A statement that can be proved true is known as a theorem or a proposition in mathematics. For example, the Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This can be rigorously demonstrated using geometric principles and algebra. Thus, it is a statement that holds true under specified conditions.
fact
true
Must Be Proved Before They Can Be Accepted As True
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false
fact
fact
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FALSE
observation proved the theory true.
Must Be Proved Before They Can Be Accepted As True
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true
A statement that can be proved to be true or false is known as a proposition in logic. For example, the statement "The Earth orbits the Sun" is a proposition that can be verified as true. Conversely, the statement "All swans are white" can be proven false by the existence of black swans. These statements are distinct from opinions or questions, which cannot be categorized as true or false.
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
FALSE