Can we settle this: how many holes does a straw have?
At work we somehow landed on the topic of how many holes a human has, which then evolved into a heated discussion on the classic question of how many holes does a straw have.
I think it's two, but some people are convinced that it's one, which I just don't understand. What are your thoughts?
1 'hole' if you can call it that. Imagine if the straw started life as a solid cylinder and you had to bore out the inside to turn it into a straw: if that were the case, you would drill 1 hole all the way through it.
Another analogy is a donut. Would you agree that a donut has just 1 hole? I would say yes. Now stretch that donut vertically untill you have a giant cylinder with a hole in the middle. That's basically now just a straw. The fact you stretched it doesn't increase the number of holes it has.
Imagine if the straw started life as a solid cylinder and you had to bore out the inside to turn it into a straw
This would mean a straw has a hole, yes. It would be like a donut indeed - donuts are first whole, then have the hole punched out of them. This meets a dictionary definition of a hole (a perforation). A subtractive process has removed an area, leaving a hole.
But straws aren't manufactured this way, their solid bits are additively formed around the empty area. I personally don't think this meets the definition.
Your topological argument is strong though - both a donut and straw share the same topological feature, but when we use these math abstractions, things can be a bit weird. For instance, a hollow torus (imagine a creme-filled donut that has not yet had its shell penetrated to fill it) has two holes. One might not expect this since it looks like it still only obviously has one, but the "inner torus" consisting of negative space (that represents the hollow) is itself a valid topological hole as well.
But straws aren't manufactured this way, their solid bits are additively formed around the empty area. I personally don't think this meets the definition.”
By this logic, how I make a doughnut changes whether it has a hole.
If I make a long string of dough and then connect the ends together and cook it (a forming process) it doesn’t have a hole.
If I cut a hole in a dough disc and then cook (a perforation) it has a hole. Even though the final result is identical?
On the matter of the doughnut: If you make them at home, you're almost always just rolling a cylinder and then making it a circle. I have never actually punched a hole out of a doughnut. That would mess up the toroidal shape.
But here's the thing. Take that doughnut and stretch it until it's a cube with two square cutouts in it. Stretch in some of the inner walls. Now you have a house, with a door and a window. Now: does the house have two holes - a door and a window - or does it have one hole?
Locally has two extrinsic holes, that is holes relative to things outside and inside the house, globally has one intrinsic hole.
We say that the door is a hole respect to the wall no to the house itself. So both the door and the window are holes locally.
But we never say the house has holes, we talk about walls and ceilings so globally that house has 1 hole.
Another way of thinking it is that if the house can be deformed into a filled doughnut then it can be compressed to a circle and that's the definition of a 1-hole.
So as you begin to bore, that is one hole. But when you go through the other side, you have in fact made two holes. I think a donut can actually be thought of either as one hole or two holes, or more correctly; two holes that are the same hole.
Back to the straw; if you make another hole in the side of the straw half way up, would it still have one hole? Or two holes? Or three holes?
A bit like thinking of the human digestive tract, most of us would agree that your mouth is a different hole to your anus, but we agree that they are in two ends of the same system
No, topologically there would be no holes until the moment of contact. This is the same as there being no hole when drilling through from only one side until the surface on the opposing side is broken.
That doesn't change the topology though. Or at least you can't without it no longer being a straw.
A straw is the product of a circle and an interval. Either the knot doesn't fully seal the interval, meaning it's topology is maintained, or you completely seal the straw, changing it from 1 long interval to 2 separate intervals, changing the object entirely.
In this situation, the straw would not be completely sealed. It is clearly inefficient, but technically there exists a path for which there is a level of force that could applied that would make the straw function.
Yeah, that's a concept that gets covered extensively in anatomy, immunology, and microbiology. It's called "the donut model". This is not a joke. It clearly shows how your digestive system is exposed to the outside world, similar to skin. You can obviously see why this is important immunologically, since germs can just get into the mouth/butthole in a way that they can't penetrate skin.
I understand geometrically they have the same number of holes but in my head straws still have two holes because they have an "inside" so both entrances to the inside have to be a hole.
