An extrinsic relation between p and q is a relation brought about by a relator R which is added to p and/or q. What is excluded by this definition is that R be inherent to either p or q. For extrinsic interpropositional relations, this means that the relation either remains uncoded (in the case of asyndesis) or it is coded by a connective.
Attention focuses on relations between propositional objects up to the level of typed propositions. However, extrinsic relations may also obtain between speech acts and even between utterances of different speakers. Examples are in – .
| . | You better hurry up. Or do you have unlimited time? |
| . | You better hurry up. For what will you do if she arrives before you? |
| . | By tonight, everything must be finished. So hurry up! |
features a disjunction between two speech acts. In , the rhetorical question of the second sentence provides a reason for the directive speech act of the first sentence. In , it is the assertion of the first sentence which provides the reason for the following directive speech act. Thus, in these latter cases, the interpropositional relation is a causal one.
Extrinsic interpropositional relations are subdivided as follows: