If you race a tortoise, with a headstart, will you ever catch up?Image you make a race with a tortoise and you're faster (of course). To even out the odds, you give the tortoise a headstart. But will you ever catch up? At some time point, you'll reach the point where the tortoise started but because the tortoise... See More »
What distance do you consider walkable? Poll (35) See Poll OptionsWhat distance do you consider walkable for a usual trip, like when shopping for groceries. I don't mean going for a hike but for daily things.
Can you prove that 1+1=2?If you define the natural numbers with the Peano-axioms, you can define the addition of two numbers (recursively) as: (Quote) (Quote) Where n' is the successor of n. So in this case we have 1 + 1. With 1 being the successor of 0, so 1=0' we can write... See More »
You'll never meet a person with an IQ of 100As the IQ score is typically a normal distribution, the chances of a single event/value are exactly 0. Based on that, you'll never find a person with an IQ of 100
I bet you can't prove that you can just chose an element from any set.Even with simple sets such as a subset from the real numbers.
exp(x) can't reach 0 but exp(exp(x)) can reach 1If you work with complex numbers and don't just take the principle branch of ln, you can find a solution: (Quote) We can rewrite 1 as exp(2πk*i) with k being any integer. With that we get: (Quote) Now we can take the complex ln on both sides and... See More »
3 proofs that 0.999... is the same as 1First of all writing the number 0.999... isn't not valid but for the sake of this post let's allow it. Proof 1: This is probably the most easy to understand. Let's assume: (Quote) Next we'll multiply both sides by 10, so we have: (Quote) Let's... See More »
If your trip ended where it started, you just wasted energy.Or more precisly, if your trip is a closed path, you wasted exergy.
What's your honest opinion about this ring? Poll (3) See Poll Options(Quote) It has some unique properties but on the other hand they may be seen as weird.
I bet you can't solve this puzzle!You have a cube, which is made out of 10x10x10 smaller cubes. Can you use all the smaller cubes to make two other cubes? If that doesn't work, you can also try using a different sized cube, not one with a side length of 10 cubes but any other... See More » (1)
Why do courts have juries?Why do people, who don't really have any knowledge in law, decide a case in court? Shouldn't the court decide based on laws and not the intuition of a layperson?
Prove that there can't be evidence for a god or other supernatural things.At first some definitions: natural - as found in nature. And with that describable in that. supernatural - not describable in nature; the opposite of natural. evidence - a fact or information that is described in a structured way. Prove by... See More »
I like apples. I don't like apples. Therefore unicorns exist.With the principles of classical logic, that statement is true.
Have you ever heard of recursion?I found this post. It shows really well what recursion is: https://similarworlds.com/science/4990900-Have-you-ever-heard-of-recursion-I-found-this-post-It-shows
Prove that 3 is even.For something to be even the equation f(x)=f(-x) must be true. Lets say f(x)=3 With that f(x)=f(-x) is 3=3 which is a true statement and our assumption is true, 3 is even.
Where did the time go?In the blink of an eye the time when from 1:59 to 3:00. Now my day is just going to have 23 hours…
English words in GermanThere are some words in German that are either made up or have a different meaning than in English. For example: Beamer - projector Barkeeper - bartender Drive-In - drive-through Evergreen - oldie Flipper - pinball machine Handy - mobile phone... See More »
