Don’t be concerned about being disloyal to your pain by being joyous.
— Pir Vilayat Inayat Khan
|
1 November 2011

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Listen first, lest you prejudge...
Ariel from the Tempest Fantasy of
Paul Moravec, born this day in 1957. Music that rides a wave
of excitement and joy, bursting at the seams with enthusiasm.
Moravec has struggled against more-than-garden-variety depression,
resisting suicide, enduring hospitals, helped by electro-shock therapy
despite its effect on memory. He associates the Tempest Fantasy
with a willful recovery.
“I used my imagination to come back to health, to move from despair to
hope.”
San Francisco Chronicle article|
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2 November 2011

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Only selflessness is real
«Le premier devoir du chef est d’être aimé sans séduire. Être aimé sans séduire, même soi.»
“The most important thing for a leader is to make himself loved without pandering to anyone, even himself.”
— André Malraux, born this day in 1901
Dans un univers passablement absurde, il y a quelque chose qui
n’est
pas absurde, c’est ce que l’on peut faire pour les autres.
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3 November 2011

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The Knot
Deciphering and encoding, to translate, fabricate, revise; the abstract
star, the real star;
crossing over boundaries we’d never known were there until we found
ourselves beyond them.
A fascination first: this was why the dream existed, so our definitions
would be realized.
Then more than fascination as we grasped how dream could infiltrate the
mundane with its radiance.
There’d be no mundane anymore: wholly given to the dream, our
debilitating skepticisms overcome,
we’d act, or would be acted on – the difference
would have been annulled -
with such purity of motive and such temperate desire that outcome would
result from inspiration with the same illumination that the notion of
creation brings when it first comes upon us.
No question now of fabricating less ambiguous futures, no trying to
recast recalcitrant beginnings.
It would be another empire of determination, in which all movement would
be movement towards –
mergings, joinings – and in which existence would be generated from the
qualities of our volition:
intention flowing outwards into form and back into itself in intricate threadings and weavings,
intuitions shaped as logically as crystal forms in rock, a linkage at
the incandescent core,
knots of purpose we would touch into as surely as we touch the rippling
lattices of a song.
No working out of what we used to call identity; our consummations would
consist of acts,
of participating in a consciousness that wouldn’t need, because it grew
from such pure need,
acknowledgment or subject: we’d be held in it, always knowing there were
truths beyond it.
Cleansed even of our appetite for bliss, we’d only want to know the
ground of our new wonder,
and we wouldn’t be surprised to find that it survived where we’d known it
had to all along,
in all for which we’d blamed ourselves, repented and corrected, and
never for a moment understood.
— C. K. Williams,
75 years old today
for
Suzanne
|
4 November 2011

|
LIGO and LISA
Gravity waves are potentially a new eye on the sky, complementing
light-based telescopes and radio telescopes to see things they cannot.
Gravity waves could detect the distribution of ‘dark matter’ about which
nothing is known (because it is dark). Gravity waves could peek
inside the clouds of gas and stars where black holes form; and it’s even
possible that gravity waves could teach us something about the big bang.
But gravity waves’ effects are very weak. Very very weak.
Very very very weak. The distortion in space-time when a gravity
wave passes through from a catastrophic event in another galaxy is about
1 part in 1021. So if your gravity wave telescope is a 2-mile
evacuated tube, then you’re looking for changes in the tube length that
are 100 million times smaller than an atom, or 1,000 times smaller than
a proton in the center of the atom. That’s
LIGO, located at twin
sites in Washington State and Louisiana, so that monitors can throw out
the false signals that might arise in one site but not the other.
How do you measure motions 100 million times smaller than an atom?
They do it with mirrors.
Wouldn’t it be nice if you could space your mirrors 2
million miles apart instead of 2 miles apart? That’s the plan for
LISA: three identical satellites to be launched into orbit
around the sun, spaced in an equilateral triangle 5 million KM on a
side, each bouncing laser light off mirrors on the other two, picking it
up again when it returns half a minute later, roughly.
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5 November 2011

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An end to secrecy
Democracy works. People may not be saints or geniuses, but
they’re smart enough and their judgment is sound enough, if they have
recourse to the truth, to demand good governance.
The American Congress could pass a single law that would turn the
country back on course, back toward its better self and its higher
destiny in the world, toward peace, justice and an equitable economic
system.
That would be an end to secrecy in all arms of
government.
Article I: All that is ‘classified’ is hereby unclassified.
The FOIA applies to every piece of paper generated by every civil
servant at every level of government. All documents are public
documents.
Article II: Every elected official, in Federal, state and
municipal governments, as a condition of holding public office, shall
consent to be accompanied by a video recorder, broadcast live and
continuously, 24/7 in real time on an open and publicly-accessible web
site.
— Josh Mitteldorf
Someday this great nation will harness its full world power in the
service of helping rather than killing.
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6 November 2011

