# Ask HMF anything **URL:** \ **Category:** Off-Topic\ **Created:** [December 25, 2020, 9:04pm UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423 "2020-12-25T21:04:46Z")\ **Posts on this page:** 20\ **Page:** 74
**Author:** ![Euler13](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/euler13/32/285_2.png) [@Euler13](https://www.hitmanforum.com/u/Euler13)\ **Post date:** [October 29, 2021, 10:04pm UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1618 "2021-10-29T22:04:20Z")
It’s certainly not a place you’d want to work! 🤣 Incredible as it may sound, an infinite number of infinities - like an infinite number of corridors, each with an infinite number of rooms - is still countably infinite. From this it seems almost beyond comprehension to think that there is a measure of infinity greater than this. Yet there is! And in all likelihood there are infinities beyond infinities. On a related note, a lovely mind game I like to play with my classes - I am so cruel! (Any mathematicians reading this, please note I’m using “how many” in a very loose sense.) Me: How many positive integers are there? Class: An infinite number. Me: Okay, so how many even numbers are there? Class: An infinite! Me: Right. How many odd numbers? Class: Still an infinite number. Me: Okay, if I wrote out all the counting numbers and crossed off all the odd numbers, what would be left behind? Class: All of the even numbers. Me: Very good. So what you’re saying is that starting with an infinite set of numbers (1, 2, 3, …), I can remove an infinite number of them (all the odd numbers), and rather than be left with nothing there’d still remain an infinite set of numbers (the even numbers)? Yeah, that makes sense. ---
**Author:** ![Hichkas](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/hichkas/32/83933_2.png) [@Hichkas](https://www.hitmanforum.com/u/Hichkas)\ **Post date:** [October 30, 2021, 9:41am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1619 "2021-10-30T09:41:40Z")
As an instance of infinite being greater than infinite, can we go for prime numbers and odd numbers? Both infinite, but subtracting odd from prime leads to (only) 2, where the opposite case is still infinite. ---
**Author:** ![Urben](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/urben/32/155460_2.png) [@Urben](https://www.hitmanforum.com/u/Urben)\ **Post date:** [October 30, 2021, 9:48am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1620 "2021-10-30T09:48:26Z")
But there are odd numbers which are not prime, so it leads to negative infinite, not 2. 😛 ---
**Author:** ![Euler13](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/euler13/32/285_2.png) [@Euler13](https://www.hitmanforum.com/u/Euler13)\ **Post date:** [October 30, 2021, 10:07am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1621 "2021-10-30T10:07:35Z")
What you’re suggesting is at the heart of the first case in the Hilbert hotel paradox. You could say, “Remove all the numbers greater than 1 from the set of counting numbers. Here you have removed an infinite set of numbers from an infinite set of numbers and are left with one value; that is, infinite take away infinite appears to be 1 or any finite value you choose, k, by removing numbers greater than k.” The point of the paradox is to show that you can’t do arithmetic with the infinite. Infinity is not a number, it represents a concept of something being beyond measure. Many paradoxes are based on the misconception that the infinite is a value you can apply the laws of arithmetic to. ---
**Author:** ![Urben](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/urben/32/155460_2.png) [@Urben](https://www.hitmanforum.com/u/Urben)\ **Post date:** [October 30, 2021, 10:24am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1622 "2021-10-30T10:24:15Z")
Ok clever guy, then tell me. There is a varying amount of natural numbers between prime numbers. Can this amount also be infinite? 😛 ---
**Author:** ![Euler13](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/euler13/32/285_2.png) [@Euler13](https://www.hitmanforum.com/u/Euler13)\ **Post date:** [October 30, 2021, 10:51am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1624 "2021-10-30T10:51:17Z")
> [@Urben](#): > > Ok clever guy, then tell me. There is a varying amount of natural numbers between prime numbers. Can this amount also be infinite? Not clever, it’s just my craft. But even after many years my mathematical knowledge is quite limited. Like an experienced chef who specialises in working with particular foods. In answer to your question, no, the amount cannot be infinite. It can, however, be as large as you want. We know that n! = n \* (n - 1) \* (n - 2) \* … 3 \* 2 \* 1 is divisible by all the integers from 1 to n. So n! + 2 is divisible by 2, n! + 3 is divisible by 3, and so on. That is, none of the numbers n! + 2, n! + 3, … , n! + n are prime. Hence for a finite value, n, we can guarantee to find a consecutive set of n - 1 composite integers. But as n is a number it can only be finite, so although there can be an arbitrarily large run of composites between any two primes, it cannot be infinite. ---
