Can you draw a dimensionless particle for me please?

All drawings that we do are abstractions. They represent something from a reality (fictional or allegedly actual) but they are never the same as the actual thing - they just represent it. Mathematics does much the same thing - just better.

I can't draw an electron. In fact, nobody can really draw any sort of fundamental particle. They don't look like anything. This might seem like a cop out, or a way to handwave away the fact that we don't know what they look like, but it's not. On the scale that fundamental particles exist on, the mechanisms which give rise to the phenomenon we experience as "looking like something" don't exist. An electron cannot look like anything.

I can understand something and still tell you that it makes no sense. Do you understand that? I can also regurgitate the definition of phase angles that I memorized in 1978, does that mean I understand it?

No, it doesn't.

If you insist that you understand what scientists mean when they call matter wavelike and particlelike, why don't you try explaining it? That much, I do understand, well enough that I can explain what it means I should observe regarding matter on the particle scale and what I should not, and I will be able to tell if your explanation is correct.

I also can't explain directionless arrows, because to the best of my understanding, Eliezer isn't actually talking about directionless arrows at any point. If he is, my understanding of this post is wrong. What he does talk about are arrows, figurative entities which indicate both what direction from the origin something is pointing and how far away from it is is (I'm not even going to try explaining what the origin in this context is and what it means to move away from it, not because I don't understand it, but because it would take way more time and effort than I'm willing to put in right now to make it comprehensible to you,) but although the arrows point in a specific direction, we can't tell which direction it is. Imagine an actual, physical arrow affixed to a pole in the ground, and the arrow is pointing either north or south. Imagine also that we have no way of knowing which way is north or south, we have no compass, the sky is overcast, we have no landmarks to orient by, etcetera. We do not know whether the arrow is pointing north or south, but we can still measure how long it is.

This is not a perfect analogy, but if you think of it this way you'll have a better idea of what Eliezer was talking about if you just think "directionless arrows = nonsense."

It is not about weather or not I like that QM makes "correct predictions" because reality is not about 'predictions." Is it up for vote? It is not about mountains of experimental evidence in favor of QM., because evidence is opinion based on fallible human observations (5 senses). Nature does not ask for anyone's opinion.

Tell me something: Is "Monkeymind" intended to be an avatar account, along the lines of "Clippy". If so you have absolutely nailed it. You have role played the mind of the human mind (with its monkey-kinship) as it grapples with understanding physics at a level that is beyond its usual scope of practical optimisation and you have done so perfectly. I just can't tell whether you meant it that way or not.

It is not about weather or not I like that QM makes "correct predictions" because reality is not about 'predictions."

I strongly recommend that you find a physicist and say this to them. They will almost certainly disagree, because making successful predictions is what science is all about. Theories explain, yes, but they do so by offering a mechanism or creating a model for how something works, and the only way to tell if that model is correct is by seeing if it can accurately predict reality. To invent an accurate post hoc explanation if you need the ability to test its validity, and the only way to do that is to see what advance predictions it makes and test those. This is, of course, the reason scientists perform experiments.

The rule based language of math only describes, it has no explanatory value at all!

Again, I strongly recommend you speak to a physicist about this, because it just isn't true. In the meantime, take a look at this LW post, which is a clear example of how a mathematical theory of physics, in this case Newtonian physics, can make predictions.

Give me a hypothesis of what object mediates the phenomena of light and then your theory can explain refraction, reflection, diffraction, dble slit and half silver mirror experiments.

This is my hypothesis. The things it deals with aren't "objects" in the way the word "objects" is usually used, because the term generally refers to things made up of more than one atom, and QM describes things at a much lower level. However, QM does helpfully provide precise mathematical rules for how these sub-atomic things behave, some of which are outlined in the original post. We know that this explanation is true, at least to a certain degree of approximation, because of its experimental success at predicting some of the things you listed (double slit experiments, etc.). You can talk all you want about how much this doesn't "make sense," but the fact remains, the mathematical model outlined in QM is extremely good at predicting reality, which strongly suggests that it really does describe what's really true.

I'm actually not sure if you want me to define 'point' as in 'zero-dimensional particle' or point as in 'what do you mean.'

Nature could care less about mathematical constructs or models.

Nature could care less about whether you can intuitively understand it, too.