vs math

Was Romanticism a reaction against rationality and reason? In some ways it was, but it's really not that simple. You can't accuse Coleridge and Wordsworth (or any of the other important representatives of the Romantic movement) of being anti-intellectual. Then, if we look at German Romanticism, it's even clearer because a lot of the poets were actually scientists as well. 

Ultimately, in the battle for hearts and minds, the mathematicians won. That's why we don't take Goethe's theory of light seriously, but we do take Newton's seriously.