- #1
neil87
- 1
- 0
Use the standard logical equivalences to simlify the expression (-p^q)v-(pvq)...
fanx folks!
fanx folks!
Logical equivalence is a relationship between two statements or propositions, where they have the same truth value in all possible scenarios. This means that if one statement is true, the other statement must also be true, and if one is false, the other must also be false.
Logical equivalence and logical implication are both relationships between two statements, but they are not the same. Logical equivalence means that the two statements have the same truth value, while logical implication means that one statement being true guarantees the truth of the other statement.
Some common symbols used to represent logical equivalence are the triple bar (≡), the double arrow (⇔), and the tilde (~). These symbols are typically used in between two statements to show that they are logically equivalent.
Some examples of logically equivalent statements are "If it is raining, then the ground is wet" and "The ground is wet if it is raining." Another example is "All squares are rectangles" and "All rectangles are squares." In both cases, the two statements have the same truth value.
Logical equivalence is useful in solving problems because it allows us to simplify complex statements and make logical deductions. By using logical equivalence, we can break down a statement into smaller, equivalent statements that are easier to understand and work with. This can help us to find solutions and make logical arguments more effectively.