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@@PAWSAREONGRASS Edgeworth being adopted into the von Karma family is popular fanon that is based on Franziska calling him little brother in the English translation and the general sibling rivalry-esque dynamic they have, but as far as the game continuity is concerned, all textual evidence suggests that Edgeworth is just Manfred’s student and not his legally adopted ward.
The problem with hole is it depends on how you have defined it. Like how Phoenix defines it "a hollow place in a solid body" In this case a straw only have one hole. I think.
Dividing a finite object in an unlimited amount of arbitrarily small units, huh. Dude just reinvented integrals. He'd do well in calculus ! But none of them seemed to notice that this definition they quoted was actually two definitions in one: "A hollow space in an object or surface" can be separated as "A hollow space in an object"OR"A hollow space in a surface". The two groups thought they had agreed on a single definition, but they were really using different ones with different implications. To re-take the example of someone drilling through the earth. Assuming there is no collapse in the gallery, there is a single continuous hollow space in earth. But that is considering the earth as a solid object, if you only consider the earth's surface, it has two separate empty spaces. Nothing connects them, since the gallery isn't part of earth's surface, and therefore not considered. Meaning if you consider the definition with "object", you have one hole, and considering the definition with "surface" you have two holes. Same apply to the straw : If you consider it as a cylinder, then are two holes on it's outer surface, but only one in the object. However, if you don't consider it a cylinder, but simply "straw-shaped", you could even say it has no hole at all, because you consider the space that a tiny ant coul walk on if you put it on the straw for the surface, and the actual volume of plastic for the volume. But to get back at what Phoenix said near the end : He's basically using the "surface" version of definitions, while considering a volume to be made of an infinity of juxtaposed surfaces. That kind of logic is genuinely used in some fields of physics ! Phoenix is just a misunderstood genius.
This wins the comment section. This all makes sense! And the part about a juxtaposed surface is indeed what I was trying to say (just uh, you said it smarter)
except you can't actually cut the straw infinitely there for you can't have an infinite number of all the least you can go is atomic level holes in which they'll be finite
Topologically speaking, straws have one hole, because they can be deformed continuously into a torus. What I think Phoenix is instead referring to is an *opening*. In that regard he is correct, there are two openings to the hole.
1) A straw cannot be deformed into a torus continiously, it is clearly not homeomorphic, for instance they have different fundamental group, so they do not even have the same homotopic type. A straw is homotopically equivalent to a circumference (S^1) or a hollow circle, so it is correct saying that it has one hole. 2) Under most notions of "hole" I'd assume most people would say a Torus has two because its 1 degree homology has two generators or something like that. That said, one good way to see that a straw has one hole is to ask how many holes a ring has, i feel most people would intuitively say just one and in reality a straw is just a stretched ring. It's great when things get preserved by continious transformations.
Each opening is a hole. A hole in a piece of paper wouldn't have two holes though. A straw has two holes for one tunnel. However the hole in a piece of paper would be too thin for the middle to be a tunnel, thus there's no distinct entrance or exit holes.
@myau9912 Too thin to be a tunnel for people, but for microscopic organisms the thickness of paper isn’t negligible like it is to humans. So at what level of thickness does something become a tunnel? 1 micron? .5 microns?
Zero holes. Like all 3D circles with holes in the middle, straws are 4D objects projected in 3D space. It's like asking how many sides a Klein bottle has
To counter Phoenix's argument about paper having two holes, the number of sides doesn't actually matter: what does matter is the *location* of the hole. The reason why a shirt having a hole in the front and a hole in the back counts as two holes is because the front and back are two separate areas on the shirt. But with a sheet of paper, the front and back sides occupy the same space, so even though it has two sides, it's only one hole. Additionally, while some holes have bottoms to them, such as cups, others do not, such as holes in clothing, paper, etc., which is how we can actually determine the exact number of holes a straw has. Because the space from one opening of a straw has nothing to block it off, it is one single hole that goes from one end to the other.
As a prospective mathematician, this video explores surprisingly well what should be considered the definition of a 'hole', of course, in a more heuristic and trial-and-error-like manner.
*OBJECTION* 3:20 Godot makes a point, an entrance and a exit. Mugs are MORE similar to straws and there are entrance and exit points. How come if I rip one side of a shirt its one hole, but the other its still 2 holes. You are acting as if we are in the second dimension….
At this point we are just arguing if holes are 2 dimensional or 3 dimensional. If we define them as 2 dimensional like wright, we can get infinite wholes, but if we define them as infinitely 3 dimensional, then that would mean we are just defining all empty spaces in the universe as one big hole, if we define the universe as an object. I'll take the second approach for this one. This means that any single object we look at , whether inside or outside the universe, has one whole, but a different amount of openings. This also applies to simple shapes like spheres and squares because of the holes between atoms. This also presents a problem of infinite openings, however i would like to present the jury with an opinion on openings that we should all be able to agree on. If there is an opening smaller than what the human eye can see, it's not an opening. Case, closed
Objection! I would like to draw your attention to small animals such as tardigrades and other microscopic or maybe even a bit bigger living organisms. They obviously have holes on/in them since they need it for their survival as well. So I recommend changing the definition. Holes should only qualify as holes if they can be made visible with technology. This shouldnt include drawings and theoratical models on the atomic, subatomic level. Images from electron microscope would be included however.
