questions that get people to a deeper level; orchestrating the affairs of a group-whether of a family, a rock band, or a business; wrangling agreement from others by using soft or hard sells (employ heavy sarcasm to stifle opposition; harshly critical); finding a consensus vs. redoubling one’s efforts when the balance of public opinion turns against one; assessing the validity of one’s point of view by the results it produces vs. refusing to reexamine one’s basic assumptions (dominate others intellectually, emotionally or physically).

The data is straight from Jones’ book, Sabian Symbols. Assagioli developed psychosynthesis that he felt had much in common with Jung’s archetypes. Read more here. He was born on February 28 1888 in Venice at around 8 o’clock in the morning. His ascendant is 23 Taurus, a jewelry shop with the keyword of Preservation.

A long time ago I read Gödel, Escher, Bach: An Eternal Golden Braid by Douglas Hofstadter and since then became a fan of this sensitive and gifted mathematician. I highly recommend the book and since we are closing down, I figured I get a few of my favorites in before then.

Kurt Friedrich Gödel (in English the umlaut becomes oe) was born April 28, 1906 in Brno Czech Republic to a Rudolf August Godel a businessman and Roman Catholic and a Protestant mother Marianne a well-educated woman but both ethnic Germans. Raised Protestant he was himself was a theistic Christian — belief in a personal Jesus without the sectarian divisions. His childhood was marred by one great event when he was around 4 and contracted rheumatic fever leaving his heart muscle permanently damaged. Older pictures of Herr Doktor Goedel (pronounced Ger-duhl) show a shrunken man with large looming eyes probably because of his heavy lenses.

A excellent student throughout primary school and later the Gymnasium, Goedel excelling especially in mathematics, languages and religion. Upon his graduation from the Gymnasium in Brno he enrolled in the University of Vienna, attending lectures on physics, his initial field of interest, philosophy by Heinrich Gomperz, and mathematics. by Hans Hahn.

The move to Maths

It was the later teacher that encouraged the change from physics to mathematics. His dissertation was the completeness theorem for first order logic (Gödel 1929) and joined the Vienna First Circle headed by Moritz Schlick ( a student of the Swiss physicist Max Planck — Godel was incredibly well connected). The group was known as “logical positivists,” after Herbert Feigl (then at University of Chicago) and Albert Blumberg 1931 paper “Logical positivism: A new movement in European philosophy”. Though Gödel was not a logical positivist, he found their companionship and discussions formative (Mercury in the 4th house).

Things turned sour when Hitler came to town. First his adviser Hans Hahn was killed for being a Jew and then Moritz Schlick was assassinated by an ex-student, same reason. Gödel was shattered that mathematicians could be considered an enemy of the state and had a nervous breakdown. While he received the “Dozentur neuer Ordnung,” (professor for the New Order) granted to candidates after they had been blood test for racial purity, and then tested in their field of study, he found the environment intolerable and was horrified that he had been classified as an “Aryan.”

Depressed that the Nazis were destroying what many considered a “second Athens” the intellectual capital of Europe — Vienna, — he worried too that leaving his intellectual homeland he would spend his life in barren wasteland devoid of liked minded scholars. It was that they were Germans, his own people, that plagued him and beyond even his ken of how this could have happened.

His wife Adele, a Russian ballerina, who had gotten him out of prison proving he was neither a homosexual nor a Jew, got them out of Vienna into the relative safety of Russia. It was a long (6380 miles) and arduous route via the Trans Siberian Railroad. Nonetheless, from Vladivostok,they picked up the Shanghai train and then a boat to San Francisco, nearly 10,000 miles from their Viennese start.

Welcome to America

Einstein who knew they were coming from messages from Freud in Vienna who himself was also in flight having paid a ransom to the Nazis for safe passage to London, telegraphed the pair he had secured Godel a post at the University; Godel believed it a hoax. Nonetheless, Kurt and Adele took buses and trains across America before ending up at a forlorn train station at Princeton Junction. There much to Gödel ‘s surprise they were met by their benefactor; stunned at seeing Einstein he colllapsed in his arms and mumbled, Danke Gott — they were safe.

Donald Ervin Knuth was born on January 10, 1938 in Milwaukee, Wisconsin. His father father ran a small printing press that also produced programs for the local Lutheran church. From this we can see that his father (Sun at 19 Capricorn 28) was a major influence in his professional life not only encouraging Professor Knuth in his s TeX and Metafont, digital typesetting programs, but his great Christian faith and love of the the organ.

