Smart People Share Senseless Ideas That Can Be Proven Mathematically
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
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.
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?
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
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
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.
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.
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.
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
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
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.
Some jobs really don't serve a purpose to society, or they are a relic of times past that society has yet to say goodbye to.
Spam Spam<p>The person whose job it is to send physical spam mail. Nobody even reads it anymore.</p><p><a href="https://www.reddit.com/user/Random_Fangirl888/" target="_blank">Random_Fangirl888</a></p><p>My wife went to med school and her student loans are all federal and are at 0% interest and are in forbearance right now. At least once a week she gets a letter from SoFi to refinance her loans which would make her ineligible for any sort of loan forgiveness or federal assistance. So much wasted paper and postage sending those letters.</p><p><a href="https://www.reddit.com/user/schu2470/" target="_blank" rel="noopener noreferrer">schu2470</a></p>
Stuck In The Middle W You<p>In my experience: A large percentage of middle management. Usually they just wind up inventing fake work reports so they can appear to be adding value.</p><p><a href="https://www.reddit.com/user/PasteTank/" target="_blank">PasteTank</a></p><p>My company is trying to cut costs, and thankfully some of the layoffs and unfilled vacancies have been middle management. It makes me wonder what their purpose was in the first place? I swear management makes new management positions to give their work to.</p><p><a href="https://www.reddit.com/user/C0PPER13/" target="_blank" rel="noopener noreferrer">C0PPER13</a></p>
Grumble Grumble<p>My MIL tells me that during the days of the USSR there were people who sat at desks at the entrances of subway stations. They didn't actually do anything, but that was their job since by law for a while in the Soviet Union everyone needed to have a job.</p><p><a href="https://www.reddit.com/user/heybrother45/" target="_blank">heybrother45</a></p><p>Their job is to be unhelpful and surly. Those jobs still exist in some post-Soviet countries.</p><p><a href="https://www.reddit.com/user/jtbc/" target="_blank" rel="noopener noreferrer">jtbc</a></p>
Jogging Doggos<p>Driving around Las Vegas I passed a mobile dog treadmill service. They come to your house and let your dog walk on a treadmill inside a Sprinter van.</p><p><a href="https://www.reddit.com/user/jesset60819/" target="_blank">jesset60819</a></p><p>idk i can see the value in this. las vegas can easily get over 100 degrees F outside, not guaranteed safe to walk a dog in that, could overheat or burn their paws. and not everyone wants a treadmill in their house</p><p><a href="https://www.reddit.com/user/PizzaQuest420/" target="_blank" rel="noopener noreferrer">PizzaQuest420</a></p>
Yeah, Why?<p>Bathroom attendant. Elevator operator. </p><p><a href="https://www.reddit.com/user/openletter8/" target="_blank">openletter8</a></p><p>Imma dispute Bathroom attendants by saying, their actual job is to keep drunks form trashing the stalls, the whole towels and mints shebang is to give them something to do on the meantime</p><p><a href="https://www.reddit.com/user/Maycrofy/" target="_blank" rel="noopener noreferrer">Maycrofy</a></p>
I Am The Captain Now<p>Casino Barge Captain.</p><p>Many places in the US have riverboat casino laws that are used to justify large casino barges that are tethered in position and never move, not even having any engines or other means of conveyance. </p><p>Since they are technically barges despite being immobile they are legally required to have a Captain certified to operate vessels of that tonnage and crew on board at all times of operation.</p><p>I can't imagine a more gravy position than "exist on the premises with your piece of paper"</p><p><a href="https://www.reddit.com/user/Umbrella_merc/" target="_blank">Umbrella_merc</a></p>
You May NOT Touch Your Gas<p>For the states that require it, the gas station employees that fill up your tank. I ended up in New Jersey and it was super awkward.</p><p><a href="https://www.reddit.com/user/DaveyJonas/" target="_blank">DaveyJonas</a></p><p>Saw this woman standing next to her SUV for ten minutes at the gas station. Finally she asks me why no one is pumping her gas for her. So I says to her "We hate you cause you're from New Jersey." </p><p>She looks at me amazed and asks how we can tell. Eventually I let her in on the joke and helped her pump her gas. She was in her 40s, had she never driven out of NJ before?</p><p><a href="https://www.reddit.com/user/damasu950/" target="_blank" rel="noopener noreferrer">damasu950</a></p>
Up And Down<p>Elevator Operator. It's a union job. A dude sits in a chair next to the buttons. He asks you what floor you want to go to and he pushes the button.</p><p><span></span><a href="https://www.reddit.com/user/Real_Time_Delay/" target="_blank">Real_Time_Delay</a></p><p>SF hired elevator operators for the subway stations. They're only there to ensure people don't piss on the elevators... which they would otherwise do.</p><p><span></span><a href="https://www.reddit.com/user/tyinsf/" target="_blank">tyinsf</a></p>
Sell Sell Sell!<p>Car sales people. Because you end up dealing with the sales manager when you actually purchase the vehicle. Car sales people can't even give you a price without checking with sales manager. They are literally there to babysit you.</p><p><a href="https://www.reddit.com/user/Aroon164/" target="_blank">Aroon164</a></p>
Life doesn't come with a blueprint, instructions, nor a roadmap of what to expect in the days and years ahead. It does, however, contain all kinds of people who've lived life for longer than you.
