Axiom 1. Each line is a set of three points.Axiom 2: Each point is contained by two lines.Axiom 3: Two distinct lines intersect at exactly one point.Questions:1. What are the undefined terms in this axiom set?2. Is the axiomatic system consistent? Why? Why Not? State what specific property isthe given axiomatic system.please paki answer po ​

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Answers 1

Answer:

1. Things which are equal to the same thing are equal to one another

2. no, because an axiomatic system is consistent, if there is no statement such that both the statement and it's negation are axioms or theorems of the axiomatic system. An axiomatic system that does not have the property of consistency has no mathematical value and is generally not of interest.

Step-by-step explanation:

These are the specific property of axiomatic system:

  • consistency
  • independence
  • completeness

These are the three properties of axiomatic system. A consistent system is a system that will not be able to prove both a statement and it's negation. A consistent system will not contradict itself.

hope it helps

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