Voyage around the Square Root of Minus One
I often heard
that while the sciences concern themselves
with objective truths
the arts deal with subjective phenomena.
Many years ago I held the same view,
but later came to the conclusion
that this is just a well-combed popular myth.
It is an untenable credo
because the sharp separation
of the arts and sciences is a rigid
and arbitrary mandate, full of holes.
Although all subjects have their specificities,
at the same time they also share
many common traits with each other.
There is art in science and science in art.
Artists, for example,
apply geometry to represent
a three dimensional scene in a painting,
which is a two dimensional surface.
By using ‘objective' geometrical perspective,
Renaissance artists, among them Alberti,
Brunelleschi, Uccello, Leonardo and Dürer,
developed in Europe the ‘subjective' illusion
of perceptual realism.
Later, in the Dutch Republic of the 17th century,
Johannes Vermeer applied expensive pigments
to the canvas and conducted
pioneering research in optics that enhanced
the supreme quality of his work,
imbuing his paintings with sublime,
otherworldly light.
In the 19th century
the Romantic painter John Constable
prepared detailed studies
of the landscape and weather conditions
of England, before transcribing them
into images of stunning accuracy and grace.
Following the closing of the Weimar Bauhaus
by the Nazis in 1933, the artist Josef Albers
moved to the USA, where he worked at
Black Mountain College and at Yale University.
Albers is credited with the discovery of
the gravitational laws of color interaction,
which he expressed in his minimalist paintings
of "Homage to the Square".
Yet painters are not the only artists
who use science in their work.
Writers and poets often incorporate
scientific themes into their novels and verse,
making more than once
important contributions
to the development of science.
A giant of German literature,
the poet, novelist and artist
Johann Wolfgang von Goethe was also
a pioneer of scientific phenomenology.
His myriad accomplishments encompassed
explorations in the metamorphosis of plants
and insects. Besides, his research interests
extended to geology and meteorology.
Moreover, in 1810 Goethe published
his "Theory of Colors", an influential opus
that inspired the painter J.M.W. Turner,
the philosopher Ludwig Wittgenstein,
as well as many others.
In many ways Goethe's color theory
remains valid even in the 21st century.
Shakespeare's work, too, may serve
to illustrate the links between art and science.
His plays are sprinkled with profound insights
regarding the psychodynamic processes
of the human mind and soul.
In the role of an early neuroscientist,
the bard can teach modern day physicians
a great deal about the mind-body connection,
about physical symptoms originating
in emotional disturbances.
Or take William Wordsworth.
This great Romantic English poet wrote
about nature and nurture,
"The child is father of the Man", he said,
a century before Freud formulated
his psychoanalytic theories.
And then, in a long prose poem,
titled "Eureka" and published in New York
in 1848, Edgar Allan Poe's gave expression
to his intuitive vision of the universe.
His work anticipated
cosmological discoveries
of the twentieth century.
Packed with bold conjectures,
the poet describes in "Eureka"
the concept that astronomers today call
Cosmological Black Hole.
Poe envisions here a pulsating universe,
evolving in an endless series
of Big Bangs and Big Crunches.
Now, let's bear in mind that
while science promises to provide us
thoroughly objective research products,
in the end it fails to deliver them.
Consider, for instance, the Queen of Sciences,
our most exact subject: Mathematics.
This powerful and noble discipline serves
as an indispensible tool for every branch
of science, as well as for common errands
that we carry out in all walks of life.
However, the astonishing success
of mathematics remains a baffling enigma.
For, how we can accomplish so much with it,
despite its inherent inconsistencies
and its uncertain relation to nature,
defies rational explanation.
Mathematical equations are embedded
with mysterious forces
and their uncanny power transcends
the cognitive faculties of the human mind.
A case in point concerns
a highly effective but bizarre
mathematical concept, the imaginary number
of the square root of minus one,
marked with the humble symbol, "i".
This number is a precise mathematical idea,
and at the same time a poetic celebration
of absurdity, because it hails from
a genderless state of an outlandish kingdom.
"i" is neither positive nor negative.
It exists in spite of itself,
percolating through the faulty filters
of remote stars of another galaxy.
And then there is the bizarre case of zero.
A central pillar of arithmetic, the naught
is a stringent figment of the imagination,
a number used as a symbol
of both nothing and infinity,
by which you can multiply,
however, never allowed to divide.
Now, a careful examination
of the pivotal hard core sciences
of physics and chemistry reveals
that their cardinal notions, such as:
space, time and matter, numbers,
molecules, atoms and particles,
with their quantum probabilities,
are actually elusive figures of speech,
sophisticated abstract metaphors.
