First, a definition of terms:

PositiveNegative
TrueSignal fires and the target condition existsSignal does not fire and the target condition does not exist
FalseSignal fires and the target condition does not existSignal does not fire and the target condition exists
The framings most often used in cybersecurity are True Positive, False Positive, and False Negative. For both Positive conditions, an alert fires; alert noise is attributed (sometimes unfairly) to False Positives, and False Negatives occur when an alert/signal should have fired but did not - malicious activity occurred that was missed.

Generally, reducing False Positives means tuning the rule to be more specific, which runs the risk of overfitting and permitting False Negatives.

Jared Atkinson shared a tool that makes this more obvious - try it out! Changing the criterion value within this tool changes the evidence range within which a signal will be reported, changing all of the rates from the above table.