﻿72:@0.035388:0.963884:0.056737:0.963884:0.056737:0.945447:0.035388:0.945447:0.000000:0.000000
Condicional, bicondicional, negación:@0.305303:0.084620:0.837591:0.084620:0.837591:0.053892:0.305303:0.053892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 5:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En matemática, las proposiciones condicionales son muy utilizadas en los teoremas. El :@0.305303:0.219256:0.881024:0.219256:0.881024:0.205010:0.305303:0.205010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
antecedente se llama hipótesis y el consecuente, tesis.:@0.305303:0.235852:0.666160:0.235852:0.666160:0.221607:0.305303:0.221607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.666158:0.236166:0.670194:0.236166:0.670194:0.220497:0.666158:0.220497:0.000000
Condicional (   ):@0.319826:0.275524:0.457154:0.275525:0.457154:0.258624:0.319826:0.258623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una implicación o proposición condicional está formada :@0.457154:0.275525:0.891823:0.275525:0.891823:0.259855:0.457154:0.259855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por dos proposiciones de esta manera p   q. Se lee “Si p, entonces q”, y es falsa :@0.316477:0.292121:0.895175:0.292121:0.895175:0.276452:0.316477:0.276452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando la primera proposición es verdadera y la segunda es falsa, en el resto de :@0.316474:0.308718:0.895184:0.308718:0.895184:0.293048:0.316474:0.293048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
casos es verdadera.:@0.316474:0.325314:0.457222:0.325314:0.457222:0.309644:0.316474:0.309644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.305303:0.359176:0.362663:0.359176:0.362663:0.344063:0.305303:0.344063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos  el  siguiente  enunciado: “Si  se  sigue  trabajando en  la  conectividad, :@0.305303:0.383214:0.907688:0.383214:0.907688:0.367544:0.305303:0.367544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces la cobertura de Internet será mayor”. Las proposiciones son::@0.305303:0.399810:0.811816:0.399810:0.811816:0.384141:0.305303:0.384141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.305303:0.423529:0.314572:0.423529:0.314572:0.407168:0.305303:0.407168:0.000000
: Se sigue trabajando en la conectividad.:@0.314572:0.423529:0.608580:0.423529:0.608580:0.407860:0.314572:0.407860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.305303:0.447248:0.314572:0.447248:0.314572:0.430887:0.305303:0.430887:0.000000
: La cobertura de Internet será mayor.:@0.314572:0.447248:0.587093:0.447248:0.587093:0.431579:0.314572:0.431579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De tal manera que el enunciado se puede expresar como:     :@0.305303:0.470967:0.766076:0.470984:0.766076:0.455314:0.305303:0.455298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.732614:0.470967:0.741883:0.470967:0.741883:0.454606:0.732614:0.454606:0.000000
q (Tabla 1):@0.766076:0.470984:0.839879:0.470984:0.839879:0.454622:0.766076:0.454622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.839879:0.470984:0.843085:0.470984:0.843085:0.455314:0.839879:0.455314:0.000000
En todos los casos resulta la proposición verdadera, excepto si se trabaja en la :@0.305312:0.494703:0.907728:0.494703:0.907728:0.479033:0.305312:0.479033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conectividad y la cobertura de Internet no mejora.:@0.305312:0.511299:0.673730:0.511299:0.673730:0.495629:0.305312:0.495629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bicondicional (   ):@0.319826:0.547097:0.471529:0.547098:0.471529:0.530198:0.319826:0.530196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Es una doble implicación o proposición bicondicional. :@0.471529:0.547098:0.891753:0.547098:0.891753:0.531428:0.471529:0.531428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Está formada por dos proposiciones de esta manera      . Se lee “  si y solo :@0.316479:0.563695:0.895151:0.563693:0.895151:0.548024:0.316479:0.548025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.709981:0.563695:0.719250:0.563695:0.719250:0.547333:0.709981:0.547333:0.000000