**Author:** ![Euler13](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/euler13/32/285_2.png) [@Euler13](https://www.hitmanforum.com/u/Euler13)\ **Post date:** [October 30, 2021, 10:58am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1626 "2021-10-30T10:58:03Z")
> [@LandirtHome](#): > > But there wouldn’t be enough rooms. Alas! You would be able to accommodate those passengers in this case. You could assign all the guests in room X to the room 2^X; so they go to rooms 2, 4, 8, 16, 32, et cetera. Each bus is allocated a prime number, such that bus Y is allocated the the (Y+1)th prime: p\_(y+1); i.e. bus 1 is given 3, bus 2 is given 5, bus 3 is given 7, and so on. Each passenger, Z, on the bus allocated room p\_(y+1)^Z. For example, bus with prime 3 go to rooms 3, 9, 27, 81, 243, and so on. Each person will be allocated a unique room. However, we notice that no one is in, say, room 6 because it is not the power of any prime. Similarly, rooms 10, 12, 14, 15, et cetera. In other words, we had a hotel with infinity many rooms that was full. After accommodating an infinite infinity of passengers we now have infinitely many unoccupied rooms. You gotta love the infinite! 🕶 ---
**Author:** ![Urben](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/urben/32/155460_2.png) [@Urben](https://www.hitmanforum.com/u/Urben)\ **Post date:** [October 30, 2021, 10:59am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1627 "2021-10-30T10:59:24Z")
But is that hotel profitable if you have to give the staff an infinite number of money? ---
**Author:** ![LandirtHome](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/landirthome/32/40646_2.png) [@LandirtHome](https://www.hitmanforum.com/u/LandirtHome)\ **Post date:** [October 30, 2021, 10:59am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1628 "2021-10-30T10:59:46Z")
Damned, I haven’t touch this stuff in years. I know there is an example that can be easily be imagined where it’s impossible. I will try to find my old notes. ---
**Author:** ![Euler13](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/euler13/32/285_2.png) [@Euler13](https://www.hitmanforum.com/u/Euler13)\ **Post date:** [October 30, 2021, 11:02am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1629 "2021-10-30T11:02:36Z")
You’re spot on about the set of real numbers. In the video they use a really nice example, showing if a bus containing infinitely many passengers with names made of infinitely many binary strings: ABAAA…, ABBAAB…, and so on, then like the real numbers you could not accommodate this infinity of passengers. ---
**Author:** ![LandirtHome](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/landirthome/32/40646_2.png) [@LandirtHome](https://www.hitmanforum.com/u/LandirtHome)\ **Post date:** [October 30, 2021, 12:02pm UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1631 "2021-10-30T12:02:53Z")
I hope everyone will pardon the deletion and repost of my two previous posts but they were inaccurate in certain place. @Euler13 I trust you to verify, if you want. (I notably previously mixed rational, real, and complex numbers, it’s been a while) * * * @Urben The best example of two very different set of infinity is : - N set, the natural set (ie “full numbers” used for counting, 1 2 3 4 5…) : there is obviously an infinity of them - Q set, the rational set (ie decimals 0,1 0,01 0,001…) : also an infinity of them, but well there is an infinity of them more than the natural one since there is a infinity of them between each natural number. Both are infinite. One is seemingly larger, but both are countable and in the end as. Even more both can be expressed with the other. * * * @Hichkas Something else you could have for the hotel is to imagine it incrementaly. Imagine the following : - You have an hotel with an infinity of room. - Arrive an infinity of clients - The hotel is full Suddenly an new client arrives, can you have more than the infinity already here ? yes - you wake every client and ask them to go to the next room - the client in room 