A good place to start may be with the book by Daniel Dennett: Intuition Pumps And Other Tools for Thinking https://www.amazon.com/Intuition-Pumps-Other-Tools-Thinking-...
Similarly, it's great to read good science books with careful arguments. One of the best I think is Culture of Honor: The Psychology of Violence in the South https://www.amazon.com/Culture-Honor-Psychology-Violence-Dir... -- the authors use a variety of independent experiments to make their conclusions.
In general, it's probably worth learning a bunch of psychology too - to understand others better (along with the variety of cognitive biases people have). A classic book in this direction is Dan Ariely's Predictably Irrational https://www.amazon.com/Predictably-Irrational-Revised-Expand...