Saturday, February 22, 2014

Isomorphism: a way to understand god

"Every group is isomorphic to a group of permutations"

Cayley, 1854

Tuesday, April 2, 2013

When joy and sorrow are one

I coined the word 'eucatastrophe': the sudden happy turn in a story which pierces you with a joy that brings tears (which I argued it is the highest function of fairy-stories to produce). And I was there led to the view that it produces its peculiar effect because it is a sudden glimpse of Truth, your whole nature chained in material cause and effect, the chain of death, feels a sudden relief as if a major limb out of joint had suddenly snapped back. It perceives – if the story has literary 'truth' on the second plane (....) – that this is indeed how things really do work in the Great World for which our nature is made. And I concluded by saying that the Resurrection was the greatest 'eucatastrophe' possible in the greatest Fairy Story – and produces that essential emotion: Christian joy which produces tears because it is qualitatively so like sorrow, because it comes from those places where Joy and Sorrow are at one, reconciled, as selfishness and altruism are lost in Love.
Letter 89, J.R.R. Tolkien

Thursday, January 17, 2013

We created God. And God created us.

I admire the human spirit, for its capacity of creating and its desire to ascend. For its urge to know and its dexterity of producing beautiful things.

I admire the human spirit
for its sense of justice
and its ability to love.

The man is God, and the man thought of a God which is beauty, perfection, love, knowledge and peace. And now, God exists. And by following God's example we can be better people, better lovers, better parents. So I bless the man, and I bless God. Let us build a world with more love, happiness and respect for each other.

Friday, January 11, 2013

Child's eyes

What do you see?
Can you tell me?

What's all around us?
Can you tell me?

I know it must be great.

Can you put your foot
behind your head?

Let's jump and shout
around, then run
for an ice cream.

Tell me son,
did you like it?

You can't tell,
but I see your
wide eyes

Sure, it's awesome.

Tuesday, February 7, 2012

Rattle and snake

I don't belong to any group,
she said, I just belong to myself, she said.

Her eyes lingered on my eyes,
then on her glass of beer. She turned back to me.

Definitely an engaging contradiction.

Today, there is a group for every individual.
I said. - I was thinking to long tail statistics
and power laws. I was thinking of solitude and hope.

The longing for an undefined sense of happiness,
and the comforting feeling of acknowledgment ... or maybe acceptance.

Not so uncommon in people after all.
Not uncommon at all.

Could not keep up with myself,
just dropped that thing there.
Waiting for her answer.

Her eyes looked back,
she looked at me with curiosity.

I despise poor people,
She darted at me. I liked that.

She was looking for humanity
and reason, and she searched
that within me, that night.

Not sure she found it.
Well, it was a half
baked conversation anyway.
Noone's fault. Sometimes it just goes that way, no matter how hard you try.

She entered the movie theater.
I waived to the barman - a good man -
and went back home.

Thursday, January 5, 2012

Movie mice and bar flies

I met a psychologist,
useful. says Enith.

we spoke about movies,
the impact of media in people's opinions,
and about the history of nations and democracies,

the ides of march
and the death of Cesar,
the first eruption of the Etna this year,

corruption and the lightness of beings
very nice. More to be said.

more to enjoy,
red reading glasses and blond hair
composed face, vibrant soul,
soothing and inspiring,

the elation to the higher
the calm knowledge of time.

fargo is rated 8.3 on imdb.
tomorrow? i'd love to ...

Tuesday, January 3, 2012

Euler product formula

The Euler product formula can be used to calculate the asymptotic probability that s randomly selected integers are set-wise coprime. Intuitively, the probability that any single number is divisible by a prime (or any integer), p is 1/p.

Hence the probability that s numbers are all divisible by this prime is 1/p^s, and the probability that at least one of them is not is 1 − 1/p^s. Now, for distinct primes, these divisibility events are mutually independent because the candidate divisors are coprime (a number is divisible by coprime divisors n and m if and only if it is divisible by nm, an event which occurs with probability 1/(nm).)

Thus the asymptotic probability that s numbers are coprime is given by a product over all primes,