appearances to the contrary

: external show : semblance

: outward aspect : look

: outward indication

: a fact or condition incompatible with another : opposite

: one of a pair of opposites

: a proposition (see ¹proposition 2a) so related to another that though both may be false they cannot both be true — compare subcontrary

: being so different as to be at opposite extremes : opposite

: being not in conformity with what is usual or expected

: unfavorable

: contrariwise, contrarily