I actually had a subject (Logic) back in my college years wherein we have tackled this sentence. So, it's kinda easier for me to answer, or atleast, easier for me to compose an essay. The sentence above is a sample of the liar paradox. The sentence is paradoxical because there is no way to assign them a consistent truth value. If "This sentence is false" is true, then what it says is the case; but what it says is that it is false, hence it is false. On the other hand, if it is false, then what it says is not the case; thus, since it says that it is false, it must be true.