  William accepted that (1) and (2) are equivalent, but not for any metalogical reason. He thought that syllogisms were phrases (orationes) that contain the senses of several other sentences. The view attributed to William is that syllogisms and arguments are, as he puts it "subcontinuatives" [subcontinuativa] containing other sentences. ‘Socrates is a man; therefore, Socrates is an animal’ contains the sense of the sentences ‘Socrates is a man’, ‘Socrates is an animal’ and, ‘If Socrates is a man, then Socrates is an animal’ (B9 2.1 ed. Iwakuma 2004b: 102; this is the same text as Green-Pedersen 1974, frag 2). William calls the contained sentences ‘continuatives [continuativa]’. He also treats all syllogisms as conditionals of type (2) rather than type (3). There is no argument for his preference, at least not in the Introductions, and none of the available sources give his reasons.  At present all that can be said is that William seems to have had a hand in the origins of a debate that raged during the twelfth century and was not revived until the twentieth.