Okay, if I… if I chop you up in a meat grinder, and the only thing that comes out, that's left of you, is your eyeball, you'r- you're ... probably dead
A straw is a cylinder with one hollow inside, with two openings. As a mathematician who has done an immense amount of research on this topological question, you can assume it is the correct approach to say that a straw can’t have holes because the definition of what a straw is already takes into consideration the single vertical hollow inside (the hole corresponding volume) and the two openings (the holes corresponding to second dimensional area while at the same time having relevancy with the single hole corresponding to volume).
Phoenix theory fall down in the moment in the moment you start adding openings to the straw, a Y shaped straw obviously has the same amount of holes as an X shaped straw
Both answers are correct, with _hole_ reffering to two similar yet distinct things. There is 1 hole (hollow space in thing) and 2 holes (opening in thing that can, but doesn't have to, lead to aftermentioned hollow space) in straw. Edit: Hole type nr 2 doesn't have sides - each opening counts as one hole
A cup has one hole that has the same exit as its entryway. If you broke the bottom of the cup, you would then have a thick straw. The length of the object must have something to do with the number of holes, so a straw must have one hole. That reason being that not only was it created using a method of extrusion molding (heated material forms around an object), but it is also exactly the same shape on both sides. This excludes bendy straws, even though they are still straws. The fact being that you wouldn't be able to tell the sides apart without it being marked in some way, so it is just a long hole. An argument against this may be describing the two ends and what ends up where (one side in the cup, the other in the mouth), but it is the same liquid touching the same material of the same thickness. It tastes the same either way, and the path to get to the mouth is constant. Look at it from the perspective of one side of the straw. if you look through it, you see the world from the other side. It is connected as a single hole. Please give me your opinions! Edit: 8 months later, I have a new thought. The original mention of length being a factor is all together wrong, but I think I had a good idea. 😆 I think a mug handle can indeed be a hole depending on how you look at it. Either it is a hole, or just a handle, just something to grasp. There are many types of things that we refer to as holes. A keyhole, a hole in the ground, a hole in the wall, holes in a shirt. Perhaps what defines a hole is "an opening," one that can have both a constant path or a blocked one. (This makes sense, right? Ww)
I've really summoned a whole league of philosophers, huh? I'm not sure I'd considering being able to tell the difference between the two sides as an important factor... I just can't explain why
@@FrostDeino Oh yeah! I get why it would be difficult to understand. I suppose it would mostly work for things that are symmetrical in some way. I guess you can think of it as no matter the length of the straw, no matter the shape, it is still a constant. Even bendy straws are a constant. They aren't symmetrical, but they still make the same result. Thank you for your reply! It was a great video to think about, and it was made better with Ace Attorney!
@@FrostDeino well, if I were to take a square of clay, and poke a small hole on two opposite sides in the same spot, it would have two holes. If I were to press hard, and I penetrate the square, the two holes would connect, forming a conjoined hole. If I poked another hole, and repeated the process, i would have 3 conjoined holes. 1 hole total. Much like a compound formula of the periodic table. We can keep on adding conjoining holes, and forming the clay square into a whole ant colony. So, the straw is just two conjoined holes, or 1 hole. If I were to take the shirt with 6 holes in it, it would technically be 8 conjoined holes, including the backs of the holes in the middle, so the shirt with holes in it is one hole. Which does prove Pheonix to be partly correct, but nobody could count the correct amount of holes in a shirt. Referring to the example of cutting the straw into pieces, our 6 conjoined hole square would be split in two, but each half would retain all 6 if you put one whole directly in the center of each side. So, even a square can duplicate its conjoined holes. Like the humble energy, it cannot be created or destroyed, only morphed. You would be morphing the straw, giving it more holes by technicality. You would achieve the same result of adding holes as cutting the shirt or square in halves. You are splitting the colony into multiple colonies, therefore increasing the amount of holes. So Wright's straw example was correct, and it is also true that straws have one hole, so everybody is partly correct, and bendy straws keep their count of holes. Putting the bits of the straw back together would reform the colonies, theoretically decreasing the amount of holes in the straw. For a shape to have two different holes, there has to be a gap inbetween both colonies. One hole. Problem solved.
@@shannonhoward4792 I agree with what you said. I had trouble explaining my thoughts on this, but I can see that we have the same idea. I like to think that the object itself determines the number of holes. What I mean is that a t-shirt and a straw are totally different when it comes to determinating the amount of holes. The straw is seen as if it were connected to something on both ends, like if a shirt has a hole through the middle, it would be on both sides. If you look at its entirety, you can see that it has the purpose of transferring at a constant. An escalator does the same. It travels at a constant speed in a certain direction, going to a specific place. I'm quite bad at giving my thoughts, so forgive me.
1:25 I always wondered if that would ever happen. One of the lawyers objects, iconic and epic Cornered theme plays...and they have nothing to say. You have fulfilled my expectations.
For the record, using phoenix’s logic, that shirt could have 12 holes, because each hole in the center of the shirt has 4 holes, since the front of the shirt has a hole, the back of the shirt has a hole, but the inside of the front side of the shirt is ALSO a hole, and so is the back-inside.
@@TheCreCre *HOLD IT* Imagine a parasite trying to enter your body. It could go through only one way: Through your privates, nose, mouth, ears, maybe eyes if small enough.
If a hole is a hollow place in a solid body, then the number of e tranves is irrelecant to the number of holes. A straw has one hole. In fact, a straw with sealed entry points, and thus 0 entrances or exists, still has a hole, the hole is just inaccessible.
