When two statements are both true or both false they are called?

When two statements are both true or both false they are called?

In general, when two statements are both true or both false, they are called equivalent statements.

Can philosophical statements be true?

Statements can be either false or true, but not both at the same time and in the same context. Statements can be either false or true, but not both at the same time and in the same context. If a statement is offered as both false and true, it violates the Aristotelian Law of Noncontradiction.

Can a conjunction be true even if it has a false conjunct?

Conjunction is true only when both conjuncts are true; otherwise is false. Disjunction (inclusive, that usually used in math logic with “or”) is false only when both disjuncts are false; otherwise is true.

What is true and false philosophy?

It is a fact, that truth is bound within the domain of concepts, and hence impossible to be eternal. It is a fact, that anything claimed as “eternal”, cannot be proven to be the case, because eternity does not exist in order to be used in the construction of any logically deductive proof.

Which statement is always false?

contradiction
A statement which is always false is called a contradiction. For example, p ∧ (¬p) is a contradiction, while p ∨ (¬p) is a tautology.

Why is a conditional statement true when the hypothesis is false?

the hypothesis does not hold. Therefore, the conditional is true. This example implies that a conditional statement is false only when the hypothesis is true and the conclusion is false. This conditional statement is true yet its hypothesis is false and its conclusion is true.

What is a true statement in philosophy?

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. Thus, logical truths such as “if p, then p” can be considered tautologies.

Is there any possibility that a true statement can be false or vice versa?

If a statement is true, then its contrapositive is true (and vice versa). If a statement is false, then its contrapositive is false (and vice versa).

When can a conditional statement be false?

A conditional statement is false if hypothesis is true and the conclusion is false. The example above would be false if it said “if you get good grades then you will not get into a good college”. If we re-arrange a conditional statement or change parts of it then we have what is called a related conditional.

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.

Can two contradictory statements be true?

Two statements with contradictory meanings cannot be both true. But the context of the two statements can be different so that the statements although contradictory in words are not contradictory in meaning.

Which statement that is always true?

Tautology
Tautology: A statement that is always true, and a truth table yields only true results.