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In one of her best known poems, George Eliot wrote of “the choir invisible,” the “immortal dead who live again / In minds made better by their presence.” In the work of which this book is the culmination, I have been sustained and inspired by my own Choir Invisible, who have enlarged my view of what was possible and accompanied me on what has turned out to be one of the most challenging and rewarding journeys of my life. I dedicate this book to them.
The group has many members, all of whose voices have been important, but there are four who have been particularly strong presences in this work: my grandmothers, Nina Bookhardt Neeley and Jessie Rivers Von Harten, my great aunt Myrtle Von Harten Davison, and my dear friend Ann Doner Vaughan. Their capacity to inspire and support others has not been diminished by the passage from this life to the next.
The Choir also includes Mary Somerville, whom I have never properly met but who has been an excellent companion and most agreeable subject through the years I have spent with her. I have on occasion been accused of acting too much as her advocate. On one level, of course, this charge is quite justified. For as long as I have truly appreciated what she accomplished, I have felt an obligation to help bring it to light. An unusual and fortuitous set of circumstances put me in a position to comprehend her work, and I have worked hard to help others do so. I would add that I did not begin this project as Somerville's advocate.
Mrs. Somerville's reputation is likely to be permanent, but it is possible that this unaffected record of a beautiful and consistent life may be of more benefit to society than even the valuable works to which she is indebted for her fame.
–Review of Personal Recollections, The Spectator, January 31, 1874
I began this project with the nave assumption that Mary Somerville was a forgotten woman. My reasons for thinking she was forgotten were straightforward: I had read dozens of comprehensive histories of science, and I had never seen her treated as anything more than a footnote, and rarely even as a footnote. As I examined in detail how she had been treated by the history of science, I realized that something much more interesting than forgetting was going on. She was not forgotten. She just could not be integrated into the patterns of traditional history of science. The eminence she had achieved in her own time was overshadowed by the fact that there was no major discovery to which her name could be attached and by the conceptual filters that either discounted women's achievements or failed altogether to recognize them.
The “Forgetting” of Mary Somerville
Of all the aspects of Mary Somerville's life and career, her fall into relative obscurity – what I will call here her “forgetting” – is one of the most interesting. By “forgetting” I mean not the literal loss of knowledge of her existence but rather her absence from standard histories of science. During her lifetime, she had been an integral part of the living scientific community, but she was an outsider to history.
Gravitation … connects sun with sun throughout the wide extent of creation … every tremor it excites in any one planet is immediately transmitted to the farthest limits of the system … like sympathetic notes in music, or vibrations from the deep tones of an organ.
–Mary Somerville, On the Connexion of the Physical Sciences
What Mary Somerville was and what she accomplished are captured in the self-portrait that serves as the frontispiece for this book. One of the most striking characteristics of the self-portrait is the directness with which the subject meets the gaze of the viewer. She deliberately presented herself as an author, pen in hand and seemingly in the midst of composition. Her clothing seems decidedly, perhaps even selfconsciously, feminine. The face is portrayed with much more accuracy and detail than any other part of the portrait except for her hands. In fact, much of the background is treated in an impressionistic way that almost suggests that the portrait is not yet finished. For the style of portraiture of the time, the gaze is uncommonly direct. It is neither reluctant nor aggressive, but, rather, discerning, perspicacious, shrewd.
In one respect, the directness of the gaze reflects her voice as an author, the hard-won confidence and authority that Somerville enjoyed as a scientist and an intellectual. Her life story demonstrates what a great distance had to be traversed in order for her – or for any woman of her time – to overcome the norms of deference that she surmounted in meeting the viewer's gaze so directly.
Early associations never entirely leave us, however much our position in life may alter.
–Mary Somerville, Physical Geography, 1848
The more one learns about Mary Somerville's childhood and early life, the more surprising her accomplishments appear. Her father had been sent to sea at the age of ten and had little formal education. Her mother read only the Bible, the newspaper, and sermons. Her parents' educational goals for their daughter were for her “to write well and keep accounts, which was all that a woman was expected to know” (PR 25) and to learn what might be called the domestic fine arts: needlework, pastry and jam making, gardening, and piano. As a child, she had great difficulty remembering names and dates and found the catechism incomprehensible. Though she could read Pilgrim's Progress at the age of eight or nine, she did not master the basics of writing and arithmetic until she was thirteen years old. She never became adept at spelling or doing simple sums.
