theDreamer wrote:
I never really got what's so beautiful about it.
It links the 5 most important numbers in Mathematics. Is that not beautiful?
It's true, but tells you ABSOLUTELY NOTHING.
Actually, equations related to this one have been important in developing fast ways for computers to do trigonometry.
This is why people think mathematicians do nothing but "intellectual masturbation."
Because of that.
The most beautiful mathematical proof is the one for God.
Because it's actual science: the creator didn't like what it showed him, but refused to lie about it.
Maths is not science. There is a very important difference between Maths and Science:
Science is built upon observation and experimentation. It is possible that tomorrow we will discover that something behaves in unexpected ways and invalidates a scientific theory (at least for certain domains). This is normal, and a part of the scientific process.
Mathematical proofs are just that: proofs. They are either right or wrong. Assuming you got your maths right, then your proof is irrefutably correct. No scientific law or principle can be held to that standard. It is the nature of maths that maths just is.
(This is not to say that all mathematical concepts are accepted initially; this is how we end up with names like "irrational" and "imaginary" numbers, and why college maths teachers always have to explain that, yes, imaginary numbers do exist, and do have practical application (In physics and engineering))
I say this as a physicist, not a mathematician. Mathematicians lay the bedrock on which science is built. Some maths may not have applications yet, but believe me that eventually it will.