Mary Fairfax Somerville – Mathematics by Candlelight

Mary Fairfax Somerville, c. 1834, by Thomas Phillips
Mary Fairfax Somerville, c. 1834, by Thomas Phillips (source)

“I was annoyed that my turn for reading was so much disapproved of, and thought it unjust that women should have been given a desire for knowledge if it were wrong to acquire it.”

Mary Fairfax Somerville

The 17th and 18th century women mathematicians and scientists that we’ve looked at so far have been accepted into intellectual circles. Their intelligence and works were recognized and in Italy they were even allowed to teach. They were accepted that is, once they got there. Maria Agnesi, Emilie du Chatelet, and Laura Bassi all had one advantage – parents, or at least fathers, that indulged their intellectual curiosity and gave them the education they craved. Mary Fairfax Somerville did not have this advantage.

As a young girl, Mary Fairfax, born in Jedburgh, Scotland on December 26, 1780, was by her own admission a “wild creature.” Her father, a Vice Admiral in the British Navy, was away from home for long periods of time and her mother was quite permissive. With the exception of learning to read the Bible, the catechism, and daily prayers, she received no academic lessons. She was taught “useful” skills, how to care for the garden, preserve fruit, tend the chickens and cows, tasks reserved for the women of the household. Apart from these chores, there were few demands made on her time, so she would roam the countryside and seashore near her home in Burntisland, Scotland observing sea creatures and birds, collecting things, and learning the names of the plants around her home. At night, the stars she could see from her window held equal fascination.

When she was about nine years old, this carefree existence came to an end when her father returned from a long voyage to learn that Mary’s reading skills were minimal and she couldn’t write. At least the basics were expected of young women, so Mary was sent to a school run by Miss Primrose. In spite of her intellectual curiosity, Mary didn’t fair well at the school where she was expected to prepare lessons laced into stiff stays and steel busks designed to improve her posture. The teaching techniques focused on memorization including pages from the dictionary and gave little room for curiosity or critical thinking.  After one year at the school, she returned home and continued her wandering existence, but at least she had increased reading skills that allowed her to enjoy a small number of books in their home. Mary’s only other formal education was a year spent in a local school where she learned to “write a good hand”, basic arithmetic, and the womanly arts of needlework, painting, music, etc.

Mary’s interest in mathematics was piqued by a couple of chance encounters. Once during a party she was paging through a women’s magazine and came across a puzzle. When she looked at the answer it had x’s and y’s in the solution. Curious, she asked a friend who told her that it was something called algebra, but she couldn’t tell her what it was. The second conversation that would set the stage for her life long interest was an overheard conversation between a painting instructor and a male student. The instructor told him that he should study Euclid’s The Elements about geometry to better understand perspective.

Now Mary knew the names of two things she wanted to study, algebra and geometry, but how could she get the required books? To do this she conspired with her brother’s tutor. His skills were limited, but he agreed to obtain books for her and demonstrate the first problems in The Elements. She was on her way! Each night after the rest of the household retired, Mary would study mathematics by candlelight. But then the candle supply started to diminish and it was noticed.

For many people during this time, keeping women away from intellectual pursuits wasn’t just a matter of propriety. Some people believed that women’s minds couldn’t handle it and it would drive them crazy, or that mental exertion would take away from their ability to have children. In essence, that they had a “delicate constitution” that had to be protected. In her recollections of childhood, Mary recalls her father saying, “Peg, we must put a stop to this, or we shall have Mary in a straight-jacket one of these days. There was X who went raving mad about the longitude.” So when her parents discovered that she was studying at night, the servants were instructed to take away her candles. However, at this point she had already progressed through the first six books of Euclid, so she depended on her memory and worked through the problems in her mind each night until she knew them thoroughly.

