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Use models to show that each of the incidence axioms is independent of the other three....

Use models to show that each of the incidence axioms is independent of the other three.

Axiom 1: There exists at least 3 distinct noncollinear points

Axiom 2: Given any two distinct points, there is at least one line that contains both of them

Axiom 3: Given any two distinct points, there is at most one line that contains both of them

Axiom 4: Given any line, there are at least two distinct points that lie on it.

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