Use the axiomatic system of Example 1 a. What is the smallest positive number of points on
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Question:
Use the axiomatic system of Example 1
a. What is the smallest positive number of points on a model of the system? Repeat for lines and explain your answers. Find a model with the minimum number of points and lines.
b. Find a model with six points not isomorphic to any models presented in the text. Explain why it is not isomorphic to any of them.
c. Two nonisomorphic models with nine points. Explain why they are not isomorphic.
d. Find and prove a theorem of this system.
Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
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