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No. Consider the statement "If I'm alive, then I'm not dead." That statement is true. The converse is "If I'm not dead, then I'm alive.", which is also true.

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Q: Is the converse of a true conditional statement always false?
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Is the Converse of a false statement always false?

Let's take an example.If it is raining (then) the match will be cancelled.A conditional statement is false if and only if the antecedent (it is raining) is true and the consequent (the match will be cancelled) is false. Thus the sample statement will be false if and only if it is raining but the match still goes ahead.By convention, if the antecedent is false (if it isn't raining) then the statement as a whole is considered true regardless of whether the match takes place or not.To recap: if told that the sample statement is false, we can deduce two things: It is raining is a true statement, and the match will be cancelled is a false statement. Also, we know a conditional statement with a false antecedent is always true.The converse of the statement is:If the match is cancelled (then) it is raining.Since we know (from the fact that the original statement is false) that the match is cancelled is false, the converse statement has a false antecedent and, by convention, such statements are always true.Thus the converse of a false conditional statement is always true. (A single example serves to show it's true in all cases since the logic is identical no matter what specific statements you apply it to.)If you are familiar with truth tables, the explanation is much easier. Here is the truth table for A = X->Y (i.e. A is the statement if X then Y) and B = Y->X (i.e. B is the converse statement if Y then X).X Y A BF F T TF F T TT F F TF T T FLooking at the last two rows of the A and B columns, when either of the statements is false, its converse is true.


Do you know if the reverse of a conditional statement is always true?

false


Is The converse of a biconditional statement is always true?

No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.


If a triangle is equilateral then it is isosceles What is the converse of the statement?

If a triangle is isosceles, then it is equilateral. To find the converse of a conditional, you switch the antecedent ("If ____ ...") and consequent ("... then ____."). (Of course, if not ALL isosceles triangles were equilateral, then the converse would be false.)


When is a conditional statement false?

A conditional statement is indeed a statement that can be put in the form "if A, then B". The only time this conditional statement is false is when both A is true and also B is false.Read more: http://wiki.answers.com/What_is_a_conditional_statement#ixzz1lda5tB6E


Is the converse of a true if-then statement never true?

Converses of a true if-then statement can be true sometimes. For example, you might have "If today is Friday, then tomorrow is Saturday," and "If tomorrow is Saturday, then today is Friday." Both the above conditional statement and its converse are true. However, sometimes a converse can be false, such as: "If an animal is a fish, then it can swim." and "If an animal can swim, it is a fish." The converse is not true, as some animals that can swim (such as otters) are not fish.


When you change the truth value of a given conditional statement?

by switching the truth values of the hypothesis and conclusion, it is called the contrapositive of the original statement. The contrapositive of a true conditional statement will also be true, while the contrapositive of a false conditional statement will also be false.


is this statement true or falseA biconditional statement combines a conditional statement with its contrapositive.?

false


A biconditional statement combines a conditional statement with its contrapositive. T or F?

False


What is a conditional statement that is false?

"If swallows can fly then I am a monkey's uncle"


is this statement true or falseThe inverse is the negation of the converse.?

false


What is the proof to this G therefore H v not H?

Suppose H is true the H or not H is true.Suppose H is false. Then not H is true and therefore H or not H is true.Therefore, in either case, the conclusion "H or not H" is always true.A conditional statement is false if the condition is true but the conclusion is false. Here the latter cannot happen and so the conditional statement is always true.