1 goes to room 2, the client in room 2 goes to room 3, the client in rrom 3 goes to 4, … - you give the key to room 1 now unoccupied to the new client - the hotel is full, all client are served > **So infinity +1 is still the same infinity** Even more suddenly an infinity of clients arrive, can you have that much more ? yes - you wake every client and ask them to go to the room with twice the number - the client in room 1 goes to room 2, the client in room 2 goes to room 4, the client in room 3 goes to 6, … - every client is in an even room - you give the new clients the uneven rooms, there is an infinity of them - the hotel is full, all clients are served > **So two time the infinity is still the same infinity** An infinity of bus arrive with an infinity of passengers each, can you have that much more ? yes - you do a double entry table with at the top the bus number and on the side the passenger number - you fill it in diagonal for an easy match for everyone | - || Bus 1 |Bus 2|Bus 3| Bus 4 |Bus 5|…| |—|—|—|—|—|—|—|—|—|—| | **P1** ||1|3|6|10|15|…| | **P2** ||2|5|9|14|20|…| | **P3** ||4|8|13|19|26|…| | **P4** ||7|12|18|25|33|…| | **P5** ||11|17|24|32|41|…| |…||…|…|…|…|…|…|…|…| - the hotel is full, all the clients are served > **An infinity of infinity is still the same infinity** **The importance in set of infinity is to know if you can express one with an other.** **In other term can we transform the numbers in the set with mathematics into a number that also is in the same set.** **Can we transfer a number in another number place, a client in another room** **If so they are as big/identical, if not one is larger than the other.** (I just realised I might have just resaid what was told in the video, I can’t watch it now) * * * * * * > **But now is when things start to be tricky.** As I said, the important part is to know if each set of infinity can be expressed from another one. In the previous examples, in mathematics all of them are part of the Q set. The rational set. The definition of the Q set is any numbers that can be expressed as a fraction of two natural number - 1 is a rational number. - 0.5 is a rational number because it also is 1 / 2 - minus 2.27465892247 is a rational number because it’s also -53872153 / 23683618 - … But then you have numbers like pi or the square root of 2. They are part of the R set, the real set. It’s definition is that it’s any numbers. Like that’s it. Any numbers that are in reality (hence the name). (alright I simplify, there is obviously more, much more, because mathematicians are a bunch of rude people, but that will be enough for us here) As a consequence they also includes numbers that cannot express themself as a fraction of two natural numbers. - for the funny anecdote, in ancient greece there once was a sect - this sect was one of mathematicians (yes, I know) - it was called the pythagorian - the largest tenet of the sect was the beauty of the world and how everything can be expressed through fraction - the most holy number was what we now call pi, because it was the beautifull number that could express through a fraction a circle. - they then discovered that pi itself could not be expressed by a fraction - it did not end well - madness - like murder over it to hide the shame kind of madness Remember when I said the importance is if that the infinity set need to be capable of expressing themself with another ? Well, that’s it. In the metaphor of the hotel, you have a rational number of room, so if a real number of clients arrive then you won’t be able to accomodate them all. Because there is no way to transform all the possibility of the real set into the rational set. You will always have some left, all the one that are not a fraction. You would be capable to do the reverse though. An hotel with a real number of room, some named pi, some other name squareroot of 2, some just named 42. A list of client named after rational number. With a lot of room to spare ---
**Author:** ![Heisenberg](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/heisenberg/32/143140_2.png) [@Heisenberg](https://www.hitmanforum.com/u/Heisenberg)\ **Post date:** [October 30, 2021, 12:19pm UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1632 "2021-10-30T12:19:53Z")
If I may momentarily derail the conversation with a somewhat more practical question; is anyone even actually _staying_ at this hotel? 😜 ---
