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Q: Which of these is a statement that can be proven to be true?

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theorem

True

False. It is proven to be true IF some axioms are assumed to be true. A mathematical statement can be proven to be true only after some axioms have been assumed.

Theorem

A statement that can be proven true or false. Not a question, not a command, and not an opinion.

A statement which appears to be true but has not been proven to be so, is a postulate.

Theorem: A Proven Statement. Postulate: An Accepted Statement without Proof. They mean similar things. A postulate is an unproven statement that is considered to be true; however a theorem is simply a statement that may be true or false, but only considered to be true if it has been proven.

Such a statement is called a theorem.true

Every statement apart from the axioms or postulates.

false A statement of belief or feeling that cannot be proven true or false is a theory. This too is false, since a theory can be proven true or false through experimentation. I believe the word you are looking for is 'opinion'.

Diagram

theorem

Theorem

Theorem

A testable prediction is a statement that is either proven true or proven false in a scientific experiment. It is also known as a hypothesis.

Neither. A theorem is a proven mathematical statement. This says nothing about how easily it can be proven. e.g. the Pythagorean Theorem is easily proven, but Fermat's Last Theorem is extremely difficult to prove.

It must be proven to be true by several different individuals not known to each other.

In maths, a conjuncture is a theory or statement which is most likely true but not yet proven.

A postulate is a statement that is assumed or believed to be true but it may turn out not to be. A theorem has been proven to be true, based on axioms.

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.

statements that can be proven as true or false. Signal words or phrases such as "according to", "said by" , and "stated by" are used

A statement of undisputed of undisputed facts is the facts about a case that do not need to be argued or proven by either party. Both parties agree that they are true.

theorem

A rule that is assumed to be true, but is not proven is a postulate

False, a statement that can be tested is a hypothesis. In a hypothesis "if...then..." format, one is presenting a possible solution to a question. A law is a proven statement or idea.