90:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
2:@0.054279:0.122645:0.076231:0.122645:0.076231:0.065614:0.054279:0.065614:0.000000
Actividad resuelta:@0.115209:0.644990:0.272331:0.644990:0.272331:0.626553:0.115209:0.626553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos:@0.115209:0.664837:0.203754:0.664837:0.203754:0.648213:0.115209:0.648213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las siguientes situaciones::@0.203754:0.664837:0.394939:0.664837:0.394939:0.648448:0.203754:0.648448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.115209:0.688556:0.137746:0.688556:0.137746:0.671655:0.115209:0.671655:0.000000:0.000000:0.000000:0.000000
Sabemos :@0.148452:0.688556:0.218993:0.688556:0.218993:0.672167:0.148452:0.672167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que si está lloviendo, debe haber nubes. :@0.218809:0.688556:0.487834:0.688556:0.487834:0.672195:0.218809:0.672195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.708720:0.119245:0.708720:0.119245:0.692332:0.115209:0.692332:0.000000
De otras formas: :@0.148452:0.708720:0.271160:0.708720:0.271160:0.692332:0.148452:0.692332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.148452:0.732439:0.158035:0.732439:0.158035:0.715539:0.148452:0.715539:0.000000:0.000000
Una condición suficiente para que haya :@0.181696:0.732439:0.491520:0.732439:0.491520:0.716051:0.181696:0.716051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nubes es que esté lloviendo (siempre que :@0.181696:0.749036:0.491564:0.749036:0.491564:0.732647:0.181696:0.732647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está lloviendo hay nubes).:@0.181696:0.765632:0.371996:0.765632:0.371996:0.749243:0.181696:0.749243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.148452:0.785797:0.158035:0.785797:0.158035:0.768896:0.148452:0.768896:0.000000:0.000000
Que haya nubes es una condición nece-:@0.181696:0.785797:0.487502:0.785797:0.487502:0.769408:0.181696:0.769408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saria para que esté lloviendo (entiéndase :@0.181696:0.802393:0.491575:0.802393:0.491575:0.786004:0.181696:0.786004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesaria, no suficiente: puede haber nu-:@0.181696:0.818990:0.487517:0.818990:0.487517:0.802601:0.181696:0.802601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bes y no estar lloviendo).:@0.181696:0.835586:0.363354:0.835586:0.363354:0.819197:0.181696:0.819197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.855750:0.119245:0.855750:0.119245:0.839362:0.115209:0.839362:0.000000
Esto puede escribirse en forma proposicional :@0.148452:0.855750:0.491518:0.855750:0.491518:0.839362:0.148452:0.839362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así::@0.148452:0.872347:0.170750:0.872347:0.170750:0.855958:0.148452:0.855958:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.896066:0.119245:0.896066:0.119245:0.879677:0.115209:0.879677:0.000000
está lloviendo       hay nubes:@0.217630:0.896066:0.418325:0.896066:0.418325:0.879705:0.217630:0.879705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.320603:0.896744:0.338791:0.896744:0.338791:0.881171:0.320603:0.881171:0.000000
Condicional ( ).:@0.115209:0.167748:0.246819:0.167748:0.246819:0.150847:0.115209:0.150847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.218735:0.168426:0.236923:0.168426:0.236923:0.152853:0.218735:0.152853:0.000000
 Una implicación o proposición condicional está formada por dos proposiciones de esta :@0.246819:0.167748:0.883862:0.167748:0.883862:0.151359:0.246819:0.151359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manera :@0.115209:0.184344:0.175320:0.184344:0.175320:0.167955:0.115209:0.167955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p   q:@0.175007:0.184344:0.217851:0.184344:0.217851:0.167983:0.175007:0.167983:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.187335:0.185022:0.205523:0.185022:0.205523:0.169449:0.187335:0.169449:0.000000
. Se lee “Si   entonces  ”, y es falsa cuando la primera proposición es verdadera y la segunda :@0.217851:0.184344:0.883866:0.184344:0.883866:0.167955:0.217851:0.167955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.291491:0.184344:0.300760:0.184344:0.300760:0.167983:0.291491:0.167983:0.000000