Consequently, physicists and chemists
don't really understand their subject matter,
although many of them pretend
that they do.
Mind you,
the sciences are not superior
to music, poetry or painting.
Their epistemological status is equal.
For, the creative genius of Archimedes
does not surpass that of Homer;
nor do the swings of Galileo's pendulum
controvert the rhythm of iambic pentameters
on Dante's keyboard.
Similarly, the shining jewels of
Euler's magnificent mathematical equations
are not more brilliant, or more meaningful
than the triumphant melodies
of Vivaldi's masterpiece, "The Four Seasons".
Nor does the aesthetic splendor
of Cantor's transfinite sets
eclipse the majestic beauty
of Mozart's symphonies.
The earth revolves around the sun
surrounded by inexhaustible mysteries.
Still, Newton's infinite abstract space
is no closer to reality
than the adjacent concrete sky of Rembrandt.
And thus, in the final analysis,
Einstein's glorious Theory of Relativity
does not reveal more ultimate truths
about the transcendental cosmos
than the paintings of Picasso's universe.
poem by Paul Hartal
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Related quotes
Science is Unscientific
The Professor rose from his chair.
He moved the book to the middle
Of the table as he stood up.
"Now, listen! " he said in an amicable voice.
"Science prides itself in being factual,
objective, precise, unbiased, detached
and verifiable, free from introversion,
a way of knowing things without added colours
and portraying accurately the physical world
in its own light".
The Turtle was sipping his ginger ale.
"Oh, this description of science is nothing
but a myth", he said. "As I see it,
even the most magnificent accomplishments
of science involve emotions,
an individual sense of wonder and curiosity,
the psychological experience of the rapturous
and the mystical. Consequently,
a paradoxical and built in property
of science concerns
its own unscientific disposition.
And therefore, in my opinion,
science is thoroughly unscientific."
"Nonsense", the professor objected.
"If science were really unscientific,
as you claim, it could not produce
nuclear energy, airplanes, or computers.
And it could not put
astronauts on the moon".
"Well, I indeed never stop to wonder,
How is it possible that with so little knowledge
humans can accomplish so much? "
the Turtle said.
And then he added:
"But, you should not
confuse science with technology".
"I don't get your point", the Professor said,
"because you still did not provide me with
a good justification of your negative view
of science".
"Look! Science stands on very shaky
theoretical foundations", the Turtle explained.
This is so due to its reduction
of the concrete whole
to incomplete abstractions. Ironically,
the more scientific science tries to be,
the less scientific it becomes.
Science is rational and logical but the
universe, which it investigates is not.
We cannot separate ourselves
from the world outside.
Therefore, an objective investigation
of actuality ought to incorporate
the subjective experience.
The depiction of reality must be total.
Otherwise it cannot be truly scientific.
Mind you, ignoring the dominant
subjective realm of existence does not
make the world more objective.
Imagine, for example, a computer
that tries to understand
the human world without understanding
the human mind and human emotions".
A moment of silence ensued.
The Professor sank into his thoughts.
The Turtle took another sip
from the ginger ale.
"I'm not sure",
the Professor said eventually,
"that it would be a good thing
evolving a computer to a level
in which it would understand
such human qualities as humour, concern,
loyalty, compassion, love and anger.
I wonder if such a cybernetic device
would be our servant or our master."
poem by Paul Hartal
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Sonnet V: Nothing But No
Nothing but "No," and "Aye," and "Aye," and "No"?
How falls it out so strangely you reply?
I tell ye, Fair, I'll not be answer'd so,
With this affirming "No," denying "Aye."
I say, "I love," you slightly answer "Aye";
I say, "You love," you pule me out a "No";
I say, "I die," you echo me an "Aye";
"Save me," I cry, you sigh me out a "No";
Must woe and I have nought but "No" and "Aye"?
No I am I, if I no more can have;
Answer no more, with silence make reply,
And let me take myself what I do crave.
Let "No" and "Aye" with I and you be so;
Then answer "No," and "Aye," and "Aye" and "No."
poem by Michael Drayton
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The Ghost Machine
Wittgenstein took a sip from his tea.
"You're wrong Descartes, I can tell you,
because body and mind are one".
"Wittgenstein is right", seconded Ryle.
He looked very angry
and shook his head as he continued:
"In claiming that your thoughts are separated
from your body you created a dogma
of the ghost in the machine."
"Gentlemen", Descartes said, "relax.
Where were you when I talked about these things?
