The short answer for why we know what we know in Chemistry is that (for science in general) we do experiments that can test and disprove our ideas. This is what distinguishes it from other studies of thought which do not require that the conclusions be testable. For example, this statement "Our world also requires language and symbolism to function" may or may not be true. You can't test it. I can just as easily say that humans survived and functioned before they were able to develop languages, and cite fossil records that predate the early alphabets created by the early societies. Then you can counter by saying that maybe they did know language, but we just have no record of it. Then I can counter by saying non-human animals like bees can form functional societies without language so by analogy we should as well, and on it goes etc. etc. Who really knows the answer. Neither one of us can test any of this.
In contrast, if you stick an electric current through water you can isolate two gases that are always in the proportion of 8 parts of 1 gas to one part of another by weight. If someone comes up with an idea of "no no, it should be 5 parts to 1 by weight!", well, we can safely say he is wrong because when we do the measurements over and over again we always get 8 parts of one to one part of the other by weight. So THEN we try to come up with ideas where we end up with 8 parts to one by weight. A bunch of ideas come out and then we do some other experiment where we get some other result and we check the new theories against that result. Some of these theories work with the new experiment, but others don't and get thrown out, and so it goes with more and more experiments until we narrow in on the answer. That's how science arrived at its more useful conclusions. If you are really interested in how we know what a molecule is, I recommend reading Issac Asimov's "A short history of chemistry". It will walk you slowly and gracefully (it is perfect for non-scientists) through those trials and errors so that you get a great feel for how we arrived at the conclusions (but quality doesn't come cheap, this book is still $80 on Amazon...).