q:@0.376314:0.184344:0.385583:0.184344:0.385583:0.167983:0.376314:0.167983:0.000000
es falsa.:@0.115209:0.200941:0.170602:0.200941:0.170602:0.184552:0.115209:0.184552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p   q:@0.115209:0.224660:0.158569:0.224660:0.158569:0.208298:0.115209:0.208298:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.127795:0.225337:0.145983:0.225337:0.145983:0.209764:0.127795:0.209764:0.000000
Significa que::@0.115209:0.248379:0.212673:0.248379:0.212673:0.231990:0.115209:0.231990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.115209:0.272098:0.124478:0.272098:0.124478:0.255736:0.115209:0.255736:0.000000
  es suficiente para que ocurra  : Siempre que ocurra   ocurrirá  .:@0.124478:0.272098:0.599423:0.272098:0.599423:0.255709:0.124478:0.255709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.347744:0.272098:0.357013:0.272098:0.357013:0.255736:0.347744:0.255736:0.000000
p:@0.513017:0.272098:0.522286:0.272098:0.522286:0.255736:0.513017:0.255736:0.000000
q:@0.586947:0.272098:0.596216:0.272098:0.596216:0.255736:0.586947:0.255736:0.000000
q:@0.115209:0.295817:0.124478:0.295817:0.124478:0.279455:0.115209:0.279455:0.000000
  es necesario para que ocurra  .:@0.124478:0.295817:0.359666:0.295817:0.359666:0.279428:0.124478:0.279428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.347191:0.295817:0.356460:0.295817:0.356460:0.279455:0.347191:0.279455:0.000000
Condicional, bicondicional, tautología y contradicción:@0.115891:0.141978:0.878498:0.141978:0.878498:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.1. Definir y reconocer proposiciones simples a las que se puede asignar un valor de verdad para relacionarlas entre sí con conectivos lógicos: negación, :@0.125388:0.064786:0.877723:0.064786:0.877723:0.054357:0.125388:0.054357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
disyunción, conjunción, condicionante y condicionante; y formar proposiciones compuestas. :@0.125388:0.075348:0.560254:0.075348:0.560254:0.064918:0.125388:0.064918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.2. Definir y reconocer una tautología para la construcción de tablas de verdad.:@0.125388:0.085909:0.515235:0.085909:0.515235:0.075480:0.125388:0.075480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.507677:0.666009:0.527708:0.666009:0.527708:0.649108:0.507677:0.649108:0.000000:0.000000:0.000000
“Un número       es par si y solo si es múltiplo :@0.540921:0.666009:0.883943:0.666009:0.883943:0.649620:0.540921:0.649620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.633077:0.666009:0.642586:0.666009:0.642586:0.649647:0.633077:0.649647:0.000000
N:@0.661355:0.665151:0.675692:0.665151:0.675692:0.652289:0.661355:0.652289:0.000000
de 2” :@0.540931:0.682605:0.580550:0.682605:0.580550:0.666216:0.540931:0.666216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p n:@0.540931:0.702770:0.566951:0.702770:0.566951:0.686408:0.540931:0.686408:0.000000:0.000000:0.000000
:       es par:@0.550200:0.702770:0.649349:0.702766:0.649349:0.686377:0.550200:0.686381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
N:@0.587156:0.701908:0.601492:0.701908:0.601492:0.689046:0.587156:0.689046:0.000000
 :@0.507677:0.722930:0.511713:0.722930:0.511713:0.706542:0.507677:0.706542:0.000000
q n:@0.540921:0.722930:0.566940:0.722930:0.566940:0.706569:0.540921:0.706569:0.000000:0.000000:0.000000
:   es múltiplo de dos.:@0.550190:0.722930:0.709773:0.722930:0.709773:0.706542:0.550190:0.706542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  :@0.574911:0.748015:0.601062:0.748015:0.601062:0.732651:0.574911:0.732651:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.579954:0.748015:0.589084:0.748015:0.589084:0.732651:0.579954:0.732651:0.000000
n:@0.556500:0.760588:0.565714:0.760588:0.565714:0.745224:0.556500:0.745224:0.000000
 es par:@0.565714:0.760588:0.612554:0.760588:0.612554:0.745224:0.565714:0.745224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  :@0.699130:0.748015:0.725281:0.748015:0.725281:0.732651:0.699130:0.732651:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.704173:0.748015:0.713303:0.748015:0.713303:0.732651:0.704173:0.732651:0.000000
n:@0.644819:0.760588:0.654033:0.760588:0.654033:0.745224:0.644819:0.745224:0.000000