q:@0.745729:0.563693:0.754998:0.563693:0.754998:0.547332:0.745729:0.547332:0.000000
p:@0.816981:0.563693:0.826250:0.563693:0.826250:0.547332:0.816981:0.547332:0.000000
si  ”, y es verdadera cuando   es verdadera si y solo si   también es verdadera. :@0.316475:0.580290:0.895195:0.580290:0.895195:0.564620:0.316475:0.564620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.331733:0.580290:0.341003:0.580290:0.341003:0.563928:0.331733:0.563928:0.000000
p:@0.523473:0.580290:0.532742:0.580290:0.532742:0.563928:0.523473:0.563928:0.000000
q:@0.713757:0.580290:0.723026:0.580290:0.723026:0.563928:0.713757:0.563928:0.000000
 :@0.891086:0.580290:0.895122:0.580290:0.895122:0.564620:0.891086:0.564620:0.000000
O bien   es falsa si y solo si   también lo es.:@0.318152:0.596886:0.632930:0.596886:0.632930:0.581216:0.318152:0.581216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.371427:0.596886:0.380696:0.596886:0.380696:0.580525:0.371427:0.580525:0.000000
q:@0.517042:0.596886:0.526311:0.596886:0.526311:0.580525:0.517042:0.580525:0.000000
Ejemplo:@0.305303:0.630935:0.362663:0.630935:0.362663:0.615822:0.305303:0.615822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el siguiente enunciado “Una persona puede comprar un carro, si y solo si, es :@0.305303:0.654975:0.907631:0.654975:0.907631:0.639305:0.305303:0.639305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor de edad”, las proposiciones son::@0.305303:0.671571:0.587171:0.671571:0.587171:0.655901:0.305303:0.655901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.305303:0.695290:0.314572:0.695290:0.314572:0.678929:0.305303:0.678929:0.000000
: Una persona puede comprar un carro.:@0.314572:0.695290:0.601340:0.695290:0.601340:0.679620:0.314572:0.679620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.305303:0.719009:0.314572:0.719009:0.314572:0.702648:0.305303:0.702648:0.000000
: Es mayor de edad.:@0.314572:0.719009:0.455265:0.719009:0.455265:0.703339:0.314572:0.703339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos     , y su tabla de verdad esta en la tabla 2.:@0.305303:0.742728:0.702450:0.742744:0.702450:0.727075:0.305303:0.727058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 p:@0.372177:0.742728:0.384763:0.742728:0.384763:0.726367:0.372177:0.726367:0.000000:0.000000
q:@0.408939:0.742744:0.418208:0.742744:0.418208:0.726383:0.408939:0.726383:0.000000
Cuando  :  , significa que puede comprar el carro, y  :  significa que es mayor de :@0.305302:0.766463:0.907646:0.766463:0.907646:0.750794:0.305302:0.750794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p V:@0.367569:0.766463:0.393201:0.766463:0.393201:0.750102:0.367569:0.750102:0.000000:0.000000:0.000000
q  V:@0.688633:0.766463:0.713547:0.766463:0.713547:0.750102:0.688633:0.750102:0.000000:0.000000:0.000000:0.000000
edad. Entonces, si :   y  :  , la respuesta es verdadera.:@0.305302:0.783060:0.701013:0.783060:0.701013:0.767390:0.305302:0.767390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 p V q V:@0.435215:0.783060:0.505977:0.783060:0.505977:0.766698:0.435215:0.766698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  :   y  :  , significa que la persona no puede comprar el carro porque no es :@0.305302:0.806779:0.907719:0.806779:0.907719:0.791109:0.305302:0.791109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p V:@0.323748:0.806779:0.351389:0.806779:0.351389:0.790417:0.323748:0.790417:0.000000:0.000000:0.000000
q F:@0.371586:0.806779:0.398158:0.806779:0.398158:0.790417:0.371586:0.790417:0.000000:0.000000:0.000000
