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Mathematics 18 Online
OpenStudy (anonymous):

Can someone explain to me why true conditional statements can have a false hypothesis?

OpenStudy (perl):

a conditional statement that has a false hypothesis is trivially true

OpenStudy (anonymous):

would you mind explaining more in depth why the hypothesis can be false?

OpenStudy (perl):

it is because of how we define truth in conditional statements

OpenStudy (perl):

In logic, a conditional statement ' if p then q ' is defined to be false only in the case when p is true and q is false. it is true otherwise

OpenStudy (perl):

so lets make a truth table

OpenStudy (perl):

|dw:1420683624120:dw|

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