In mathematics, the symbols represent things with clear and precise meanings. My question is regarding the experience of reading/doing mathematics.
When you are reading some piece of mathematics, is the symbols alone enough for you to understand it? Or do you read out the symbols in your head like when reading an ordinary article on the web? Or maybe represent them with some visuals inside the head?
I mean for example, $\frac{d}{dx}[f(x)]$, is it possible do understand this by just 'seeing' it? Like seeing a red light in traffic means stop. You dont have to go through an inner dialogue saying 'red means stop' therefor stop.