Correlative based fallacies are logical fallacies based on correlative conjunctions. A correlative conjunction is a relationship between two statements where one must be false and the other true. In formal logic this is known as the exclusive or relationship. Examples of correlatives are:
A: Object one is larger than object two. B: Object one is smaller or the same size as object two.
A: Fido is a dog. B: Fido is not a dog.
Fallacies based on correlatives are:
The false dilemma or false correlative. Here something which is not a correlative is treated as a correlative, excluding some other valid possibility.
The fallacy of denying the correlative, where an attempt is made to introduce some other invalid option into what is a true correlative.
The fallacy of suppressed correlative, where the definitions of a correlative are changed so that one of the options includes the other, making one option impossible.