Below are three examples of axiomatic systems for a collection of committees selected a from a set of people. In each case, (a) determine whether the axiomatic system is consistent or inconsistent. If it is consistent, (b) determine whether the system is independent or redundant, (c) complete or incomplete.
Axiom 1: There is a finite number of people.
Axiom 2: Each committee consists of exactly two people.
Axiom 3: Exactly one person is an odd number of committees​