This question was inspired by Three statements that contradict each other
I’m wondering if there is any set of 4 statements that contradict each other when taken as a whole, but any combined 3 of those statements do not have a contradiction.
If the above is possible, is there always at least 1 set of n number of statements that when taken as a whole are contradictory, and all groups of n-1 statements in that set are not contradictory for all n values?