In 1804, Mary was married to a distant cousin, Samuel Greig. Although not interested himself, it seems that Greig tolerated Mary’s intellectual interests, but the marriage was short-lived. Greig died in 1807 leaving Mary with two boys and a small inheritance. She returned to her parent’s home, but her inheritance gave her an independence that allowed her to continue her studies. She began reading The Mathematical Repository, a journal which aimed at exposing the general public to some of the new developments in mathematics. Through the journal, she began a correspondence with William Wallace a professor at the University of Edinburgh. Wallace provided Mary with a list of important books on mathematics and science, and she began to accumulate a library.

Mary’s second marriage to another cousin, Dr. William Somerville, inspector of the Army Medical Board, was completely different. Dr. Somerville didn’t just tolerate Mary’s interests, he encouraged them. Together they raised a family, traveled, collected specimens, and associated with some of the greatest scientists and mathematicians of the day. They would remain together for the rest of their lives.

Mary’s first work was published in the Philosophical Transactions of the Royal Society of London and titled “On the Magnetizing Power of the More Refrangible Solar Rays.” Although she was not a member of the Society at the time (1826) and her paper had to be presented by her husband, it attracted the attention of Lord Brougham, of the Society for the Diffusion of Useful Knowledge. He commissioned her to write what would become probably her greatest and most well-known work, a translation of Laplace’s Mécanique Céleste.  The purpose of the Society of the Diffusion of Useful Knowledge was to make new scientific discoveries accessible to the general public that might not have the educational background to read the original documents. As it turned out Mary had a gift for this type of writing.

Mary had studied Laplace’s work, but being largely self-taught and having doubts about her ability to do it justice, she extracted a promise from Lord Brougham and her husband that if it wasn’t sufficient it would be burned. She spent the next four to five years working on it and when it was complete it was much more than Lord Brougham needed. Her introduction alone met his needs and was published separately, but the entire work was published as The Mechanism of the Heavens and became a favorite among students at Cambridge. She had a gift of being able to communicate in clear, concise terms, complicated subjects, translating as she said “algebra into English.” Her later works include On the Connection of the Physical Sciences published in 1846, Physical Geography in 1848, and Molecular and Microscopic Science in 1860.

Mary Somerville continued writing for the rest of her long life. She died in Naples, Italy on November 28, 1872. Her legacy is one of excellently written scientific books that continued in use for many years, but also one of what a woman can do when she has a drive to do it. As she said herself it is indeed “unjust that women should have been given a desire for knowledge if it were wrong to acquire it.”

Resources
Personal Recollections from Early Life to Old Age of Mary Somerville by Martha Somerville
Women in Mathematics by Lynn Osen
Notable Women in Mathematics edited by Charlene Morrow and Teri Perl

Read about other Famous Women Mathematicians and Scientists.

Carrie Nation – Saintly or Insane?

“When I first started out in this crusade, I was called crazy and a ‘freak’ by my enemies, but now they say: ’No, Carry Nation, you are not crazy, but you are sharp. You started out to accomplish something and you did. You are a grafter. It is the money you are after.”

Carry A. Nation

Carrie Nation (also spelled Carry) is usually portrayed with a hatchet in her hand. She is best known for marching into saloons, declaring that she was there to save people from the evil of drink, and proceeding to smash anything breakable in the establishment. She never showed any remorse for this destruction of property, although she did pay the fines that were a result of her arrests. In fact, when she was initially charged with “defacing public property”, she stated that she had not defaced it, but destroyed it. Carrie believed that she was doing God’s work and she was good at it.

Born Carrie Amelia Moore in Kentucky on November, 25 1846, she had an inconsistent childhood. At the beginning of her autobiography she describes what seems like a happy childhood, but her memories are not all happy. She suffered from poor health and the family had financial setbacks. At least one source says that Carrie’s mother suffered from delusions. She doesn’t discuss this in her book. In fact, she doesn’t say much about her mother at all. She was often left in the care of Betsy, one of the family’s slaves or would stay with the other slaves watching them spin the flax that was grown on the farm.