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Trotsky
Neither the Western Capitalists nor the Soviet appartchiks
have anything good to say about Leon Trotsky, but humanitarian
socialists today wonder if the Russians in 1924 narrowly missed an
opportunity to be led by a wise, good-hearted social philosopher.
Was he an idealist who might have led the Soviet Union in a very
different direction if Joseph Stalin had not brutally seized control of the
government in his stead on Lenin’s death? Or was he arrogant,
impractical and intellectually removed from the realistic requirements
of leadership, as his detractors, left and
right, continue to insist?
David North writes about Trotsky on the World
Socialist Web Site.
We must rid ourselves once and for all of the
Quaker-Papist babble about the sanctity of human life.
—Лев Давидович Троцкий
As long as I breathe I shall fight for the future,
that radiant future, in which man, strong and beautiful, will become
master of the drifting stream of his history and will direct it towards
the boundless horizons of beauty, joy and happiness!
—Лев Давидович Троцкий, born this day in 1879
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7 November 2011

|
Consider the octopus
The world’s most intelligent invertebrate carries 2/3 of its brain in its
feet,
and the other third wrapped around its stomach.
Woods Hole Marine Biological Laboratory and University of Washington
researchers found that the skin of the cuttlefish Sepia officinalis,
a color-changing cousin of octopuses, contains gene sequences usually
expressed only in the light-sensing retina of the eye. In other words,
cephalopods—octopuses, cuttlefish, and squid—may be able to see with
their skin.
The American philosopher Thomas Nagel once wrote a famous paper titled
“What Is It Like to Be a Bat?” Bats can see with sound. Like dolphins,
they can locate their prey using echoes. Nagel concluded it was
impossible to know what it’s like to be a bat. And a bat is a fellow
mammal like us—not someone who tastes with its suckers, sees with its
skin, and whose severed arms can wander about, each with a mind of its
own. Nevertheless, there are researchers still working diligently to
understand what it’s like to be an octopus.
—
Article in Orion by Sy Montgomery
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8 November 2011

|
Looking death in the face
Six times now I have looked Death in the face and six times Death has
averted his gaze and let me pass. Eventually, of course, Death
will claim me - as he does each of us. It’s only a question of
when and how.
I’ve learned much from our confrontations—specially
about the beauty and sweet poignancy of life, about the preciousness of
friends and family, and about the transforming power of love. In
fact, almost dying is such a positive experience that I’d recommend it
to everybody, except, of course, for the irreducible and essential
element of risk.
— Carl Sagan, born this day in 1934
We are a way for the Cosmos to know itself.
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9 November 2011

|
Sublime Generosity
I was dead, then alive.
Weeping, then laughing.
The power of love came into me,
and I became fierce like a lion,
then tender like the evening star.
He said, ‘You’re not mad enough.
You don’t belong in this house.’
I went wild and had to be tied up.
He said, ‘Still not wild enough
to stay with us!’
I broke through another layer
into joyfulness.
He said, ‘Its not enough.’
I died.
He said, ‘You are a clever little man,
full of fantasy and doubting.’
I plucked out my feathers and became a fool.
He said, ‘Now you are the candle
for this assembly.’
But I’m no candle. Look!
I’m scattered smoke
He said, ‘You are the Sheikh, the guide.’
But I’m not a teacher. I have no power.
He said, ‘You already have wings.
I cannot give you wings.’
But I wanted his wings.
I felt like some flightless chicken.
Then new events said to me,
‘Don’t move. A sublime generosity is
coming towards you.’
And old love said, ‘Stay with me.’
I said, ‘I will.’
You are the fountain of the sun’s light.
I am a willow shadow on the ground.
You make my raggedness silky.
The soul at dawn is like darkened water
that slowly begins to say Thank you, thank you.
Then at sunset, again, Venus gradually
Changes into the moon and then the whole nightsky.
This comes of smiling back
at your smile.
The chess master says nothing,
other than moving the silent chess piece.
That I am part of the ploys
of this game makes me
amazingly happy.
.
— Rumi,
rendered by Coleman Barks
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10 November 2011

