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I posted this as a response to a comment, but it fits here too: I gave the wrong impression. We still need math, physics, and all the fundamentals, but being able to communicate those things is important. People like Neil deGrasse Tyson and Brian Cox are up against a sea of ignorance that's rarely willful.

Making sure all mathematicians and physicists are able to respond to someone outside their field when challenged will help fix that.

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I agree with the crux of your post. However, people hone their communication skills on a daily basis, simply by interacting with the people around them. Having a strong pedestal in math and science rely heavily on the educational system. A solid background in these areas make it much easier to understand more complex principles, and to think clearly and logically. It's important to communicate your thoughts coherently, but your ideas, themselves, are more important.

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