While his two programs, still maintained, had niche appeal, it was his authorship of the Art of Computer Programming that is considered by most his standout accomplishment. That is because it literally lays out a graduate study program of computer science explaining the theories and algorithms that underpin back-office computing..

Laymen, non-technical readers, can enjoy Knuth in his 3:16 Bible Texts Illuminated where he examines the Bible by analyzing every book’s chapter 3, verse 16 (chosen because of the Gospel of St. John’s For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him shall not perish, but have everlasting life. (King James Bible Version) . Each verse is accompanied by calligraphic art, created under the guide of master typographer Hermann Zapf (his work was picked up by Adobe for a song and incorporated into their InDesign desktop publishing software).

Tidbits

Prof. Knuth’s hobby is the pipe organ. He originally learnt the piano as his father was also the Church organist, but graduated in high school to the organ. He is member of the American Guild of Organists since 1965. He gives many talks on books from the Bible at his church, the First Lutheran church of Palo Alto.

Alan Turing was born on June 23 1912 at 5:10 pm in London England. He was the son of a civil servant, and at educated a public school in England where his his genius in mathematics was apparent.

Enter the machine

At nineteen Turing entered the University of Cambridge, Cambridge England, graduating in 1934 with a fellowship at King’s College for his research in probability theory. His paper “On Computable Numbers, with an Application to the Entscheidungsproblem [ Decision Problem of Austrian mathematician Kurt Godel published in 1931 at the University of Vienna that itself was a response to David Hilbert’s papers in 1921. Hilbert was the founder of the “formalist” approach in Philosophy of Mathematics & advocated in 1921 that a researchers’ primary aim should be to establish mathematics on a solid and universal basis because of statements that could logically deduced because of their inherent truth. (“predicate” logic).

Alonzo Church at Princeton University, [Princeton, New Jersey] recommended Turing’s response despite his own published paper on the same topic and same conclusion because of Turing’s invention of the Turing machine to prove his conclusion. This machine (a reiterative logic machine similar in idea to the manual adding machine except that it reiteratively processed algorithms) is considered the forerunner of the “computer.”

Turing’s paper had an incredible effect on the scientific/mathematical community and he moved to Princeton for his Ph. D in mathematical logic under Church’s direction. He completed his studies in 1938 right before the outset of World War II.

Astrologically Turing

Turing is a Splay temperament type with a Grand Trine in Air (Gemini in the 12th, Uranus in the 8th and the Moon in the 5th). He has a preponderance of Quintiles in his chart — or the ability to create order and pattern out of nothing. Two others with this preponderance is Marc Edmund Jones and Professor Donald Knuth, a recipient of the A.C.M. Alan Turing Award — aka the Nobel Prize of Computer Science.

The quintile preponderance is found in people who have a a fascination with patterns and structures, tend to be perfectionists and who have a desire to build or make things. John Addey’s work on the 5th Harmonic was a major factor in exploring this zodiacal division first discovered by Johannes Kepler.

Footnote:

The RicR is the Richenda (Ricki) Reeves’ 165 aspect since what to call it is much debated — see Lynn Koiner and Philip Graves on their preferred names and a Qdec is Kepler’s 24 degree angle.

Our header picture of E. T. Bell is from the Constance Reid biography on him, taken when he was a freshman at Stanford, then a free college.

Bell was born February 7, 1883, Aberdeen, Aberdeenshire, Scotland and died December 21, 1960, Watsonville, Santa Cruz County, California. He emigrated to the United States in 1902 at the age of 19 and immediately enrolled at Stanford University, Palo Alto, California where after two years he earned his bachelor’s degree. Then there is a 4 year repast before he received he went to the University of Washington in 1908, even his biographer does not why he chose this school, and in 1 year received his masters. Another break, and another school. This time on the side of the country at Columbia University, New York City where in one more year he finished his doctorate.

Immediately after receiving his doctorate, Bell accepted a position back at his alma mater the University of Washington where he taught mathematics until 1926 when received an appointment as professor of mathematics at the California Institute of Technology, Pasadena, California.

During the intervening academic years, Bell married and tried his hand as a mule skinner, ranch hand, surveyor, and teacher. He and his wife had one son, Taine Temple Bell, M.D. From 1931 to 1933 he served as president of the Mathematical Association of America.

