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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.

Answer & Explanation Solved by verified expert
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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    See Answer
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