The word "polemise" means to engage in controversial argumentation or debate, and there are several synonyms that can be used to convey a similar meaning. One such synonym is "argue," which means to present reasons or evidence in support of a position or idea. Another synonym is "debate," which involves a formal discussion on a particular topic where opposing arguments are presented and discussed. Other synonyms for "polemise" include "dispute," "quarrel," "disagreement," and "contention." Each of these words alludes to a situation or circumstance where there is a difference of opinion, and opposing positions are being articulated and defended.