Dr. Bell is best known as the author of Men of Mathematics (still actively in print) but he also wrote Mathematics, Queen and Servant of Science (1951 and currently out of print) and a history of Fermat’s last theorem, The Last Problem (1961 out of print). This last book is interesting as it was 33 years later by Dr. Andrew Wiles with an assist from Richard Taylor that Fermat’s theorem was proved.

Bell was a published science fiction author, under the pen name of John Taine. His The Time Stream (1946 also out of print) was the most popular. . Basil Davenport, writing in The New York Times, said Taine was “one of the first real scientists to write science-fiction [and who] did much to bring it out of the interplanetary cops-and-robbers stage.”

Jerome Cardano’s astrological reckoning was the date I used to backtrack Marc Jones Martin Luther King scope, and I have been a fan ever since. Since we seem to hitting a lot of mathematicians this week, I thought I would add his for Cardano wrote Ars magna (The Great Art; or, The Rules of Algebra) a cornerstone in the history of algebra cementing his reputation as a great mathematician and then turned his hand to astrology (astronomy in his day). His biograph is here.

Pluto not discovered for another 400 years, tells the tale for Signore Cardano, who prophesized his own death and when the date arrived killed himself to make his accuracy true. Luke Broughton was another astrologer who played that trick. The key to Pluto is that it the ruler of Scorpio that is naturally found in the eighth house; here Pluto is accidentally exalted at that same point making this heady placement.

Marc Jones originally called Pluto “obsession” and then “probity” for its compelling curiosity to discover the dark abyss of Scorpio’s secrets. In this position, both seem to work as Pluto gives Cardano a morbid fascination with death and trying to outwit it. As good as an astrologer cum mathematician Cardano was, he ignored his own reductionist psyche and fell into Pluto’s, the god god of the Underworld. nihilistic spell. Unable to confront that he was not the supreme gambler he thought, he forfeited the game: Cardano 0, Pluto 1.

René Descartes was a philosopher whose work, La Géométrie, which proves Pythagorean mathematics for without proof, it’s all theory.

Descartes’s brilliance was proving via algebra that geometry was a valid branch of mathematics. He was the first son, and third child to Joachim Descartes (1563-1640) and Jeanne Brochard (1566-1597). Joachim, the son of the medical doctor Pierre Descartes (1515-1566), who studied law and was a counselor in the Parliament of Brittany at Rennes. Jeanne was the daughter of the military man René Brochard (for whom her son was named) who was part of the garrison stationed at Poitiers. To read more about the man, go here; better yet, read the book.

Footnotes:

Bell, Eric Temple Ph.D Men of Mathematics, New York: Simon & Schuster, 1937, 529 pp.

This is an excellent review of 34 of the greatest mathematicians from the ancient Greece to the end of the 19th century complete with biographies and a discussion of their work. Highly recommended.

On Fibonacci Day, November 23rd, Science Magazine published a bio on a modern mathematician who utilized the Fibonacci series to uncover how to solve Formalist David Hilbert’s 10th problem. International Fibonacci day itself is a annual celebration that honors one of the most influential mathematicians of the Middle Ages – Leonardo Fibonacci of Pisa.

Fibonacci was a medieval Italian mathematician who wrote Liber abaci (1202; “Book of the Abacus”), the first European work on Indian and Arabian mathematics. He discovered an intrinsic and self-evident algorithm that appears throughout nature called in his honor the Fibonacci Series. We have no hard dates on Signore Fibonacci and so cannot do a chart but we know it would be spectacular.

Microsoft’s Bing search engine also celebrated Fibo Day with a shot of an agave and a quiz.

What a fibonacci number

A Fibonacci sequence starts with 1, 2, 3, 5, 8, 13, 21, 34, 55 (Fibonacci himself omitted the first term) and goes on with each number in the sequence being the sum of the two preceding numbers, (i.e. 1+2 =3, 3+2 =5 and so on). It is a recursive number sequence because to go forward you must go back (sort of like back stitch in embroidery).

The Fibonacci numbers are also exemplified by the botanical phenomenon known as phyllotaxis where the whorls on a pinecone , pineapple, or petals on a sunflower follow a sequence of Fibonacci numbers or the series of fractions

Back to Julia

Julia Robinson wanted to know the answer to Hilbert’s 10th problem and though she did work on it, she did not find the answer. Just after her 50th birthday, the twenty two year old Soviet mathematician Yuri Matiyasevich announced that he had solved the problem and gave her the nod for helping in the solution. The key was in her early papers that showed how to algorithmically compute functions (also called the recursive functions) that map the natural numbers into themselves.

