It's a very flawed theory. So much so that it can't accurately predict many observable phenomena.

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the measurements have been accurate. Mathematics is not a science that makes mistakes.

Mathematics is a language. All human language is both incomplete and unable to be complete. Therefore, it is not perfect and will never be.

Truth, but it only needs to be more complete than our abilities to measure and hypothesise about the physical world.

Maths has been winning handily since Newton's day.

Rather humiliating really...

Sure. But even then, it took hundreds of years to be ubiquitous enough for high school students to be taught it with any appreciable use. I'm very unsure if the math that's at the current fringes will ever reach that level of ubiquity.

Do you think the pyramids were made by dragging blocks of stone?

The method is not so much of interest as the functions. They could have been dragged and placed. They could have been floated via sonic manipulation. They could have been popped out of a giant vessel whole. I honestly don't care so much about that.

Is this a reference to Kurt Gödel’s Incompleteness Theorems?

Tangentially, but not specifically.

Pick something. Anything, really. Any thing. A orange.

Using any language you like, describe it, in totality.

You can't. This is the finiteness of our understanding which limits our ability to just describe things, and, that isn't even enough to give a "complete" description since you would only be describing the thing and not it's place in the universe, how it grew, the history of the genetics that caused it to grow the way it did, how the matter from which it was grown was assembled, and even how the matter from which it is composed came to be in the first place, and I don't mean in the general, hand-wavey "we're all stardust" blech kind of explaination, but with exacting specificity down to the most transient sub-atomic particles that build the thing.

None of this matters to most people, but, very thing, every human, every instance is quite miraculous because of everything, and I mean literally everything, that had to go exactly as it did to lead us all to the point where we can have this conversion on various devices in widely different locations practically in real time.

That is why everything you do matters. That is why everything that has been done matters. That is why you matter. You are infinitely important even if you are only an infinitesimally small part of what we can observe the universe to be.

I think as simultaneously what makes it what it is ,is that simply although incomplete ,we can add to it the newly discovered and toss away what doesnt no longer serve it purpose.

Yes. That's how all learning should work, I think.