How to mathematically ensure that your responsibilities never catch up on you
Most of us are probably living in constant fear of our responsibilities. So then naturally we want a method to ensure that those responsibilities can never catch up on us. It turns out that you can achieve exactly that using mathematics! Read this post if you want to find out how :)
Step 1: Find a hallway of over 1 meter. Drug your responsibilities and put them at one end of the hallway:
Step 2: make a wall. It is suggested to make it from distracting stuff which keep your responsibilities away such as alcohol, computer games, pizzas etc. These walls only have to cover half the width of the hallway. If they would be the full width of the hallway your responsibilities would crush the wall. If the wall does not block the hallway then your responsibilities will take the path of least resistance, which is going around it. This will be important! In addition, note that your responsibilities can squeeze through any tiny nook and cranny so putting the walls so close to each other that your responsibilities cannot squeeze through does not help you.
Step 3: Position the wall. place the wall at 1/2 like this:
Step 3: Place and position another wall. Make another wall and place it at 1/3:
Step 4: Place and position yet another wall. Now put it at 1/4
Step 4: Repeat. Place them likes this:
Step 4: Repeat all the way to infinity. Just keep making and placing them:
Now you made an awesome wall! At some point your responsibilities will awaken and immediately start to look for you. To get to you it needs to pass infinitely many walls which is not possible if it only goes at a finite speed. So your responsibilities can never catch up on you!
In summary
Here is the whole story through the medium of a low quality gif:
(Somehow I was not able to improve the quality of the gif)
Or check out this high quality video with jazzy music:
Mathematical background: So the walls that make up the hallway is a variation on a special type of mathematical space called the comb space. Which is a bit related to the infinite broom. These are all real mathematical things, I am not joking now.
Sources: All images made using inkscape it is free!
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There is a MathOwl shop which sells my artsy fartsy stuff. If you got some spare money head over there. You can learn about the colors of pi over here here. I also have really cheap stuff available like these stickers They are an absolute hoot.
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Amazing theory, and really funny :)
I suppose this Is base on series and sequences. Which adds up to infinitely. Am I wrong?
Yes it is infinite. You can proof it by showing that adding 1/2+1/2+1/2+... is smaller.
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In a sense what happens here is that the the total length of all the plywood walls is infinite but the whole wall is contained in a finite space.
I need to buy some plywood and some screws :-D
Which thickness for the plywood do you recommend when it will go to the range of 1/1000 and lower?
But seriously, with mathematics, you can do crazy things.
You come to the "infinite space" with "finite speed "problem, like in the astral world.
I am not sure what kind of plywood can reach Planck constant's range of thickness D:
Hmm... That really could be a problem. Damn, then I have still to face up to my responsibilities. :-D
Such a great idea on mathematical space! Just wonder how could I apply this. How I wish the undefeated monster won't wake up! as it always find a way to catch me.
Infinity does not exist in the real world D:
Haahaha, good one math boy, I mean owl! :) :)
I might start building some walls today. :D
Owl take that as a complement :D
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Intestines have been running away from responsibilities using the combs long before it was mathematically cool! Though they never made -1/12 combs. ;)
Intenstines, villi funny ;)
Mr Zeno still counting!
you can run but can't converge :D
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