Meaning isn't defined in the brain, though it may effect and be effected by the contents of the brain.
Tracking the meanings of words over history shows some words stand still (rock, tree, bird), some words gain new meanings and lose older meanings, and some words change the underlying meaning entirely (silly, nice).
These words appear somewhere in history for a first time and are then repeated and modified over the centuries. Meaning-making of words is a cognitive, social and structural process that exists across society as a whole.
The key part is that they are never "proven", merely shown to exist and in use by people. Proving the meaning of a word, is to treat meaning like a science. Meaning cannot be reduced into the scientific process. It grows and changes organically, just as much as everything else does.
Got to say, I miss superhuman computing progress. Chess engines completely destroying chess players, even the world champions, was exciting. A human-equal chatGPT robot is marvelous and a huge step forward. But not "superhuman exciting"....