A statement which appears to be true but has not been proven to be so, is a postulate.
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∙ 7y agoA proof uses postulates and theorems to prove some statement.
It is a consequence of Euclid's parallel postulate. In fact, in some versions, the statement that "a plane triangle has interior angles that sum to 180 degrees" replaces the parallel postulate.
Could you please specify which postulate you are referring to?
There are many kinds of statement that are not theorems: A statement can be an axiom, that is, something that is assumed to be true without proof. It is usually self-evident, but like Euclid's parallel postulate, need not be. A statement need not be true in all circumstances - for example, A*B = B*A (commutativity) is not necessarily true for matrix multiplication. A statement can be false. A statement can be self-contradictory for example, "This statement is false".
Conjecture: a statement which may or may not be true.Postulate: a statement that is believed to be true, but may not be.Theorem: a statement that has been proved to be true provided some postulates are true.Corollary: a statement whose truth follows from the truth of a theorem, but one which is not important enough to call it a theorem.
No. A postulate need not be true.
False...A postulate is a statement that does not require proof! P.S.: I know this is late, but I hope it helps!
Postulate
A Postulate
A postulate or axiom is an accepted statement of fact.
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A postulate
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A postulate or axiom
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theorem
A good postulate is a statement which appears to be true, and perhaps can be shown to be true in simple cases, but which has not yet been proven.