A complex truth table
We can use the above truth tables to create a more complex truth table. For example, “Socrates is a human and he’s not a vampire.” We can translate this into logical form as “A ∧ ¬B.” (We use capital letters because they stand for something specific.) In this case “A” stands for “Socrates is a human” and “B” stands for “Socrates is not a vampire.”
The truth table for this is the following:
AB
¬B
A ∧ ¬B
TTFF
TFTT
FTFF
FFTF
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