Final answer:
Astrology is the example of pseudoscience listed as it is not based on empirical evidence or the scientific method, unlike the legitimate scientific fields of astronomy, chemistry, and mathematics.
Step-by-step explanation:
The example of pseudoscience among the options provided is astrology. Astrology claims to discern information about human affairs and terrestrial events by interpreting the movements and relative positions of celestial bodies. This practice is not based on empirical evidence and does not follow the scientific method; therefore, it is considered pseudoscience.
In contrast, astronomy is a natural science that studies celestial phenomena based on systematic observations and physics laws, making it a legitimate scientific field. Similarly, chemistry and mathematics are also formal sciences that rely on empirical evidence and rigorous methodologies.