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  3. consider the following axiom set axiom 1 every team plays...

Question: consider the following axiom set axiom 1 every team plays...

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Consider the following axiom set Axiom 1. Every team plays at least two games Axiom 3. There exists at least one team. ·Axiom 2. Every gaine has at least two teams. 1. What are the undefined terms in this axiom set? 2. Prove Theorem 1. There exists at least one game 3. What is the minimum number of games? Prove 4. Find two models that show that the statement There are exactly two teams is independent of the axioms 5. Find two models that show that the statement Every team plays every oher team is independent of the axioms
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