False analogy

This fallacy causes one to wrongly reject a something on a vague claim.

False continuum

Is the use of an analogy to support an argument, but in conclusion the differences in the objects prevents the analogy from supporting the argument.

Ex. Fred isn’t bald now, and if he loses one hair, that won’t make him go from not bald to bald either. If he loses one more hair, that also does not make him go from not bald to bald. Therefore, no matter how much hair he loses, he can never be called bald.