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infinity

No Room At The Infinity Inn

by Richard Lau

Joseph had never seen Bethlehem so crowded. It seemed like an endless number of people was packed in the streets and surrounding structures.

But he had more important things on his mind. His pregnant wife Mary was about to give birth, and he could not find a place of sufficient space and privacy.

“I’m sorry, sir,” apologized the front desk clerk, “as I said, we have no rooms available. They are all filled.”

“How can they all be filled?” demanded the expectant father-to-be. “This is the Infinity Inn! It’s known for having an infinite number of rooms!”

“That’s true,” admitted the clerk. “Unfortunately, at this time of year, especially during the census, we have an infinite number of guests!”

“But…” started Joseph, struggling to picture that many people in a head whose capacity was twenty.

Beside him, Mary took a deep breath and released a slow, smooth sigh. She was well-aware of her husband’s penchant for stubborn argument and unnecessary discourse, particularly when he was tired and under pressure.

Joseph continued. “Doesn’t having so many guests make taking a census impossible?”

The clerk thought for a moment and then nodded. “That does make it more difficult. And the task does seem to take a while. But who can say when one census ends and the next one begins?”

Joseph was about to argue the point when his wife’s elbow nudged a familiar area in his ribcage.

Joseph leaned forward. “Well, we don’t have an infinite amount of time. Can’t you see my wife is pregnant?”

“Yes,” acknowledged the clerk. “Congratulations.”

“So, we really need a room.”

“I am not disagreeing with your need, sir. I am just unable to fulfill your request.”

Joseph tried another approach. “Wait a minute. In order to have an infinite amount of rooms, you have to be adding rooms constantly, otherwise you’d just end up with a finite number, isn’t that correct? It would be a rather large finite number but still finite!”

“True,” agreed the clerk, nodding his head. “We do have the continuous construction of new rooms. Fortunately, the guests don’t seem to mind the noise.”

“So, give us one of those rooms,” insisted Joseph. “One of the new additional rooms you’re adding.” He gave a “know-it-all” and “I-told-you-so” look at his wife.

She frowned, holding her protruding belly. Of all the inopportune times for her headstrong husband to get into a one-upmanship contest!

“I have to apologize again, sir,” said the clerk. “We have a waiting list for those rooms, and it is infinitely long. We can add you to the list, but it could take a while before we can get you a room, and, as you say, I’m not sure if your wife has that much time.”

Mary tugged on her husband’s sleeve, but Joseph had thought of yet another angle.

“All we need is one room,” Joseph said. “I’m sure with the infinite number of guests here, you’ll be able to find two guests willing to share a room for the good of a woman about to be in labor.”

The clerk at least tried to look sympathetic. “That may be so, but we’d have to speak with each guest until we find one who wants to move and then we’d have to continue contacting guests until we find one who wants to share their room. It is already too late to disturb our guests. And even if we tried, it could take quite a while until we found a compatible pairing. Plus, most of the guests might figure like you that with an infinite number of guests, some other guest might be more agreeable to moving or sharing, so why should they?”

Joseph had one last idea. “Look, with an infinite number of guests, you must have an infinite number checking out, right? Why can’t we have one of those recently vacated rooms?”

 “My apologies again, Mr. Joseph,” said the desk clerk, “but along with an infinite number of departures, we also have an infinite reservation list for those vacated rooms.”

Joseph had a sudden epiphany: that at the Infinite Inn, the desk clerk also had an infinite number of rebuttals to whatever Joseph proposed.

Sullenly, the tired and worn-down husband turned to his wife and sadly confessed, “The manger it will have to be.”

An exasperated Mary, thrilled that her husband had finally had a change of heart and had seen the light, cried “Thank God!”

“Good luck getting there,” said the desk clerk rather snappishly.

Joseph had reached the end of his rope and was spoiling for a fight. “What is that supposed to mean? The manger is just down the street from your so-called infinite establishment!”

“Yes,” admitted the clerk. “But before you reach the manger, you must first go half the distance to the manger. And before you even reach that point, you must first traverse the halfway point between here and the halfway point to the manger. And go half that distance. And half that distance. And so on and so on. Each step covering an infinitely smaller distance.

