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Appendix

Explore the concept of propositions as true or false statements and understand how logical operations like AND, OR, and NOT create new propositions. This lesson uses truth tables to clarify how these operations work, reinforcing foundational set theory concepts critical for advanced applications.

Proposition

proposition is a statement that asserts or declares something, and it should be either true or false but not both simultaneously. That means a proposition is a declarative sentence, either true or false, but not both. We also use the term statement as a synonym for a proposition. 

The logical AND operation

The logical AND is a binary operation represented by the symbol \land. When two propositions are connected using the logical AND operation, it becomes a new proposition whose value depends on the truth values of the operands. Let’s have a look at the values of a proposition formed from two other propositions, pp and ...

Logical AND gate
Logical AND gate