Carrie was a serious child and interested in religion from an early age. When she was 10 years old, she attended a church meeting with her father. Afterward during the invitation she “began to weep bitterly” and felt compelled to go forward. “I could not have told anyone what I wept for, except it was a longing to be better.”  The next day she was baptized and emerged from the water without saying a word. “I felt that I couldn’t speak, for fear of disturbing the peace that passeth understanding.”

Although Carrie was young when she was baptized, she didn’t simply take on the theology of others. As an avid reader of many different things (poetry, history, Josephus, mythology, etc.), she devoted herself to reading and understanding the Bible as well. She had “doubts as to whether the Bible was the work of God or man” and thought “It often seemed to be a contradiction.” In spite of this she studied it diligently and ultimately used the Bible as the justification for her actions against the sale of alcohol.

In 1855, the family moved from Kentucky to Missouri just before the breakout of hostilities between Kansas and Missouri over slavery. When the Civil War broke out, they moved to Texas with their slaves, but left them there and returned to Missouri. Carrie spent time nursing soldiers and felt that the experience was something that all young women should do. The thought of not being useful was anathema to her. Throughout her life she would look for ways to help those less fortunate than she.

One group of people that Carrie would work to help and which she related to strongly were wives and children of alcoholics. She didn’t just oppose alcohol based on theological reasons. She was intimately acquainted with the damage it could do to a family. In the 1860s, Carrie fell in love with Dr. Charles Gloyd. Charles was teaching school, saving money to begin his medical practice, and boarded with the Moore family. Carrie’s parents disapproved of the match because of Gloyd’s drinking so Carrie and Charles would communicate by leaving notes in his copy of Shakespeare. Eventually they went ahead and were married in November of 1867.

It wasn’t long before Charles’ drinking became a problem, so when Carrie became pregnant she moved back to her parent’s home. She had strong feelings about children inheriting alcoholism or other negative traits, but it’s not clear in her autobiography whether or not she really means traits that are passed on or just exposure to a negative atmosphere and negative thoughts from the mother. She gave birth to a daughter, Charlien, in September of 1868 just six months before Charles died.

Throughout her life Carrie would give much of her money to those less fortunate than she, but at this time her focus had to be on supporting herself, Charlien, and her mother-in-law. Although she taught school until she was dismissed over a disagreement with the board, it was difficult for a woman to support herself alone during this time and Carrie finally decided to pray for a husband. She soon met David Nation and they married in 1874. From the time they were married until 1889 they did a variety of things to support themselves without success including the purchase of a cotton plantation in Texas. David worked as an attorney, minister, and newspaper editor. In 1889, the family moved to Medicine Lodge, Kansas where Carrie ran a hotel. This is where she began her work against the sale of alcohol.

Although prohibition would not become the law of the land until 1919, some states already had such laws on the books, including Kansas. Just as the national ban on the sale of alcohol gave rise to widespread corruption, so did the ban in Kansas. This was particularly egregious to Carrie. She saw alcoholics, the families of alcoholics, and prostitutes associated with saloons, as victims. The real offenders in her mind were those who would take advantage of the weakness for drink. This included not only those who sold alcohol, but those in politics and law enforcement who turned a blind eye and of course received payment for this service.

Carrie began her work by campaigning for the enforcement of the Kansas laws. She petitioned politicians and law enforcement. She organized a branch of the Women’s Christian Temperance Union, and she would kneel outside saloons singing hymns and praying, often with other women. This proved largely ineffective and I’m sure was very frustrating. On June 5, 1899, Carrie was praying for guidance when she heard God speak to her saying “Go to Kiowa. I’ll stand by you.” Over the next couple of days she gathered large rocks and wrapped them in paper. On June 7, she went to Kiowa and beginning with Dobson’s saloon, began “smashing.” Before long she began using a hatchet and calling these events “hatchetations.”

Carrie had seen visions before so the idea that God would appear to her and give her direction didn’t surprise her and neither did the “demons” she saw on the road barring her way when she set out for Kiowa. She found support for the idea of smashing from the story of Jesus throwing the money lenders out of the temple as well as other biblical stories of destruction in the name of God. She believed that she had a mission from God. At some point she began spelling her name Carry A. Nation and saw her mission as one to “carry a nation.”

