paradox: a visual essay

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Inspired by Mark Z. Danielewski's House of Leaves

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Page 1: Paradox: A visual Essay

This is not for you.

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[house]

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Paradox: A Visual Essay

By Jonathan HeterSelby: VISC 202Elements of Typography

[house]

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Losing the possibility of something is the exact same thing as losing hope and without hope nothing can survive.

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“This much I’m certain of: it doesn’t happen immediately. You’ll finish [the book] and that will be that, until a moment will come, maybe in a month, maybe a year, maybe even several years. You’ll be sick or feel-ing troubled or deeply in love or quietly uncertain or even content for the first time in your life. It won’t matter. Out of the blue, beyond any cause you can trace, you’ll suddenly realize things are not how you perceived them to be at all. For some reason, you will no longer be the person you believed you once were. You’ll detect slow and subtle shifts going on all around you, more importantly shifts in you. Worse, you’ll realize it’s always been shifting, like a shimmer of sorts, a vast shim-mer, only dark like a room. But you won’t understand why or how. You’ll have forgotten what granted you this awareness in the first place.”

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YGGDRASIL

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changes.

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changes.

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They denied the paradox by

swallowing it whole. Paradox,

after all, is two irreconcilable

truths. But children do not know

the laws of the world well enough

yet to fear the ramifications of

the irreconcilable.”

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They denied the paradox by

swallowing it whole. Paradox,

after all, is two irreconcilable

truths. But children do not know

the laws of the world well enough

yet to fear the ramifications of

the irreconcilable.”

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[2 pages missing]

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To understand paradoxes is to be able to hold two conflicting ideas in your head at the same time. And maybe to give both equal credibility. It’s about merging two things that seem incongruent into something that, some how, makes sense.

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WE ALL CREATE STORIES TO PROTECT OURSELVES.

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WE ALL CREATE STORIES TO PROTECT OURSELVES.

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Riddles: they either de-light or torment. Their delight lies in solutions. Answers provide bright moments of comprehension perfectly suited for chil-dren who still inhabit a world where solutions are readily available. Implic-it in the riddle’s form is a promise that the rest of the world resolves just as easily. And so riddles comfort the child’s mind which spins wildly before the onslaught of so much information and so many subsequent questions.

The adult world, however, produces riddles of a dif-ferent variety. They do not have answers and are often called enigmas or paradoxes. Still the old hint of the riddle’s form corrupts these questions by re-echoing the most fundamental lesson: there must be an answer. From there comes torment.

It is not uncharacteris-tic to encounter adults who detest riddles. A va-riety of reasons may lie behind their reaction but a significant one is the rejection of the adoles-cent belief in answers. These adults are often the same ones who say “grow up” and “face the facts.” They are offended by the incongruities of yester-day’s riddles with answers when compared to today’s

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riddles without. It is beneficial to con-sider the origins of “riddle.” The Old English rædelse means “opinion, conjure” which is related to the Old English rædon, “to interpret” in turn be-longing to the same etymo-logical history of “read.” “Riddling” is an offshoot of “reading” calling to mind the participatory na-ture of that act—to inter-pret—which is all the adult world has left when faced with the unsolvable.

“To read” actually comes from the Latin reri ”to calculate, to think” which is not only the progenitor of “read” but “reason” as well, both of which hail from the Greek arariskein ”to fit.” Aside from giving us “reason,” arariskein also gives us an unlikely sibling, Latin arma mean-ing “weapons.” It seems that “to fit” the world or to make sense of it re-quires either reason or arms.

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HOW COULD ANYONE BE LOST IN A HOUSE FOR DAYS ANYWAY?

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HOW COULD ANYONE BE LOST IN A HOUSE FOR DAYS ANYWAY?

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Les jeux sont faits. Nous sommes fucked.

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Les jeux sont faits. Nous sommes fucked.

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The sentence below is true.The sentence above is false.

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It is possible to accommodate countably infinitely many coach-

loads of countably infinite passengers each. The possibility of doing

so depends on the seats in the coaches being already numbered

(alternatively, the hotel manager must have the axiom of count-

able choice at his or her disposal). First empty the odd numbered

rooms as above, then put the first coach’s load in rooms 3n for n =

1, 2, 3, ..., the second coach’s load in rooms 5n for n = 1, 2, ... and

so on; for coach number i we use the rooms pn where p is the (i +

1)-st prime number.

