But more importantly, calling any indentation a “hole” is a case of specifically ignoring the special significance of actual holes. You can’t pass through an indentation.
If you were to tell an average English speaker that you were going to dig an indentation, chances are high that they would misinterpret your meaning.
On the other hand, if you told them that you were going to dig a “blind hole,” I imagine they would have a much better understanding of your meaning and you would still be technically correct.
That’s why we have the compound word “through-hole”.
90% of important parts on living things are pockets and manipulations of surface area, two things completely ignored by topology. Topology is interesting mathematically, and has meaning for traversal and knot problems, but it’s not really useful to describe reality.
You seem to not be getting that words can have multiple (even if related) meanings. When some science or other discipline takes a common word and defines it really precisely for their purposes, that doesn’t change the definition of the common word for all usages and mandate that all lay people use it only with that discipline’s more precise definition.
You could make infinite indentations in an object with zero holes. That’s a very poor definition for a hope topologically.
I’ll give it a try and get back to you
And yet each indentation could hold something, like cheese or a kitten, so each indentation in functionally different from a smooth surface.
Deforming a shape changes it, thus topology is a special case of specifically ignoring most aspects of a shape.
But more importantly, calling any indentation a “hole” is a case of specifically ignoring the special significance of actual holes. You can’t pass through an indentation.
Guess I can’t dig holes either
Sure you can, they just gotta come out the other side. Otherwise it’s just a fancy divot
ill put a fancy divot in yah dome wit my 9 millie brah
Watch out, we got a badass over here
please dont be mean I was trying to be gangsta ok
im white and in my 40s
Me, too, which is why I don’t say silly things like that
There’s a Weird Al song about you. Or three.
If you were to tell an average English speaker that you were going to dig an indentation, chances are high that they would misinterpret your meaning.
On the other hand, if you told them that you were going to dig a “blind hole,” I imagine they would have a much better understanding of your meaning and you would still be technically correct.
That’s part of why I try not to talk to average English speakers
Haha fair enough
That’s why we have the compound word “through-hole”.
90% of important parts on living things are pockets and manipulations of surface area, two things completely ignored by topology. Topology is interesting mathematically, and has meaning for traversal and knot problems, but it’s not really useful to describe reality.
That’s why we have a diverse set of words such as “divot,” “indentation,” “pit,” “well,” and so much more!
Topology is a component of the language called “mathematics” we use to understand, describe, and model reality in concrete terms.
Topology is immensely useful to describe reality.
But it’s a good definition if you are, say, putting a thing into each indentation. That’s why the two definitions are different.
Right, those wouldn’t be holes.
You seem to not be getting that words can have multiple (even if related) meanings. When some science or other discipline takes a common word and defines it really precisely for their purposes, that doesn’t change the definition of the common word for all usages and mandate that all lay people use it only with that discipline’s more precise definition.