the cube of opposition: the interrelations of infinites

some contemporary logicians have introduced a new simple method of logical consequences and reduced all immediate arguments to conversion and obversion. by dint of positive and infinite terms one of the logicians reza akbari increased the four traditional quantified propositions to 32 ones: the 4 well known positives 4 subject infinites 4 predicate infinites 4 two sided infinites and the same 16 with ‘a’ and ‘b’ in which converted. akbari also stated among some of the 32 propositions the interrelations: the opposition square conversion conversion by contradiction obversion inversion and two new relations: “contraposition of the subject” and the “unknown”. this theory extending the classical 4 quntified theory can be named “32 quntified theory”. in this paper i show that the 32 propositions are equivalent four by four hence we can reduce the 32 propositions to 8 ones and their relations to the six: equivalence implication inconsistency inclusive ‘or’ exclusive ‘or’ and none (which is the same as akbari’s “unknown”. by this i decrease the perplexities of the theory and express so easily and elegantly the relations between the eight in a cube similar to the “square of opposition ” which i call the “cube of opposition.”