People have been wrestling with things like the definition and meaning of, say, art for thousands of years, and there are many different definitions and views, so when you say that it could be better, what are you actually referring to?
Why don't you try one of your grammatical terms, but I would warn you in advance that you may find that people disagree with you. When people come here with theories that they think are radical breakthroughs, they are often expecting everyone to see things the same way instantly.
To start, I question the logic behind this:
Words don't automatically behave like numbers, so this a false analogy. Word 1 + word 2 could equal many things, so I would say that this formula is not a simple truth, and I can see why people don't listen to it. Words don't always go in neat pairs to add up to create a unit of meaning.1+2=3!=1 or rather word1+word2 = word3 != word1
a + man = word 3
Really? What's word 3?