Smart People Share Senseless Ideas That Can Be Proven Mathematically

[rebelmouse-image 18356273 is_animated_gif= dam=1 expand=1]

Math was never really my strong suit, but I do understand that some stuff just needs numbers to make sense. Not sure what I'm talking about? Leave it to Reddit to explain it way better than I ever could. One Reddit user asked:

What are some things that make no sense but can be proven mathematically?

I'm still not 100% sure of the math that goes into explaining why one pizza might be more pizza than two pizzas or why straws don't work in the moon - but I feel like if SpaceForce is going to be able to do SpaceLunch these are just bits of knowledge we all need to have. Prepare to have your mind blown by stuff that makes little-to-no sense in the real world, but math says is perfectly normal.

The Perfect Sphere

[rebelmouse-image 18360101 is_animated_gif= dam=1 expand=1]

The Banach-Tarski paradox is a nice example of something that exists because of mathematical objects that have no correspondence in reality. If you have a mathematical perfect sphere and cut it in ways that are only possible in mathematics (single points do not exist in reality), you can rearrange it to get two spheres. And that is just one example of what messing with infinity can give you.

The great Polish sci-fi writer Stanislaw Lem in his book "Summa Technologiae" wrote that mathematics is like a mad tailor, making all possible sorts of clothes. Some of them fit humans, some fit trees or octopi, some fit creature that exist but we haven't met yet; and some just don't fit anything in our universe. Mathematics makes theories that seemingly have no point in physical reality; that might be so, or it might be that we just haven't discovered a way to apply them. Number theory was thought to be useless until cryptography came along.

Monty Hall

[rebelmouse-image 18360102 is_animated_gif= dam=1 expand=1]

The Monty Hall problem's solution doesn't make sense until you start adding tens or even hundreds of doors.

Here's my attempt:

3 doors: 1 goat, 1 car, 1 nothing. Your chances are 1/3 to choose the car, yes? There are still 3 doors.

3 doors, goat is shown. 2 unknowns. There are still 3 doors- your original probability DOES NOT CHANGE because of this. It's still 1/3 chance. This is the part where I got stuck before. There are still 3 doors, your chances are 1/3.

Acting on the information though by swapping ADDS the 1/3 chance by knowing it has a goat behind it will ADD the probability together. 1/3 and 1/3 together. Making 2/3. The important part is acting on the information. However, if you had no outside knowledge, aka if your friend comes after a door is opened, his chances are 1/2 because he doesn't know. By opening a door for you, the dude 'adds value' to the door that isn't chosen by you but not to the one chosen by you originally.

So another way of thinking of it is NO MATTER WHAT choice you had made originally, you had 1/3 chance of winning. What's left is 2/3 right? If you abandon your original choice and jump ship to the other pool, your chance doubles.

How Much Rope?

[rebelmouse-image 18346795 is_animated_gif= dam=1 expand=1]

The old rope-around-the-earth trick.

Imagine you have enough rope to go all the way around the earth's equator (ignoring mountains, etc). Now assume that you'd like to have that rope be 1 meter off the ground all the way around the earth. How much rope would you have to add?

A New Deck Of Cards

[rebelmouse-image 18360103 is_animated_gif= dam=1 expand=1]

If you take a deck of new cards and shuffle it, chances are good that's the first time that sequence has ever existed on earth. 52! Is a long number.

No Straws On The Moon

[rebelmouse-image 18360104 is_animated_gif= dam=1 expand=1]

This is less math and more physics, but straws don't work if they're taller than a very certain height - and they don't work at all on the moon. In order for liquid to flow through a straw, the inside of your mouth needs to be at a lower pressure than the outside air. If there is no outside air (like, say, on the moon for example) your mouth can't be at any lower pressure.

Pizza Math

[rebelmouse-image 18360105 is_animated_gif= dam=1 expand=1]

One 18" pizza is more pizza than two 12" pizzas. One 17" pizza is almost exactly two 12" pizzas by area. However, the two 12" pizzas will still have about 30% more crust than the 17" pizza. So if you're going stuffed crust, go small.