The reason why when you cut a straw in half it makes 2 seperate holes, is because now they have 2 seperate entry and exit points. Before, they shared the same entry and exit point, making them a solid “hole”. However, if you take this new half of the straw and line it up perfectly with the other one, now you have one hole with a gap in the middle. And if you cut up the straw into infinite slices and place them next to each other, you have yourselves infinite holes, because they have infinite unique entry and exit points
0:28 Michael:vsauce,Michael here Topology:Bye Topology has left the chat Micheal:A hole in a mathematical object is a topological structure which prevents the object from being continuously shrunk to a point. 5:13 Leibniz:HELP,this guy didn't listen Leibniz left the chat.
It depends on how hot it is. The temperature tells how fast the molecules are moving in the straw. And, the moving molecules form empty spaces in between them. Those are holes. So, I would prob say around 50 quintillion XD
But then it's not the same body, you are getting a system of bodies that isn't an equivalent as the original body (a straw on a table is not the same as a multiple ring fragments on a table)
But the logic doesnt work, when you cut a straw you DO get more holes but you also get more straws, just shorter ones and the question was how many holes in ONE straw
it depends on how the straw was made if they just punched a hole into the straw from one side, its one hole if they did that form both sides, its 2 holes
I view things through practical real-life purposes only, not mathematical or philosophical. If there is ever a point where you can tell someone "No, don't put it through that hole, put it through the other hole." then it has two holes. So straws have two holes. The hole is the opening/exit and everything past the opening is a tube or tunnel until it reaches either an exit, such as another hole, or a deadend. I dont know of any situation of why it would it ever matter which hole you use for a straw, but that isnt the point. The fact that that's even a question at all means it has two.
Fun fact: if you look at a normal clothes 👕 you will see 4 holes, so technically if i close the 2 holes where you put your arms in it will be technically have 2 holes because 4 - 2 = 2
4:02 to be fair he’s not wrong, if you use sticky tape and pull it off sometimes a layer of paper comes off technically being one thin hole so going through the whole paper leads to two holes
Here's my take: A doughnut has 1 hole, and so does a coffee mug, because we can start with a doughnut, and sculpt it into the shape of a mug, without introducing new holes. Likewise, a straw is just a long doughnut; like a doughnut, it can be sculpted to become a coffee mug. This assumes the definition of a Hole in topology, which states that a hole in a mathematical object (like a doughnut, more formally known as a torus) is a topological structure that prevents the object from being continuously shrunk to a point. With this definition, a Mug has a *pit*, which I define as a significantly large, concave depression in an object, like the ones used in cups and mugs to hold a liquid. By the definition in topology, a mug, straw, and doughnut have 1 hole, and so do all the cases, except for the shirt which has 1 for the neck and torso, 1 for each arm, and 2 extra, making 4 holes, and as for the initially proposed question, Vsauce made a video about that, but to resume, at the scale of 60 microns, the human body has 7 holes, each being the tear ducts (2 in total), the GI tract, Nostrils, and both Eyesockets (2 in total). What Phoenix presented was the simple observation that a circumference, with a radius equal to that of the cylindrical surface it exists on, can be drawn an infinite number of times, but since a circumference i a 1D line curved in a higher dimension, and since those circumferences are stacked in a cylinder, forming a 2D manifold, or 2D surface, the straw doesn't have an infinite number of holes, but only 1.
I suppose it depends on how perceive the straw, like imagine instead of it just being a long hole, if you were to cut off a very small bit of the straw, you would most likely define it as a single hole. It’s hard to explain my thoughts without photographic aid. Maybe think of it like a tesseract, specifically how they describe one in a wrinkle in time
I think they were getting "hole" mixed up with "tunnel". After all, a hypothetical tunnel leading from one end of the Earth to another would be a single tunnel; and yet, it would have two entrances on either side, and therefore, two holes. A straw is a similar case; one single tunnel with an opening, or "hole", on either side. The ripped-up shirt would have four holes (unless you also count the sleeves, neck, or bottom); two on the front, and two on the back. The "tunnel" in this case, would be the inside of the shirt. Although, now that I think about it... If you have a tunnel that branches off into multiple paths, each with their own opening to the outside, would that still be one singular tunnel? Or would it be multiple tunnels, all connected to one another? And if there's an actual room somewhere in there (Like a basement surrounded by hallways), would that room be another tunnel? Part of a tunnel? _Not a tunnel at all?_ And if the room *IS* considered part of a tunnel: If more than one tunnel connects to it, how do we go about deciding which tunnel it should be a part of? Unless we say half of the room is part of one tunnel, and the other half belongs to the other tunnel... Unless there's _three tunnels?_ What if they're all on the *SAME SIDE?* I- Uh..... My head hurts... DX
Technically it depends on wether you call the holes the number of entrances or go strictly by the definition, but a hollow piece with multiple interconecting entrances still has a singular hole.
Here's the thing about Wright's idea of cutting the straw: 1: then it is no longer one straw, rather two smaller straws that each are half of the size of the origional. 2: the prompt specifically says: how many holes are in A (singular) straw
Its 1. Of you have an object with 2 holes and change its shape it will still have two holes, if you change a straw into a disk (imagine pulling a side apart on one end) it turns into a disk with a single hole. The same way a balloon doesnt have a hole at all.
4:57 These are just differences in elevation. Since it's the same object and none of those are enterences or exits they don't count here. Or do you want to couldn't every submolecular gap? Because that still isn't infinite, it's high, yet finite. And a spring doesn't really have any holes since it's a coiled metal string essentially.
