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Section 2.3 - Truth Tables and Equivalence

In this series of lectures, we're going to do one of the things that mathematicians always like to do when they come up with a new kind of object like our propositional statements: We're going to look for ways to tell when two compound statements are equal or, in the language of mathematical logic, when they're equivalent.



In this lecture, we're going to look at two special types of truth tables: ones that are always true (tautologies) and ones that are always false (contradictions). (lecture slides)
Now that we know how to evaluate when a statement is true and when it's false we have a basis for comparing them or, in logical terms, deciding when they're equivalent. (lecture slides)

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