 es múltiplo de 2:@0.654033:0.760588:0.772657:0.760588:0.772657:0.745224:0.654033:0.745224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p :@0.813298:0.754301:0.825494:0.754301:0.825494:0.738937:0.813298:0.738937:0.000000:0.000000
↔:@0.825494:0.754917:0.842950:0.754917:0.842950:0.740760:0.825494:0.740760:0.000000
 q:@0.842950:0.754301:0.855145:0.754301:0.855145:0.738937:0.842950:0.738937:0.000000:0.000000
V:@0.580255:0.781698:0.588782:0.781698:0.588782:0.766799:0.580255:0.766799:0.000000
V:@0.704458:0.781698:0.712985:0.781698:0.712985:0.766799:0.704458:0.766799:0.000000
V:@0.829950:0.781698:0.838477:0.781698:0.838477:0.766799:0.829950:0.766799:0.000000
V:@0.580255:0.802632:0.588782:0.802632:0.588782:0.787733:0.580255:0.787733:0.000000
F:@0.704860:0.802632:0.712599:0.802632:0.712599:0.787733:0.704860:0.787733:0.000000
F:@0.830352:0.802632:0.838091:0.802632:0.838091:0.787733:0.830352:0.787733:0.000000
F:@0.580657:0.823566:0.588397:0.823566:0.588397:0.808667:0.580657:0.808667:0.000000
V:@0.704474:0.823566:0.713001:0.823566:0.713001:0.808667:0.704474:0.808667:0.000000
F:@0.830369:0.823566:0.838108:0.823566:0.838108:0.808667:0.830369:0.808667:0.000000
F:@0.580674:0.844500:0.588414:0.844500:0.588414:0.829601:0.580674:0.829601:0.000000
F:@0.704876:0.844500:0.712616:0.844500:0.712616:0.829601:0.704876:0.829601:0.000000
V:@0.829983:0.844500:0.838510:0.844500:0.838510:0.829601:0.829983:0.829601:0.000000
Shutterstock, (2021). 1516103003:@0.896589:0.913425:0.896589:0.797532:0.882693:0.797532:0.882693:0.913425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, (2021). 1516103003:@0.897281:0.493656:0.897281:0.377764:0.883385:0.377764:0.883385:0.493656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla de valores de verdad  :@0.600174:0.326554:0.799407:0.326554:0.799407:0.311190:0.600174:0.311190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del condicional y bicondicional:@0.584477:0.341641:0.808187:0.341641:0.808187:0.326277:0.584477:0.326277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.553736:0.363179:0.562866:0.363179:0.562866:0.347815:0.553736:0.347815:0.000000
q:@0.645757:0.363179:0.654887:0.363179:0.654887:0.347815:0.645757:0.347815:0.000000
p   q:@0.721880:0.363179:0.762806:0.363179:0.762806:0.347815:0.721880:0.347815:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.734076:0.363795:0.750610:0.363795:0.750610:0.349638:0.734076:0.349638:0.000000
p :@0.813432:0.363179:0.825628:0.363179:0.825628:0.347815:0.813432:0.347815:0.000000:0.000000
↔:@0.825628:0.363795:0.843084:0.363795:0.843084:0.349638:0.825628:0.349638:0.000000
 q:@0.843084:0.363179:0.855279:0.363179:0.855279:0.347815:0.843084:0.347815:0.000000:0.000000
V:@0.554038:0.384113:0.562565:0.384113:0.562565:0.369214:0.554038:0.369214:0.000000
V:@0.646059:0.384113:0.654586:0.384113:0.654586:0.369214:0.646059:0.369214:0.000000
V:@0.738080:0.384113:0.746607:0.384113:0.746607:0.369214:0.738080:0.369214:0.000000
V:@0.830101:0.384113:0.838628:0.384113:0.838628:0.369214:0.830101:0.369214:0.000000
V:@0.554038:0.405047:0.562565:0.405047:0.562565:0.390148:0.554038:0.390148:0.000000
F:@0.646444:0.405047:0.654184:0.405047:0.654184:0.390148:0.646444:0.390148:0.000000
F:@0.738465:0.405047:0.746205:0.405047:0.746205:0.390148:0.738465:0.390148:0.000000
F:@0.830486:0.405047:0.838225:0.405047:0.838225:0.390148:0.830486:0.390148:0.000000
F:@0.554423:0.425981:0.562163:0.425981:0.562163:0.411082:0.554423:0.411082:0.000000
V:@0.646042:0.425981:0.654569:0.425981:0.654569:0.411082:0.646042:0.411082:0.000000
V:@0.738063:0.425981:0.746590:0.425981:0.746590:0.411082:0.738063:0.411082:0.000000
F:@0.830469:0.425981:0.838209:0.425981:0.838209:0.411082:0.830469:0.411082:0.000000
F:@0.554406:0.446915:0.562146:0.446915:0.562146:0.432016:0.554406:0.432016:0.000000
F:@0.646427:0.446915:0.654167:0.446915:0.654167:0.432016:0.646427:0.432016:0.000000
V:@0.738046:0.446915:0.746573:0.446915:0.746573:0.432016:0.738046:0.432016:0.000000
V:@0.830067:0.446915:0.838594:0.446915:0.838594:0.432016:0.830067:0.432016:0.000000
Bicondicional (:@0.114101:0.328503:0.235355:0.328503:0.235355:0.311602:0.114101:0.311602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
↔:@0.235355:0.329180:0.254556:0.329180:0.254556:0.313607:0.235355:0.313607:0.000000
).:@0.254556:0.328503:0.264452:0.328503:0.264452:0.311602:0.254556:0.311602:0.000000:0.000000
