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→Incorrect example: You are just wrong.
We cannot say for sure that if B is not true then A will no be true. This is not supported by the premise. The premise states only the relationship of B dependent upon A, not vice versa. Of course we could guess, given that true or false are the only options here, but there is no premise to support the conclusion that if B is not true then A is not true. It is not the easiest concept to explain through a means such as this, but I'm afraid I am correct and I will remove the example again if it is added, for it is not an example of deduction. [[User:DWiggins|DWiggins]] 22:20, 30 October 2009 (EDT)
We cannot say for sure that if B is not true then A will no be true. This is not supported by the premise. The premise states only the relationship of B dependent upon A, not vice versa. Of course we could guess, given that true or false are the only options here, but there is no premise to support the conclusion that if B is not true then A is not true. It is not the easiest concept to explain through a means such as this, but I'm afraid I am correct and I will remove the example again if it is added, for it is not an example of deduction. [[User:DWiggins|DWiggins]] 22:20, 30 October 2009 (EDT)
:No, you are wrong. Unless one is using some kind of bizarre non-binary "logic", or "fuzzy logic" (a computer science term that is not the same as mathematical logic), or some extreme interpretation of intuitionistic logic, the example I put back is perfectly valid. It's called the "contrapositive", and its logical correctness has been used since the time of Euclid. [[User:PatrickD|PatrickD]] 23:12, 30 October 2009 (EDT)