 The realm of relations was a frontier where De Morgan did much of his creative and novel work on  logic.[4]  However, his inquiry on the topic resides within the patterns of traditional  syllogisms.[5]  Even more importantly, De Morgan did not have enough tools to formalize this newly extended  realm.[6]  Hence, not surprisingly De Morgan’s relations are rather limited to a certain group which fit in syllogistic reasoning. As Merrill points out, 