|
Chamber Music and Love Birds
As a chamber musician, I’ve known moments when I felt an exquisite
and ineffable bond to those with whom I am making music. Playing
and listening, listening and playing, we fall into a synchrony that
allows our individual expression to be governed by a single purpose.
Often the people I play with are not close to me in other ways.
Curiously, I have found that some of the best chamber musicians are
Aspberger types with impaired social skills, who have trouble connecting
on other channels.
Today I read that Natural Selection has discovered chamber music as a
way perhaps to enhance pair bonding, perhaps to select a compatible
mate. Most birds sing solos. Wrens in the Andes sing duets.
Part of the ritual between mating pairs involves coordinated singing,
call and response in which the two birds together create a single
melody. Audio and video clips from Science
here.
Eric Fortune of Johns Hopkins University
writes
in Science Magazine:
These results suggest that heterogenous acoustic
cues modulate the motor program for singing on a syllable-by-syllable
basis and that
these sensory cues affect at least the duration and variability of
intersyllable intervals. These behavioral data therefore also suggest
that the nervous system is not using a fixed-action pattern to generate
duet song but relies on a unique combination of sensory feedback from
both autogenous and heterogenous sources.
Translation: They are attending to each others’ songs, and
responding like lovers.
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11 November 2011

|
A rich nation
The people of the United States and their government are made
artificially poor by our monetary system, and the banks that control it.
40% of everything we buy is siphoned off by banks. 50% of
everything the Federal government spends money on is siphoned off by the
banks. We have ceded power and $ to the Fed.
Governments - state and federal - could bypass the interest tab by
setting up their own publicly owned banks. Banking would become a public
utility, a tool for promoting productivity and trade rather than for
extracting wealth from the debtor class.
Congress could go further: it could reclaim the power to issue money
from the banks and fund its budget directly. It could do this, in fact,
without changing any laws.
—
Article
by Ellen Brown
Brown goes on to suggest that the Federal government could use its
expanded riches to fulfill FDR’s vision:
- End poverty
- Provide guaranteed employment for all
- Universal health coverage
...and imagine what we could fund if we desisted from war.
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12 November 2011

|
Much like grace
I offer you the choice to regard the mystery of your experience in
this moment with awe and transcendent wonder.
— Josh Mitteldorf
I believe that I may offer it to you without
necessarily owning it myself.
|
13 November 2011

|
One woman’s plan for a better future
Rockstar goddess of postcolonial studies. Leading feminist Marxist
scholar of our time. Gadfly of subaltern studies: her seminal paper,
“Can The Subaltern Speak?” seeded a thousand dissertations. Irreverent,
iconoclastic, unfailingly taboo-busting, Gayatri Chakravorty Spivak is a
study in highwire intellectual risk-taking. As University Professor of
the Humanities at Columbia University, one of the world’s most elitist
academic institutions, she trains upper-class graduate imaginations for
epistemological performance. At the other end of the global spectrum,
she has, for three decades, pursued the painstaking, backbreaking
project of creating and sustaining schools for rural children in Western
Bengal.
- Shailja Patel
I want to understand something about bypassing the necessity of good
rich people solving the world’s problems. Good rich people are dependent
on bad people for the money they use to do this. And the good rich
people’s money mostly goes to bad rich people. Beggars receive material
goods to some degree and remain beggars. My desire is to produce problem
solvers, rather than solve problems. In order to do this, I must
continue to teach teachers, current and future, with devotion and
concentration, at the schools that produce the good rich people –
Columbia University – and the beggars, seven unnamed elementary schools
in rural Birbhum, a district in West Bengal. This work cannot be done
with an interpreter, and India is multilingual. I must understand their
desires, not their needs, and with understanding and love try to shift
them. That is education in the humanities.
—
Gayatri Chakravorti Spivak
The most important thing is to welcome the loss of control.
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14 November 2011

