Truth Value of Sentences Containing Logical Contradictions?

Can logical contradictions be true?

Technically, however, a logical contradiction is a proposition that is true and false in the same sense; a proposition which is true in one sense and false in another does not constitute a logical contradiction.

What is an example of a logical contradiction?

In logic, it is a fundamental law- the law of non contradiction- that a statement and its denial cannot both be true at the same time. Here are some simple examples of contradictions. 1. I love you and I don’t love you.

How do you determine if a sentence is a logical truth?

To determine whether a sentence is a logical truth, we must, just as we do in sentence logic, look for a counterexample-that is, a case in which the sentence is false. Consequently To test a predicate logic sentence, X, for being a logical truth, make -X the first line of a tree.

What are the truth values in logical system?

In classical logic, with its intended semantics, the truth values are true (denoted by 1 or the verum ⊤), and untrue or false (denoted by 0 or the falsum ⊥); that is, classical logic is a two-valued logic. This set of two values is also called the Boolean domain.

Can two contradictory things both be true?

In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions “p is the case” and “p is not the case” …

Can two contradictory statements be false?

Contraries may both be false but cannot both be true. Contradictories are such that one of them is true if and only if the other is false.

What is an example of a logical truth?

On standard views, logic has as one of its goals to characterize (and give us practical means to tell apart) a peculiar set of truths, the logical truths, of which the following English sentences are paradigmatic examples: (1) If death is bad only if life is good, and death is bad, then life is good.

What makes a statement true in logic?

Logical and Critical Thinking

A statement is true if what it asserts is the case, and it is false if what it asserts is not the case. For instance, the statement “The trains are always late” is only true if what it describes is the case, i.e., if it is actually the case that the trains are always late.

What is truth according to logic?

Logical truth is one of the most fundamental concepts in logic. Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity of its constituent propositions.

What is the relationship between logic and truth?

Logic uses the concept of TRUTH, but a very simplified one. See Tarski’s Truth Definitions. But in order to use it, logic does not need a philosophical account of TRUTH. Logic chases truth up the tree of grammar — see Quine,…

What are the 4 types of truth?

Truth be told there are four types of truth; objective, normative, subjective and complex truth.