I plus thee for humor! That's what I thot. Now how many of these makes up a one inch line?

How big is an "inch" again? I'm stuck in the 21st century over here. We haven't used inches since before my parents were born.

More seriously, why would I try to make up a one inch line out of dimensionless points? That sounds difficult and doesn't seem to prove anything.

Depends how far apart you space them. In a black hole, you could crunch up all the particles in existence into the same space, and you still wouldn't be any closer to spanning the length of an inch.

We might not be able to visualize this, but our brains developed to help us operate on a scale where things actually do behave as if they were all made of substantial lumps of stuff which take up space and two things can't be in the same space because the space is filled. That's the sort of thing our brains evolved to deal with, so whether or not reality really works like that at the most fundamental level, we should expect ourselves to be bad at envisioning things that don't work like that. For a rather long time, scientists thought that reality was like that all the way down. But then when we developed the technology to do experiments which actually probe what's going on at that level, we started finding that reality simply doesn't work that way. You can try and envision matter as being made of tiny little lumps of stuff bopping around, but if you do, you will unavoidably end up drawing conclusions that contradict what we find is actually going on.

"I can't get a picture of this in my head" is not a rebuttal of a physical theory, because there's no reason that our heads must actually be equipped to create pictures of how the fundamental level of reality works.

One can't really "explain" a particle. I would say, however, that if you cannot show the shape of the particle (how it occupies space), it is somewhat questionable to call it a "particle" in any classical sense that I'm familiar with.

No, not exactly like that, as I just explained in my last post. However, I have some paradigms that have allowed me to successfully cut through a lot of BS. If I discover they do not apply to mathematical physics, then I won't waste any more of your or my time, that you can "count" on.

No, you're not making too much sense for someone who's profoundly ignorant, you're making too little sense for someone who knows what you seem to know. It's possible that you've actually gone out of your way to pick up all these words and pass phrases without having any idea what they mean, and that's exactly what you're acting like, but I don't buy it.

I don't want to continue a discussion with you if I think you're willfully refusing to understand, but I like this analogy, so I'm going to toss it out and if by some chance you're not faking and it actually helps, it'll give us something to work with.

A person who is born blind and grows up that way does not have the neurological faculties to process an image and take information from it the way we do. A blind person may have a concept of "sphere" or "cube," and know what they will feel if they run their hands over one, but if a person who'd grown up blind were given functional eyes and looked at a sphere, they would not be able to tell you in advance that by running their hands over it they should feel a smooth surface that curves uniformly in on itself. This was an issue which was debated for some time by philosophers, but eventually we developed the medical technology to actually give eyesight to some people who'd grown up without it, and it stopped being just a matter of "logical argument," and became something we could go out and actually check.

If you were to take a person who'd grown up blind, and try to explain the concept of looking like things to them, it would be incomprehensible to them. Generally, blind people take it for granted that sight is a real phenomenon that they're missing out on, because civilization around them runs on it in such a way that it wouldn't make much sense if all the sighted people were just making it up. You could describe the mechanics of sight to a blind person, but they will not be able to conceive of the idea of "getting a picture in your head" the way we do. If a blind person told you "Don't mess around with math and diagrams (which I can't see anyway, so fuck you,) just give me an explanation of this whole "picture in your head" thing which you say lets you tell what shape something is without touching it," no matter how you explained it, you wouldn't be able to get them to understand sight like we do. It's not that there's something wrong with our models of how sight works, the problem is in the brain of the person who's never developed a capacity to deal with vision.

Similarly, our brains don't have the capacity to picture what's going on on the scale of fundamental particles. There's no reason why they should. Like blind people dealing with sight, we can explain what's actually going on, but it's never going to make intuitive sense to us. Can't visualize a zero dimensional particle? Well, who says fundamental particles have to have size? Who says there can't be any real thing which doesn't take up space, so you can pack any number of them together without ever getting a bunch an inch across? Who says that you can't really tell what shape something is until you run your hands over it?

If a blind person, unable to comprehend sight, decides that sight doesn't exist, there will be things in the world around them that just don't make sense to them. Similarly, there are physical theories which we can't picture, but we can tell that the world around us makes a lot more sense if they're true than if they're not.