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Question

What is the main difference between a formal proof and a rigorous proof?

a.

A formal proof relies on the understanding of the reader to accept its correctness, while a rigorous proof is entirely justified by the rules of the mathematical language.

b.

A formal proof is represented within a mathematical language, while a rigorous proof occurs within a natural language.

c.

A formal proof contains full details of the argument, while a rigorous proof leaves out some details while still maintaining acceptance.

d.

A formal proof is commonly used for verification, while a rigorous proof is used for validation.

Answer: (c).A formal proof contains full details of the argument, while a rigorous proof leaves out some details while still maintaining acceptance. Explanation:The main difference between a formal proof and a rigorous proof is that a formal proof contains full details of the argument, while a rigorous proof leaves out some details while still maintaining acceptance.

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Q. What is the main difference between a formal proof and a rigorous proof?

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