Is there a difference between 'inconsistent' and 'contrary'? As far as I understand two statements are inconsistent when they can not both be true. Does 'contrary' have the same definition?
As far as I understand, neither term is perfectly synonymous with the other nor with 'contradictory' (where two variables cannot bear the same truth-value, be it true or false)
So do 'inconsistent', 'contrary', and 'contradictory' each have their own meaning, or are two of those terms mutually synonymous?