What ways of knowing is used to know the ability to use existing facts to derive new information?

The ability to use existing facts to derive new information primarily involves logical reasoning and analytical thinking, which are forms of rationalism. Additionally, empirical knowledge can play a role, as it relies on observation and experimentation to validate or challenge derived conclusions. Critical thinking also contributes, as it allows individuals to evaluate the validity of the information and the methods used to arrive at new insights. Together, these ways of knowing facilitate the synthesis of knowledge and the advancement of understanding.