|
19 Kisses
Johannes Secundus, born 500 years ago this day, died before his 25th
birthday,
and left us 19 poems, all on the bliss of the kiss, and each one
presaging his own death. This is #4:
’Tis not a Kiss you give, my Love!
’Tis richest nectar from above!
A fragrant show’r of balmy dews,
Which thy sweet lips alone diffuse!
’Tis ev’ry aromatic breeze
That wafts from Afric’s spicy trees!
’Tis honey from the ozier hive,
Which chymist bees with care derive
From all the newly-open’d flow’rs
That bloom in Cecrops’ roseate bow’rs,
Or from the breathing sweets that grow
On fam’d Hymettus’ thymy brow:
But if such kisses you bestow,
If from your lips such raptures flow,
Thus blest! supremely blest by thee!
Ere long I must immortal be;
Must taste on earth those joys that wait
The banquets of celestial state.
Then cease thy bounty, dearest fair!
Such precious gifts, then, spare! oh spare!
Or, if I must immortal prove,
Be thou immortal, too, my love!
For, should the heav’nly Pow’rs request
My presence at th’ ambrosial feast;
Nay, should they Jove himself dethrone,
And yield to me his radiant crown;
I’d scorn it all, nor would I deign
O’er golden realms of bliss to reign:
Jove’s radiant crown I’d scorn to wear,
Unless thou mightst such honours share;
Unless thou, too, with equal sway.
Mightst rule with me the realm of day.
— in an
18th century translation from the Latin by AN (?),
whom I have not been able to identify
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15 November 2011

|
Hindemith?
I’ve obsessed so long worrying whether Hindemith is really inspiring
that it’s no longer his birthday. It’s true that it’s a rare
Hindemith piece that makes you want to whistle, or that grabs you the
first time you hear it. Here’s an exception, perhaps: The
Music for Strings
and Brass, with Bernstein conducting the Israel Philharmonic.
You can imagine it’s Bartok or, at times, Shostakovich.
Hindemith was a disciplined and systematic composer, and
wrote a book explaining his system. He wrote a sonata for
every instrument in the orchestra, all very different and thoughtful in
response to each instrument’s voice and technique.
When I’ve taken time to become familiar with a Hindemith piece with
repeated listenings, it’s always been rewarding. Here’s a movement
from the Horn
Sonata that made no sense to me until I listened a few dozen times,
after which I could hear exposition, development, recapitulation and
coda - all perfectly clear
Paul Hindemith was born 16 November, 1895.
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16 November 2011

|
Travel
For many years, at great cost, I traveled through many countries, saw the high mountains, the oceans.
The only things I did not see were the sparkling dewdrops in the grass just outside my door.
— Rabindranath Tagore
|
17 November 2011

|
Yesterday’s idea for Tomorrow’s Better World
The process of leading men’s thought and imagination away from the
use of force will be greatly accelerated by the abolition of the
capitalist system, provided it is not succeeded by a form of State
Socialism in which officials have enormous power. At present, the
capitalist has more control over the lives of others than any man ought
to have; his friends have authority in the State; his economic power is
the pattern for political power. In a world where all men and women
enjoy economic freedom, there will not be the same habit of command,
nor, consequently, the same love of despotism; a gentler type of
character than that now prevalent will gradually grow up. Men are formed
by their circumstances, not born ready- made. The bad effect of the
present economic system on character, and the immensely better effect to
be expected from communal ownership, are among the strongest reasons for
advocating the change.
— from Proposed
Roads to Freedom, by Bertrand Russell, 1918
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18 November 2011

|
The most famous scientist you’ve never heard of
Born 300 years ago today,
Mikhail
Lomonosov was surely Russia's first modern scientist, yet he remains
strangely unknown outside his homeland.
He was one of the most far-sighted, polymathic and colourful
scientists who ever lived. Far-sighted, because he pioneered the use of
quantitative research methods. Polymathic, because though he died at
just 53 he contributed to physics, chemistry, astronomy, metallurgy,
mining, poetry, literature, mosaics, glassblowing, meteorology,
electricity, grammar and history – and built a chemical laboratory,
glass factory and flying machine. Colourful, because of irreverent
antics and a hot temper.
— Robert
Crease writing for Physics World
Lomonosov debunked the popular phlogiston theory – that heat was a
form of matter and had weight – by heating metals in a vacuum and then
in air, comparing the mass before and after. He created a huge
mosaic depicting the Battle of Poltava. He also wrote poetry.
Песчинка как в морских волнах,
Как мала искра в вечном льде,
Как в сильном вихре тонкий прах,
В свирепом как перо огне,
Так я, в сей бездне углублен,
Теряюсь, мысльми утомлен! |
A grain of sand in ocean swells,
A tiny glint in endless ice,
Fine ash caught in a mighty gale,
A feather in a raging fire,
So I am lost in this abyss,
Transported by thoughts profound.
|
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19 November 2011


|
Are electrons real? Are wave functions real?
Before Quantum Mechanics, physicists agreed with our intuitive sense
that there is an objective world made of matter moving through space.
Atoms were made of electrons, neutrons, and protons, and they were tiny
particles, and physicists sensibly wanted to ask where they were at any
given time and how they were moving.
Then in 1926, the Quantum Theory came along, and very accurately
predicted the spectra of atoms, which was the only thing that could be
measured. But in quantum theory it was not sensible to ask directly
where an electron was or how it was moving. These quantities could
predicted only on average, as probabilities. The probabilities were
computed from a Wave Function that had an “amplitude” everywhere in
space. But it’s not as though the amplitude were an electric field you
could feel or a physical presence – it was just an abstraction, but one
that (in the theory) contained all the information there was to be had
about the particle: from the wave amplitude, it is possible to compute
probabilities that a measurement of the electron’s position would come
out such and such, or that a measurement of its speed would come out
thus and so, and (in the theory) this was all that it was possible to
know.
Quantum Mechanics comprised a complicated equation for how the wave
amplitude changes in response to physical forces, and also a set of
simpler (but seemingly nonsensical) rules for how to calculate
probabilities for results of our measurements from the wave amplitude.
There arose a controversy that divided the physics community: Are the
electrons real, and the wave amplitudes just a device for calculating
where they are? Or is it the wave amplitudes that are the ultimate
reality, and particle measurements are just the occasional glimpses that
we catch of the wave amplitude along the way?
The controversy continues to rage in the present. Physicists have
developed the quantum theory until more and more stuff can be
calculated, but there is no agreement on the basic question of what it
means, or whether the wave amplitudes are a fundamental reality or just
a computational device.
Last week, three young British physicists published a paper purporting
to prove that it is the wave function that is real, the particles
secondary. For many physicists, this won’t be a surprise; but it
underscores the strangest aspects of QM.
The strangest thing about the wave function for multiple particles is
that it presents not a separate probability for each particle, but a joint
probability for all the particles to be where they are, doing what they
are doing. The wave function links all particles that are interacting,
or have ever interacted with each other. Every time you look at any one
particle, the entire wave function changes, meaning that it’s not just
the particle you looked at that moves, but everything else as well.
Quantum mechanics as it is usually implemented includes a lot of
randomness, and only predicts probabilities, and not behavior of
individual particles. But that’s not because randomness is built into
the physics. It’s because everything in the world is connected in
unfathomably intricate ways, while we, in order to preserve our sanity,
insist on looking at one piece at a time.
— JoshMitteldorf
|
20 November 2011

|
Voltaire
mistranslations of a cynic
« L’instant où nous naissons est un pas vers la mort.»
“Every moment in which we are not being reborn is a step closer to death.”
«Les vérités sont des fruits qui ne doivent être cueillis que bien murs.»
“Truths are not fruits to be gathered, but feasts
to be relished.”
« Le superflu, chose si nécessaire. »
“Things that seem necessary are in truth but
garnish.”
« La loi naturelle est l’instinct qui nous fait
sentir la justice. »
“Our innate sense of justice: the source of all
natural law.”
– with apologies to François-Marie Arouet, who was born this day in 1694.
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21 November 2011

|
Aviary
At dawn a complaining crow awakens me
you have already left our bed,
placing a kiss upon my cheek
before going downstairs
I remember the cool wet mark
your lips left behind
and the sweetness of your skin
before I drift back to sleep
Why am I ungrateful
for the little pleasures
always wanting more?
What will soothe the cawing
that claws at my throat
resolving it into song?
Are not my own silky black feathers
magnificence enough?
In my dream, the nagging crow
becomes a mockingbird, and then a dove
and a strutting rooster and
a robin, celebrating the innocence of a new day.
I awake with sun in my window
shining full upon my face.
— Kathryn Hunt, Enid Kassner, Josh Mitteldorf
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22 November 2011

|
Mothers Day comes Early this Year
Scientists are devoting countless research hours to treatments
based on embryonic stem cells, differentiating these blank-slate cells
from embryos into brain cells, light-sensing retinal cells, blood cells,
and more to replace damaged or destroyed tissues in the body. Now, a new
study in mice shows such that nature has arrived at just such a
solution, too: When a pregnant mouse has a heart attack, her fetus
donates some of its stem cells to help rebuild the damaged heart tissue.
—
Article in Discover Magazine
(Almost as cool as the fact that this could happen is the clever
experiment that demonstrated it.)
|
23 November 2011

|
Gratitude
“Gratitude or thankfulness is love’s desire or endeavor
to do good to someone who has done us a service out of
an equal love affect.”
— Baruch Spinoza, born this day in 1632
|
24 November 2011

