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27. [Unequivocal Division of Finites]

Peirce, Charles S. PDF


Division of Finites, 1880-81

/Unequivocal Division of Finites7

MS 383: Winter 1880-81

We have begun the inquiry into algebras in which the division of finites is unequivocal that is in which

Ifp^p' q^pq' then pq^p'q pq^pq'

Ifp^p' q^pq' then pq^p'q pq^pq'

Ifp^p' q^pq' then pq^

Ifp^p' q^pq' then pq^p'q pq^pq'


We have found that every expression in such an algebra is resolvable in one way and one only into a sum of two parts, the first of which is an ordinary number and the second such that its square is an ordinary negative number. Of course either of these parts may disappear.

An ordinary number we call a scalar

A quantity whose square is negative we call a vector

A quantity whose square is — 1 we call a unit vector

That scalar which subtracted from the quantity q yields a vector remainder we call the scalar of q. The vector remainder we call the vector of q. That positive quantity the negative of whose square is the square of the vector v we call the tensor or modulus of v.

Our next step is to prove that the vector part of the product of two vectors is linearly independent of these vectors and of unity.

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11. On Phenomenology (Lecture II)

Peirce Edition Project Indiana University Press ePub


MSS 305, 306. [Published in CP 5.41–56, 59–65 (in part) and in HL 150–65. These two manuscripts together form the version of the text that Perice most likely used to deliver his second Harvard lecture on 2 April 1903.] Peirce remarks near the beginning of this lecture that “my purpose this evening is to call your attention to certain questions of phenomenology upon the answers to which, whatever they may be, our final conclusion concerning pragmatism must repose at last.” He goes on to clarify the nature of phenomenology (later called phaneroscopy), whose goal is to isolate the universal categories of experience. Peirce has found these to be, first, the quality of feeling, second, the element of struggle or reaction in experience or consciousness, and third, an intellectual element that seems much like representation or a sense of learning. He believes that this third element is necessary to explain a mode of influence on external facts that cannot be explained by mechanical action alone and he thinks that the idea of evolution requires this element. Near the end of this lecture Peirce remarks that “what the true definition of Pragmatism may be, I find it very hard to say; but in my nature it is a sort of instinctive attraction for living facts.”

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2 The Key to an Unlocked Door

Craig Morgan Teicher Center for Literary Publishing ePub

I am a poet, a soft singer, one who
sings when the birds are asleep
for I am one who sees only others
in his mirror and who sees only
himself in others’ shattered
faces. I have seen myself in one
hundred thousand different poses,
my skin shaded each of the rainbow’s
one million colors, my tongue snaking
around one billion impossibly
shaped words, my hands lifting
one trillion grains of sand
from the driftwood beaches
of one country to the hypodermic
beaches of another, my feet
eclipsing the lives of one nillion
mercilessly clicking insects, their
shining exteriors mimicking
the one quillion shadings of the most
distant skies, my ears discerning
the confused decibels of one shrillion
mournfully beautiful morning songs
for I have seen one frillion nights
descend over one stillion lonely
bodies and I know that the sun
will rise one hillion times but not
over us all for we are poor and I
know us all for I have seen us bending
and straightening our backs and
curling and flexing our fingers
and lying in fitful sleep and I have
apologized one untillion times and seen
the world improved and destroyed
for I live where the wind graces
the manes of one willion wild horses
who look through widening eyes.

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II “Avenue of Elms”

Larry Lockridge Indiana University Press ePub

Robert Bruce Lockridge, sturdy and fearless, took a swimming lesson from his friend John Crane, who told him to take a deep breath, lie face down, and learn that water keeps you afloat. But Bruce straightaway sank to the bottom, and after several dunkings Crane decided it must be the density of his body. He later received an exuberant letter from Bruce who told of having almost drowned in a gravel pit.

On Saturday, June 28, 1919, a few days after this close call, Bruce went to St. Joseph’s River, Fort Wayne, for a boy scout overnight. He had just turned sixteen and graduated from high school, two years younger than most of his classmates. He wasn’t yet a First Class Scout because he didn’t have his swimming merit badge. His mother watched her son prepare to leave and almost said, “Well, Bruce, be sure to take the rope along.” His younger brother Ross, aged five, followed him across the yard and watched him catch the streetcar at the corner of Creighton and South Wayne avenues. Laden with equipment, he was in his boy scout uniform.

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1 Border Crossings and Fractured Selves: A History of the Afghan Presence in Iran

Zuzanna Olszewska Indiana University Press ePub

A History of the Afghan Presence in Iran


It doesn’t matter

on which side the sun came up,

on which side the moon went down.

In your alleys, sorrow.

In your alleys, beauty.

In your alleys, the sound of the handcart men

who cry out the freshness of their wares;

the footsteps that startle

the always-mute walls out of sleep;

the eyes that turn my dark midnights

into delirious muttering.

In your alleys

is a fluttering of wings that comes from distant mountains.

I begin from your farthest walls,

a place where even my friends don’t come anymore,

with my old briefcase in my hand,

like a shepherd whose sheep have all been torn apart by wolves,

like a commander to whom no letter is posted.

Longing for the wild winds of the Pamirs,

the song of a dobeiti in the mountains;

longing for the fresh fish of Helmand,

and soldiers invalided by war,

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