Topologically a rubber band, a donut, and a straw have the same number of holes. The hole at either end of the straw is just a continuation of the same one hole.
I assume that's how OP's debate of how many holes a human had ended up being about straws: someone argued that the mouth and the anus are just one hole
Take that cylinder and stretch it until it's a cube with two square cutouts in it. Stretch in some of the inner walls. Now you have a house, with a door and a window. Now: does the house have two holes - a door and a window - or does it have one hole?
A straw's "in" and "out" are completely arbitrary. You can flip a straw either way and it'd still work.
Anything with a hole through it that isn't perfectly 2D could have a "in" and "out" side. Your rubber band your doughnut only don't have one because nobody ever thought to define one.
I completely agree. That’s what I’m saying. Topologically if you dig into the earth with a shovel, it hasn’t changed at all; there is no hole, but connotatively there clearly is.
Mathematically It's one. Think of a disk, like a CD, does it have one hole or two? One, right? Now imagine you can make it thicker, I.e. increase the height, and then reduce the outer radius... Making it progressively more straw-like. At what point does it stop having 1 hole and begin to have 2?
Topologically they're the same shape.
I'm sure Matt Parker has a video on this topic in YouTube. Here
Just copying my response to another comment asking the same:
That doesn't change the topology though. Or at least you can't without it no longer being a straw.
A straw is the product of a circle and an interval. Either the knot doesn't fully seal the interval, meaning it's topology is maintained, or you completely seal the straw, changing it from 1 long interval to 2 separate intervals, changing the object entirely.
In this situation, the straw would not be completely sealed. It is clearly inefficient, but technically there exists a path for which there is a level of force that could applied that would make the straw function.
A straw is geometrically the same as a circular piece of paper with a z depth of zero and a hole in the middle. Because the z depth is zero there is only one hole. As you add thickness the one hole remains. Therefore, a straw has one hole.
If you drill a hole in a block of wood you create one hole not two, note that whether or not the drill exits the opposite side, only one hole has been created despite differing numbers of exits.
I think its more or less the same, spacially. I think the distinction breaks down more with like a wiffleball, which I'd argue is one hole with many exits.
The answer depends on the context. Topologically, it's one. I personally like zero. If I say "There's a hole in my straw!" You'll not think all straws have holes. You'll think there's something wrong with it.
If you say "There's a hole in my straw" I think it's always implied you're talking about an unexpected hole. You can also say "There's a hole in my sweater/pasta strainer/etc" and people would get you're talking about a hole that is not supposed to be there. Straws are the same. They have one hole and you'd be unhappy if another appeared.
I was also thinking zero. I picture a straw as a rectangular piece of material that's been curled to form a cylinder, and in my mind that rectangle has no holes in it. I was confused when I saw that the options were only one or two.
That's the gist of practically all philosophical thought experiments.
When is a heap of sand no longer a heap? I dunno, define "heap" and there's your answer. It's not going to be a useful answer though because the rest of the world doesn't define the word with enough precision for the question to be meaningful in the first place. There is no authority on Earth that can do that. You can define the problem in precise mathematical terms but then it will NOT be the same thing as a plain-English "heap" and you'd be pulling a fast one if you acted like it was.
To settle this argument could you clarify if we're supposed to be considering the straw as a solid 3D object with a thickness, or as a curved 2D surface? The answer kind of depends on which you pick.
A hollow cylinder has a single hole, with two openings. A hole can be open on one end only (e.g., a well is a hole in the ground), or it can have multiple openings (e.g., a straw has a hole with two openings).
If one cannot immediately tell whether two openings are connected to one another, then one assumes they are not; e.g., if you see a well in Florida you don't assume it is the opening of a hole that extends to connect to another opening in Australia.
Well, depends what you call a hole. Does a glass have a hole? Does a bottle have a hole?
If you said no to both, you mean a topological hole and a straw has one.
If you said yes to one or both of them, you mean a tight opening in which someting can be inserted (yes yes, innuendo). How tight an opening must be to be a hole is arbitrary and subjective, it depends on the person. In this case a straw has two holes.
Continuing on the innuendo: topologically a vagina is not a hole, but a butthole is.
