I love the abstractness of Mathematics so I dispute the thesis. And I'm (wrongly) a Physicist. Abstraction do not "hamper understanding" but the rigor necessar

I love the abstractness of Mathematics so I dispute the thesis. And I'm (wrongly) a Physicist. Abstraction do not "hamper understanding" but the rigor necessary to define the abstract objects of Mathematics is ruthless on your misunderstanding, that's why people do not like it: they cannot hand-wave it. I've always hated the "example-first" classes: they create the illusion of understanding and then you have dozen of seemingly disconnected facts (examples) that are just variations of one simple abstract structure that has not been defined because... I don't know.