Global Temperature

[rebelmouse-image 18360106 is_animated_gif= dam=1 expand=1]

When I was in uni, we had a calculus temp/sub prove that the temperature here and a spot exactly on the opposite side of the earth, are the same.

If I recall correctly, he took 2 classes to write it on many many chalkboards. We were mostly in awe of his handwriting, and later found out he was allowed to turn in his thesis in handwriting, rather than typewritten. Before anyone questions, his thesis was not what he burned our time with.

It is the Borsuk-Ulam theorem in topology: for a continuous mapping of a sphere onto a plane, there will be two points which were antipodal on the sphere and are the same point on the plane. In fact, we can pick two continuous variables here: say, temperature and atmospheric pressure. Then it is a mapping between the Earth's surface and a temperature-pressure plane, so there will be two antipodes that have the same temperature and atmospheric pressure.

Happy Birthday!

[rebelmouse-image 18348437 is_animated_gif= dam=1 expand=1]

The birthday paradox.

Get 23 (randomly chosen) people in a room. It is decently likely that 2 of the 23 people share the same birthday (discounting year).

I am a mathematics graduate, I understand the mathematics, yet there's still a part of my brain that is thrown by this logic!

For anyone intrested: the idea is how many times you compare 2 peoples birthday or, in other words, how many unique parings of birthdays you have. The first person has 22 people to compare their birthday to, 2nd one has 21, therefore you have 22+21+20....+1=253 unique parings. Chances of a pair to be identical is 1/365 (disregarding leap years):

(1-1/365)^253=0.4995 or about 50%

The Speed Of Light

[rebelmouse-image 18360107 is_animated_gif= dam=1 expand=1]

Light moves at the same speed for everyone.

If you're moving away from the light, or moving towards it, doesn't make a difference, it's still travelling the same speed for you

Roulette

[rebelmouse-image 18360108 is_animated_gif= dam=1 expand=1]

Gambler's fallacy - patterns of independent events do not dictate future results. I know it is true but still fall for it.

When a fair roulette table lands on black 10 times in a row it is just so tempting to keep putting money on red.

H/T: Reddit

People Break Down What Makes Someone Terrible In Bed
Photo by Parabol on Unsplash

"What makes someone bad in bed?"

WHERE TO BEGIN?!

The list is endless.

Half the time all it takes to be better is a little effort.

RedditorMidoriSpicewanted to hear about the lack of skills some people really need to acquire when it comes to sexy time. They asked:

"What makes someone bad in bed?"
Keep reading...Show less

Love is so elusive these days isn't it?

Who knows what anyone is looking for in the relationship department anymore.

It's all too exhausting.

But people we keep trying.

RedditorProblemNice5257wanted to hear why so many people are still on the hunt for that perfect one. They asked:

"Why are you single right now?"
Keep reading...Show less
People Imagine The First Thing They'd Do If They Get To Heaven
Photo by Ben Vaughn on Unsplash

There is no bigger mystery than what happens to us after we die.

But even those who don't practice an organized religion tend to believe that there is a Heaven, a happy joyful place where our souls will remain for eternity.

No two people share the same idea of what heaven would be like, but everyone who believes in it probably has an idea of the first thing they'd do after entering the pearly gates.

Redditor WeDidItGuyz was curious to hear what would be top on everyone's list upon entering the afterlife, leading them to ask:

"If heaven exists, what’s the first thing you’d do?"
Keep reading...Show less

"Fun facts" generally refers to a tidbit of information about a specific topic which the general public might not have otherwise known about.

But the first word in that term can be misleading.

Indeed, some "fun facts" reveal information that isn't remotely "fun" in the slightes.

Redditor Alternative_kachocho was curious to hear some "fun facts" which were anything but fun, leading them to ask:

What's a 'fun fact' that isn’t fun at all?"
Keep reading...Show less