Implication (if I can observe that Q is true sometimes and false sometimes) I got a question for implication, P implies Q is true when P is true, Q is true at the same time. P implies Q is false when P is true, but Q is false.
My question is if P is true, but sometimes Q is true and sometimes is false, then, can I say the implication is false or true.
For example: P is " It is a Christmas day" ; Q is "it is Wednesday"
Does P implies Q true or false? Since Christmas can be any day from Monday to Sunday. Sometimes Christmas is Monday, sometimes Christmas is Wednesday.
Which row of the following table it is belonged to? 
the true table

According to the definition, a proposition P is defined as a sentence which is either True or False, but not both. And also it doesn't depend on the time. The truth value of a proposition is true if it is a true statement, and false if it is a false statement. For example, $1+3=5$ is a proposition because one can determine its value clearly. What a nice day ! is not a proposition because one can't decide about its value. The point is even, for example, $x+3=5$ is not a proposition, however, one can determine its value when $x=2$, or when $x\neq2$.
