inaction vs. futile action theme

Someone has no good options but must choose between doing nothing, or waste effort doing something that is most certainly pointless.

Examples

Captain Kirk and Commissioner Ferris debated whether to keep up the search for the Galileo shuttlecraft in tos1x13 "The Galileo Seven", even though it was almost certainly hopeless.

3 total · 2 major · 1 minor

StoryLevelMotivation
tos1x13 major Kirk :: Captain Kirk and Commissioner Ferris debated whether to keep up the search for the Galileo shuttlecraft, even though it was almost certainly hopeless.
tz1959e3x14 major The Major insisted on a variety of ineffective escape attempts that the others poo-pooed as they'd rather do nothing at all.
voy2x06 minor discussion in the holodeck