Truth Values In Logic: Determining Validity And Soundness Of Statements

truth value

The truth or falsity of a statement.

Truth value refers to the logical value assigned to a statement, proposition or sentence. The two possible truth values are true and false.

In logic, truth value is used to determine the validity or soundness of an argument or reasoning. An argument is valid if its conclusion logically follows from its premises, and sound if it is both valid and has true premises.

For example, the statement All mammals have fur can be assigned the truth value of true because it is a universally accepted fact. On the other hand, the statement All unicorns have wings can be assigned the truth value of false, as unicorns do not exist in reality.

It is important to note that some statements cannot be assigned a truth value due to their ambiguity or lack of clarity. In such cases, further clarification or definition may be necessary to determine their truth value.

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