What does it mean for a system to be consistent? Is incidence geometry consistent? What does...

What does it mean for a system to be consistent? Is incidence geometry consistent? What does it mean for a system to be complete? Is incidence geometry complete?

Expert Solution

(1) Consistent and Dependent Systems. ... If a consistent system has exactly one solution, it is independent . If aconsistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If asystem has no solution, it is said to be inconsistent .

[2] In mathematical logic and metalogic, a formal system is called complete with respect to a particular property if every formula having the property can be derived using that system, i.e. is one of its theorems; otherwise the system is said to be incomplete.

milcah answered 2 years ago

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