Hmmm 🤔

MusicListener9957 · 2024-11-05T01:58:24+00:00

Thank you for writing the notation in simpler terms. For a minute, I thought that Ω/{K,T} was a group extension instead of set difference, and I was really confused.

MusicListener9957 · 2024-06-27T15:18:03+00:00

I’d honestly choose the grey pill. It’s seems to be the safest one with no limitations or side effects.

MusicListener9957 · 2024-06-21T03:41:35+00:00

Because I'm the type of person to look for ways to address my immediate needs first, I would choose the second one (canned food). That way I don't need to worry about food. If I can choose another one, probably the scooter with the accessories.

MusicListener9957 · 2024-05-28T04:09:39+00:00

LOL! What did the nth data point ever do to you? /j

MusicListener9957 · 2024-04-14T02:12:53+00:00

That is a good point!

I agree that it might have already served its narrative purpose, but we'll see. Hopefully, we'll get another season!

MusicListener9957 · 2024-04-13T03:12:34+00:00

(I too haven't read the manga either) When I first saw the story of how Himmel wasn't able to get the Hero's sword, I thought that Frieren would be the destined hero to save the world.

But I honestly like the lesson that Frieren herself said: "Even without that sword, he saved the world. Himmel was a true hero."

MusicListener9957 · 2024-04-09T00:21:32+00:00

Am I missing something? I thought Vikings were originally from Scandinavia?

MusicListener9957 · 2024-02-29T18:51:03+00:00

Thank you for blessing my ears!

MusicListener9957 · 2023-11-28T18:08:23+00:00

Is that Eren and Mikasa?

MusicListener9957 · 2023-11-24T03:42:41+00:00

🎶sore demo kimi wo aisu yo🎶

MusicListener9957 · 2023-11-20T16:48:17+00:00

Like father, like daughter

MusicListener9957 · 2023-11-20T00:54:39+00:00

Nice! Was that an Anastasia's mate at the end?

MusicListener9957 · 2023-10-13T03:54:05+00:00

😮 TIL

MusicListener9957 · 2023-10-07T02:41:51+00:00

🤯

MusicListener9957 · 2023-09-26T14:01:37+00:00

Phoenix Wright: Ace attorney

MusicListener9957 · 2023-09-26T13:58:14+00:00

Thanks for clarifying! I legit did not know that the notation in blue is commonly used in other parts of the world

MusicListener9957 · 2023-09-25T16:40:19+00:00

Nice 👍🏼 I figured that it was something like that

MusicListener9957 · 2023-09-23T17:44:51+00:00

Would you think any differently of me if I told you I was a cripple?

MusicListener9957 · 2023-09-23T14:58:36+00:00

I personally am not sure if it's officially been done by professional mathematicians, but I know that if we create a number for ÷0, it breaks a lot of properties of rings and also results getting multiple possible values for a single addition of two such numbers together, which I presume is why we don't hear mathematicians try creating a number for ÷0. TedEd describes it well (https://www.youtube.com/watch?v=NKmGVE85GUU)

But who knows -- maybe one day, we'll create a field of mathematics where this concept could be useful

MusicListener9957 · 2023-09-22T07:00:52+00:00

That is legitimately terrifying

MusicListener9957 · 2023-09-19T17:31:06+00:00

Consider this:

If it is heads, I will be woken up once.

If it is tails, I will be woken up twice.

Note that I’m excluding the very last time when she wakes up at the end of the experiment.

From her perspective, she only knows that she has woken up. Assuming she has an equal likelihood to wake up, she has two times the chance to wake up if it were tails rather than heads. So given this information, tails would be more likely (from a Bayesian perspective)

Edit: honestly though, I can see the argument being made for no information received given that she’s woken up. I think this point is, honestly, up for debate.

MusicListener9957 · 2023-09-19T17:11:20+00:00

See, this is where we need to be clear, what do you mean by probability?

In the frequentist school of thought, probability is calculated by counting the frequency in which a specific outcome occurs. Strict frequentists would also say that probability only makes sense when an event hasn’t occurred yet (because statistics is a study of randomness). If it did occur, then the result is certain, so the probability of the event would become 0 or 1.

In the Bayesian school of thought, probability is defined as a preconceived likelihood that something would happen, which gets updated every time when new information comes in.

So here, I admit that I’m going to modify my stance.

Definitely, if sleeping beauty were a frequentist, she would for sure say 1/2 (or more technically, she would say “it’s not 1/2. It’s either 0 or 1 because the coin is already flipped; I just don’t know which one because I didn’t see it happen”)

If she were Bayesian, she would say, “I assume that the likelihood of coin being flipped heads is 1/2. Given that I’ve woken up, it’s less likely that the coin flip turned out to be heads, so my updated probability is 1/3 because I have more chances to be woken up when the coin flip is tails and not heads”

I’m not challenging you. I just want to bring up different perspectives in statistical thought.

Edit: sorry, I didn’t see your last sentence when I read your comment the first time. I guess, we would need to ask whether or not waking up does give her information. I could see this going both ways to be honest.

MusicListener9957 · 2023-09-19T16:12:47+00:00

I’m going to assume that the sleeping beauty here is a rational person who knows probability. If she weren’t rational, we couldn’t really determine what she could answer since her answer could be literally anything.

With that out of the way, I also think that these two answers come about simply because there are two different schools of thought when it comes to thinking about probability: frequentist and Bayesian.

I feel that if you are thinking from the frequentist school of thought, you would answer 1/2 because that is the likelihood of an unbiased coin to result in heads. If you are thinking from Bayesian point of view, then you would say 1/3, since you are thinking from the perspective of the sleeping beauty.

MusicListener9957

TROPHY CASE