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statement that is assumed to be true without proof is . A statement that has been shown to be true by vigorous application of logic is . is a statement that is believed to be true but hasn't been proven.

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An axiom is a statement that is assumed to be true without proof.

What are the types of statements?

In logic, a statement could be shown to be valid or true by the use of premises that lead to a sound conclusion.

The following terms can be used to describe the statements;

  • Axiom -  a statement that is assumed to be true without proof
  • Theorem - a statement that has been shown to be true by vigorous application of logic
  • Hypothesis -  a statement that is believed to be true but hasn't been proven.

Learn more about mathematical statements:https://brainly.com/question/17029275?

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