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.
The statement that the Puritans were accepting of religious diversity is not true. The Puritans were a strict religious group who sought to create a society based on their own beliefs and did not tolerate other religious practices.
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
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.
No
true the answer is true