The epigraph for Richard Bready's "Times of Sand" (a stanza of which I posted a few days ago on 21 February) is a quote from British physicist Paul Dirac (1902-1984, founder of quantum theory). This quote reminded me how often we find poetry within well-written prose -- and I have gone to WikiQuotes and found more poetic words from Dirac:
If you are
receptive
and humble,
mathematics
will lead you
by the hand.
Tuesday, February 24, 2015
Saturday, February 21, 2015
How many grains of sand?
Sand beaches are places I love to walk. Next to oceans and soft underfoot.
Contemplating grains of sand turns my thoughts to the pair of terms "finite" and "infinite." One of my friends, university-educated, versed in literature and philosophy, offered "all of the grains of sand" as an example of an infinite set. As we talked further, he proposed "the stars in the universe" as a second example. This guy, like many, equates "infinite" with "too large to count." And then there is me; long ago in college I encountered a definition of "infinite" that went something like this: A set is infinite if there is a one-to-one correspondence between the members of the given set or one of its proper subsets with the set {1, 2, 3, . . ..} of counting numbers.
Below I post a stanza from Richard Bready's "Times of Sand" --
a long poem that explores many of the numbers related to sand.
Labels:
calculus,
finite,
Garrett Hardin,
infinite,
mathematics,
poem,
Richard Bready,
sand,
Tragedy of the Commons
Monday, February 16, 2015
The numbers say it all . . .
The title of my posting today, "The numbers say it all" comes from the final line of "After Leviticus," by Detroit poet Philip Levine. Levine (1928-2015) died this past Saturday. Often termed "a working class poet," this fine writer won many awards for his work.
After Leviticus by Philip Levine
The seventeen metal huts across the way
from the great factory house seventeen
separate families. Because the slag heaps
burn all day and all night it’s never dark,
so as you pick your way home at 2 A.M.
on a Saturday morning near the end
After Leviticus by Philip Levine
The seventeen metal huts across the way
from the great factory house seventeen
separate families. Because the slag heaps
burn all day and all night it’s never dark,
so as you pick your way home at 2 A.M.
on a Saturday morning near the end
Friday, February 13, 2015
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.
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.
Monday, February 9, 2015
Surreal parabola, Mobius strip
When a math term appears in a poem, will its usage make sense to a mathematician? Some mathematical folks are critical of poetic use of math words because precision may be lost to "poetic license." Others feel a pleasing tension between the mathness of a term and the stretched or layered meanings suggested by the poem. With these thoughts in mind, consider these two mathematically-titled poems "Mobius Strip" and "Parabola" by Robert Desnos (France, 1900-1945), translated by Amy Levin and selected from "A sampling of French surrealist poetry."
Mobius Strip by Robert Desnos (trans. Amy Levin)
The track I'm running on
Won't be the same when I turn back
It's useless to follow it straight
I'll return to another place
Mobius Strip by Robert Desnos (trans. Amy Levin)
The track I'm running on
Won't be the same when I turn back
It's useless to follow it straight
I'll return to another place
Labels:
Amy Levin,
mathematics,
Mobius band,
parabola,
poetic license,
poetry,
Robert Desnos
Friday, February 6, 2015
Celebrate Black History, Valentine's Day
February is Black History Month and on the 14th we celebrate love with Valentine's Day. To find in this blog a variety of mathy poems on these topics (and many others) use the SEARCH box found at the top of the right-hand column of this blog.
Labels:
Black History Month,
love,
mathy,
poem,
Valentine
Thursday, February 5, 2015
Moebius Strip
Following a lead from Francisco, I found (here) this tiny poem by Michael Hessel-Mial:
moebius strip
a belt of clouds
twist it, latch it
twisted
which way will it rain?
To find more poems that feature the Mobius strip locate the SEARCH box at the top of the this blog's right-hand column -- and enter the term mobius. Alternatively, the search box also works for a myriad of other topics.
moebius strip
a belt of clouds
twist it, latch it
twisted
which way will it rain?
To find more poems that feature the Mobius strip locate the SEARCH box at the top of the this blog's right-hand column -- and enter the term mobius. Alternatively, the search box also works for a myriad of other topics.
Labels:
Michael Hessel-Mial,
Mobius strip,
rainbow,
twist
Monday, February 2, 2015
Is winter half over?
Today (February 2) those of us with roots in Pennsylvania join enthusiasts from everywhere as we look to mythical groundhog Punxsutawney Phil for a forecast concerning prolonged winter or early spring. This morning Phil's forecast was bleak but not unexpected: we will have six more weeks of winter.
This news that our winter is only half over has led me to a poem (found in the illustrated anthology Talking to the Sun, edited by Kenneth Koch and Kate Farrell, published in 1985 by the Metropolitan Museum of Art):
Another Sarah by Anne Porter (1911-2011)
for Christopher Smart
When winter was half over
God sent three angels to the apple-tree
Who said to her
"Be glad, you little rack
Of empty sticks,
Because you have been chosen.
In May you will become
A wave of living sweetness
A nation of white petals
A dynasty of apples."
Another winter poem by Porter with a bit of mathematics is included in this post for 25 November 2012.
This news that our winter is only half over has led me to a poem (found in the illustrated anthology Talking to the Sun, edited by Kenneth Koch and Kate Farrell, published in 1985 by the Metropolitan Museum of Art):
Another Sarah by Anne Porter (1911-2011)
for Christopher Smart
When winter was half over
God sent three angels to the apple-tree
Who said to her
"Be glad, you little rack
Of empty sticks,
Because you have been chosen.
In May you will become
A wave of living sweetness
A nation of white petals
A dynasty of apples."
Another winter poem by Porter with a bit of mathematics is included in this post for 25 November 2012.
Labels:
Anne Porter,
groundhog,
half,
mathematics,
poetry,
Punxsutawney,
winter
Friday, January 30, 2015
Twined Arcs, Defying Euclid
The English language has adopted into current usage many terms from other languages. French terms like coup de grace and haut monde have for many years been found in English dictionaries. Recently, computer terms such as bite and captcha and google have achieved widespread use. In addition, those of us who are fluent in the language of mathematics find that its terms sometimes offer a concise best way to describe a non-mathematical phenomenon.
Mathematician-poet Sarah Glaz weaves mathematical terms into her poem, "Departures in May" -- a poem that uses the language of geometry to vivify the presence of loss, death and other dark forces.
Departures in May by Sarah Glaz
Big things crush, inside the brain,
like plaster of Paris on stone;
a taste of splintered metal;
terra-cotta hardness of heart's desire.
Statues motionless
at railroad depots,
proclaim imitation as life.
Mathematician-poet Sarah Glaz weaves mathematical terms into her poem, "Departures in May" -- a poem that uses the language of geometry to vivify the presence of loss, death and other dark forces.
Departures in May by Sarah Glaz
Big things crush, inside the brain,
like plaster of Paris on stone;
a taste of splintered metal;
terra-cotta hardness of heart's desire.
Statues motionless
at railroad depots,
proclaim imitation as life.
Labels:
arcs,
curve,
Euclid,
infinity,
mathematics,
poem,
Sarah Glaz
Monday, January 26, 2015
Poetry-math images; Expectation
Search engines are very useful in my search for mathy poets and poems. Recently I have noticed that a link to images has been offered prior to the verbal links when I have queried Google using "mathematics poetry." Some of the visuals are quotations, some are book-covers, some are poems. When you have time, explore and enjoy!
Finding more via Google that I expected connected me with an old poem. Here, unearthed recently, is "Expectation" -- some lines from the 1980s, when I was beginning to write poems.
Expectation
teach you to expect two teach you to expect one
to be more than one. to be the sum of its parts.
Labels:
expectation,
Google,
mathematics,
Parable of the Watchmakers,
poetry,
time
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