If it is winter, then there will be snow
It is winter
_____________
Thus, it is snowing.
While we pay attention to the definition of logical validity, the premise are suppose to be true and the conclusion is false. If you look at the argument, it really isn’t that strong to be true. For example, suppose it is winter in Fontana, California of 2012, there was no snow. Yet, there was snow on 2007. The conclusion is not fully correct. Therefore by definition, it is logically valid. At other points the V.T does not work. Everyone who loves math is happy
Erika does not love math
___________
Erika is not happy.
With a premise true and conclusion false,
Everyone who love math is happy
Erika does not love math
___________
Erika is happy.
Story: Erika does not love math but is happy because she cheated and got an A+ on her final.
This explain the premises is false and conclusion true. By definition this is not logically valid.