backup test

For convenience, I’ll repeat the sentence in question, immediately below this one. This sentence is false. The sentence in bold-face immediately above this one is not true, and is not false. It is “undecidable,” and has no “truth value.” The reason is rooted in its self-referential nature. Here it is: According to classical Aristotelian logic, what we call “common sense,” a statement cannot be both true and false. It must be one or the other. If the sentence we’re considering is true, then it is false (after all, that’s what it directly states, that it is a false sentence). It's impossible for a sentence to be both true and false, and so we can rule out the possibility that the sentence is true. So, the sentence in question must be false (which aside from "true," our initial assumption, is the only remaining alternative). However, the sentence in question cannot be false either. If the sentence is false, then it is a lie, and the opposite of what it states mus...

For convenience, I’ll repeat the sentence in question, immediately below this one. This sentence is false. The sentence in bold-face immediately above this one is not true, and is not false. It is “undecidable,” and has no “truth value.” The reason is rooted in its self-referential nature. Here it is: According to classical Aristotelian logic, what we call “common sense,” a statement cannot be both true and false. It must be one or the other. If the sentence we’re considering is true, then it is false (after all, that’s what it directly states, that it is a false sentence). It's impossible for a sentence to be both true and false, and so we can rule out the possibility that the sentence is true. So, the sentence in question must be false (which aside from "true," our initial assumption, is the only remaining alternative). However, the sentence in question cannot be false either. If the sentence is false, then it is a lie, and the opposite of what it states mus...

For convenience, I’ll repeat the sentence in question, immediately below this one. This sentence is false. The sentence in bold-face immediately above this one is not true, and is not false. It is “undecidable,” and has no “truth value.” The reason is rooted in its self-referential nature. Here it is: According to classical Aristotelian logic, what we call “common sense,” a statement cannot be both true and false. It must be one or the other. If the sentence we’re considering is true, then it is false (after all, that’s what it directly states, that it is a false sentence). It's impossible for a sentence to be both true and false, and so we can rule out the possibility that the sentence is true. So, the sentence in question must be false (which aside from "true," our initial assumption, is the only remaining alternative). However, the sentence in question cannot be false either. If the sentence is false, then it is a lie, and the opposite of what it states mus...