Archive for February, 2007

Turing’s mordant syllogism…

Monday, February 12th, 2007

(In a letter to his friend Norman Routledge, 1952):

Turing believes machines think
Turing lies with men
Therefore machines do not think

Pi, all the following digits are also initial.

Monday, February 12th, 2007

Pi poem

The admirable number pi:
three point one four one.
All the following digits are also initial,
five nine two because it never ends.
It can’t be comprehended six five three five at a glance,
eight nine by calculation,
seven nine or imagination,
not even three two three eight by wit, that is, by comparison
four six to anything else
two six four three in the world.
The longest snake on earth calls it quits at about forty feet.
Likewise, snakes of myth and legend, though they may hold out a bit
The pageant of digits comprising the number pi
doesn’t stop at the page’s edge.
It goes on across the table, through the air,
over a wall, a leaf, a bird’s nest, clouds, straight into the sky,
through all the bottomless, bloated heavens.
Oh how brief – a mouse tail, a pigtail – is the tail of a comet!
How feeble the star’s ray, bent by bumping up against space!
While here we have two three fifteen three hundred nineteen
my phone number your shirt size the year
nineteen hundred and seventy-three the sixth floor
the number of inhabitants sixty-five cents
hip measurement two fingers a charade, a code,
in which we find hail to thee, blithe spirit, bird thou never wert
alongside ladies and gentlemen, no cause for alarm,
as well as heaven and earth shall pass away,
but not the number pi, oh no, nothing doing,
it keeps right on with its rather remarkable five,
its uncommonly fine eight,
its far from final seven,
nudging, always nudging a sluggish eternity
to continue.

Wislawa Szymborska (Polish Nobel Laureate: 1996)

Math and Philosophy, the combination for understanding the world according to Leibniz

Monday, February 12th, 2007

Sans les mathématiques on ne pénètre point au fond de la philosophie.Sans la philosophie on ne pénètre point au fond des mathématiques.Sans les deux on ne pénètre au fond de rien. — Leibniz.

Without mathematics we cannot penetrate deeply into philosophy.Without philosophy we cannot penetrate deeply into mathematics.Without both we cannot penetrate deeply into anything. — Leibniz. From Gregory Chaitin’s webpage.