adverb
contrariwise
kun-TRAIR-ee-wize/kənˈtreriwaɪz/
In the opposite way or from the opposite point of view.
One toy cart rolls left; the other travels contrariwise, toward the right.

Etymology
“Opposite” joined to “way” gives “in the opposite manner.” Applied to an argument rather than an action, the same combination introduces the other side of a contrast: “on the other hand.”
More examples
- The two gears turn contrariwise.
- The same evidence can be read contrariwise.
- He expects prices to rise; I argue contrariwise.
Forms
contrary adjective — Opposite in nature, direction, or opinion.
Similar words
- oppositely
- Emphasizes reversed direction or manner rather than contrasting viewpoints.
- conversely
- Introduces a contrasting statement or reverses an earlier relationship.