Until It's Breezy<p>"Study to the point where the tests seem like they're insulting your intelligence. Best calc professor Ive had" -- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gthzyk0?utm_source=share&utm_medium=web2x&context=3" target="_blank">Fruooop</a></p><p style="margin-left: 20px;">"That's a really good way of putting it. I'll have to remember that."</p><p style="margin-left: 20px;">"Something I've read in the past, that's sort of similar: 'Don't just study until you *can* get the questions *right*. Study until you *can't* get the questions *wrong*.' " -- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gtj84pl?utm_source=share&utm_medium=web2x&context=3" target="_blank">skullturf</a></p>
Stock Up First<p>"Pay your savings account FIRST."</p><p>"Don't wait until the day before you get paid to move the left overs into an account."</p><p>-- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gthl3w1?utm_source=share&utm_medium=web2x&context=3" target="_blank">FrostyRain5286</a></p>
Actions, not Words<p>"Anyone can replace you in the job you do. It's not your job to boast about how irreplaceable you are, but to prove to them that they don't WANT to replace you."</p><p>"There's a difference." </p><p>-- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gti7zi9?utm_source=share&utm_medium=web2x&context=3" target="_blank">[deleted]</a></p>
The Cardinal Directions<p>" 'When it's her moment stand behind her. When she's nervous stand beside her. When she's scared stand in front of her. The rest you'll figure out.' - My Grandmother on women" -- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gthtx99?utm_source=share&utm_medium=web2x&context=3" target="_blank">WholeMilkStandard</a></p><p style="margin-left: 20px;">"I love your grandma!!" -- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gtjky5h?utm_source=share&utm_medium=web2x&context=3" target="_blank">Neverthelilacqueen</a></p>
Keep Rage At Bay<p>"From my friend's late father, a wise old man from Trinidad:"</p><p>"Any man can get your goat, if you let him know where your goat is tied."</p><p>-- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gthmelk?utm_source=share&utm_medium=web2x&context=3" target="_blank">JimmyBallocks</a></p>
Check Your Sources<p>"Don't take criticism from someone you wouldn't take advice from" -- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gthtigw?utm_source=share&utm_medium=web2x&context=3" target="_blank">thehotdeskpodcast</a></p><p style="margin-left: 20px;">"Well that rules out like 98% of the people I interact with." -- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gti82zo?utm_source=share&utm_medium=web2x&context=3" target="_blank">MrEngin33r</a></p><p style="margin-left: 20px;">"Thank you. No need to give our power away." -- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gtjihka?utm_source=share&utm_medium=web2x&context=3" target="_blank">kittanjaan</a></p>
People Are Not Psychics<p>" 'You have to ask for what you want from people, make your position clear.' "</p><p>"Don't just assume people know what your problem is, communication is key. It is great for relationships, work, friendships, school and even playing team sports or video games."</p><p>-- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gti4ssq?utm_source=share&utm_medium=web2x&context=3" target="_blank">SuecidalBard</a></p>
Let It Go<p>" 'You will continue to suffer if you have an emotional reaction to everything that is said to you. If words can control you, that means everyone can control you. Breathe and allow things to pass.' "</p><p>"It's easier said than done, but it's 100% true."</p><p>-- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gthmxbc?utm_source=share&utm_medium=web2x&context=3" target="_blank">mytwoquarters</a></p>
Give More Love<p>"Don't be afraid to show gratitude. I don't know why, but for most of my life I was embarrassed to reach out and thank people for a variety of things." </p><p>"I'd say 'thanks' to stuff like everyone does. But feeling comfortable giving specific and thoughtful expressions of gratitude has been a journey well worth taking."</p><p>-- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gtikmwh?utm_source=share&utm_medium=web2x&context=3" target="_blank">wtfreddititsme</a></p>
Comparative Suffering Doesn't Work<p>" 'It doesn't matter if someone has it worse than you, you're still having a hard time and that makes your problems valid and gives you the right for help.' " -- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gtjac08?utm_source=share&utm_medium=web2x&context=3" target="_blank">BenaBenaBadBad</a></p><p style="margin-left: 20px;">"I remember one similar to this that was like 'just because someone else is in a full body cast, it doesn't mean that your broken arm doesn't hurt' " -- <a href="https://www.reddit.com/r/AskReddit/comments/mkqicu/what_is_the_best_piece_of_advice_youve_ever_gotten/gtl6ln4?utm_source=share&utm_medium=web2x&context=3" target="_blank">UnwaveringBear</a></p>
A school is supposed to be a place for educating and care for children.