You could argue that a hole is an entrance to a wider space. A door or window is a hole to a room. If you want to know the number of holes in a room, you would at least have to include all the doors and windows.
In this sense, the straw doesn't have a hole at all.
as vsauce said "At small enough scales, 'How many holes does [an object] have?' becomes a meaningless question. Ultimately, [the object] isn't a solid thing that could even have holes. It's just a loose constellation of atoms and molecules."
One common definition of a hole defines a hole specifically as the opening. If the definition applies only to the opening, this implies that the hole exists on a 2-dimensional plane. Despite the fact that the openings are connected along a tunnel, we don't care about the structure of a hole beyond the 'opening', we can ignore everything else. If we continue on that path, there are 2 visible holes on a straw.
One.
Imagine a cube of steel.
Now you take a drill and you drill an hole into this cube. Now you saw around that hole so it has a wall thickness of 1mm. Now you have a straw made out of steel and you’ve drilled only one hole.
I thought one hole intuitively, then I started thinking... what about those y shaped straws or medical hoses that split.... one hole? Two holes? Three?
A hole is an opening on (something), and a TUNNEL is an end that leads to a hole that leads to another hole and to another end. Therefore, it has zero holes, but one (very small) tunnel.
A tunnel is also just a hole. A long tunnel is clearly a tunnel (through a mountain, for instance).
How short does the tunnel need to be, to no longer be called a tunnel?
20 meters is a tunnel.
5 meters is a passage.
1 meter is an arch.
5 centimeters is more like a doorframe?
5 millimeters is definitely a hole.
0.1 millimeter is a hole (like in a paper in a binder).
That is like saying that the sky is just a bunch of colors. Or that an orange is a football. What you are missing here that most things can be COMPOSED (!) of (various) other things...
...unless you will reply with this with something like "That's right! We are just a ball of flesh!". Then eh.... *shrug
Your definition list was on point tho, I give you that.
A regular straw has zero holes. The central cavity, through which beverages flow, is not part of the straw, and hence it's endpoints are not holes in the straw.
But they are present where you'd expect the material of the object. No one expects a straw to be a solid cylinder, ergo, the central cavity is not a hole.
None. Colloquially, we use "hole" in all kinds of weird ways. As others have pointed out, topologically a straw is no different to a torus (donut) that clearly has one "hole"... but I'd like to focus instead on the linguistic definition of "hole", not the colloquial or mathematic definitions.
A hole can either mean:
a perforation ("a hole in my shirt", "a bullet hole", etc) - which is, specifically, "a hole or pattern made by or as if by piercing or boring"
a gap ("a hole in your reasoning", "a hole in my heart", etc)
a hollowed out or burrowed place ("a hole in the road", "a fox hole", etc)
i think we're not talking about 2. It seems to require some larger uniform structure or set of items in which an item is missing. 1 and 3 seem really similar to me: both seem to require some active removal of matter to qualify. All of these definitions point towards a subtractive process, where something of a larger whole (heh) is removed or absent.
Most straws, I'll venture a guess, are not manufactured solid and then bored out.. so I don't think it applies here. So I don't think a straw matches a fitting definition of "hole". A straw is created additively by assembling the "shell" by some means, not subtractively. Donuts, by comparison, had holes punched in them. A subtractive operation. Rubber bands have not had holes punched in them... they're additive. Not holes.
Similarly (because I see a lot of talk about buttholes and mouths here too), your esophagus and digestive tract (and veins and all kinds of other things) were formed in a similar additive manner, not by forming a mass of meat and boring through the passage, and thus would similarly not qualify as "holes" (in my opinion).
I'm seeing a lot of this kind of taxonomical argument relying on material being removed, but it's not convincing. A taxonomical argument that relies on commonly accepted definitions, but does not include commonly accepted examples, is logically flawed.
It's normal, accepted usage to describe your anus and so forth as holes, despite no material having been removed.
Similarly, it's normal to describe Cheerios as having holes in the middle, or bagels as having holes in the middle, or a pool noodle as having a hole through it, or any number of similar things that are formed without any material being removed. It extends to the metaphysical, in fact; one can have a hole in their logic, for instance, without the implications that their logic must once have contained this item, until it was somehow removed.