mayor de edad. Si  :   y  :  , significa que la persona no puede comprar el carro :@0.305320:0.823375:0.907644:0.823375:0.907644:0.807705:0.305320:0.807705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p F q V:@0.443877:0.823375:0.514418:0.823375:0.514418:0.807014:0.443877:0.807014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aunque sea mayor de edad.:@0.305320:0.839971:0.508260:0.839971:0.508260:0.824302:0.305320:0.824302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  :  y  :  , se interpreta que no puede comprar el carro y tampoco es mayor de :@0.305320:0.863690:0.907701:0.863690:0.907701:0.848021:0.305320:0.848021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p F  q F:@0.322218:0.863690:0.388576:0.863690:0.388576:0.847329:0.322218:0.847329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
edad, por lo tanto, el enunciado es cierto.:@0.305320:0.880287:0.607823:0.880287:0.607823:0.864617:0.305320:0.864617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo obtendrías un valor verdadero en la proposición  : Si estudio, entonces :@0.311751:0.169049:0.901323:0.169049:0.901323:0.153379:0.311751:0.153379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.731586:0.169049:0.740855:0.169049:0.740855:0.152688:0.731586:0.152688:0.000000
paso el examen? :@0.311751:0.185646:0.438054:0.185646:0.438054:0.169976:0.311751:0.169976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.344931:0.142744:0.522686:0.142744:0.522686:0.125843:0.344931:0.125843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 514764796.:@0.097434:0.414898:0.097434:0.339619:0.086046:0.339619:0.086046:0.414898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En Ecuador, la velocidad :@0.106529:0.165844:0.270835:0.165844:0.270835:0.151599:0.106529:0.151599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del Internet supera el :@0.106529:0.180932:0.252039:0.180932:0.252039:0.166687:0.106529:0.166687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
promedio regional. :@0.106529:0.196020:0.237297:0.196020:0.237297:0.181774:0.106529:0.181774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen más de :@0.106529:0.211107:0.209270:0.211107:0.209270:0.196862:0.106529:0.196862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
quince millones de :@0.106529:0.226195:0.237416:0.226195:0.237416:0.211950:0.106529:0.211950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conexiones moviles :@0.106529:0.241282:0.241854:0.241282:0.241854:0.227037:0.106529:0.227037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con amplia cobertura y :@0.106529:0.256370:0.264922:0.256370:0.264922:0.242125:0.106529:0.242125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conectividad.:@0.106529:0.271458:0.195985:0.271458:0.195985:0.257212:0.106529:0.257212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La velocidad del Internet :@0.103170:0.430952:0.255025:0.430952:0.255025:0.418132:0.103170:0.418132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
depende de diversos factores.:@0.103170:0.444531:0.269712:0.444531:0.269712:0.431711:0.103170:0.431711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.128733:0.250102:0.128733:0.250102:0.111832:0.136865:0.111832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.136865:0.145329:0.262394:0.145329:0.262394:0.128428:0.136865:0.128428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.1.:@0.096359:0.908714:0.135984:0.908714:0.135984:0.897959:0.096359:0.897959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Definir y reconocer proposiciones simples a las que se puede asignar un valor de verdad para relacionarlas entre sí con conectivos lógicos: negación, disyunción, :@0.135984:0.908714:0.906286:0.908714:0.906286:0.898743:0.135984:0.898743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunción, condicionante y bicondicionante; y formar proposiciones