Letters to the Editor
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What it means for science to be objective
It means the subject/object split can be justified.
This is true for a person reading the dial of a machine that measures radioactivity. The person's opinions about the measurement aren't going to have much power to sway the measurement.
This is not true for a person "measuring" his or her own mental state by thinking about it.
The subject/object split cannot be made in that case, therefore you simply can't do science that way.