Question 198345
Here's a simple statement: "I went to the movies". The reason it is a simple statement is that it is either true or false (but not both) and there's no confusion involved (ie I either went to the movies, or I'm lying)



Now negate it by simply sticking a "it is not the case that" in front to get


"It is not the case that I went to the movies". Normally, we don't talk like this, so we might say "I did NOT go to the movies", but the first way is usually how logic text books handle negations.


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So let's say that I didn't go to the movies. So the original simple statement "I went to the movies" is false. This would mean that the negated statement "I did NOT go to the movies" is true.



On the other hand, if I did in fact go, then the simple statement "I went to the movies" is true while the negation "I did NOT go to the movies" is false (think of it as not not going, or a double negation).