 Es una doble implicación o :@0.264452:0.328503:0.491573:0.328503:0.491573:0.312114:0.264452:0.312114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proposición bicondicional. Está formada por dos :@0.114101:0.345099:0.491554:0.345099:0.491554:0.328710:0.114101:0.328710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proposiciones de esta manera :@0.114101:0.361695:0.341387:0.361695:0.341387:0.345306:0.114101:0.345306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p :@0.342309:0.361695:0.354895:0.361695:0.354895:0.345334:0.342309:0.345334:0.000000:0.000000
↔:@0.355687:0.362373:0.374889:0.362373:0.374889:0.346800:0.355687:0.346800:0.000000
 q:@0.374889:0.361695:0.388230:0.361695:0.388230:0.345334:0.374889:0.345334:0.000000:0.000000
. Se lee “  si y :@0.388230:0.361695:0.491506:0.361695:0.491506:0.345306:0.388230:0.345306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.449454:0.361695:0.458724:0.361695:0.458724:0.345334:0.449454:0.345334:0.000000
solo si  ”. Es verdadera cuando   y   son ambas ver-:@0.114101:0.378292:0.487500:0.378292:0.487500:0.361903:0.114101:0.361903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.162805:0.378292:0.172074:0.378292:0.172074:0.361930:0.162805:0.361930:0.000000
p q:@0.338605:0.378292:0.372843:0.378292:0.372843:0.361930:0.338605:0.361930:0.000000:0.000000:0.000000
daderas, y también cuando   y   son ambas falsas.:@0.114101:0.394888:0.481913:0.394888:0.481913:0.378499:0.114101:0.378499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.317450:0.394888:0.352168:0.394888:0.352168:0.378527:0.317450:0.378527:0.000000:0.000000:0.000000
p :@0.114101:0.418607:0.126687:0.418607:0.126687:0.402246:0.114101:0.402246:0.000000:0.000000
↔:@0.126687:0.419285:0.145889:0.419285:0.145889:0.403712:0.126687:0.403712:0.000000
 q:@0.145889:0.418607:0.158475:0.418607:0.158475:0.402246:0.145889:0.402246:0.000000:0.000000
Significa que::@0.114101:0.442326:0.211565:0.442326:0.211565:0.425937:0.114101:0.425937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p  q:@0.114101:0.466045:0.148100:0.466045:0.148100:0.449684:0.114101:0.449684:0.000000:0.000000:0.000000:0.000000
y   son equivalentes:@0.126687:0.466045:0.276096:0.466045:0.276096:0.449656:0.126687:0.449656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para que ocurra   es suficiente que ocurra   y viceversa. :@0.114101:0.488948:0.526467:0.488948:0.526467:0.472559:0.114101:0.472559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
q:@0.234432:0.488948:0.243701:0.488948:0.243701:0.472587:0.234432:0.472587:0.000000
p:@0.426554:0.488948:0.435823:0.488948:0.435823:0.472587:0.426554:0.472587:0.000000
q :@0.114101:0.512667:0.126687:0.512667:0.126687:0.496306:0.114101:0.496306:0.000000:0.000000
es una condición necesaria para  , y viceversa.:@0.126687:0.512667:0.464644:0.512667:0.464644:0.496278:0.126687:0.496278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.365561:0.512667:0.374830:0.512667:0.374830:0.496306:0.365561:0.496306:0.000000
Tautología. :@0.114101:0.536386:0.207031:0.536386:0.207031:0.519485:0.114101:0.519485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una proposición compuesta que es cierta para todos los valores de verdad de sus propo-:@0.207216:0.536386:0.879898:0.536386:0.879898:0.519997:0.207216:0.519997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siciones.:@0.114101:0.552982:0.175391:0.552982:0.175391:0.536593:0.114101:0.536593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Contradicción. :@0.114101:0.576701:0.233328:0.576701:0.233328:0.559801:0.114101:0.559801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una proposición compuesta que en todos los casos posibles de su columna principal :@0.233623:0.576701:0.883858:0.576701:0.883858:0.560312:0.233623:0.560312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su valor de verdad es falso.:@0.114101:0.593298:0.308988:0.593298:0.308988:0.576909:0.114101:0.576909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Contingencia. :@0.114101:0.617017:0.228334:0.617017:0.228334:0.600116:0.114101:0.600116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando el resultado de una tabla de valores de verdad son verdaderos y falsos.:@0.228334:0.617017:0.804100:0.617017:0.804100:0.600628:0.228334:0.600628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000