A hole is an entirely contained negative space; I don't think it requires anything to have been removed.
The answer will depend on what specifically is meant by "hole." Since there is no additional context to convey a specific meaning, the question cannot be legitimately answered.
In this context, "define" means to provide a specific meaning assigned to a word - to clarify exactly what it is that one intends to communicate when one uses that word.
Is a pipe a hole? No. We call the cylinder a pipe. A straw is a cylindrical tube. Tubes, pipes, hoses, and straws are cylindrical and hollow.
It's unconventional to call the hollow space a hole, but as others have pointed out, a donut has one hole and if extruded, would continue to have one hole and resemble a cylinder.
As donut is not a hole. It has a hole, but it is not one. Squash a straw vertically and you have a plastic donut with one hole. The straw is the plastic part, not the hole.
What about a tank that has one input and one output hole, technically much like a straw? This is why I call the edges of a straw a hole, so straw has two holes.
Or, what about drinking straws with more than one succy pipe?
I think this depends on the semantic basis one uses for "hole".
1 hole: One might say there is a single hole in a straw. The logic there is that the straw is a cylinder, so the inner surface at the top is a part of the same surface at the bottom. In that sense, a hole itself is a kind of cylinder with a single connected surface. But this could be taken as problematic, since the same argument means that the straw itself is a hole, or at least that it is made up entirely of the exact same things a hole must have, and nothing else.
2 holes: Where that fails is if one instead assumes the more abstract sense of "hole". Consider the straw as a vessel with a volume -- with both ends plugged, it holds a substance. One can unplug either end and argue that it is a hole since the substance within is now open to the outside by way of that hole. In that sense, there are two abstract holes in a straw (abstract because the connection between both holes is ignored -- neither hole is taken to have any depth -- and each hole is an absence of material). Of course, due to physics, unplugging one end of the straw does not release the substance within if the other end is still plugged, but that holds no consequences for the logic of hole-as-absence-of-material.
0 holes: The argument could go further. One could try and solve this by considering other objects and how we think about "hole" in those contexts.
How many holes are in a bucket? If it's a perfectly undamaged bucket, people would likely be arguing between two different values: in one sense, the bucket has a single hole, because there is an opening at the top. However, using the same logic that straws have a single hole, the bucket in fact is made of its hole, and it seems silly to say the bucket itself is a hole.
If one goes with hole-as-absence-of-material, then there's a single hole in an undamaged bucket, but the bucket isn't made up of hole.
Further still, one might argue instead that an undamaged bucket has no holes. Why? Because a liquid in such a bucket will not leak out of anywhere. The bucket is effectively a round piece of material formed into a shape, and that material itself contains no holes in an undamaged bucket.
Using that logic with the straw, an undamaged straw might actually be claimed to have no holes -- but how? We've all likely used a straw that was bent or damaged and is less useful as a straw because pressure escapes from somewhere between the ends. Such a straw could be said to have a hole in it. There, "hole" has some aspect of brokenness being taken as part of its meaning. If the pressure-vessel part of the straw functions correctly, then it has no holes.
In popular culture: Consider the following lyric from Funkadelic: "What is a pipe but a pole with a hole in it? A pole is a pipe with no hole in it."
There, the band has clearly relied on the 1-hole analysis of a pipe (taken to be relevant to the straw discussion since it seems uncontroversial to claim that a straw is a small pipe). Had they said "no holes in it", the suggestion would have been that the band agrees with the abstract hole-as-absence-of-material sense. Similarly, it does not appear that the band thinks there are no holes in a pipe; in fact, that would be directly contradictory to their statement. But no logic is given directly for that choice in the song; one must extrapolate their position by context.
tl;dr
A straw could be taken to have 0, 1, or 2 holes in it depending on the semantic sense of "hole" one selects. I need to think about this more like I need a hole in the head, but I also don't know how many of those I have.
If you are going topologically the answer is one, just like a donut.
Personally I like to think of a straw as a hollow cylinder of plastic, in which case the "hole" in the center is just space the cylinder doesn't occupy and not actually a hole, so zero.