The Feminum Mystique: Part 2 - S1-E6
Continuity mistake: When Wonder Woman is spinning the XPJ-1 around, she's seen approaching the jet with her hands empty and her lasso on her side where it usually is. As the scene progresses, her golden lasso magically appears in her right hand even though she never reached down to pick it up.
The Feminum Mystique: Part 2 - S1-E6
Other mistake: When Captain Radl is parachuting into the water, the episode's onscreen textbox reads, "Elsewhere in the Carribean, a Nazi rendezvous is occuring," but the proper spelling of the words are "Caribbean" and "occurring."
The Feminum Mystique: Part 2 - S1-E6
Revealing mistake: When one of the Nazis brings Drusilla a hot meal while she's being held in the deserted warehouse, in the shot just as she whacks him in the stomach we can see the stunt cable over the Nazi (stunt double) which lifts and pulls him back.
The Feminum Mystique: Part 2 - S1-E6
Continuity mistake: While Nazis are invading Paradise Island, back at the deserted warehouse when one of the Nazis brings Drusilla a hot meal he slams the door shut, but when Drusilla hits him in the stomach the door is suddenly wide open, but when she rushes out of the room the door is closed and she pushes it open.
The Feminum Mystique: Part 2 - S1-E6
Other mistake: This takes place during WWII, but during scenes revolving around the XPJ-1 at Aldridge Field, there are modern 1970s vehicles which can be seen all over the airfield in the background of some shots.
The Feminum Mystique: Part 2 - S1-E6
Other mistake: On Paradise Island, while the Nazis are distracted by the quarreling Amazons in the water, when Wonder Woman jumps and lands beside Queen Hippolyta her boots are flat, but the heels soon appear when she rushes off with the bracelets. This happens again later, when Wonder Woman chases after the XPJ-1 on the runway.
The Feminum Mystique: Part 2 - S1-E6
Visible crew/equipment: When Queen Hippolyta gives Drusilla permission to go back with Dianna, just Drusilla and Diana kiss their mother goodbye we can see the shadow of the boom mic moving on the wall at the top of the screen.
The Feminum Mystique: Part 2 - S1-E6
Visible crew/equipment: After the Nazis are defeated on Paradise Island, Queen Hippolyta tells her daughters that she has plans for those Nazis, and at the start of the next shot a bit of set equipment is visible at the left side of the screen (widescreen version).
The Feminum Mystique: Part 2 - S1-E6
Visible crew/equipment: During the Nazi rendezvous aboard the destroyer in the Caribbean, when Captain Radl and the other Nazi walk into the ship's stateroom, both unfinished ends of the set walls are visible at the left and right side of the screen (widescreen version).
Answer: There is no logical reason. Any normal person would notice these type of absences. The show employs a "suspension of disbelief," which is a literary device where the movie audience or a book reader accepts that certain things are unreal for the sake of the story to be told. It is similar to no-one noticing that Clark Kent looks exactly like Superman because he wears glasses.
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