From a math-friend and an Ohio poet

     One of the wonderful things about writing a blog about my paired passions of poetry and mathematics is that the blog connects me with fascinating and generous people whom I might not otherwise meet. One of these is Marylander Greg Coxson -- physicist, engineer, mathematician, Operations Researcher -- who took three years of Latin in high school and loves words.  With interests in art and poetry, Greg has organized exhibits of math-related art -- and is a regular recommender of mathy poems for this blog.
     A week or so ago Greg alerted me to an NPR interview with Ohio Poet Laureate Amit Majmudar (a radiologist as well as a poet) -- letting me know that Majmudar's poetry was rich with mathematical imagery.  Following Greg's lead, I found Majmudar's website and was able to contact both Majmudar and his publisher, Knopf, for permission to offer these mathematical poems.
     Here, from Amit Majmudar's new book Dothead, are two sections of the poem "Logomachia" -- sections alive with geometry and logic.  The first, "radiology," is visually vivid; the second, "the waltz of descartes and mohammed," is a sestina that plays with the logic of word-order.  

Rabbis should learn to solve quadratics

     Thanks to mathemagician Colm Mulcahy who connected me with poet Lisa Dordal -- and thanks to her for permission to offer these lines, entertainingly seasoned with math words:

Why Rabbis Need to Know
How to Solve Quadratic Equations  

                                         by Lisa Dordal (with help from Laurie Samuels)

Because they are good exercise
for your logic muscles, which you’ll need
to work through those pesky J says-P says conflicts of text –- 
the bumpy remains of a Torah affair. 

Not good at math . . .

     Connecticut poet Joan Cannon is a senior who laments her lingering anxiety over mathematics in her poem, "Humility," below.  I found Cannon's poem on Senior Women Web and it is accompanied there by selections from an article by Patrick Bahls entitled "Math and Metaphor:  Using Poetry to Teach Mathematics."  The complete article is available here.

     Humility    by Joan L. Cannon

     Archetypes, mysteries, simple clues
     that only fingers and toes, sticks and stones
     and flashes of inspiration require
     for universes to be disclosed ...
     symbols for functions and formulae
     for proof; logic so easy for some —
     why am I innumerate?  

Celebrating Ada Lovelace

Recently I have purchased the anthology, Raising Lilly Ledbetter:  Women Poets Occupying the Workplace (edited by Caroline Wright, M.L. Lyons & Eugenia Toledo, Lost Horse Press, 2015), and have found in it dozens of wonderful poems, including several that celebrate women of science.  Below I offer a poem by New York poet Jo Pitkin that honors Ada Lovelace (1815-1852).  

Bird, Moon, Engine     by Jo Pitkin

Like a fence or a wall to keep me from harm,
tutors circled me with logic, facts, theorems.
But I hid the weeds growing wild in my mind.

By age five, I could plot the arc of a rainbow.
I could explain perpendicular and parallel.
In my mind, I heard the wind in wild weeds. 

Multiplied by Rain

     There are many mathematical terms that are used in daily life -- not only multiplied and divided and negative but also closure and identity and field and commute -- and it is fun for me, a math person, to see poets use such terms in new and thoughtful ways.
     Poet Jane Hirschfield weaves words into fine tapestries that give us new dimensions of meaning.  The Table of Contents of her new book, The Beauty (Knopf, 2015), is scattered with mathematical terms -- we find zero, plus, subtraction,  and the final title, "Like Two Negative Numbers Multiplied by Rain."  This poem first appeared in Poetry (2012) and is available at the Poetry Foundation website along with more than thirty additional Hirshfield poems.

Like Two Negative Numbers Multiplied by Rain   by Jane Hirshfield

     Lie down, you are horizontal.
     Stand up, you are not. 

Reflections on Logic

Miroslav Holub (1923-1998), Czech poet and immunologist who excelled in both endeavors, is one of my favorite poets.  He combines scientific exactitude with empathy and absurdity.  Here is a sample:

       Brief Reflections on Logic     by Miroslav Holub

                                     translated by Stuart Friebert and Dana Habova

       The big problem is everything has
           its own logic.  Everything you can
           think of, whatever falls on your head.
           Somebody will always add the logic.
           In your head or on it.  

