TITLE: How is "p implies q" same as "q unless not p"?
QUESTION [10 upvotes]: I want to know how is "p implies q" same as "q unless not p"?
ie how is "$p\Rightarrow q$" same as "$q$ unless $\neg p$" ?

REPLY [3 votes]: Sorry, but I disagree with the last example (given by Aditya Raj).  I would interpret "She finds a good job unless she does not study math" as saying that the only circumstance that would cause her not to find a good job is failing to study math.  But this is not at all implied by the original conditional statement which does guarantee that studying math will lead to a good job, but allows for other possibilities (does not make it a requirement).