Topologically speaking, a straw and coffee mug have 1 hole along with a donut, the shirt would have 4 holes. Defining a hole as an entrance/exit, a straw has 2 holes, a coffee mug 3, and the shirt 8. Defining by feel, straw has 2, donut 1, mug 2, and shirt 6.
After my calculus class, in which we evaluated solids of a certain cross section along a path, I think Phoenix is right…it’s integration, so “infinite” cross-sections (infinitely small, actually), which translates to infinite holes. I don’t really like it but I think it’s true.
I'm pretty sure that would only be the case if he actually cut the straw, the same way that something's state is defined as what it now, rather than what it could be if you cut it into infinite pieces. Otherwise, you could cut infinite holes from any object that exists, and thus any object taking up any space would have infinite holes, even if it were, say, a sphere.
Karma, von Karma, Edgeworth, and Godot overdo and they also get outsmarted by Pheonix most of the times. They also wont let Pheonix talk sometimes. Pheonix is my favorite character because he can outsmart people. The shirt had 8 holes not 6 holes.
I think if it has an entrance but no exit, its more of a hole, while if it has an entrance and an exit, its a tunnel. So a straw is a long but small tunnel.
i would say if there is no hollow area / inside to speak of, its one hole through an object. if there IS an inside, that hollow area would have two holes connecting it to the outside.
my theory: say you dig through earth, that wouldn't be a hole but a tunnel because you can enter and leave from different places but if you dig a hole in the ground you cant enter and leave from some other side, only the same hole you dug - so a straw has zero holes and one tunnel going through it
Let me explain the paper analogy, there are 2 theoretical sides, a hole on each, but when you split the thing paper there becomes holes no both, creating 4 holes, due to his analogy this would/could go on forever and, in turn be infinite holes.
a hole is a part of an object that is hollow, and has a start or end. the shape doesn't matter, nor the curvature. there are many types of holes, but "straw holes" are "connected". other holes are just pits. holes in clothes (if on both sides) are not "connected", and therefore are 2 sepperate holes. (how did I write that on a phone by myself without misspelling anything?)
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Karma and Phoenix on the same side is literally Edgeworth's nightmare why must our boy suffer like this
Soooo true lol
Send help 😔
Karma and Phoenix are wrong though
@@Miles--EdgeworthOH OK (gives rocket launcher)
@@catrinaquenon6582why the hell is this on ur person.
*Karma:* Fatherless.
*Edgeworth:* AND WHOSE FAULT IS THAT!?
Karma adopte him?!
@@PAWSAREONGRASS Edgeworth being adopted into the von Karma family is popular fanon that is based on Franziska calling him little brother in the English translation and the general sibling rivalry-esque dynamic they have, but as far as the game continuity is concerned, all textual evidence suggests that Edgeworth is just Manfred’s student and not his legally adopted ward.
Admittedly, he might be adopted in the anime continuity, according to some anime exclusive flashback scenes.
@@justincarino9653 k
In the anime, Von Karma says "Sometimes I wonder why I adopted that boy" and was once going to put him in an adoption center
The problem with hole is it depends on how you have defined it.
Like how Phoenix defines it "a hollow place in a solid body"
In this case a straw only have one hole. I think.
FBI OPEN UP
In that case the broken short also has 1 hole only?? Because they’re connected??
objection!
The problem persists, what defines the number of empty spaces? They exist like gas theres no way to count it like you count ice cubes for example
Tbh hatiku has a point
Phoenix busted out text book definition with out the book. When he said he had this discussion before he meant many times.
N9
Dividing a finite object in an unlimited amount of arbitrarily small units, huh. Dude just reinvented integrals. He'd do well in calculus !
But none of them seemed to notice that this definition they quoted was actually two definitions in one: "A hollow space in an object or surface" can be separated as "A hollow space in an object"OR"A hollow space in a surface".
The two groups thought they had agreed on a single definition, but they were really using different ones with different implications.
To re-take the example of someone drilling through the earth. Assuming there is no collapse in the gallery, there is a single continuous hollow space in earth. But that is considering the earth as a solid object, if you only consider the earth's surface, it has two separate empty spaces. Nothing connects them, since the gallery isn't part of earth's surface, and therefore not considered.
Meaning if you consider the definition with "object", you have one hole, and considering the definition with "surface" you have two holes.
Same apply to the straw : If you consider it as a cylinder, then
are two holes on it's outer surface, but only one in the object.
However, if you don't consider it a cylinder, but simply "straw-shaped", you could even say it has no hole at all, because you consider the space that a tiny ant coul walk on if you put it on the straw for the surface, and the actual volume of plastic for the volume.
But to get back at what Phoenix said near the end : He's basically using the "surface" version of definitions, while considering a volume to be made of an infinity of juxtaposed surfaces. That kind of logic is genuinely used in some fields of physics ! Phoenix is just a misunderstood genius.
This wins the comment section.
This all makes sense!
And the part about a juxtaposed surface is indeed what I was trying to say (just uh, you said it smarter)
except you can't actually cut the straw infinitely there for you can't have an infinite number of all
the least you can go is atomic level holes in which they'll be finite
@@firasempire5294 Technically you can just cause an explosion which would make another hole
I'm not reading this
What does you mean by gallery??
Topologically speaking, straws have one hole, because they can be deformed continuously into a torus.
What I think Phoenix is instead referring to is an *opening*. In that regard he is correct, there are two openings to the hole.
