Can two contradictory statements be true?

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.

When 2 or more propositions can’t all be true at the same time they are what?

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” …

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Why is a conditional with a false hypothesis always true?

Therefore, the conditional must be true. the hypothesis does not hold. Therefore, the conditional is true. Though it is clear that a conditional statement is false only when the hypothesis is true and the conclusion is false, it is not clear why when the hypothesis is false, the conditional statement is always true.

What can be true and false at the same time?

Dialetheism (from Greek δι- di- ‘twice’ and ἀλήθεια alḗtheia ‘truth’) is the view that there are statements which are both true and false. More precisely, it is the belief that there can be a true statement whose negation is also true.

When two propositions can both be false but Cannot both be true there traditional square of opposition relationship is?

Contrary is the relationship between two propositions when they cannot both be true (although both may be false). Thus, we can make an immediate inference that if one is true, the other must be false. The law holds for the A and E propositions of the Aristotelian square of opposition.


In which of the following propositions both can be true simultaneously but Cannot be false simultaneously?

– Subcontraries
Therefore, according to the relations given in the image, If two propositions are so related that both can be true simultaneously but cannot be false simultaneously are called – Subcontraries.

Can a false hypothesis lead to a true conclusion?

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 an inverse and the Contrapositive both have false truth values?

If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true. If two angles are congruent, then they have the same measure….Converse, Inverse, Contrapositive.

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Statement If p , then q .
Inverse If not p , then not q .
Contrapositive If not q , then not p .

Which statement about the logical operators & and && is true?

Remarks. The logical AND operator ( && ) returns true if both operands are true and returns false otherwise.

Which logical operator returns true if either condition is true?

&& is the logical and operator. It returns TRUE if both of the arguments evaluate to TRUE. This operator supports short-circuit evaluation, which means that if the first argument is FALSE the second is never evaluated.