Log24

Thursday, March 17, 2011

Remarks on Reality

Filed under: General,Geometry — Tags: — m759 @ 9:12 am

Conclusion of “The Place of Pure Mathematics” —

“Dogmas and philosophies, it would seem, rise and fall. But gradually accumulating throughout the ages, from the earliest dawn of history, there is a body of doctrine, a reasoned insight into the relations of exact ideas, painfully won and often tested. And this remains the main heritage of man; his little beacon of light amidst the solitudes and darknesses of infinite space; or, if you prefer, like the shout of children at play together in the cultivated valleys, which continues from generation to generation.

Yes, and continues for ever! A universe which has the potentiality of becoming thus conscious of itself is not without something of which that which we call memory is but an image. Somewhere, somehow, in ways we dream not of, when you and I have merged again into the illimitable whole, when all that is material has ceased, the faculty in which we now have some share, shall surely endure; the conceptions we now dimly struggle to grasp, the joy we have in the effort, these are but part of a greater whole. Some may fear, and some may hope, that they and theirs shall not endure for ever. But he must have studied Nature in vain who does not see that our spiritual activities are inherent in the mighty process of which we are part; who can doubt of their persistence.

And, on the intellectual side, of all that is best ascertained, and surest, and most definite, of these; of all that is oldest and most universal; of all that is most fundamental and far-reaching, of these activities, Pure Mathematics is the symbol and the sum.”

— From a 1913 address by geometry saint Henry Frederick Baker, who died on this date in 1956

The feast of another saint, Patrick, also falls on 3/17.  The date itself is related, if only by chance, to the following remark—

“317 is a prime, not because we think so,
or because our minds are shaped in one way
rather than another, but because it is so,
because mathematical reality is built that way.”

— From a 1940 book by the somewhat less saintly number theorist G. H. Hardy

Wednesday, March 17, 2010

Prime Directive

Filed under: General,Geometry — m759 @ 4:01 pm

Rigor

“317 is a prime, not because we think so,
or because our minds are shaped in one way
rather than another, but because it is so,
because mathematical reality is built that way.”

 – G. H. Hardy,
A Mathematician’s Apology

The Ratzinger brothers in Germany, Sept. 11, 2006

The above photo is taken from
a post in this journal dated
March 10, 2010.

This was, as the Pope might say,
the dies natalis  of a master gameplayer–

New York Times, March 16, 2010–

Tim Holland, Backgammon Master,
Dies at 79

By DENNIS HEVESI

Tim Holland, who was widely considered the world’s greatest backgammon player during that ancient board game’s modern heyday, in the 1960s and ’70s, died on March 10 at his home in West Palm Beach, Fla. He was 79. <<more>>

In Holland's honor, a post
from Columbus Day, 2004

Tuesday October 12, 2004

11:11 PM

 Time and Chance

Today’s winning lottery numbers
in Pennsylvania (State of Grace):

Midday: 373
Evening: 816.

New Yorker cartoon-- Heavenly chessboard-- Man peering over the edge sees backgammon board

A quote from Holland on backgammon–

"It’s the luck factor that seduces everyone
into believing that they are good,
that they can actually win,
but that’s just wishful thinking."

For those who are, like G.H. Hardy,
suspicious of wishful thinking,
here is a quote and a picture from
Holland's ordinary  birthday, March 3

"The die is cast." — Caesar

Group of 8 cube-face permutations generated by reflections in midplanes parallel to faces

Tuesday, June 19, 2007

Tuesday June 19, 2007

Filed under: General — Tags: — m759 @ 3:17 pm

 Faustus is gone:
regard his hellish fall

Marlowe

I have just read, in the New York Times Book Review that arrived in yesterday's mail, a review of Segre's Faust in Copenhagen.  The review, on news stands next Sunday, was titled by the Times "Meta Physicists."

On Faust— today's noon entry and yesterday's "Nightmare Lessons."

On "Meta Physicists"– an entry of June 6, on Cullinane College, has a section titled "Meta Physics."

On Copenhagen— an entry of Bloomsday Eve, 2004 on a native of that city.

Another Dane:

"Words, words, words."
Hamlet

Another metaphysics:

"317 is a prime,
not because we think so,
or because our minds
are shaped in one way
rather than another,
but because it is so,
because mathematical
reality is built that way."

 — G. H. Hardy,
A Mathematician's Apology

Wednesday, March 17, 2004

Wednesday March 17, 2004

Filed under: General — Tags: — m759 @ 4:31 pm

Readings for
St. Patrick's Day

Books:

Finnegans Wake (1939)

Gravity's Rainbow (1978)

Masks of the Illuminati (1981)

Quotations:

"Nature does not know extinction;
all it knows is transformation.
Everything science has taught me,
and continues to teach me,
strengthens my belief in
the continuity of our
spiritual existence
after death."

Wernher von Braun

"I faced myself that day
with the nonplused apprehension
of someone who has
come across a vampire
and has no crucifix in hand."

— Joan Didion, "On Self-Respect,"
in Slouching Towards Bethlehem

 

"For every kind of vampire,
there is a kind of cross.
"

— Thomas Pynchon,
Gravity's Rainbow

Inscribed
Carpenter's Square:

In Latin, NORMA

Multa renascentur quae iam cecidere, cadentque
quae nunc sunt in honore uocabula, si uolet usus,
quem penes arbitrium est et ius et norma loquendi.

Horace, Ars Poetica

Many terms will be born again
that by now have sunk into oblivion,
and many that are now held in respect
will die out if that is what use should dictate
in whose power is the judgment and the law
and the rule of speech.

All, all must perish — but, surviving last,
The love of Letters half preserves the past;
True — some decay, yet not a few revive,
Though those shall sink, which now
     appear to thrive,
As Custom arbitrates, whose shifting sway
Our life and language must alike obey.

Hints from Horace

"Norma was the latin word for what we now call a carpenter's square. It was used to construct lines which were at right angles to another line, so the created line was said to be 'normal.'  The norma was also used as a standard to compare if objects, like a wall, might be erect (perpendicular to the ground) and so those that met the standard were called 'normal' and this use extended to the 'typical' element of any type of set. Eventually normal came to mean anything that 'met the standard.' "

Pat Ballew on mathematical usage

 

"317 is a prime,
not because we think so,
or because our minds are shaped
in one way rather than another,
but
because it is so,
because mathematical reality
is built that way."

— G. H. Hardy,
A Mathematician's Apology

Friday, April 18, 2003

Friday April 18, 2003

Filed under: General — Tags: — m759 @ 3:17 pm

A Red Mass

For G. H. Hardy, who, although he kept a portrait of Lenin in his rooms, knew more of truth than most Christians ever know.

"317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way."
— G. H. Hardy, A Mathematician's Apology, 1940

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