One of the initial functions is just the successor function S(x)= x+1. The other, which Robinson calls E, is defined as the difference between a given number and the largest perfect square that does not exceed it. (Thus E(19) = 19 – 16 = 3 and E(25) = 25 -25 = 0.)

The three operations are as follows:

(1) from given functions F and G obtain the function H(x)=F(G(x));

(2) from given functions F and G obtain the function H(x)=F(x) + G(x); and

(3) from a given function F whose values include all natural numbers obtain the function H where H(x) is the least number t for which F(t)=x.

from her paper which uses not only the Fibo sequence but the Turing wheel for support.

Julia was born on December 8 1919 in Saint Louis, Missouri to Ralph Bowers Bowman and Helen Bowman who died when Julia was two. Her father remarried and moved the family out to California where Julia got both rheumatic and scarlet fever. In 1936, Robinson entered San Diego State University at the age but transferred to UCal Berkeley in 1939 where she met Raphael M. Robinson, her mentor and later husband. Her specialty was game theory and she was the first female mathematician to be elected to the National Academy of Sciences.

Her Ascendant is 28 Scorpio, [HS] a book about memory techniques or the ability to bring into being a state of accord a system. Her Moon is incredibly fast at 15.07 and then while her Mercury is just 4 degrees away, it is in another sign at 03 Sagittarius 21, making it unfettered. Thankfully her Mercury is also retrograde giving Mrs. Robinson the ability to jump forward in her thought process and visualize what she was looking for, and then be able to trace that process back and write it in mathematical notation. We have not run into this configuration previously.

Footnotes:

I saw this article in Science News and was struck by her. I thought this was a chart was ought to do, so I did.

Julia’s sister, Constance Reid, wrote a biography on both Julia and German mathematician David Hilbert.

Charles DuBois Coryell was born on February 21, 1912 at 6:45 am in Los Angeles, according to CC Zain who lists him as one of his notables. Dr. Coyrell was an American chemist and a co-discoverer of the element promethium, a building block for the nuclear reactor. Coryell earned a Ph.D at California Institute of Technology in 1935 shortly after the discovery the Pluto in 1930. During the late 1930s he engaged in research on the structure of hemoglobin in association with Linus Pauling.

He also taught at UCLA before 1942 In 1942 he accepted a position in the Manhattan Project, for which he was Chief of the Fission Products Section, both at the University of Chicago (1942–1946) and at Clinton Laboratories (now Oak Ridge National Laboratory) in Oak Ridge, Tennessee (1943–1946) His group had responsibility for characterizing radioactive isotopes created by the fission of uranium and for developing a process for chemical separation of plutonium.

Manhattan Project & Beyond

In 1945 he was a member of the Clinton Laboratories team, with Jacob Marinsky and Lawrence E. Glendenin, that isolated the previously undocumented rare-earth element Marinsky and Glendenin produced this element (later named “promethium”) both by extraction from fission products and by bombarding neodymium with neutrons. The team isolated promethium via ion-exchange chromatography, a buffering technique used in biomolecule purification. It separates the molecules on the basis of their charge by exploiting the interaction of them to the buffering agent in reiterative cycles until they isolate their preferred one.

Publication of the finding was delayed until later due to the war. Marinsky and Glendenin announced the discovery at a meeting of the American Chemical Society in September 1947. Upon the suggestion of Grace Mary, Coryell’s wife, the team named the new element for the mythical Prometheus, who stole fire from the gods and was punished for the act by Zeus instead of “clintonium” for the facility where it was isolated.

Dr. Coryell won the Atomic Energy Commission’s citation and medal for advancement in nuclear chemistry in 1970. and was a consultant of the commission laboratories since 1946.

In 1960 he won the American Chemical Society’s award for nuclear applications in chemistry. In his award address, he said that all the heavy chemical elements in the solar system were born in the death throes of at least one star that exploded more than five billion years ago.

Scoping out Coryell’s Chart

Dr. Coryell is a Jupiter Bucket in the 10th house with his Sun partile his Ascendant at 03 Pisces, two angels bringing protection to mankind (just like Prometheus did with fire) highlighting how he was able to make his dreams an effective reality. his North Node in Aries, makes him lucky in love, as his marriage to Grace Mary testifies, and a desire to assert his dreams and convictions. Neptune in his 5th house suggests that he and Mrs. Coryell were well suited and “made” for one another.