You were not even born then".
"Wait a minute", said Bohm. "You're all wrong."
"What? " snapped out Ryle.
"You heard it correctly. You're all wrong", insisted Bohm.
"You have to explain", Wittgenstein said.
Descartes looked to be perplexed.
"Well", explained Bohm,
"since everything in the universe is information,
the existence of matter is nothing but a myth.
The universe is an enormous thought, a giant computer.
It is the machine, which is the ghost."
poem by Paul Hartal
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Arcturus
"Arcturus" is his other name—
I'd rather call him "Star."
It's very mean of Science
To go and interfere!
I slew a worm the other day—
A "Savant" passing by
Murmured "Resurgam"—"Centipede"!
&q uot;Oh Lord—how frail are we"!
I pull a flower from the woods—
A monster with a glass
Computes the stamens in a breath—
And has her in a "class"!
Whereas I took the Butterfly
Aforetime in my hat—
He sits erect in "Cabinets"—
The Clover bells forgot.
What once was "Heaven"
Is "Zenith" now—
Where I proposed to go
When Time's brief masquerade was done
Is mapped and charted too.
What if the poles should frisk about
And stand upon their heads!
I hope I'm ready for "the worst"—
Whatever prank betides!
Perhaps the "Kingdom of Heaven's" changed—
I hope the "Children" there Won't be "new fashioned" when I come—
And laugh at me—and stare—
I hope the Father in the skies
Will lift his little girl—
Old fashioned—naught—everything—
Over the stile of "Pearl."
poem by Emily Dickinson
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The ABC
'Twas midnight in the schoolroom
And every desk was shut
When suddenly from the alphabet
Was heard a loud "Tut-Tut!"
Said A to B, "I don't like C;
His manners are a lack.
For all I ever see of C
Is a semi-circular back!"
"I disagree," said D to B,
"I've never found C so.
From where I stand he seems to be
An uncompleted O."
C was vexed, "I'm much perplexed,
You criticise my shape.
I'm made like that, to help spell Cat
And Cow and Cool and Cape."
"He's right" said E; said F, "Whoopee!"
Said G, "'Ip, 'Ip, 'ooray!"
"You're dropping me," roared H to G.
"Don't do it please I pray."
"Out of my way," LL said to K.
"I'll make poor I look ILL."
To stop this stunt J stood in front,
And presto! ILL was JILL.
"U know," said V, "that W
Is twice the age of me.
For as a Roman V is five
I'm half as young as he."
X and Y yawned sleepily,
"Look at the time!" they said.
"Let's all get off to beddy byes."
They did, then "Z-z-z."
poem by Spike Milligan
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What is—
215
What is—"Paradise"—
Who live there—
Are they "Farmers"—
Do they "hoe"—
Do they know that this is "Amherst"—
And that I—am coming—too—
Do they wear "new shoes"—in "Eden"—
Is it always pleasant—there—
Won't they scold us—when we're homesick—
Or tell God—how cross we are—
You are sure there's such a person
As "a Father"—in the sky—
So if I get lost—there—ever—
Or do what the Nurse calls "die"—
I shan't walk the "Jasper"—barefoot—
Ransomed folks—won't laugh at me—
Maybe—"Eden" a'n't so lonesome
As New England used to be!
poem by Emily Dickinson
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Us Two
Wherever I am, there's always Pooh,
There's always Pooh and Me.
Whatever I do, he wants to do,
"Where are you going today?" says Pooh:
"Well, that's very odd 'cos I was too.
Let's go together," says Pooh, says he.
"Let's go together," says Pooh.
"What's twice eleven?" I said to Pooh.
("Twice what?" said Pooh to Me.)
"I think it ought to be twenty-two."
"Just what I think myself," said Pooh.
"It wasn't an easy sum to do,
But that's what it is," said Pooh, said he.
"That's what it is," said Pooh.
"Let's look for dragons," I said to Pooh.
"Yes, let's," said Pooh to Me.
We crossed the river and found a few-
"Yes, those are dragons all right," said Pooh.
"As soon as I saw their beaks I knew.
That's what they are," said Pooh, said he.
"That's what they are," said Pooh.
"Let's frighten the dragons," I said to Pooh.
"That's right," said Pooh to Me.
"I'm not afraid," I said to Pooh,
And I held his paw and I shouted "Shoo!
Silly old dragons!"- and off they flew.
"I wasn't afraid," said Pooh, said he,
"I'm never afraid with you."
So wherever I am, there's always Pooh,
There's always Pooh and Me.
