Dichotomy
/daɪˈkɒt.ə.mi/ noun mediumA division between two things that are presented as completely opposite or contradictory.
The debate exposed a false dichotomy, as if the only options were total freedom or total control.
Memory Trick
'Di-' means two (as in 'divide'), and the rest of the word relates to cutting (as in 'anatomy') — a dichotomy cuts a subject cleanly into two opposing halves.