**Author:** ![LandirtHome](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/landirthome/32/40646_2.png) [@LandirtHome](https://www.hitmanforum.com/u/LandirtHome)\ **Post date:** [October 30, 2021, 12:30pm UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1633 "2021-10-30T12:30:14Z")
I mean in my examples the clients are woken up and made to change rooms every five minutes… So yes, but not for long. Reviews are going to be abyssimal. Also I heard the elevators are broken, so that’s another nope for anyone above the thousandth floor, and with an infinity of room that’s the majority of them. 😀 ---
**Author:** ![Hichkas](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/hichkas/32/83933_2.png) [@Hichkas](https://www.hitmanforum.com/u/Hichkas)\ **Post date:** [October 30, 2021, 12:33pm UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1634 "2021-10-30T12:33:31Z")
> [@LandirtHome](#): > > Also I heard the elevators are broken, so that’s another nope for anyone above the thousandth floor It’s worse actually, the example shows a linear corridor so good luck walking to room 982734982742348. ---
**Author:** ![LandirtHome](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/landirthome/32/40646_2.png) [@LandirtHome](https://www.hitmanforum.com/u/LandirtHome)\ **Post date:** [October 30, 2021, 12:39pm UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1635 "2021-10-30T12:39:26Z")
Haven’t watched the video yet; I wrote everything from old memories and I realised halfway through that the majority of my post might just be a retelling of it. I’m a bit toom much enthusiatic when I want. (you also made me reawake some part of my mind that were dormant for a long time, so thanks 🙂 ) Still hope I helped. The main thing is still to see the whole situation as “can I transform one number into another one that is part of the same set” ---
**Author:** ![Danger\_dog\_guy\_7](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/danger_dog_guy_7/32/143138_2.png) [@Danger\_dog\_guy\_7](https://www.hitmanforum.com/u/Danger_dog_guy_7)\ **Post date:** [November 2, 2021, 8:33am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1636 "2021-11-02T08:33:33Z")
Quick question for PC players: Would someone be able to take a high res screenshot of Sully Bowden in fighting pose? I can’t seem to find it anywhere. (A sceen of the briefing is fine too. Just that its high res). ---
**Author:** ![Count.Rushmore](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/count.rushmore/32/173_2.png) [@Count.Rushmore](https://www.hitmanforum.com/u/Count.Rushmore)\ **Post date:** [November 2, 2021, 10:02am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1637 "2021-11-02T10:02:11Z")
You mean when he’s fighting with 47 or with his ward? Also what resolution do you need? I’m able to capture up to 64000x36000. Though I bet the file size will be a couple of GBs then. Resolution variants I have: 2x - 5120x2880 3x - 7680x4320 4x - 10240x5760 5x - 12800x7200 … 25x - 64000x36000 ---
**Author:** ![Danger\_dog\_guy\_7](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/danger_dog_guy_7/32/143138_2.png) [@Danger\_dog\_guy\_7](https://www.hitmanforum.com/u/Danger_dog_guy_7)\ **Post date:** [November 2, 2021, 10:47am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1638 "2021-11-02T10:47:23Z")
I guess 4x - 10240x5760 would do fine. I need a screenshot of him from the front holding up his hands like he’s gonna hit someone. Basically like this but not blurry ![image](https://hitmanforum-v6-s3-uploads.s3.dualstack.us-west-1.amazonaws.com/original/3X/f/3/f3547644b344eb2aade18507200fd0d38f6afd6b.jpeg) ---
**Author:** ![Count.Rushmore](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/count.rushmore/32/173_2.png) [@Count.Rushmore](https://www.hitmanforum.com/u/Count.Rushmore)\ **Post date:** [November 2, 2021, 11:02am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1639 "2021-11-02T11:02:41Z")
[Here you go](https://dl.dropboxusercontent.com/s/zk959it724rk6ez/Sully.Bowden.zip) Let me know if you need something more or different ---
**Author:** ![Danger\_dog\_guy\_7](https://www.hitmanforum.com/user_avatar/www.hitmanforum.com/danger_dog_guy_7/32/143138_2.png) [@Danger\_dog\_guy\_7](https://www.hitmanforum.com/u/Danger_dog_guy_7)\ **Post date:** [November 2, 2021, 11:05am UTC](https://www.hitmanforum.com/t/ask-hmf-anything/423/1640 "2021-11-02T11:05:58Z")
Damn thats fantastic dude!! Thanks you so much 😃 While you’re at it, could you also take a few screens of 47 in the Nr6 suit w/ gloves while in fighting stance (in Chongqing). Same resolution and everything. You would make my day 🙏 [Previous page](https://www.hitmanforum.com/t/ask-hmf-anything/423.md?page=73) [Next page](https://www.hitmanforum.com/t/ask-hmf-anything/423.md?page=75)