compuestas. :@0.096359:0.917515:0.484461:0.917515:0.484461:0.907544:0.096359:0.907544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.2.:@0.096359:0.926317:0.135984:0.926317:0.135984:0.915562:0.096359:0.915562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Definir y reconocer una tautología para la construcción de tablas de verdad. :@0.135984:0.926317:0.493946:0.926317:0.493946:0.916345:0.135984:0.916345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla 1:@0.240304:0.591319:0.276811:0.591319:0.276811:0.579420:0.240304:0.579420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla para el condicional:@0.110674:0.475402:0.269192:0.475402:0.269192:0.460289:0.110674:0.460289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.128234:0.494890:0.137649:0.494890:0.137649:0.479337:0.128234:0.479337:0.000000
q:@0.182495:0.494890:0.191876:0.494890:0.191876:0.479337:0.182495:0.479337:0.000000
p   q:@0.223639:0.494890:0.264714:0.494890:0.264714:0.479337:0.223639:0.479337:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.128684:0.514378:0.137211:0.514378:0.137211:0.500133:0.128684:0.500133:0.000000
V:@0.182929:0.514378:0.191456:0.514378:0.191456:0.500133:0.182929:0.500133:0.000000
V:@0.239920:0.514378:0.248447:0.514378:0.248447:0.500133:0.239920:0.500133:0.000000
V:@0.128684:0.533866:0.137211:0.533866:0.137211:0.519621:0.128684:0.519621:0.000000
F:@0.183314:0.533866:0.191054:0.533866:0.191054:0.519621:0.183314:0.519621:0.000000
F:@0.240306:0.533866:0.248045:0.533866:0.248045:0.519621:0.240306:0.519621:0.000000
F:@0.129070:0.553355:0.136809:0.553355:0.136809:0.539109:0.129070:0.539109:0.000000
V:@0.182912:0.553355:0.191439:0.553355:0.191439:0.539109:0.182912:0.539109:0.000000
V:@0.239904:0.553355:0.248431:0.553355:0.248431:0.539109:0.239904:0.539109:0.000000
F:@0.129070:0.572843:0.136809:0.572843:0.136809:0.558597:0.129070:0.558597:0.000000
F:@0.183314:0.572843:0.191054:0.572843:0.191054:0.558597:0.183314:0.558597:0.000000
V:@0.239904:0.572843:0.248431:0.572843:0.248431:0.558597:0.239904:0.558597:0.000000
Tabla 2:@0.240304:0.786268:0.276811:0.786268:0.276811:0.774369:0.240304:0.774369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla para :@0.154175:0.658695:0.229241:0.658695:0.229241:0.643582:0.154175:0.643582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el bicondicional:@0.134658:0.673783:0.245222:0.673783:0.245222:0.658670:0.134658:0.658670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.128242:0.693271:0.137657:0.693271:0.137657:0.677718:0.128242:0.677718:0.000000
q:@0.182503:0.693271:0.191884:0.693271:0.191884:0.677718:0.182503:0.677718:0.000000
p   q:@0.223647:0.693271:0.264705:0.693271:0.264705:0.677718:0.223647:0.677718:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.128676:0.712759:0.137203:0.712759:0.137203:0.698514:0.128676:0.698514:0.000000
V:@0.182920:0.712759:0.191447:0.712759:0.191447:0.698514:0.182920:0.698514:0.000000
V:@0.239912:0.712759:0.248439:0.712759:0.248439:0.698514:0.239912:0.698514:0.000000
V:@0.128676:0.732247:0.137203:0.732247:0.137203:0.718002:0.128676:0.718002:0.000000
F:@0.183306:0.732247:0.191045:0.732247:0.191045:0.718002:0.183306:0.718002:0.000000
F:@0.240297:0.732247:0.248037:0.732247:0.248037:0.718002:0.240297:0.718002:0.000000
F:@0.129061:0.751735:0.136801:0.751735:0.136801:0.737490:0.129061:0.737490:0.000000
V:@0.182904:0.751735:0.191430:0.751735:0.191430:0.737490:0.182904:0.737490:0.000000
F:@0.240280:0.751735:0.248020:0.751735:0.248020:0.737490:0.240280:0.737490:0.000000
F:@0.129045:0.771223:0.136784:0.771223:0.136784:0.756978:0.129045:0.756978:0.000000
F:@0.183289:0.771223:0.191028:0.771223:0.191028:0.756978:0.183289:0.756978:0.000000
V:@0.239878:0.771223:0.248405:0.771223:0.248405:0.756978:0.239878:0.756978:0.000000
Cuando las dos proposiciones sean verdaderas.:@0.443964:0.183831:0.663625:0.183831:0.663625:0.173860:0.443964:0.173860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000