Probably Shouldn't Be Around Kids Anymore<p>There's telltale signs when a person most likely shouldn't be around children. The following stories are those educators who should maybe consider a job doing something else. </p>
Unable To Keep Her True Thoughts Together<p>The one at a private school who broke down crying yelling "You're all f-ck-ups!" to the class and stormed out. </p><p>She was hired just out of college and didn't last long.</p><p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtoz53w?utm_source=share&utm_medium=web2x&context=3">dougiebgood</a></p>
Silly Rules Which Benefit No One<p>A 6th grade teacher.</p><p>She was very mean to all the students and not just from our perspective. She was very particular about how things were done and in many ways it was unfair.</p><p>Example:</p><p>We were not allowed to take our sheets out of the three ring binder to write on them. The problem is, I'm left handed, so the rings were in the way of my hand and then she would yell at me for my handwriting.</p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtp5fke?utm_source=share&utm_medium=web2x&context=3">AntiqueStatus</a><a href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtp5fke?utm_source=share&utm_medium=web2x&context=3"></a>
Taking Personal Issues Into The Classroom Way Too Far<p>Had this one teacher who'd hit me for almost no reason. Found out years later she had problems with my mum at the time</p><p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtox0ae?utm_source=share&utm_medium=web2x&context=3">tattooedbutemployed</a></p><p>Wait why didn't your mom file a lawsuit because of this?</p><p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtq228k?utm_source=share&utm_medium=web2x&context=3">Yung_Mulann365</a></p><p>This was pretty normal where I grew up. (Really small Pacific island, rather not say exactly) Disciplining your kids in and out of the house was normal. Like every morning all us kids had to line up in front of the classroom with our hands out. If our fingernails were too long or dirty, you get hit with ruler. </p><p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtq461w?utm_source=share&utm_medium=web2x&context=3">tattooedbutemployed</a></p>
Enacting Improper Teaching Procedures<p>Becoming a decent teacher means taking hours of training, attending professional development classes, and doing everything you can to try to perfect your craft.</p><p>Or you might encounter one of these individuals leading a class with their less than stellar skills. <br></p>
Classic Awful Behavior<p>Ms C, sixth grade.</p><p>She would frequently body shame kids she didn't like and she was racist AF I was the only Asian in class and she would openly say things like, "what breed of dogs do you think is the delicious-est?" There was only one white kid in class and whenever he did something kinda dumb, she'd say, "What a white person thing to do."</p><p>She had no respect for other people's privacy and would openly announce grades. There was a dyslexic student who got poor grades and she would mock her for that.</p><p>She would never actually teach the class, she'd literally just rant about her life. She'd gossip about the other teachers and she was just a b-tch.</p><p>Did I mention she was a toxic feminist with a hatred for men?</p><p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtp46ps?utm_source=share&utm_medium=web2x&context=3">PuppyCumMeowMeow</a></p>
Little Reason For Choices<p>Social Studies teacher in 6th grade. I worked incredibly hard on a project for National History Day and she pulled me aside, threw it in the trash and said she'd be ashamed to put her name on it. Still makes me mad to this day.</p><p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtp7hz5?utm_source=share&utm_medium=web2x&context=3">SnugBear</a></p>
Inappropriate Disciplinary Behavior<p>Had a woodworking teacher that used to lock disruptive students in a closet/room. Think he got fired for locking a girl in there. </p><p>Also had a teacher in primary school that whacked the class clown over the head with one of those old wooden 1m rulers and It snapped</p><p><a href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtp7epu?utm_source=share&utm_medium=web2x&context=3" target="_blank"></a><a target="_blank">Existing_Lettuce_639</a></p>
Being Too Much Of A Creeper<p>Then there's those teachers we've encountered who...</p><p>Well, just take a look. </p>
Maybe Don't Talk About Boys' Willys?<p>Mrs. Thomson, fourth grade. She was a Brit who was always going on about how boys shouldn't let their "willy" do the thinking. I didnt even know what a "willy" was.</p><p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtp1evk?utm_source=share&utm_medium=web2x&context=3">ChaseDonovan</a></p>
What A Jerk<p>My History teacher in 9th grade. 1970's style, grey chest pubes popping out of his shirt with a gold necklace entangled in them. well over the line of obese but still not waddling. This was right after 9/11, so we all had to wear IDs around our necks and he'd always stare at girls' boobs saying he was checking ID. He used to give me detention if I walked in the class when the bell was ringing, but if anyone showed up after me it was fine. Made it a point to give me a hard time and belittle me in class, and I even had a meeting about it with him with out principal. Nothing happened of course because he'd been working there for 20 years. </p><p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtozbsj?utm_source=share&utm_medium=web2x&context=3">mmm-pistol-whip</a><br></p>
Wait Until Your Personal Time<p>The one who got sacked for watching porn in his lunch break at school</p><p><a target="_blank" href="https://www.reddit.com/r/AskReddit/comments/mm3as2/what_was_the_worst_teacher_you_ever_had/gtowryd?utm_source=share&utm_medium=web2x&context=3">CupperT2</a></p>
Human bodies are weird, man. And at times, they're completely unexplainable. Like, I can link my arms and bring them around my body all the way, without letting go. Don't ask me how I figured it out, but weird, right?!