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

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

Nope. A conjunction is true when (and only when) both conjuncts are true.

In which case is a conjunction false?

The negation of a conjunction is only false when the original two statements are both true. A conjunction is two statements that are joined by an “and”. The negation of a disjunction is only true when both of the original statements are false. A disjunction is two statements that are joined by an “or”.

What is conjunction In truth tables?

Truth Table of Logical Conjunction. A conjunction is a type of compound statement that is comprised of two propositions (also known as simple statements) joined by the AND operator.

### Under what circumstances is a conditional false?

When the antecedent is false, the truth value of the consequent does not matter; the conditional will always be true. A conditional is considered false when the antecedent is true and the consequent is false.

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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.

When both statements are true?

A conjunction is true only if both statements that form the conjunction is true. If we have two statements that are joined by “or” we have a disjunction. p or q gives us that Bill is travelling to Mexico or Bill is travelling to Canada.

## What is a false conjunction?

false. A conjunction is formed by combining two statements with the connector “and.” One of these statements can be a negation as shown in the example below.

When both or all disjuncts are false is the only time a disjunction is true?

A conjunction is false only when both conjuncts are false. A disjunction is true only when both disjuncts are true. A negation is always false when the sentence negated is false.

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In what situation is a conjunction false or true?

Definition: A conjunction is a compound statement formed by joining two statements with the connector AND. The conjunction “p and q” is symbolized by p q. A conjunction is true when both of its combined parts are true; otherwise it is false.

### How do you know if a truth table is true or false?

In general, to determine validity, go through every row of the truth-table to find a row where ALL the premises are true AND the conclusion is false. Can you find such a row? If not, the argument is valid. If there is one or more rows, then the argument is not valid.