There could be different patterns that solve the same problem. Just as you can have different algorithms, there could be different weights, but the abstracted result or logic from those weights would be the same. Take these words I'm writing now, they will be transformed into numbers, then sent to your screen, and then your brain will transform them into analog signals. I bet the neural networks in our brains have "different numbers", but the algorithms that understand language and other concepts are similar and could be universal.

It's like a sorting algorithm, which I can implement in many different ways in just a few dozen lines. If you look at the binary code (so like raw weights) of the compiled program, you will see just a bunch of a different numbers, but if you read the code, in most cases you will understand that it's a sorting algorithm. So it seems they just operate on different levels of abstraction that are not available to our brains.