SOLUTION: 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. contraposit

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(1806) (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
RELATED QUESTIONS
What is the inverse of the contrapositive of the converse of the conditional... (answered by math_helper)

I work on this problem and I'm still having trouble I need your assistant please help.... (answered by jim_thompson5910)

please help my teacher is still saying this is wrong I don't know what I'm doing wrong... (answered by solver91311)

im not sure what the subject is in but i need live chat tutoring on the subject of what... (answered by plourde216,cleomenius)

Write the converse, inverse, and contrapositive of the following conditional statement (answered by DRichardson)

Need help again-thx Write the converse, inverse, and contrapositive of the following... (answered by solver91311)

Write the converse, inverse, and contrapositive of the following conditional statement (answered by Fombitz,Edwin McCravy)

Write the converse of the conditional statement below : If it is raining, then there... (answered by jim_thompson5910)

Don't understand what is the converse, inverse and contrapositive of this... (answered by solver91311)