What conclusions of Ptolemy’s theory turned out to be correct?

The spatial arrangement of celestial bodies, the recognition of their motion, the rotation of the Moon around the Earth, the possibility of mathematical calculation of the apparent positions of the planets.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.