The problem can also be resolved by looking at the license plate

numbers on the coaches and the seat numbers for the passen-

gers. Regard the hotel as coach #0, and the initial room numbers

as the seat numbers on this coach. Interleave the digits of the

coach numbers and the seat numbers to get the room numbers

for the guests. The hotel (coach #0) guest in seat (original room)

number 1729 moves to room 01070209 (i.e., room 1,070,209.)

It is possible to accommodate countably infinitely many coach-

loads of countably infinite passengers each. The possibility of doing

so depends on the seats in the coaches being already numbered

(alternatively, the hotel manager must have the axiom of count-

able choice at his or her disposal). First empty the odd numbered

rooms as above, then put the first coach’s load in rooms 3n for n =

1, 2, 3, ..., the second coach’s load in rooms 5n for n = 1, 2, ... a

nd

so on; for coach number i we use the rooms pn where p is the (i +

1)-st prime number.

The problem can also be resolved by looking at the license plate

numbers on the coaches and the seat numbers for the passen-

gers. Regard the hotel as coach #0, and the initial room numbers

as the seat numbers on this coach. Interleave the digits of the

coach numbers and the seat numbers to get the room numbers

for the guests. The hotel (coach #0) guest in seat (original room)

number 1729 moves to room 01070209 (i.e., room 1,070,209.)

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The problem can also be resolved by looking at the license plate

numbers on the coaches and the seat numbers for the passen-

gers. Regard the hotel as coach #0, and the initial room numbers

as the seat numbers on this coach. Interleave the digits of the

coach numbers and the seat numbers to get the room numbers

for the guests. The hotel (coach #0) guest in seat (original room)

number 1729 moves to room 01070209 (i.e., room 1,070,209.)

It is possible to accommodate countably infinitely many coach-

loads of countably infinite passengers each. The possibility of doing

so depends on the seats in the coaches being already numbered

(alternatively, the hotel manager must have the axiom of count-

able choice at his or her disposal). First empty the odd numbered

rooms as above, then put the first coach’s load in rooms 3n for n =

1, 2, 3, ..., the second coach’s load in rooms 5n for n = 1, 2, ... a

nd

so on; for coach number i we use the rooms pn where p is the (i +

1)-st prime number.

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With all obvious options exhausted, Navidson returns to the building plans. At first this seems pretty innocent until he gets out a measuring tape. Idly at first, he starts comparing the dimensions indicated in the plans with those he personally takes. Very soon he realizes not everthing adds up. Something, in fact, is very wrong. Navidson repeatedly tacks back and forth from his 25’ Stanley Power Lock to the cold blue pages spread out on his bed, un-til he finally mutters aloud: “This better be a case of bad math.”An incongruous cut presents us with the title card: 1/4”

Outside the house, Navidson climbs up a ladder to the second story. Not an easy ascent he casually cofesses to us, explaining how a troublesome skin condition he has had since childhood has recently begun to flare up around his toes. Wincing slightly at what we can assume is at least moderate pain, he reaches the top rung where using a 100’ Empire fiber-glass tape with a hand crank, he proceeds to measure the distance from the far end of the master bedroom to the far end of the children’s bedroom. The total comes to 32’ 9 3/4” which the house plans corroborate–plus or minus an inch. The puzzling part comes when Navidson measures the internal space. He carefully notes the length of the new area, the length of both bedrooms and then factors in the width of all the walls. The result is any-thing but comforting. In fact it is impossible. 32’ 10” exactly. The width of the house inside would appear to exceed the width of the house as measured from the outside by 1/4”.

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alles nahe werde fern

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Make no mistake, those who write long books have nothing to say.

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[house]

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one of the most odd things about learning is the moment where you know enough to realize how much you don’t know. It’s scary as hell.

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Little solace comesto those who grievewhen thoughts keep driftingas walls keep shiftingand this great blue world of oursseems a house of leaves

moments before the wind.

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Century Gothic: “Hilbert’s Paradox of the Grand Hotel.” Www.Princeton.edu. N.p., n.d. Web. <http://www.princeton.edu/~achaney/tmve/wiki100k/docs/Hilbert_s_paradox_of_the_Grand_Hotel.html>.

Courier & GOTHAM: Danielewski, Mark Z. Mark Z. Danielewski’s House of Leaves. New York: Pantheon, 2000. Print.

Sabon: Chimero, Frank. “On Paradoxes.” Web log post. Thinking for a Living. N.p., 29 Jan. 2010. Web. <http://www.thinkingforaliving.org/>.