Doubt on Implication of Logical reasoning [duplicate]












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This question already has an answer here:




  • In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?

    14 answers



  • In classical logic, why is $(pRightarrow q)$ True if both $p$ and $q$ are False?

    21 answers




Its evident that in the truth table of $p to q$



When $p$ is False and $q$ is True, Then $p to q$ is True.



But in some instances i could not convince myself about this truth value.



For example:



$p$: Quadrilateral is Cyclic



$q$: Opposite angles are supplementary



Now is $p$ is False and $q$ is True, how can $p to q$ can be True?










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marked as duplicate by spaceisdarkgreen, Tanner Swett, Derek Elkins, Lord Shark the Unknown, Mauro ALLEGRANZA logic
Users with the  logic badge can single-handedly close logic questions as duplicates and reopen them as needed.

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Jan 22 at 7:17


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.


















  • $begingroup$
    Also math.stackexchange.com/questions/53777/… math.stackexchange.com/questions/616295/… math.stackexchange.com/questions/168282/…
    $endgroup$
    – spaceisdarkgreen
    Jan 22 at 4:37








  • 2




    $begingroup$
    I've marked this as a possible duplicate of "In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?"
    $endgroup$
    – Tanner Swett
    Jan 22 at 4:54


















0












$begingroup$



This question already has an answer here:




  • In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?

    14 answers



  • In classical logic, why is $(pRightarrow q)$ True if both $p$ and $q$ are False?

    21 answers




Its evident that in the truth table of $p to q$



When $p$ is False and $q$ is True, Then $p to q$ is True.



But in some instances i could not convince myself about this truth value.



For example:



$p$: Quadrilateral is Cyclic



$q$: Opposite angles are supplementary



Now is $p$ is False and $q$ is True, how can $p to q$ can be True?










share|cite|improve this question









$endgroup$



marked as duplicate by spaceisdarkgreen, Tanner Swett, Derek Elkins, Lord Shark the Unknown, Mauro ALLEGRANZA logic
Users with the  logic badge can single-handedly close logic questions as duplicates and reopen them as needed.

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Jan 22 at 7:17


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  • $begingroup$
    Also math.stackexchange.com/questions/53777/… math.stackexchange.com/questions/616295/… math.stackexchange.com/questions/168282/…
    $endgroup$
    – spaceisdarkgreen
    Jan 22 at 4:37








  • 2




    $begingroup$
    I've marked this as a possible duplicate of "In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?"
    $endgroup$
    – Tanner Swett
    Jan 22 at 4:54
















0












0








0





$begingroup$



This question already has an answer here:




  • In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?

    14 answers



  • In classical logic, why is $(pRightarrow q)$ True if both $p$ and $q$ are False?

    21 answers




Its evident that in the truth table of $p to q$



When $p$ is False and $q$ is True, Then $p to q$ is True.



But in some instances i could not convince myself about this truth value.



For example:



$p$: Quadrilateral is Cyclic



$q$: Opposite angles are supplementary



Now is $p$ is False and $q$ is True, how can $p to q$ can be True?










share|cite|improve this question









$endgroup$





This question already has an answer here:




  • In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?

    14 answers



  • In classical logic, why is $(pRightarrow q)$ True if both $p$ and $q$ are False?

    21 answers




Its evident that in the truth table of $p to q$



When $p$ is False and $q$ is True, Then $p to q$ is True.



But in some instances i could not convince myself about this truth value.



For example:



$p$: Quadrilateral is Cyclic



$q$: Opposite angles are supplementary



Now is $p$ is False and $q$ is True, how can $p to q$ can be True?





This question already has an answer here:




  • In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?

    14 answers



  • In classical logic, why is $(pRightarrow q)$ True if both $p$ and $q$ are False?

    21 answers








logic






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share|cite|improve this question











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share|cite|improve this question










asked Jan 22 at 4:24









Umesh shankarUmesh shankar

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2,97531220




marked as duplicate by spaceisdarkgreen, Tanner Swett, Derek Elkins, Lord Shark the Unknown, Mauro ALLEGRANZA logic
Users with the  logic badge can single-handedly close logic questions as duplicates and reopen them as needed.

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Jan 22 at 7:17


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.









marked as duplicate by spaceisdarkgreen, Tanner Swett, Derek Elkins, Lord Shark the Unknown, Mauro ALLEGRANZA logic
Users with the  logic badge can single-handedly close logic questions as duplicates and reopen them as needed.

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Jan 22 at 7:17


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.














  • $begingroup$
    Also math.stackexchange.com/questions/53777/… math.stackexchange.com/questions/616295/… math.stackexchange.com/questions/168282/…
    $endgroup$
    – spaceisdarkgreen
    Jan 22 at 4:37








  • 2




    $begingroup$
    I've marked this as a possible duplicate of "In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?"
    $endgroup$
    – Tanner Swett
    Jan 22 at 4:54




















  • $begingroup$
    Also math.stackexchange.com/questions/53777/… math.stackexchange.com/questions/616295/… math.stackexchange.com/questions/168282/…
    $endgroup$
    – spaceisdarkgreen
    Jan 22 at 4:37








  • 2




    $begingroup$
    I've marked this as a possible duplicate of "In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?"
    $endgroup$
    – Tanner Swett
    Jan 22 at 4:54


















$begingroup$
Also math.stackexchange.com/questions/53777/… math.stackexchange.com/questions/616295/… math.stackexchange.com/questions/168282/…
$endgroup$
– spaceisdarkgreen
Jan 22 at 4:37






$begingroup$
Also math.stackexchange.com/questions/53777/… math.stackexchange.com/questions/616295/… math.stackexchange.com/questions/168282/…
$endgroup$
– spaceisdarkgreen
Jan 22 at 4:37






2




2




$begingroup$
I've marked this as a possible duplicate of "In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?"
$endgroup$
– Tanner Swett
Jan 22 at 4:54






$begingroup$
I've marked this as a possible duplicate of "In classical logic, why is $(pRightarrow q)$ True if $p$ is False and $q$ is True?"
$endgroup$
– Tanner Swett
Jan 22 at 4:54












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