A statement that can be proved true is a mathematical proposition such as "The sum of two even numbers is always even." This can be demonstrated through logical reasoning or examples, as any two even integers can be represented as 2n and 2m (where n and m are integers), and their sum (2n + 2m) is 2(n + m), which is also an even number. Thus, the statement holds true under the rules of arithmetic.
fact
true
Must Be Proved Before They Can Be Accepted As True
false
false
fact
fact
true
FALSE
observation proved the theory true.
Must Be Proved Before They Can Be Accepted As True
false
false
true
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
A statement which is self-evidently true; one that cannot be proved.
FALSE