What is Logical Validity?
Logical validity is a property of a logical argument that determines whether the conclusion is entailed by the premises. In other words, logical validity is the property of a logical argument which makes it impossible for the premises to be true and the conclusion false. A logically valid argument is one that is impossible for the premises to be true and the conclusion false. A logically valid argument is one that is both valid and sound. Valid arguments have a logical form, such as modus ponens or modus tollens, which makes it impossible for the premises to be true and the conclusion false. Sound arguments are valid arguments with all true premises.
Examples of Logical Validity
Below are some examples of logical validity.
- If it is raining, then the ground is wet. The ground is wet. Therefore, it is raining.
- If a triangle has three equal sides, then it is an equilateral triangle. This triangle has three equal sides. Therefore, it is an equilateral triangle.
- If a person is over 18, then they are legally allowed to vote. This person is not legally allowed to vote. Therefore, they are not over 18.
Conclusion
Logical validity is the property of a logical argument which makes it impossible for the premises to be true and the conclusion false. Valid arguments have a logical form, such as modus ponens or modus tollens, which makes it impossible for the premises to be true and the conclusion false. Sound arguments are valid arguments with all true premises. Further reading: