Distinction without a difference

A distinction without a difference is a type of logical fallacy where an author or speaker attempts to describe a distinction between two things where no discernible difference exists. It is particularly used when a word or phrase has connotations associated with it that one party to an argument prefers to avoid.

For example, a person might say "I did not lie; I merely stretched the truth a little bit."

Form of the fallacy

 * Claim X is made where the truth of the claim requires a distinct difference between A and B.
 * There is no distinct difference between A and B.
 * Therefore, claim X is incorrectly claimed to be true.

Example

 * Sergio: There is no way I would ever even consider taking dancing lessons.
 * Kitty: How about I ask my friend from work to teach you?
 * Sergio: If you know someone who is willing to teach me how to dance, then I am willing to learn, sure.