Causal possibility refers to the logical approach that could scientifically explain how a certain event/occurrence is happening.
Example (analyzing the prepetrator of a murder, analyzing why animals behave in a certain way, etc)
Categorical syllogism refers to a form of argument that consists of 2 premises and one conclusion.
Example (If mammals breastfeed their children, and Humans also breastfeed our children, then we can conclude that Humans are mammals)