Ex. If I were writing an essay on the narrator being sane and I wrote for the counterclaim that people think she's insane because she’s obsessed with the wallpaper, then I would need to show that her obsession with the wallpaper does not make her crazy. I would do this by providing strong textual evidence that disproves the counterclaim by showing the wallpaper as being helpful for her condition.
Ex. If I were writing an essay on the narrator being sane and I wrote for the counterclaim that people think she's insane because she’s obsessed with the wallpaper, then I would need to show that her obsession with the wallpaper does not make her crazy. I would do this by providing strong textual evidence that disproves the counterclaim by showing the wallpaper as being helpful for her condition.