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Statements that require proof are typically those that assert a mathematical or logical truth that is not immediately obvious or self-evident. This includes conjectures, theorems, and propositions that need to be validated through deductive reasoning or empirical evidence. Additionally, any claims that involve complex relationships or properties in a given domain often necessitate rigorous proof to establish their validity. In essence, any assertion that goes beyond basic definitions or established facts generally requires a proof.

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2d ago

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Related Questions

What are the statements that require proof in a logical system?

The statements that require proof in a logical system are theorems and corollaries.


What are statements that require proof in logical a system?

The statements that require proof in a logical system are theorems and corollaries.


Are Postulates statements which require proof?

no


What do you call a statement in geometry that requires proof?

Theorems are statements in geometry that require proof.


Do axioms and postulates require proof?

No. Axioms and postulates are statements that we accept as true without proof.


Postulates are statements the require proof true or false?

False


Which of the following are statements that require proof in a logical system?

Corollaries,TheoremsCorollaries, Theorems


Is it true that postulates are statements that require proof?

No, that statement is not true. Postulates, also known as axioms, are fundamental statements or assumptions in mathematics and logic that are accepted as true without proof. They serve as the starting points for further reasoning and theorems. In contrast, theorems are statements that require proof based on postulates and previously established results.


What is postulate?

Postulates are assumed truths that are used as the bases for reasoning, beliefs and discussions. These statements do not often require proof.


Which kind of proof combines statements and reason into proof?

paragraph proof


What can be used to justify a statement in a geometric proof?

definition,postulate,theorem,& CorollaryDefinition, Theorem, Corollary, and PostulateA.PostulateB.DefinitionD.Algebraic property(answers for apex)a and cpostulate, theorem, and definition


What types of statements cannot justify the steps of a proof?

Logically invalid statements.