So basically straw has one hole as an object but two holes as a set of surfaces?
It's always great seeing another pal who know's advanced math knowledge
1) A straw cannot be deformed into a torus continiously, it is clearly not homeomorphic, for instance they have different fundamental group, so they do not even have the same homotopic type. A straw is homotopically equivalent to a circumference (S^1) or a hollow circle, so it is correct saying that it has one hole.
2) Under most notions of "hole" I'd assume most people would say a Torus has two because its 1 degree homology has two generators or something like that.
That said, one good way to see that a straw has one hole is to ask how many holes a ring has, i feel most people would intuitively say just one and in reality a straw is just a stretched ring. It's great when things get preserved by continious transformations.
Each opening is a hole.
A hole in a piece of paper wouldn't have two holes though. A straw has two holes for one tunnel. However the hole in a piece of paper would be too thin for the middle to be a tunnel, thus there's no distinct entrance or exit holes.
@myau9912 Too thin to be a tunnel for people, but for microscopic organisms the thickness of paper isn’t negligible like it is to humans. So at what level of thickness does something become a tunnel? 1 micron? .5 microns?
I love how in this most of them actually changed team
Zero holes. Like all 3D circles with holes in the middle, straws are 4D objects projected in 3D space. It's like asking how many sides a Klein bottle has
🤓🤓🤓
@@FrostDeino Based
Bro it cant be zero holes… how would you suck out of it. Its 1 hole
I think there was a through hole in all of your skulls
Straws have one hole, Klein bottles have one side.
A straw can't have holes, it's already a hole
Ye
air is a hole, a straw is not just air it has air in the center, its not a hole, it has 1, 2, or infinite holes
What about the plastic
Oh yeah? And what if I punch a hole on the side of the straw?
i havent seen manfred in objection lols in so long
I like using him
To counter Phoenix's argument about paper having two holes, the number of sides doesn't actually matter: what does matter is the *location* of the hole. The reason why a shirt having a hole in the front and a hole in the back counts as two holes is because the front and back are two separate areas on the shirt. But with a sheet of paper, the front and back sides occupy the same space, so even though it has two sides, it's only one hole.
Additionally, while some holes have bottoms to them, such as cups, others do not, such as holes in clothing, paper, etc., which is how we can actually determine the exact number of holes a straw has. Because the space from one opening of a straw has nothing to block it off, it is one single hole that goes from one end to the other.
As a prospective mathematician, this video explores surprisingly well what should be considered the definition of a 'hole', of course, in a more heuristic and trial-and-error-like manner.
I'm literally Einstein
A straw is topologically similar to a donut, therefore it is one hole
*OBJECTION*
3:20 Godot makes a point, an entrance and a exit. Mugs are MORE similar to straws and there are entrance and exit points. How come if I rip one side of a shirt its one hole, but the other its still 2 holes. You are acting as if we are in the second dimension….
You are right
At this point we are just arguing if holes are 2 dimensional or 3 dimensional. If we define them as 2 dimensional like wright, we can get infinite wholes, but if we define them as infinitely 3 dimensional, then that would mean we are just defining all empty spaces in the universe as one big hole, if we define the universe as an object. I'll take the second approach for this one. This means that any single object we look at , whether inside or outside the universe, has one whole, but a different amount of openings. This also applies to simple shapes like spheres and squares because of the holes between atoms. This also presents a problem of infinite openings, however i would like to present the jury with an opinion on openings that we should all be able to agree on. If there is an opening smaller than what the human eye can see, it's not an opening. Case, closed
Yes you managed to formulate that argument very well thanks man
Objection!
I would like to draw your attention to small animals such as tardigrades and other microscopic or maybe even a bit bigger living organisms. They obviously have holes on/in them since they need it for their survival as well. So I recommend changing the definition. Holes should only qualify as holes if they can be made visible with technology. This shouldnt include drawings and theoratical models on the atomic, subatomic level. Images from electron microscope would be included however.
If we start defining things by their ability to be observed by humans we'd be throwing all of theoretical physics, a good chunk of quantum physics
What we need to do is clarify that a hole has to be dug out of something, that way holes are made from openings, and that straws are tubes
i never though Von Karma would be fighting side to side with Phoenix
3:03 he really just pulled out a jerma by using a death threat as example
Okay, if I… if I chop you up in a meat grinder, and the only thing that comes out, that's left of you, is your eyeball, you'r- you're ... probably dead
But An opening Is still a hole.
A straw is a cylinder with one hollow inside, with two openings.
As a mathematician who has done an immense amount of research on this topological question, you can assume it is the correct approach to say that a straw can’t have holes because the definition of what a straw is already takes into consideration the single vertical hollow inside (the hole corresponding volume) and the two openings (the holes corresponding to second dimensional area while at the same time having relevancy with the single hole corresponding to volume).
Phoenix theory fall down in the moment in the moment you start adding openings to the straw, a Y shaped straw obviously has the same amount of holes as an X shaped straw
Im not gonna even talk to one of these guys, they made a simple object complicated, i just want to drink with a straw 💀
Both answers are correct, with _hole_ reffering to two similar yet distinct things. There is 1 hole (hollow space in thing) and 2 holes (opening in thing that can, but doesn't have to, lead to aftermentioned hollow space) in straw.
Edit: Hole type nr 2 doesn't have sides - each opening counts as one hole
Phoenix: *Shows attorney badge*
Everyone else: “I’m sorry”
A cup has one hole that has the same exit as its entryway. If you broke the bottom of the cup, you would then have a thick straw. The length of the object must have something to do with the number of holes, so a straw must have one hole. That reason being that not only was it created using a method of extrusion molding (heated material forms around an object), but it is also exactly the same shape on both sides. This excludes bendy straws, even though they are still straws. The fact being that you wouldn't be able to tell the sides apart without it being marked in some way, so it is just a long hole. An argument against this may be describing the two ends and what ends up where (one side in the cup, the other in the mouth), but it is the same liquid touching the same material of the same thickness. It tastes the same either way, and the path to get to the mouth is constant. Look at it from the perspective of one side of the straw. if you look through it, you see the world from the other side. It is connected as a single hole. Please give me your opinions!
Edit:
8 months later, I have a new thought.
The original mention of length being a factor is all together wrong, but I think I had a good idea. 😆 I think a mug handle can indeed be a hole depending on how you look at it. Either it is a hole, or just a handle, just something to grasp.
There are many types of things that we refer to as holes. A keyhole, a hole in the ground, a hole in the wall, holes in a shirt. Perhaps what defines a hole is "an opening," one that can have both a constant path or a blocked one. (This makes sense, right? Ww)
I've really summoned a whole league of philosophers, huh?
I'm not sure I'd considering being able to tell the difference between the two sides as an important factor... I just can't explain why
@@FrostDeino Oh yeah! I get why it would be difficult to understand. I suppose it would mostly work for things that are symmetrical in some way. I guess you can think of it as no matter the length of the straw, no matter the shape, it is still a constant. Even bendy straws are a constant. They aren't symmetrical, but they still make the same result. Thank you for your reply! It was a great video to think about, and it was made better with Ace Attorney!
@@FrostDeino well, if I were to take a square of clay, and poke a small hole on two opposite sides in the same spot, it would have two holes. If I were to press hard, and I penetrate the square, the two holes would connect, forming a conjoined hole. If I poked another hole, and repeated the process, i would have 3 conjoined holes. 1 hole total. Much like a compound formula of the periodic table. We can keep on adding conjoining holes, and forming the clay square into a whole ant colony. So, the straw is just two conjoined holes, or 1 hole. If I were to take the shirt with 6 holes in it, it would technically be 8 conjoined holes, including the backs of the holes in the middle, so the shirt with holes in it is one hole. Which does prove Pheonix to be partly correct, but nobody could count the correct amount of holes in a shirt. Referring to the example of cutting the straw into pieces, our 6 conjoined hole square would be split in two, but each half would retain all 6 if you put one whole directly in the center of each side. So, even a square can duplicate its conjoined holes. Like the humble energy, it cannot be created or destroyed, only morphed. You would be morphing the straw, giving it more holes by technicality. You would achieve the same result of adding holes as cutting the shirt or square in halves. You are splitting the colony into multiple colonies, therefore increasing the amount of holes. So Wright's straw example was correct, and it is also true that straws have one hole, so everybody is partly correct, and bendy straws keep their count of holes. Putting the bits of the straw back together would reform the colonies, theoretically decreasing the amount of holes in the straw. For a shape to have two different holes, there has to be a gap inbetween both colonies. One hole. Problem solved.
@@shannonhoward4792 I agree with what you said. I had trouble explaining my thoughts on this, but I can see that we have the same idea. I like to think that the object itself determines the number of holes. What I mean is that a t-shirt and a straw are totally different when it comes to determinating the amount of holes. The straw is seen as if it were connected to something on both ends, like if a shirt has a hole through the middle, it would be on both sides. If you look at its entirety, you can see that it has the purpose of transferring at a constant. An escalator does the same. It travels at a constant speed in a certain direction, going to a specific place. I'm quite bad at giving my thoughts, so forgive me.
uhhhhhhh does the handle count as a hole????????
These always feel like real discord convos betweem a group of friends and i love it
1:25 I always wondered if that would ever happen. One of the lawyers objects, iconic and epic Cornered theme plays...and they have nothing to say. You have fulfilled my expectations.
For the record, using phoenix’s logic, that shirt could have 12 holes, because each hole in the center of the shirt has 4 holes, since the front of the shirt has a hole, the back of the shirt has a hole, but the inside of the front side of the shirt is ALSO a hole, and so is the back-inside.
No, he’s saying it’s 2 holes and there’s a set boundary around the space between them? Idk
here's my take on how many holes there are:
OBJECTION!
All the holes are connected inside the shirt, hence it has...... 1 hole.
@@TheCreCre *HOLD IT*
Imagine a parasite trying to enter your body. It could go through only one way: Through your privates, nose, mouth, ears, maybe eyes if small enough.
According to Phoenix's logic, it would have infinite holes
i like how humble Godot is because he actually uses his mind and thinks through the answers that the rest gave out
0:44 be looking very suspicious.
0_o
sounding too
Guys why 💀
Im glad they noticed :)
If a hole is a hollow place in a solid body, then the number of e tranves is irrelecant to the number of holes. A straw has one hole. In fact, a straw with sealed entry points, and thus 0 entrances or exists, still has a hole, the hole is just inaccessible.
as a self proclaimed Topologist
my eyes and ears bleeding
2:08 I like how Edgeworth said one with confidence
The reason why when you cut a straw in half it makes 2 seperate holes, is because now they have 2 seperate entry and exit points. Before, they shared the same entry and exit point, making them a solid “hole”. However, if you take this new half of the straw and line it up perfectly with the other one, now you have one hole with a gap in the middle. And if you cut up the straw into infinite slices and place them next to each other, you have yourselves infinite holes, because they have infinite unique entry and exit points
0:28 Michael:vsauce,Michael here
Topology:Bye
Topology has left the chat
Micheal:A hole in a mathematical object is a topological structure which prevents the object from being continuously shrunk to a point.
