All Mathematicians are Equal!

     Last Saturday's Women's March in Washington was one the great events of my lifetime -- the feeling of community that bonded us participants was palpable.  We chatted and hugged and celebrated our differences and our common ideals. Here is a photo of the sign that I carried and, beneath the sign, are links to poems about women in mathematics who struggled to be considered equal.

This is the sign I carried at the Women's March on January 21, 2017.

This link leads to "Hanging Fire" by Audre Lorde.  This link leads to a few words of mine, "Square Attitudes."  A posting on girls and mathematics includes samples from Sharon Olds and Kyoko Mori and is available here.

Math and Poetry and Climate

Canadian poet Madhur Anand is also an Environmental Scientist; her love of nature and concerns for preserving a habitable climate pervade her work -- and she also scatters throughout it some mathematics.  You can imagine my delight when I found in her new collection (A New Index for Predicting Catastrophes) a poem (included below) that features the identity matrix.  Read on!

No Two Things Can Be More Equal    by Madhur Anand

In undergrad I learned about the identity 
matrix. Ones on the main diagonal and zeros 
elsewhere. Anything multiplied by it is itself. 

America, land of equals (perhaps)

Preparing to celebrate (after Valentine's Day) Presidents' Day, remembering particularly George Washington (b February 22, 1732) and Abraham Lincoln (b February 12,1809), I offer a few lines by Walt Whitman (1819-1892).

       America     by Walt Whitman

       Centre of equal daughters, equal sons,
       All, all alike endear'd, grown, ungrown, young or old,
       Strong, ample, fair, enduring, capable, rich,
       Perennial with the Earth, with Freedom, Law and Love,
       A grand, sane, towering, seated Mother,
       Chair'd in the adamant of Time.        [1888]

This poem is found here in the Walt Whitman Archive.

Solving equations . . .

Although poets as long ago as Henry Lok (1553?-1608?), Elizabeth Tollett (1694-1854), and William Blake  (1757-1827) used mathematical imagery in their poems, the first collection of poetry-with-mathematics that I came to was Against Infinity:  An Anthology of Contemporary Mathematical Poetry (Primary Press, 1979), collected and edited by Ernest Robson and Jet Wimp.  This volume introduced me to poems I could use with my math students and one of my long-term favorites is "Algebra" by Linda Pastan who has, in turn, become one of my favorite poets. 

Lincoln and Euclid -- common notions

     This afternoon I enjoyed the recently-released film, Lincoln -- appreciating Sally Fields as Mary Todd, Tommy Lee Jones as Thaddeus Stevens and (especially) Daniel Day-Lewis as Abraham Lincoln. An absorbing drama -- inspiring and also informative.  With a slight mention of mathematics:  in a film conversation with two-young telegraph operators, Lincoln reflected on his study of Euclid and shared with the young men the first of Euclid's common notions:

     Things that are equal to the same thing are equal to each other. 

Worth of a horse

When my friend Kay and I visited the National Museum of the American Indian Museum in Washington last Wednesday, August 15, we particularly enjoyed the exhibit entitled "A Song for the Horse Nation." These displays explore the role of horses in Native American lives through stories and artifacts, through music and art.  Shown below is a photo of a sign that hangs in the exhibit.  I first intended to use the text on the sign -- with its many numbers -- as raw material for a poem.  But, as I have reviewed the sign since my visit -- including reading it aloud -- I have decided it is already a poem.  Here it is, for you:

Equivalence

In telling the time, we commonly refer to hours that differ by a multiple of 12 using the same number. Sixty hours after 3 o'clock it is again 3 o'clock. The clock relationship -- with its times that are named by the same number but are not, after all, exactly the same -- illustrates the mathematical notion of an "equivalence relation." In "Equivalencies," the insights of poet Judith McCombs stretch this mathematical concept.

Equivalencies     by Judith McCombs

The fear of not writing, of having no words,

Is the muscles not working, the pack top-heavy,
the hard slime on ledges where the ankle gives way

A whole and its parts

     Aristotle may have been the first to assert that a whole is more than the sum of its parts.  Mathematics textbooks are likely to say otherwise, postulating that a whole is equal to the sum of its parts. 

     Emily Dickinson also comments on the matter.

                (1341)         by Emily Dickinson
 
     Unto the Whole -- how add?
     Has "All" a further realm --
     Or Utmost an Ulterior?
     Oh, Subsidy of Balm! 

Geometry and autism

We do not easily describe what goes on inside our own heads and have still greater difficulty seeing into the minds of others.  Pennsylvania poet Barbara Crooker uses images from geometry to help us to see into autism. 

What is the point? -- consider Euclid

A two-line poem by Chilean poet, Pablo Neruda (1904-73), found in my bilingual edition of Extravagaria, reminded me of the poetic nature of several of the opening expressions of Euclid's geometry.  Both of these follow: