The prisoner said "I will be hanged", which could only be true if it were false so they had to release him...
Sure! Here are a few examples of paradoxes: The liar paradox: "This statement is false." The grandfather paradox: If you went back in time and prevented your grandfather from meeting your grandmother, would you still exist? The unexpected hanging paradox: A judge tells a prisoner he will be hanged at noon on one weekday in the next week, but the hanging will be a surprise - can the prisoner be sure he won't be hanged?
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."
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.
It is ALWAYS wrong to knowingly make a false statement. It becomes illegal and a violation of the law depending on what the false statement is about or pertains to. There are several statutes both civil and criminal which make it a crime to make false statements and the punishment depends upon the circumstances.
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.
False. A declaration is a public statement.
A counter example is a statement that shows conjecture is false.
false
The below statement is false. The above statement is true. I am lying. I am lying when I say I am lying.
Yes, you can be convicted.The issue there is whether the police were acting on the statement in good faith or if they knew the statement to be false. If the police were not acting in good faith (eg suborning perjury to obtain the statement), or failed to obtain a warrant at all, any evidence obtained from that search may be deemed to be inadmissible. But generally one person's statement would not be enough for the police to obtain a warrant but also some sort of actual evidence.
false