"What would I do?" I said to Pooh,
"If it wasn't for you," and Pooh said: "True,
It isn't much fun for One, but Two,
Can stick together, says Pooh, says he. "That's how it is," says Pooh.
poem by Alan Alexander Milne
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You're right—
234
You're right—"the way is narrow"—
And "difficult the Gate"—
And "few there be"—Correct again—
That "enter in—thereat"—
'Tis Costly—So are purples!
'Tis just the price of Breath—
With but the "Discount" of the Grave—
Termed by the Brokers—"Death"!
And after that—there's Heaven—
The Good Man's—"Dividend"—
And Bad Men—"go to Jail"—
I guess—
poem by Emily Dickinson
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Different Threats
I ONCE into a forest far
My maiden went to seek,
And fell upon her neck, when: "Ah!"
She threaten'd, "I will shriek!"
Then cried I haughtily: "I'll crush
The man that dares come near thee!"
"Hush!" whisper'd she: "My loved one, hush!
Or else they'll overhear thee!"
poem by Johann Wolfgang von Goethe
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There was one I met upon the road
There was one I met upon the road
Who looked at me with kind eyes.
He said, "Show me of your wares."
And this I did,
Holding forth one.
He said, "It is a sin."
Then held I forth another;
He said, "It is a sin."
Then held I forth another;
He said, "It is a sin."
And so to the end;
Always he said, "It is a sin."
And, finally, I cried out,
"But I have none other."
Then did he look at me
With kinder eyes.
"Poor soul!" he said.
poem by Stephen Crane
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J.o.a.t.
There's very little I cannot do
After making up my mind to do it
"Jill of all trades" (my best virtue)
It's not my nature to say "I quit"
Lest up front I say "Aw screw it"
ROTMS
(
Dedicated to women who "Go it alone")
View poems, images and video at;
ROTMS.blogspot.com
poem by Ray Lucero
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My Friend, The Parking Lot Attendant
—he's a dandy
—small moustache
—usually sucking on a cigar
he tends to lean into cars as he
transacts business
first time I met him, he said,
"hey! ya gonna make a
killin'?"
"maybe," I answered.
next meeting it was:
"hey, Ramrod! what's
happening?"
"very little," I told
him.
next time I had my girlfriend with me
and he just
grinned.
next time I was
alone.
"hey," he asked, "where's the young
chick?"
"I left her at home...."
"Bullshit! I'll bet she dumped
you!"
and the next time
he really leaned into the car:
"what's a guy like you doing driving a
BMW! I'll bet you inherited your
money, you didn't get this car with your
brains!"
"how'd you guess?" I
answered.
that was some weeks ago.
I haven't seen him lately.
feIlow like that, chances are he just moved on
to better
things.
poem by Charles Bukowski
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Intimacy
I hear people say, "I love my iPhone, "
Or, "I love drinking a Starbucks coffee."
Sometimes: "I love my Versace cologne, "
And also: "I love having this money."
I hear people say, "I love my Walmart, "
Or, "I love the drive-thru at Taco Bell."
"I love my TV. It's state of the art."
"I love the shoes that Nike has to sell."
I hear this: "I love American Idol, "
And, "I love a nice, cold Budweiser."
"I love medicines such as Demerol."
And, "I love my internet provider."
Yet, one thing I don't hear is, "I love you."
Saying that is too intimate to do.
poem by Tim Stensloff
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The Gardener XXVI: What Comes From Your Willing Hands
"What comes from your willing
hands I take. I beg for nothing
more."
"Yes, yes, I know you, modest
mendicant, you ask for all that one
has."
"If there be a stray flower for me
I will wear it in my heart."
"But if there be thorns?"
"I will endure them."
"Yes, yes, I know you, modest
mendicant, you ask for all that one
has."
"If but once you should raise your
loving eyes to my face it would make
my life sweet beyond death."
"But if there be only cruel
glances?"
"I will keep them piercing my
heart."
"Yes, yes, I know you, modest
mendicant, you ask for all that one
has."
poem by Rabindranath Tagore
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Revolt In The Ranks
I have just spent one-hour-and-a-half
handicapping tomorrow's
card.
when am I going to get at the poems?
well, they'll just have to wait
they'll have to warm their feet in the
anteroom
where they'll sit gossiping about
me.
"this Chinaski, doesn't he realize that
without us he would have long ago
gone mad, been dead?"
"he knows, but he thinks he can keep
us at his beck and call!"
"he's an ingrate!"
"let's give him writer's block!"
"yeah!"