5:13 Leibniz:HELP,this guy didn't listen
Leibniz left the chat.
It depends on how hot it is. The temperature tells how fast the molecules are moving in the straw. And, the moving molecules form empty spaces in between them. Those are holes. So, I would prob say around 50 quintillion XD
Saul killed me lmao
Since depth is required, but a bottom isn't, a straw has (or more accurately is) one hole with two openings.”
I'd say two. Think about it like this, one of them takes in fluid, the other puts out fluid. They are distinct enough to say there are 2.
I agree with Wright. If you cut a straw multiple times you can get more holes
Well when you put it that way...
But then it's not the same body, you are getting a system of bodies that isn't an equivalent as the original body (a straw on a table is not the same as a multiple ring fragments on a table)
@@reviandelumiel2833 Put it back together
But the logic doesnt work, when you cut a straw you DO get more holes but you also get more straws, just shorter ones and the question was how many holes in ONE straw
@@stickman207 If cutting a straw in half gave you a new straw, they would've only ever made one straw.
One that goes through the whole straw.
6
- saul goodman
it depends on how the straw was made
if they just punched a hole into the straw from one side, its one hole
if they did that form both sides, its 2 holes
I view things through practical real-life purposes only, not mathematical or philosophical. If there is ever a point where you can tell someone "No, don't put it through that hole, put it through the other hole." then it has two holes. So straws have two holes. The hole is the opening/exit and everything past the opening is a tube or tunnel until it reaches either an exit, such as another hole, or a deadend.
I dont know of any situation of why it would it ever matter which hole you use for a straw, but that isnt the point. The fact that that's even a question at all means it has two.
That's a good way to approach this
Fun fact: if you look at a normal clothes 👕 you will see 4 holes, so technically if i close the 2 holes where you put your arms in it will be technically have 2 holes because 4 - 2 = 2
Phoenix just invented calculus what a chad
4:02 to be fair he’s not wrong, if you use sticky tape and pull it off sometimes a layer of paper comes off technically being one thin hole so going through the whole paper leads to two holes
a straw is two holes and one tunnel 😎
"I'm her and I'm confused"
Yeah that's me in every video of this kind
Here's my take:
A doughnut has 1 hole, and so does a coffee mug, because we can start with a doughnut, and sculpt it into the shape of a mug, without introducing new holes.
Likewise, a straw is just a long doughnut; like a doughnut, it can be sculpted to become a coffee mug.
This assumes the definition of a Hole in topology, which states that a hole in a mathematical object (like a doughnut, more formally known as a torus) is a topological structure that prevents the object from being continuously shrunk to a point. With this definition, a Mug has a *pit*, which I define as a significantly large, concave depression in an object, like the ones used in cups and mugs to hold a liquid.
By the definition in topology, a mug, straw, and doughnut have 1 hole, and so do all the cases, except for the shirt which has 1 for the neck and torso, 1 for each arm, and 2 extra, making 4 holes, and as for the initially proposed question, Vsauce made a video about that, but to resume, at the scale of 60 microns, the human body has 7 holes, each being the tear ducts (2 in total), the GI tract, Nostrils, and both Eyesockets (2 in total).
What Phoenix presented was the simple observation that a circumference, with a radius equal to that of the cylindrical surface it exists on, can be drawn an infinite number of times, but since a circumference i a 1D line curved in a higher dimension, and since those circumferences are stacked in a cylinder, forming a 2D manifold, or 2D surface, the straw doesn't have an infinite number of holes, but only 1.
1:36 Edgeworth I will literally "Frankfurt am Main, Germany"
No, its straw length/planck length holes, as the planck Length is the smallest distance possible.
This answers the question "What does legal council do between cases" in ace attorney
One hole since for example you dig down in one way if you make the hole from 2 different sides then probably yeah 2 holes
let's just end this,
the amount of holes in a straw is
the amount of holes in a straw.
So wise 😔
that assumes that the amount of holes in a straw is defined and not NaN
I suppose it depends on how perceive the straw, like imagine instead of it just being a long hole, if you were to cut off a very small bit of the straw, you would most likely define it as a single hole. It’s hard to explain my thoughts without photographic aid. Maybe think of it like a tesseract, specifically how they describe one in a wrinkle in time
I think they were getting "hole" mixed up with "tunnel". After all, a hypothetical tunnel leading from one end of the Earth to another would be a single tunnel; and yet, it would have two entrances on either side, and therefore, two holes. A straw is a similar case; one single tunnel with an opening, or "hole", on either side. The ripped-up shirt would have four holes (unless you also count the sleeves, neck, or bottom); two on the front, and two on the back. The "tunnel" in this case, would be the inside of the shirt.
Although, now that I think about it... If you have a tunnel that branches off into multiple paths, each with their own opening to the outside, would that still be one singular tunnel? Or would it be multiple tunnels, all connected to one another? And if there's an actual room somewhere in there (Like a basement surrounded by hallways), would that room be another tunnel? Part of a tunnel? _Not a tunnel at all?_ And if the room *IS* considered part of a tunnel: If more than one tunnel connects to it, how do we go about deciding which tunnel it should be a part of? Unless we say half of the room is part of one tunnel, and the other half belongs to the other tunnel... Unless there's _three tunnels?_ What if they're all on the *SAME SIDE?* I- Uh.....
