Algebra in Wonderland?

I may have to go re-read Alice (it's been several years). This would never have occurred to me.

NY Times Op-Ed piece looks at Alice as possible allegory for a dissertation on Algebra.

"In the mid-19th century, mathematics was rapidly blossoming into what it is today: a finely honed language for describing the conceptual relations between things. Dodgson found the radical new math illogical and lacking in intellectual rigor. In “Alice,” he attacked some of the new ideas as nonsense — using a technique familiar from Euclid’s proofs, reductio ad absurdum, where the validity of an idea is tested by taking its premises to their logical extreme."