Use models to show that each of the following statements is
independent of the axioms of...
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Advance Math
Use models to show that each of the following statements isindependent of the axioms of incidence geometry:
(a) Given any line, there are at least two distinct points thatdo not lie on it.
(b) Given any point, there are at least three distinct linesthat contain it.
(c) Given any two distinct points, there is at least one linethat does not contain either of them.
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The axiom of incidence between points and lines aregiven belowThere are at least two distinct points There is one and only one line that contains two distinctpointsEvery line contains
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