The differences in distance from Earth between the stars in any one distant galaxy are negligible compared to the vast distance to the galaxy itself. Thus, if two stars are in the same distant galaxy, any significant difference in the apparent brightness of those stars results from differences in how brightly each correlates with other characteristics by studying stars in the same distant galaxy.
What this question is testing
Conclusion
Want to figure out how a star's brightness relates to its other features? Study stars in the same distant galaxy — problem solved.
Evidence
The clever insight: stars in the same galaxy are all roughly the same distance from us. So if one looks brighter than another, it actually IS brighter — distance is not tricking us. This eliminates the distance variable and gives us a clean read on actual brightness.
Assumption
Great, so we can measure brightness accurately. But the conclusion says we can correlate brightness with "other characteristics." What other characteristics? If every star in the galaxy has the exact same size, color, temperature, and composition — if they are all identical except for brightness — there is nothing to correlate. The study needs stars that differ in ways beyond just how bright they are. No variation, no research.
Goal
Find the assumption that, when flipped, kills the study. "No stars have different other characteristics" means there is literally nothing to study.
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