USViking
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The difference between partial differential equations and no partial differential equations is more than just one of infinite degree, it is also once of difference in kind, since no animal has any mathematical skill at all.The difference is just a difference in degree, and not in kind. There are examples of animals doing almost all of the same things that humans do.
No it is not possible, as closely as we have studied them.It is possible that the cetaceans may have an intellect as great as that of man, but, living in a different environment, they haven't developed the use of tools and fire as we have.