To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature ... If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in.
Mathematics is not just a language. Mathematics is a language plus reasoning.
You can know the name of a bird in all the languages of the world, but when you're finished, you'll know absolutely nothing whatever about the bird... So let's look at the bird and see what it's doing -- that's what counts.
Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning.
The real problem in speech is not precise language. The problem is clear language.
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