|
You were made for this
We were made for these times. For years, we have been learning,
practicing, been in training for and just waiting to meet on this exact
plain of engagement.
Ours is not the task of fixing the entire world all at once, but of
stretching out to mend the part of the world that is within our reach.
Any small, calm thing that one soul can do to help another soul, to
assist some portion of this poor suffering world, will help immensely.
It is not given to us to know which acts or by whom, will cause the
critical mass to tip toward an enduring good.
We are needed, that is all we can know. And though we meet
resistance, we more so will meet great souls who will hail us, love us
and guide us, and we will know them when they appear.
In my uttermost bones I know something, as do you. It is that there
can be no despair when you remember why you came to Earth, who you
serve,
—
Clarissa Pinkola Estes
|
25 November 2011

|
Biology ¹ physics
These two articles appeared come from unrelated sources, but their
messages cohere. The first affirms reasons to doubt the notion that our
mental activity is some kind of sophisticated computation, or that
computers can ever become flexibly intelligent, let alone conscious. The
second is an interview about the way in which animals experience the
world, and what we might know of animal consciousness.
Namit Arora: The Minds of Machines
Tim Crane: Animal Minds
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26 November 2011

|
Faith and fallibility
Put your ideas out with confidence and enthusiasm. Throw yourself
behind your work, and believe in its value. Be ready to turn on a dime
when confronted with evidence that you are mistaken.
— Josh Mitteldorf
|
27 November 2011

|
The Experiment
Objective: To explore the secrets of
becoming a wildly disciplined, fiercely tender, ironically sincere,
scrupulously curious, aggressively sensitive, blasphemously reverent,
lyrically logical, lustfully compassionate Master of Rowdy Bliss.
Hypothesis: Evil is boring. Cynicism is
idiotic. Fear is a bad habit. Despair is lazy. Joy is fascinating. Love
is an act of heroic genius. Pleasure is your birthright. Receptivity is
a superpower.
Procedure: Act as if the universe were a
prodigious miracle created for your amusement and illumination. Assume
that secret helpers are working behind the scenes to assist you in
turning into the gorgeous masterpiece you were born to be. Join the
conspiracy to shower all of creation with blessings.
— Rob Brezsny, from introduction to his
book about
Pronoia
Definition: Pronoia is the antidote for
paranoia. It’s the understanding that the universe is fundamentally
friendly. It’s a mode oft raining your senses and intellect so you’re
ale to perceive the fact that life always gives you exactly what you
need exactly when you need it.
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28 November 2011

|
Hymn of the Earth
My highway is unfeatured air,
My consorts are the sleepless stars,
And men my giant arms upbear,
My arms unstained and free from scars.
I rest forever on my way,
Rolling around the happy Sun;
My children love the sunny day,
But noon and night to me are one.
My heart has pulses like their own,
I am their mother, and my veins,
Though built of the enduring stone,
Thrill as do theirs with godlike pains.
The forests and the mountains high,
The foaming ocean and the springs,
The plains O pleasant Company,
My voice through all your anthem rings.
Ye are so cheerful in your minds,
Content to smile, content to share:
My being in your chorus finds
The echo of the spheral air.
No leaf may fall, no pebble roll,
No drop of water lose the road;
The issues of the general Soul
Are mirrored in its round abode.
—
William Ellery Channing, born this day in 1818
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29 November 2011

|
Math and music
Alexander Lyapunov (1857-1918) worked out criteria for the stability
of a system of gravitating masses. The take-home message is that
stability is a rarity. He also proved the astounding
Central Limit Theorem: Start with any crazy, misshapen probability
distribution you like. Create a population of copies of this same
distribution, and ask for the probability distribution of the average of
that population. As the population gets larger, the probability
distribution tends rapidly toward the standard bell-shaped curve, no
matter what distribution you started with.
Alexander’s brother Sergei, born this day in 1859 was a pianist, composer and
conductor. His compositions are romantic, occasionally mystical,
heartfelt and masterful if not original. He was devoted to the
emerging Russian nationalist movement, despaired the 1917 revolution and
removed himself to Paris.
In 1910, Sergei recorded a few piano pieces on the
Welte-Mignon, a
state-of-the-art piano roll that captured nuances of timing and
expression.
This is #12 from his Transcendental Etudes, dedicated to Franz
Liszt, in a modern re-creation of Lyapunov’s own recording.
My favorite of the Lyapunov pieces I’ve discovered
today is this
Nocturne, 3rd movement of his Piano Sextet.
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30 November 2011

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