Her family and friends generally disapproved of her penchant for reading, and she was prevented from studying Euclid at night because she was depleting the family candle supply and her family feared she would follow in the footsteps of an acquaintance who had gone “raving mad about the longitude!” (PR 54) In girlhood, her education was inhibited by old-school prejudices, lack of money, and the demands of acquiring and practicing the domestic and artistic skills required of a woman of the middle class; in early adulthood, she was limited by isolation and an unsupportive spouse.
The deeper the research, the more does the inexpressible perfection of God's works appear, whether in the majesty of the heavens, or in the infinitesimal beings of the earth.
–Mary Somerville, On Molecular and Microscopic Science
As in a theater,
The lights are extinguished, for the scene to be changed
–T. S. Eliot, “East Coker”
As previous chapters have demonstrated, one of the hallmarks of Somerville's rhetoric of science was a theme she borrowed from the eighteenth-century scientific poets – the idea that science was a pathway to God, a form of elevated meditation, and that detailed examination of nature revealed the intricacy, drama, harmony, and beauty that God had incorporated into the design of universe. In this view, the capacity for exact calculation and for in-depth and precise understanding of phenomena was an aid rather than a hindrance to appreciating the wonders of the creation. She pursued the creative possibilities of this idea in new settings in Physical Geography and On Molecular and Microscopic Science. In Mechanism and Connexion, Somerville had provided her readers with an expanded conception of the universe and surveyed the celestial and some aspects of the terrestrial spheres. In Physical Geography and On Molecular and Microscopic Science, she turned her attention to the remainder of God's handiwork – the earth, the sea, the air, and their many animal and vegetable inhabitants. As she explored and presented detailed scientific accounts of these subjects, Somerville took up another theme borrowed from the scientific poets: the analogy between the worlds revealed by the telescope and microscope.
Mrs. Somerville is the lady who, Laplace says, is the only woman who understands his works. She draws beautifully, and while her head is up among the stars, her feet are firm upon the earth.
–Maria Edgeworth to Miss Ruxton, January 17, 1822
The innovative is, by definition, hard to categorize.
–Clifford Geertz, “Blurred Genres: The Reconfiguration of Social Thought”
Mary Somerville was an eminent scientist. She achieved an international reputation that established her as both the leading woman of science in Great Britain during the nineteenth century and as one of that century's most celebrated intellectual women. (Patterson 1983) Somerville's greatest scholarly strength was in mathematics, which she mastered at a very high level, but her expertise extended throughout the established and emerging physical and life sciences. She was the first woman to publish experimental results in the Philosophical Transactions of the Royal Society as well as the first – and only – woman to have her bust placed in the great hall of the Royal Society. Hers was the first name on John Stuart Mill's petition to obtain the vote for women in Great Britain. (PR 345) When the founders of Oxford University's first nondenominational women's college sought a name to exemplify ideals of high intellectual achievement for women, “Somerville” seemed an obvious choice. (Adams 1996)
In a letter written in 1829, David Brewster pronounced her “certainly the most extraordinary woman in Europe – a Mathematician of the very first rank.”
No analysis is so difficult as that of one's own mind
–Mary Somerville, Personal Recollections
The last page of the second draft of Mary Somerville's autobiography, written near the end of her long life, contains only a few lines. These lines are recorded in an elderly hand that deteriorates rapidly as it moves down the page and seems to contradict the words themselves.
I have every reason to be thankful that my intellect is still unimpaired, and, although my strength is weakness, my daughters support my tottering steps, and, by incessant care and help, make the infirmities of age so light to me that I am perfectly happy, and as a memorial of my gratitude and love, I dedicate this my last work to them.
Mary Somerville
The page is very wrinkled and appears to have been crumpled and then smoothed out again. The words printed here in italics are omitted from the published version. The circumstances that led to the crumpling of the page and the omission of the final words remain, like many other things about Mary Somerville, somewhat of a mystery.
