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Dear Rick,
I share your argumentation about the objectivity of the Platonic world and your conclusion that the
"actual history of physics itself should put to rest the argument that mathematics is a mere invention of the human mind which we impose upon nature. Mathematics is truth not trick".
In this respect, you may see in our essay the arguments similar to yours. I think though that answering the question
"how, among such a huge number of mathematical structures are we able to find the one that is actually ours?"
you lost an important fact that the laws of nature are expressed by rather simple equations. This fact is used in our refutation of Tegmark's "mathematical democracy".
Regards,
Alexey.