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# Filling in truth tables

A truth table in logic is a tool that helps us understand how a compound statement works.

Previously, you learned about constructing a truth table. You found out that you can use truth tables to work out the truth value of compound propositions using the logic operators “and”, “or”, “not” and “implication”. A truth table displays all possible combinations of input values for a given proposition or compound proposition and the corresponding output values based on the logical operators used.

As you discovered, a truth table in logic is a tool that helps us understand how a compound statement works. It organises the information in a clear way so we can analyse and evaluate the logic behind it. It’s like a map that guides us to see how different parts of the statement fit together and what the end result will be. It’s a useful tool for anyone learning about logic and reasoning.

In the next step, we’ll recap simple propositions and constructing truth tables.