Consider the following axiom system in which student, committee and “on” are the undefined terms. Axiom 1. There exists exactly four students. Axiom 2. Any two distinct student have exactly one committee on both

Consider the following axiom system in which student, committee and “on” are the undefined terms. Axiom 1. There exists exactly four students. Axiom 2. Any two distinct student have exactly one committee on both

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Consider the following axiom system in which student, committee and “on” are the undefined terms.

Axiom 1. There exists exactly four students.

Axiom 2. Any two distinct student have exactly one committee on both of them.

Axiom 3. Each committee is on exactly two students.

Test the independence of the axiom system

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