Contemplating the heavens

English writer G. K. Chesterton (1874-1936) was a poet but was better known for his pithy sayings.   For example, we have the following statement (originally found here). 

         The
         difference
         between the poet
         and the mathematician
         is that the poet tries to get
         his head into the heavens
         while the mathematician
         tries to get the heavens
         into his head.

     Alas, Chesterton's comment obeys the common assumption that the male pronoun should be used for mathematicians.  Another poetic comment on mathematicians is found in a poem by Anthony Hecht -- "Mathematics Considered As a Vice" -- available here at PoetryFoundation.org.  Hecht's poem  offers a strongly negative view of the abstract nature of mathematics.
     Rivalry between mathematics and poetry comes to a head in April -- during which we will celebrate both "National Mathematics Awareness Month" and "National Poetry Month."

Pound on poetry and mathematics

HERE at PoetryFoundation.org we find an article by Carl Sandburg (1878-1967), published in POETRY Magazine in 1916, in which Sandburg offers highest praise to poet Ezra Pound (1885-1972). Sandburg includes this quote from a 1910 essay by Pound that connects poetry and mathematics.

"Poetry is a sort of inspired mathematics, which gives us equations, 

not for abstract figures, triangles, spheres and the like, but equations 

for the human emotions.  If one have a mind which inclines to magic

rather than science,  one will prefer to speak of these equations 

as spells or incantations; it sounds more arcane, mysterious, recondite."

The complete article is available here.

And, in a footnote* to the poem "In a Station of the Metro" -- found in my Norton Anthology of Modern Poetry we find a bit more of Pound's mathematical thinking. 

Two cultures

The opening poem of Uneasy Relations by mathematician-poet Michael Bartholomew-Biggs is concerned with similarities and differences between mathematical and poetic cultures -- a topic of immense interest also to me and one that I too try to address in my verse.  I wonder --  HOW can I show non-mathematicians that good mathematics is poetry??!!  And, moreover, how can I (mostly a mathematician) write (as advocated by Wallace Stevens and agreed with by other poets) of things rather than (as mathematics wants) of ideas.  OR, may one make poetry of ideas?

   Two Cultures     by Michael Bartholomew-Biggs

   Graves claimed there isn't
   much money in poetry:
   and none vice-versa.

   The first part stays true
   if we replace poetry
   by mathematics. 

A poet re-envisions space

University of Pennsylvania professor Robert Ghrist, in his September 19 lecture ("Putting Topology to Work") at the MAA's Carriage House, credited poet John Milton (1608-1674) with the first use of the word space as an abstract entity -- and, Ghrist asserted, by so doing, Milton opened a door to the study of abstract space (known in mathematics as topology).

The following material is a 24 September correction

from my 23 September posting.  For I discovered -- in a thoughtful email from Ghrist --

that the proper citation of "space" was not from line 50 of Book 1 but from line 89 of Book 7.  

(I invite you go to Project Gutenberg for Paradise Lost in its entirety.)

Here, below, I have replaced my original posting of  lines 44-74 of Book 1 

with lines 80 - 97 of Book 7 --  lines taken from my shelf copy of Milton's Paradise Lost,

 the 1968 Signet Classic Edition, edited by Christopher Ricks.

In the selection below and throughout his epic, Milton replaces past visions of hell down-in-the-earth and heaven up-in-the-sky with more complex and abstract configurations.