"yeah!& quot;
"yeah!"
the little poems kick up their heels
and laugh.
then the biggest one gets up and
walks toward the door.
"hey, where are you going?" he is
asked.
"somewhere where I am
appreciated."
then, he
and the others
vanish.
poem by Charles Bukowski
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Another Acrostic ( In the style of Father William )
"Are you deaf, Father William!" the young man said,
"Did you hear what I told you just now?
"Excuse me for shouting! Don't waggle your head
"Like a blundering, sleepy old cow!
"A little maid dwelling in Wallington Town,
"Is my friend, so I beg to remark:
"Do you think she'd be pleased if a book were sent down
"Entitled 'The Hunt of the Snark?'"
"Pack it up in brown paper!" the old man cried,
"And seal it with olive-and-dove.
"I command you to do it!" he added with pride,
"Nor forget, my good fellow to send her beside
"Easter Greetings, and give her my love."
poem by Lewis Carroll
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The Subalterns
I
"Poor wanderer," said the leaden sky,
"I fain would lighten thee,
But there are laws in force on high
Which say it must not be."
II
--"I would not freeze thee, shorn one," cried
The North, "knew I but how
To warm my breath, to slack my stride;
But I am ruled as thou."
III
--"To-morrow I attack thee, wight,"
Said Sickness. "Yet I swear
I bear thy little ark no spite,
But am bid enter there."
IV
--"Come hither, Son," I heard Death say;
"I did not will a grave
Should end thy pilgrimage to-day,
But I, too, am a slave!"
V
We smiled upon each other then,
And life to me had less
Of that fell look it wore ere when
They owned their passiveness.
poem by Thomas Hardy
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If the foolish, call them "flowers"
168
If the foolish, call them "flowers"—
Need the wiser, tell?
If the Savants "Classify" them
It is just as well!
Those who read the "Revelations"
Must not criticize
Those who read the same Edition—
With beclouded Eyes!
Could we stand with that Old "Moses"—
"Canaan" denied—
Scan like him, the stately landscape
On the other side—
Doubtless, we should deem superfluous
Many Sciences,
Not pursued by learned Angels
In scholastic skies!
Low amid that glad Belles lettres
Grant that we may stand,
Stars, amid profound Galaxies—
At that grand "Right hand"!
poem by Emily Dickinson
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My Future
"Let's make him a sailor," said Father,
"And he will adventure the sea."
"A soldier," said Mother, "is rather
What I would prefer him to be."
"A lawyer," said Father, "would please me,
For then he could draw up my will."
"A doctor," said Mother, "would ease me;
Maybe he could give me a pill."
Said Father: "Lt's make him a curate,
A Bishop in gaiters to be."
Said Mother: "I couldn't endure it
To have Willie preaching to me."
Said Father: ""Let him be a poet;
So often he's gathering wool."
Said Mother with temper: "Oh stow it!
You know it, a poet's a fool."
Said Farther: "Your son is a duffer,
A stupid and mischievous elf."
Said Mother, who's rather a huffer:
"That's right - he takes after yourself."
Controlling parental emotion
They turned to me, seeking a cue,
And sudden conceived the bright notion
To ask what I wanted to do.
Said I: "my ambition is modest:
A clown in a circus I'd be,
And turn somersaults in the sawdust
With audience laughing at me."
. . . Poor parents! they're dead and decaying,
But I am a clown as you see;
And though in no circus I'm playing,
How people are laughing at me!
poem by Robert William Service
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The New Knighthood
Who gives him the Bath?
"I," said the wet,
Rank-Jungle-sweat,
"I'll give him the Bath!"
Who'll sing the psalms?
"We," said the Palms.
"Ere the hot wind becalms,
"We'll sing the psalms."
Who lays on the sword ?
"I," said the Sun,
Before he has done,
"I'll lay on the sword."
"Who fastens his belt?
"I," said Short-Rations,
" I know all the fashions
"Of tightening a belt!"
Who gives him his spur?
"I," said his Chief,
Exacting and brief,
"I'll give him the spur."
Who'll shake his hand?
"I," said the Fever,
"And I'm no deceiver,
"I'll shake his hand."
Who brings him the wine?
"I," said Quinine,
"It's a habit of mine.
"I'11 come with his wine."
Who'll put him to proof?
"I," said All Earth.
"Whatever he's worth,
"I'll put to the proof."
Who'll choose him for Knight?
"I," said his Mother,
"Before any other,
"My very own Knight."
And after this fashion, adventure to seek,
Sir Galahad was made--as it might be last week!
poem by Rudyard Kipling
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