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Question 4140: what is the meaning of conditional statement. what is the two parts of it and also can you please define "converse" and "inverse". please also define the following:
1. contrapositive
2. tauthology
3. contradiction
4. logical equivalence
Answer by AnlytcPhil(1808)   (Show Source):
You can put this solution on YOUR website! >>what is the meaning of conditional statement.
A statement of the form "If P is true, then Q is true", often
written " P => Q"
>>...what [are] the two parts of it...<<<
The antecedent (P) and the consequence (Q).
>>...and also can you please define "converse" and "inverse". please also define the following: 1. contrapositive...<<
These are three conditionals which are related to P => Q; but only the contrapositive is equivalent to it:
Converse of P=>Q is Q=>P
Inverse of P=>Q is ~P=>~Q
Contrapositive of P=>Q is ~Q=>~P
<<>>2. tautology<<>>
A logical statement which is true regardless of the truth or falsity
of the variables.
<<>>3. contradiction<<>>
A logical statement which is false regardless of the truth or falsity
of the variables.
Example: ~(P /\ Q) <=> ~P \/ ~Q
4. logical equivalence
P and Q are logically equivalent if P=>Q and Q=>P.
Edwin
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