  These logical relationships were all in dispute during the twelfth century. (Iwakuma 2004b presents these distinctions and discusses William's role in the debate.) Logicians at that time attributed much more significance to the distinction between arguments and conditionals, and most did not accept what we would now recognize as the formal rules of material implication. Along these lines, several views were attributed to William as characteristic of his logical program, but his arguments in the available texts do not reflect what others say about him. So, once again, the extent of William's influence is unclear.