Quiz (Axiomatic Method)

    All of the following poofs should be done in the column format.

(1) Assume the following:

    Definition: axiomatic method quiz _gr_1.gif] is said to be b iff axiomatic method quiz _gr_2.gif]
    Axiom 1: axiomatic method quiz _gr_3.gif]    
    Theorem 1: If axiomatic method quiz _gr_4.gif] is axiomatic method quiz _gr_5.gif] then axiomatic method quiz _gr_6.gif]    
    Theorem 2: axiomatic method quiz _gr_7.gif]

Prove the following theorem:  Theorem: If axiomatic method quiz _gr_8.gif] is axiomatic method quiz _gr_9.gif] then axiomatic method quiz _gr_10.gif] is axiomatic method quiz _gr_11.gif]
    
(2) Assume the following:

    Theorem 1: axiomatic method quiz _gr_12.gif]     
    Theorem 2: If axiomatic method quiz _gr_13.gif] then either axiomatic method quiz _gr_14.gif] or axiomatic method quiz _gr_15.gif]
    
Prove the following theorem. Theorem: axiomatic method quiz _gr_16.gif]
    
(3) Suppose axiomatic method quiz _gr_17.gif] implies either axiomatic method quiz _gr_18.gif] or axiomatic method quiz _gr_19.gif] and assume the following theorems

    Theorem 1: axiomatic method quiz _gr_20.gif]    
    Theorem 2: axiomatic method quiz _gr_21.gif]        
    Theorem 3: axiomatic method quiz _gr_22.gif]
    Theorem 4: axiomatic method quiz _gr_23.gif]
    
Prove the following theorem. Theorem: axiomatic method quiz _gr_24.gif]
    
(4)  Assume the following:

    Axiom 1: axiomatic method quiz _gr_25.gif]
    Axiom 2: axiomatic method quiz _gr_26.gif]
    Theorem 1: axiomatic method quiz _gr_27.gif]
    Theorem 2: axiomatic method quiz _gr_28.gif]
    Theorem 3: axiomatic method quiz _gr_29.gif]        
    
Prove the following theorem. Theorem: axiomatic method quiz _gr_30.gif]     

Cite this as:
Axiomatic Method Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/axiomatic-method-quiz.html
 
    
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