Much of Carrie’s autobiography is spent using the Bible to justify her actions. She didn’t avoid the consequences and was jailed as many as 30 times, but she was certainly not remorseful. She would do her time and pay her fine. She raised money through speaking fees and the sale of souvenir hatchets. There were people who thought she was crazy and more than once she believed she was being held in jail while people tried to find evidence to support this claim.

Both the term saint and insane, at least in the colloquial sense, are subjective. Among other religious people of the day, opinions ran the gamut from those who wholeheartedly agreed and even participated with her, to those who were against prohibition. Some must have seen her as a “martyr” for the cause, willing to endure the humiliation of ridicule and imprisonment in order to get the message out, but this was hardly a universal view even among the religious. On the other hand, religious delusions are certainly not unheard of among the mentally ill. And while many people consider anyone who believes God speaks to them as mentally unstable, much of what Carrie describes and the way she uses the Bible can be seen and heard in churches today.

Reading Carrie’s account and justification of her actions it sounds reasonable, if you start from her assumptions. If you don’t believe that God speaks to people or intervenes in the events of the day it is difficult to see her as rational, but then you must include a lot of other people (even today) in the same category. This is certainly a question that is much bigger than any one person and will endure for generations to come if not as long as we inhabit the planet.

As far as Carry A. Nation is concerned, I don’t see her as “insane” or “crazy” in any real clinical sense nor would I call her a saint. In fact, I’m not sure the question is fair framed in such black and white terms. Given her religious experiences as a child and young adult and her experiences with alcoholism in her first marriage, I think in many ways her response is very rational. Although, many people with similar backgrounds would never take it to that extreme. Admittedly, this is based on a very one-sided account, her own. I would love to hear your opinions on this or other information that you may have. Please comment.

Resource: The Use and the Need of Carry A. Nation by Carry A. Nation (in the public domain)

National Women’s History Museum

“If society will not admit of woman’s free development, then society must be remodeled.”

Elizabeth Blackwell (1821-1910),
the first U.S. female medical doctor

From time to time, beginning with Christine de Pizan in 1405, women’s history has been researched and written about, then lost. The National Women’s History Museum is hoping to change that. Currently, it exists only on line, but the effort is being made now to establish a brick and mortar museum in Washington, DC. The funds are being raised privately, but the location must be approved by Congress. Meryl Streep has thrown her support to the cause both financially and by participating in fundraising efforts.

I wasn’t aware of the project or the online museum until today, but I like what I see. Some of the exhibits include

  • First But Not Last: Women Who Ran For President
  • Clandestine Women: Spies in American History
  • Latinas in the New World
  • Chinese American Women: A History of Resilence and Resistance
  • Claiming Their Citizenship: African American Women From 1624 – 2009
  • Profiles in Motherhood

There is even an exhibit researched and written by teenagers with Girls Learn International, Inc. It highlights young women who are worthy role models. I admit I have only heard of 6 of the 30 young women listed. That’s actually embarrassing, but probably not surprising.

History is typically taught from an event perspective, or what I would call a top down approach with everything revolving around world wars, presidents, discovery of America, etc. There is really far too much valuable information to squeeze into the curriculum as it is. And of course, history keeps happening. Creative teachers find ways to inject additional information into the curriculum, but they might not even know about many of the women mentioned here. (Keep in mind, I was a math/science teacher not a history teacher.)

I think this resource could be very valuable to teachers and parents alike who want their students/children to have a more balanced perspective on history and women’s contributions to it. After all, we are half of the population and have made great contributions throughout history whether they have been highlighted or not.

For example, I knew about Victoria Woodhull, who announced her candidacy for president in 1870. Unfortunately for her, she wasn’t even old enough to take office and was actually in jail on election day. But I had never heard of Belva Lockwood (shown on the left) who ran for president on the National Equal Rights Party ticket in 1884. She was a lawyer who won the right for women to argue cases before the US Supreme Court. Only receiving 4000 votes, she wasn’t discouraged and ran again in 1888. Remember in 1884 women couldn’t even vote in most of the US. The 19th amendment allowing all US women citizens to vote wouldn’t happen until 1920.