Personal Recollections holds particular interest because it sheds light on her published works and also offers answers to questions left largely unanswered by other sources. What kind of a person was Mary Somerville? What kind of life did she lead? What were her regrets and fears? How did she view her own career and abilities? What were her views on women in science and society?
For my part, I was long in the state of a boa constrictor after a full meal – and am but just recovering the powers of motion. My mind was so distended by the magnitude, the immensity of what you put into it! I can only assure you that you have given me a great deal of pleasure; that you have enlarged my conception of the sublimity of the universe, beyond any ideas I had ever before been enabled to form.
–Maria Edgeworth, 1832
The “full meal” to which Edgeworth refers is the “Preliminary Dissertation” on the Mechanism of the Heavens. The terms she uses and the responses she describes seem more appropriate for an epic poem than a scientific treatise. The “Preliminary Dissertation” combined the qualities of both. Although it was written for and originally published as part of Mechanism, the “Preliminary Dissertation” was considered sufficiently valuable to be published independently in 1832. It epitomizes Somerville's most important abilities and contributions as a writer and a philosopher and provided the basic structure for one of Somerville's most popular books, On the Connexion of the Physical Sciences, which sold over 15,000 copies. As mentioned earlier, Mechanism established Somerville's reputation in elite science. Because Mechanism and Connexion were Mary Somerville's most esoteric and technical writings, they provide the most convincing demonstration of her ability to portray science as both exact calculation and elevated meditation. They also illustrate the intellectual quality that Whewell defined in gendered terms as the peculiar illumination of the female mind, a quality that ultimately reveals itself more through its blurring of gendered traits than its exemplification of female ones.
It is impossible to be a mathematician without being a poet in soul. … the poet has only to perceive that which others do not perceive, to look deeper than others look. And the mathematician must be able to do the same thing.
–Sónya Kovalévsky
Notwithstanding all the dreams of theorists, there is a sex in minds. One of the characteristics of the female intellect is a clearness of perception. … when women are philosophers, they are likely to be lucid ones; … when they extend the range of their speculative views, there will be a peculiar illumination thrown over the prospect.
–William Whewell, Review of On the Connexion of the Physical Sciences (1834) by Mary Somerville
Three large windows with extensive views dominate the room in which I wrote most of this book. As I immersed myself in the scientific writings of Mary Somerville and looked at the world outside through the lenses her writing provided, those very familiar views took on an entirely new aspect, and the world of nature became much more vast, vivid, and dynamic than I had ever imagined it could be. My own powers of perception had been expanded as I watched Somerville exercise hers. I hope I have succeeded in conveying the power of Somerville's transforming vision. Its power derives in large part from Somerville's ability to use science to heighten perception and stimulate imagination.
The utilitarian goals commonly associated with science often overshadow its other functions.
After having measured the velocity of the nervous impulse in the 1850s, Helmholtz began doing research on the temporal dimensions of visual perception. Experiments dealing with the velocity of propagation in nerves (as well as with aspects of perception) were carried out occasionally for some fifteen years until their final publication in 1871. Although the temporal dimension of perception seems to have interested Helmholtz less than problems of geometry and space, his experiments on the time of perception were technically rather subtle and seminal, especially compared with experiments performed by his contemporaries, such as Sigmund Exner, William James, Rudolf Hermann Lotze, Ernst Mach, Wilhelm Volkmann, and Wilhelm Wundt. Helmholtz’s conception of the temporal aspects of perception reflects the continuity that holds between psychophysiological research and the Kantian philosophical background.
According to Hermann von Helmholtz, free mobility of bodies seemed to be an essential condition of geometry. This free mobility can be interpreted either as matter of fact, as a convention, or as a precondition making measurements in geometry possible. Since Henri Poincaré defined conventions as principles guided by experience, the question arises in which sense experiential data can serve as the basis for the constitution of geometry. Helmholtz considered muscular activity to be the basis on which the form of space could be construed. Yet, due to the problem of illusion inherent in the subject’s self-assessment of muscular activity, this solution yielded new difficulties, in that if the manifold is abstracted from rigid bodies which serve as empirical justification of the geometrical notion of space, then illusionary bodies will produce fictive manifolds. The present article is meant to disentangle these difficulties.