I second your perspective about the humbling power of really studying math. If you're wrong, no amount of rhetorical flourishes or shifting the goalposts will convince anyone that you aren't wrong.
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Wow. Thank you for your thoughtful and insightful reply.
I always liked math as a kid because I thought I knew there was one right answer. I liked spelling too for the same reason. I believed the teacher couldn't subjectively judge my work. Of course that was middle school and highschool. I'm basic when it comes to math.
I feel that right and wrong are words we came up with. Everyone has a different perspective and experience, which informs what they believe to be right or wrong. There is always an exception to a rule and depending on our version of the events, or our interpretation of the story, we may or may not see the exception. We seem to have social contracts and common beliefs that are very natural. Be kind to each other. I feel I act this way because it is natural for me. Not because it is right. And who is to be the ultimate decider of what is right and wrong assuming there is "a right" and "a wrong".
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You could convince me I am wrong, though.