There is a lot to learn at this site and I’m sure more is coming. Check it out. I bet you’ll like what you see. Let me know what you think and what you learned from it.

Sonya Kovalevsky – A Marriage of Convenience

Sonya Kovalevsky in 1880, photographer unknown (source)
Sonya Kovalevsky in 1880, photographer unknown (source)

“Ask him to marry one of us?  You’re crazy,” said Inez.

“It’s the perfect solution”, replied Sonya’s sister Anna.  “A lot of people are doing it.  Women can’t study in Russia.  At least the aristocracy can’t. It’s considered improper,” as she rolled her eyes.  “But married women can travel.”

“And?”

“Don’t you see? If one of us gets married, we can both travel to a foreign university to study.  When we get there he can go his own way.  Strictly a marriage of convenience!”

So the conversation might have gone, in the winter of 1867 in St. Petersburg, Russia.  Anna Krukovsky, her sister Sonya, and their friend Inez wanted to be a part of the new revolution among Russia’s young people.  They wanted to see freedom, progress, and a rise in the standard of education for women in their country.  In the 1860s and 70s, quite a few young Russian women among the aristocracy were leaving their parents homes to study.  They did this by marrying young men of like mind, going abroad to study, and then going their separate ways.

Sonya, born in January of 1850 in Russia, was the daughter of Vasily Korvin-Krukovsky and Yelizaveta Shubert both well educated members of the Russian aristocracy.  But, they, like most of us, were products of their own time. This dictated that girls were educated in the home and only in certain subjects. Sonya was raised, primarily, by a nursery maids and governesses.  The first governess that she recalls in her fictionalized autobiography of her childhood, The Sister’s Rajevsky, was the “abominable French woman.” This woman was sent away when it was discovered that Anna could barely read.  She was replaced by a Russian woman who had been living in England and had completely absorbed the English way of life. She brought a much needed discipline into the household.  Under this new governess, Sonya discovered her affinity for science and mathematics.  Her uncle, Pyotr Vasilievich Krukovsky , spoke about mathematics and it is said that the walls of her bedroom were papered with pages from a book on differential and integral calculus. Even though she didn’t have the background to understand it at the time, mathematics captured Sonya’s imagination. What she learned, however, was strictly controlled in the household.  It had to be “proper” for a young woman.

Anna Jaclard, Sonya's sister, before 1887, artist unknown (source)
Anna Jaclard, Sonya’s sister, before 1887, artist unknown (source)

Anna had a flair for literature and had defied the conventions by sending a couple of her stories to St. Petersburg to the attention of Fyodor Dostoyevsky.  They had been published and she had been paid.  Unfortunately, her father was the first to go through the post on the day her payment arrived, addressed to the housekeeper.  He insisted that the housekeeper open it in front of him and explain.  Anna was caught.  Her father felt betrayed and humiliated, and for a time refused to speak to Anna.

The girls began to work on their mother and eventually were able to convince their parents to hear one of the stories.  This resulted in a slight relaxing of restrictions.  Anna was allowed to correspond with Dostoyevsky, and they were allowed to order books on various topics.  Due to the influence of one of her father’s friends, a tutor was retained to teach Sonya science and mathematics, although, her father still considered it to be an “unusual and unfeminine” area of study.  Sonya flourished, but soon reached the extent of what her tutor could teach her. When Sonya began to hint at her desire to go abroad to study her father drew the line and refused to even consider it.

It was after this, during a winter in St. Petersburg, that the girls began their plotting.  The girls first approached a young man of the aristocracy with their proposal.  He was a young professor at the university and surely would understand.  He politely refused, but was sympathetic to their cause and didn’t expose them.  This rejection didn’t stifle the girls’ enthusiasm for the idea.  There don’t seem to be any romantic ideals attached to the idea. In their minds the proposal was strictly a matter of practicality and therefore the girls didn’t take the rejection personally.

While in their village Palibino, they had made the acquaintance of a young student.  The son of the vicar, Vladimir Kovalevsky was a serious young man who studied archeology and geology at the university and wanted to continue his studies in Germany. He had a disagreement with his father over a number of things, including his involvement with the young people in the new movement in St. Petersburg.  Because of this, he had moved out of his home, and into a small rented room in the city.  In discussing their circle of friends, they decided that Vladimir might be a likely candidate for their plan.

There were many opportunities for the young people to socialize under supervision, so the girls were able to get to know Vladimir.  They decided that he would be perfect for their marriage scheme.  The three of them approached him at a casual gathering in a friend’s house.  To their surprise, he agreed, with one change in the plan.  He wanted to marry Sonya.

Although Sonya had often felt unloved, all indications are that the Krukovsky parents loved their children though they may have been somewhat removed. They had been persuaded to allow Anna to write for publication and Sonya to study “unfeminine” subjects, but they were in many ways very conventional. Vladimir was young, but of good birth with a promising career ahead of him, so he would probably have been accepted as a match for Anna. She was 23 at the time, an age where she was a little old to be unmarried. However, Sonya was only 17 and of course the expectation was that the older daughter should be married first. Their father flatly refused to consider the match.

The girls were so determined that Sonya decided to force her father’s hand. One evening when the household was busy preparing for a dinner party and both of the girl’s parents had gone out in the afternoon, Sonya dressed for dinner and slipped out of the house without being seen.  She went to Vladimir’s room where he was waiting for her.  They waited anxiously for footsteps in the hallway, knowing it wouldn’t take long.  Sonya had left a note for her parents.  She asked them to forgive her, but to understand that this was what she wanted.  She knew that it would be humiliating for them, and that being found alone with Vladimir would require their marriage.

At home, Sonya’s parents had arrived late as expected.  When the guests had assembled and the table was set, they noticed that Sonya was missing.  Anna told them that she had gone out, and there was a note on her dressing table.  After reading the note, their father said nothing, but left the house.  When he returned he introduced Sonya’s fiancé to the guests.

The marriage proceeded as planned.  The young couple lived in St. Petersburg for six months until Vladimir finished his studies, then moved on to Heidelberg, Germany.  Here Sonya was able to study with celebrated mathematicians and scientists of the day.  Anna and Inez both eventually joined them.  They were able to travel and meet many well-known people, authors as well as scientists.

In her biography of Sonya, Anna Carlotta Leffler describes Sonya as a person who demanded a lot from her close friends and acquaintances. She tended to be jealous of other people and the things in their lives, even of her husband’s work. She says of Sonya that “Her own individuality was far too pronounced to allow her to live in harmony with others.” Sonya threw herself wholeheartedly into new activities such as dancing and horseback riding and gave this same devotion to writing literature and her study of mathematics. This devotion allowed her to become the first woman to be a member of the Russian Academy of Science and the first European woman to become a full professor at a university. This appointment was privately funded at the University of Sweden in 1884.

Although it began as a marriage of convenience with separate living arrangements, Sonya and Vladimir developed a close relationship.  They would often walk and talk all day.  Eventually, Anna moved to Paris and Inez moved on, leaving the couple alone.  They shared great intelligence and devotion to their work.  Later, they shared great devotion to their daughter, Foufi.  Unfortunately, their life together was short.  Vladimir died, Foufi was left with friends in St. Petersburg, and Sonya was alone.  She would spend most of the rest of her life this way.  To her friends, she seemed to always be searching for something.  Perhaps for the acceptance and love that she didn’t feel as a child, and didn’t find in a marriage of convenience.

Resources
Sonya Kovalevsky; a biography, and Sisters Rajevsky; being an account of her life by Sonya Kovalevsky by Anna Carlotta Leffler
Women in Mathematics by Lynn Osen
Notable Women in Mathematics edited by Charlene Morrow and Teri Perl