Exercises for Chapter VIII

Graphic Representation

Claudio Gutierrez and Luis G. Coronado

Translated from Spanish by Inés Gutiérrez


  1. Formalize in the two possible ways these propositions from ordinary language; use “W”, “U”, “V” to represent the atomic propositions.

    1. High school education should be within everyone’s reach, but its teachers should be of the highest possible quality.

    2. Today I will study a little unless I go to the movies.

    3. I do not believe in your assertion and neither in Robert’s.

    4. It is not the case that it rains and the streets do not get wet.

    5. I will pass the philosophy course in case I do a lot of work during the year.

    6. This is gold only if it is malleable, but also ductile.

  2. Form the negation of each of the formulae in the previous exercise (by mirror imaging).

  3. If “W”and “Y” symbolize true propositions, and “V”, “U” false propositions, indicate if the following formalized propositions are true or false.

    a.       
                                                                                    a.       
                   
                   
     
    b.       
                                                                                    b.       
       
           
           
       
       
           
           
       
     
    c.       
                                                                                    c.       
               
     
    d.       
                                                                                    d.       
                   
     
    e.       
                                                                                    e.       
       
           
           
       
       
           
       
     
    f.       
                                                                                    f.       
               
     

    g.       
                                                                          g.                  
           
     

  4. Indicate what formulae from the second list of the previous exercise correspond to the same proposition represented by any one of the formulae from the first list.

    Copyright © 1968-2006 Claudio Gutierrez and Luis G. Coronado