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
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 25E: In Exercise 14-35, prove each statement. If AB, then ACBC.
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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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