Public Image of a Mathematician

From John Dawson -- a professor emeritus of mathematics at the Penn State York campus and well-known for his publications in mathematical logic, often focusing on the life and work of Kurt Godel -- a poem on a topic that this blog visits from time to time, portraits of mathematicians.

       Public Image     by John W. Dawson, Jr.

       Please,
       I'm not an accountant.
       No,
       Mine doesn't always balance either.
       What do I do then?
       Well,
       On good days
       I prove theorems; 

Logic in limericks

In these lines, Sandra DeLozier Coleman (who participated in the math-poetry reading at the Joint Mathematics Meetings in Baltimore in January) speaks as a professor reasoning in rhyme, explaining truth-value technicalities of the logical implication, "If p then q" (or, in notation, p -- > q ).

     The Implications of Logic     by Sandra DeLozier Coleman

     That p --> q is true,
     Doesn’t say very much about q.
     For if p should be false,
     Then there’s really no loss
     In assuming that q could be, too.  

Balancing an Equation

     I grew up on a farm and spent my middle life in a small town and now live in a city.  A sort of immigrant.  A farm girl who became a professor.  A balancing act.
     Some years back, one of my math department colleagues posted on his office door a quote from George Bernard Shaw (1856-1950) :   

     The reasonable man adapts himself to the world: the unreasonable one persists 
     in trying to adapt the world to himself. Therefore all progress depends 
     on the unreasonable man.

At one time I much agreed with the Shaw quote.  Now (perhaps because I am older or because I now live near to Washington, DC and contentious party politics) I am more admiring of balance than unreasonableness.  Here is a lovely poem by Caroline Caddy about balance and numbers. 

Valley Voices

With Richard Aston I share a love for science and logic, a love for poetry, and a love for the Susquehanna Valley.  His home is Wilkes-Barre and mine was (for 25 years) Bloomsburg -- both Northeastern Pennsylvania Susquehanna River towns.  We met long ago at a gathering of the Mulberry Poets (a group in which Richard remains active) in Scranton.  His recent collection of poetry Valley Voices (Foothills Publishing, 2012) has recently arrived in my mailbox and I'd like to share one of the voices in his collection -- a gathering of poems from a writer who has listened to the members of the communities in which he lives and has created memory portraits so that they will not be forgotten.  Here is one of his Susquehanna valley voices. 

The wealth of ambiguity

When we read these lines by Robert Burns (1759-1796),

     Oh my luv is like a red, red rose,
     That's newly sprung in June . . .
    
we don't know whether he compares a woman he loves to a flower or whether it is his own emotion he describes.  And the multiplicity of meanings is a good and pleasing thing.  Similarly, when we read the problem,

     Solve the equation, x² + 4 = 0 

If p, then q.

     Today's posting (as also on April 13)  presents variations of the conditional statment -- a sentence of the form "If ___, then ___" in which mathematical theorems often are expressed. (For example, "If m is an odd integer, then m² is an odd integer.")   More generally, a conditional is a statement of the form "If p, then q" -- where p and q denote statements. Poet E. C. Jarvis plays with the language of logical statements and with the idiomatic phrase "Mind your p's and q's" in his poem, "A Simple Proposition." 

Puzzles, puzzlers, and parody

     For lots of fun, go to plus online magazine at this link to find a poem that requires a knight's tour of a chess board for you to unscramble its words and read its eight lines.

Satire Against Reason . . .

     John Wilmot (1647-1680), 2nd Earl of Rochester, was a friend of King Charles II, and author of much satirical and bawdy poetry. Even though logical reasoning is central in mathematics, reason has not lead us to a utopian society -- and Wilmot's poem, "Satire Against Reason and Mankind," reminds us of the many ways that we can be wrong. 

Poetry of Logical Ideas

When the NY Times failed to publish an obituary following the death of noted algebraist Amalie "Emmy" Noether, Albert Einstein corrected the omission with a letter to the editor (noting Noether's accomplishments) published on May 5, 1935. In addition to his praise for one of the most accomplished mathematicians of all time, Einstein said this of mathematics: "Pure mathematics is, in its way, the poetry of logical ideas." In the 1960s, as I climbed into the male-dominated world of mathematics, Emmy Noether was one of my heroes. Many years later I wrote this poem.