Thanks for the response, I asked it out of genuine interest in how we discover new ideas, sometimes ignore or are unable to see their importance, adopt them and

Thanks for the response, I asked it out of genuine interest in how we discover new ideas, sometimes ignore or are unable to see their importance, adopt them and then share them. Even forget those ideas and perhaps have to re-discover them later. I personally empathize with the stuff you listed. In particular, I had trouble accepting at first why matrix multiplication is defined the way that it is. As someone who feels "closer" at this point to applied math than pure math - largely, because it is literally more tangible - I admit a fascination with pure math, as if it were the human pursuit of universal beauty, in its ineffable, permanent and probably unattainable form. And that same pursuit of reason and order has brought renown & fame to some, but mania, loss to many. It's both the pride of humanity and terrifying, in equal measure. Like staring at a Van Gogh, and finally perhaps realizing how marvelous, impactful, insightful the statement the artist may have intended to make, yet from such humble circumstances, and with so few tools.