Question: Defined terms: Two lines are said to be parallel if and only if no point incident with both of them. AXIOMS: Axiom 1. Any

Defined terms: Two lines are said to be parallel if and only

Defined terms: Two lines are said to be parallel if and only if no point incident with both of them. AXIOMS: Axiom 1. Any two distinct points determine a unique line Axiom 2. Any line is incident with at least two points. Axiom3. There is exactly 4 distinct points. Axiom 4. No line incident with all points. Is the following statement independent from this Axiom System? Explain why? i. S: No parallel lines exists. ii. Is this axiom system categorical? Explain. iii. Is it a complete axiom system? Explain.

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