Each of the "following" statement is neither true nor false.
False
A statement that can be proven true or false. Not a question, not a command, and not an opinion.
Since Mexico was colonized by the Spanish, the statement: "Based on modern demographic information, Mexico was explored by the Portuguese and the French." is false.
No, this is false.
There were actually NO peace negotiations in the Korean war, they just signed a ceasefire. Out!
If the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then "This statement is false" is true, making the statement false. But if the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then... It's one of the biggest paradoxes ever, just like saying, "I'm lying right now."
Russia's absence from the negotiations
france
Yes
false
Yes, a statement can be true or false but without knowing what the statement is no-one can possibly say whether it is true or it is false.
Kissinger
Paris
Former beligerent.
A counterexample is a specific case in which a statement is false.
Let us consider "This statement is false." This quotation could also be read as "This, which is a statement, is false," which could by extent be read as "This is a statement and it is false." Let's call this quotation P. The statement that P is a statement will be called Q. If S, then R and S equals R; therefore, if Q, then P equals not-P (since it equals Q and not-P). Since P cannot equal not-P, we know that Q is false. Since Q is false, P is not a statement. Since P says that it is a statement, which is false, P itself is false. Note that being false does not make P a statement; all things that are statements are true or false, but it is not necessarily true that all things that are true or false are statements. In summary: "this statement is false" is false because it says it's a statement but it isn't.