中科新闻网半妖倾城李一桐服饰:逻辑题：Determine whether each of this argument is valid .
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Determine whether each of this argument is valid . If an argument is correct , what rule of inference is being used ? If it is not , what logical error occurs?
The number㏒23 is irrational if it is not the ratio of two integers . Therefore , since ㏒23 cannot be written in the form a/b where a and b are integers , it is irrational .
The number㏒23 is irrational if it is not the ratio of two integers . Therefore , since ㏒23 cannot be written in the form a/b where a and b are integers , it is irrational .
This argument is incorrect. The statement “log23 cannot be written in the form a/b where a and b are integers” occurs in the proof. No argument has been given to show that log23 cannot be written in the form a/b where a and b are integers. This is circular reasoning because this statement is equivalent to the statement being proved, namely, “The number log23 is irrational”.
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