“You have quite a journey ahead of you, sir. Good luck and good night.”

However, Mary and Joseph did manage to make it to the manger, where their baby was born.

It was indeed a time for miracles.

~

Bio:

Richard Lau is an award-winning writer who has been published in newspapers, magazines, anthologies, the high-tech industry, and online.

Philosophy Note:

Can one fully grasp the concept of infinity and wield it into a practical, understandable framework? And can the same be said of God? Or are both knowingly unknowable? This piece of speculative philosophy combines perhaps the most popular Christmas story ever told with The Grand Hotel Paradox of mathematician David Hilbert, with a bonus paradox thrown in for good measure!

Cube

by Kaolin Imago Fire

No street led to just one other; no window faced another; no entrance was for just one house. Sewer flowed through boudoir with an elegance that defied reason–but that was art in the hands of masters. Cube, as it was prosaically called, was the result of studied generations, clones and imitators, working towards a harmonious cacophony of architecture. Out of the void of other beings, mankind creates its own others–and Cube was the ultimate inhuman thing, an entire planet manufactured to break down the mind and recreate it from environs that knew no boundary.

The greatest living-art project of any time, Cube was populated slowly despite the near-fanaticism it inspired. Volunteers were seeded across the planet to build their own “worlds”. Were allowed nothing that could contact Off-cube, simply given the means to support themselves, to provide for the world they inhabited. Were left to fall into madness and either come out the other side or die. Only then were more seeded: hundreds, thousands at a time, all segregated from each other but provided for. And again, madness ran its course.

Slowly they found each other; some madnesses were compatible, some were not. Extremes of violence were removed, the rest were studied from afar. And slowly, ever-more-slowly, they evolved. Technology was remembered, reinvented, re-imagined. Language was a game, never left to one set of rules for too long. They learned to walk through walls, and were never seen again except as ghosts–though it was rumoured that they stepped out as sooth-sayers to sundry wheres and whens. The planet continued to change and be changed by them–in time, it too began to fade, escaping both space and time.

~

Bio:

Kaolin Fire (http://www.erif.org/) is a conglomeration of ideas, side projects, and experiments. Outside of his primary occupation, he also develops games (http://www.erif.org/code/games/), explores fractals (http://www.fractroam.com), and very occasionally teaches computer science. He has had short fiction published in Strange Horizons, Murky Depths, Crossed Genres, and M-Brane SF, among others. There are rumors he’s walking through an experiment at this very moment.

Of infinity, literature and math

Magazine reader Gene pointed everyone in the Facebook discussion to this interesting article on Infinities in literature and mathematics by Jorge Alejandro Laris Pardo. I’ve always found the idea of the infinite interesting, but i’m a theist so the question comes up a bit when thinking about things like omnipotence and eternity.

During this past month, I was having a conversation with a couple of friends who study Latin-American Literature, and I noticed that they were having a hard time understanding how a literary work can have infinite critical interpretations, while at the same time not all its interpretations are critical. Apparently they found this to be contradictory.
I was shocked by their confusion, because to me the idea in question is almost self-evident. But later I came to acknowledge the fact that my friends, who are schooled in the humanities, have little if any notion of the mathematical idea of the infinite. For that reason, I suggest in this essay that the humanities can learn something from the concept of infinities in mathematics.
The problem with Romanticism’s concept of the Infinite
According to Alain Badiou, the history of Western philosophy can be divided into two great periods. First, the era before and including Kant, when mathematical reasoning was considered a singular way of thinking that interrupted the predominance of opinion — or, to put it in philosophical jargon, of Doxa — in philosophical reasoning. And second, the post-Kant era, which gave birth to Romanticism, which was consummated by Hegel, whose philosophical system is powered at its core by the schism between math and philosophy. Following Badiou [1], this schism also lies at the core of 19th century positivism and modern radical empiricism — because arguments put forth by these movements just flip to the other side of the same coin without really solving the problem — and has greatly impacted contemporary thinking, especially in the humanities.

Read the rest.