LESSON 4 · Think Like a Mathematician
Logical reasoning shows up in practical ways. Consider debugging — whether it is a broken appliance or a software bug, you use if-then chains: "If the lamp will not turn on, then either the bulb is dead, the socket is faulty, or there is no power."
Contrapositive thinking is one of logic's most powerful tools. "If it is raining, then the ground is wet" is logically identical to "if the ground is not wet, then it is not raining." Doctors use this constantly: if a disease always causes fever, then a patient without fever does not have that disease.