My head hurts... DX
I guess you could say... they had.. tunnel vision
How many holes does a doughnut have? One.
If we extend a donut vertically, we get a straw-like shape.
Therefore a straw has one hole.
The I want what wright’s smoking killed me😂
The answer is both depending on perception a hole naturally has 2 points of entry and or exit but as a constant its 1.
6:10
Technically it could have between 3 (the two in the front and the neck one) and infinite, but if its not messed up its 6 or 7
Technically it depends on wether you call the holes the number of entrances or go strictly by the definition, but a hollow piece with multiple interconecting entrances still has a singular hole.
Here's the thing about Wright's idea of cutting the straw:
1: then it is no longer one straw, rather two smaller straws that each are half of the size of the origional.
2: the prompt specifically says: how many holes are in A (singular) straw
Humans have a constantly changing number of holes, pores for example
a straw has three holes, one from the south, one from the north and the one thats in the poor person i stabbed with a straw.
This hurts my brain and I’m all for it
Its 1. Of you have an object with 2 holes and change its shape it will still have two holes, if you change a straw into a disk (imagine pulling a side apart on one end) it turns into a disk with a single hole.
The same way a balloon doesnt have a hole at all.
They have one, it goes through the entire straw
straws are hollowed cylinders, nuff said
Godot was neutral ground till like halfway and then made up his mind
This video made me question everything in life..
The last couple seconds is me for no reason
not the attorney badge at the end XD
Love how phoenix wants to show his badge as evidence lmao
4:57 These are just differences in elevation. Since it's the same object and none of those are enterences or exits they don't count here. Or do you want to couldn't every submolecular gap? Because that still isn't infinite, it's high, yet finite. And a spring doesn't really have any holes since it's a coiled metal string essentially.
Topologically speaking, a straw and coffee mug have 1 hole along with a donut, the shirt would have 4 holes.
Defining a hole as an entrance/exit, a straw has 2 holes, a coffee mug 3, and the shirt 8.
Defining by feel, straw has 2, donut 1, mug 2, and shirt 6.
There is one point in wich nothing can cut the straw
when it becomes atomic
if you cut it you'll be cutting atoms
so basically it explodes
A hole needs to have a bottom for it to be a hole if not it’s a tunnel that’s what straws are a tunnel for liquid to pass through for easier drinking
bro i got 4 minutes in and starting thinking "wheres the judge"
After my calculus class, in which we evaluated solids of a certain cross section along a path, I think Phoenix is right…it’s integration, so “infinite” cross-sections (infinitely small, actually), which translates to infinite holes. I don’t really like it but I think it’s true.
I'm pretty sure that would only be the case if he actually cut the straw, the same way that something's state is defined as what it now, rather than what it could be if you cut it into infinite pieces. Otherwise, you could cut infinite holes from any object that exists, and thus any object taking up any space would have infinite holes, even if it were, say, a sphere.
Karma, von Karma, Edgeworth, and Godot overdo and they also get outsmarted by Pheonix most of the times. They also wont let Pheonix talk sometimes. Pheonix is my favorite character because he can outsmart people. The shirt had 8 holes not 6 holes.
I think if it has an entrance but no exit, its more of a hole, while if it has an entrance and an exit, its a tunnel. So a straw is a long but small tunnel.
i would say if there is no hollow area / inside to speak of, its one hole through an object. if there IS an inside, that hollow area would have two holes connecting it to the outside.
How about we ask how many times a staw can be cut before it becomes smaller than atoms
So is no one going to mention Saul being here?
An yes the good old argument between topology and everyday definitions
Calculus actually…
@@FrostDeino and that, too, apparently
more so towards the end with wright, really
a straw is a long, thin donut shaped object, and donuts have one hole
we’re all wrong, phoenix pulled out the attorney badge..
*we’re screwed..*
Easy way: there are two openings. There is one whole hole that they both lead into and out of
my theory: say you dig through earth, that wouldn't be a hole but a tunnel because you can enter and leave from different places but if you dig a hole in the ground you cant enter and leave from some other side, only the same hole you dug - so a straw has zero holes and one tunnel going through it
*OBJECTION*
So if 1+1=2, does that mean there are no 1s in 2?
Topologically speaking, a straw is the same as a donut, so it has one hole.
Technically 1 because they are connected if you count them individually, you will get 2
I might actually be with Phoenix on this one
Can’t believe Von Karma just doxxed Edgeworth like that 😭
Let me explain the paper analogy, there are 2 theoretical sides, a hole on each, but when you split the thing paper there becomes holes no both, creating 4 holes, due to his analogy this would/could go on forever and, in turn be infinite holes.
a hole is a part of an object that is hollow, and has a start or end. the shape doesn't matter, nor the curvature. there are many types of holes, but "straw holes" are "connected". other holes are just pits. holes in clothes (if on both sides) are not "connected", and therefore are 2 sepperate holes.
(how did I write that on a phone by myself without misspelling anything?)
Between atoms or something it has holes in between em so i guess a lot
Straws have one hole, and no one can tell me otherwise.
Topologically, a mug has one hole. It's in the handle.
To answer Manfred’s initial question, we have about 5,000,007 holes. 5,000,010 if you count eye sockets and belly button.