11. Consider the following axiomatic system. • Axiom 1: Every ant has at least two paths. • Axiom 2: Every path has at l
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11. Consider the following axiomatic system. • Axiom 1: Every ant has at least two paths. • Axiom 2: Every path has at l
11. Consider the following axiomatic system. • Axiom 1: Every ant has at least two paths. • Axiom 2: Every path has at least three ants. • Axiom 3: There exists at least one ant. • Axiom 4: No path shares more than two ants with any other path. (a) (6 points) Find two non-isomorphic models for this axiomatic system. (b) (7 points) Prove or Disprove: There are at least three paths.
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