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Play Fill in the Blanks Game
q p → ~ p ~ q
Valid Argument type 1 ( Modus Ponens ) :
p ? ____________________
____________________
- - - - - - - - - - - -
q
~q q ~ →
Valid Argument type 2 ( Modus Tollens )
p ? ____________________
____________________
- - - - - - - - -
____________________
~ p r ~ q p q
Valid Argument type 3 ( Hypothetical Syllogism ) :
p ? q
____________________ ? ____________________
- - - - - - - - - -
____________________ ? r
Valid3 Invalid Valid1 Valid2
a ? b
a
- - - - - - - -
b
____________________ Argument
Valid2 Valid3 Valid1 Invalid
a ? b
b
- - - - - - - -
a
____________________ Argumen t
Invalid Valid1 Valid3 Valid2
a ? b
~b
- - - - - - - -
~a
____________________ Argumen t
Invalid Valid1 Valid3 Valid2
a ? b
b ? c
- - - - - - - - - -
c ? a
____________________ Argumen t
Valid1 Valid2 Invalid Valid3
a ? b
b ? c
- - - - - - - - - -
a ? c
____________________ Argumen t
Valid3 Invalid Valid1 Valid2
a ? b
~a
- - - - - - - -
~b
____________________ Argumen t
c valid2 c invalid valid b b valid3
All college students read books . ( If you are a college student ( c ) then you read books ( b ) ) .
I am a college student .
So , I read books .
____________________ ? ____________________
____________________
_________
____________________
Valid or invalid ? ____________________
invalid valid ~ c b ~ valid3 b valid1 c
All college students read books . ( If you are a college student ( c ) then you read books ( b ) ) .
I do not read books .
So , I am not a college student .
____________________ ? ____________________
____________________ ____________________
____
____________________ ____________________
Valid or invalid ? ____________________
b valid2 valid invalid valid1 t b c c t
All college students read books . ( If you are a college student ( c ) then you read books ( b ) ) .
Reading books takes a lot of time . ( If you read books then you spend a lot of time reading ( t ) ) .
So , if I am a college student then I spend a lot of time reading .
____________________ ? ____________________
____________________ ? ____________________
_____
____________________ ? ____________________
Valid or invalid ? ____________________
invalid s valid2 h valid valid3 s h
If you are a student ( s ) then you do homework ( h ) .
I am a student .
So , I do homework .
____________________ ? ____________________
____________________
- - - - - - - -
____________________
Valid or invalid ? ____________________
h ~ valid1 valid s valid3 invalid ~ s h
If you are a student ( s ) then you do homework ( h ) .
I do not do homework .
So , I am not a student .
____________________ ? ____________________
____________________ ____________________
- - - - - - - -
____________________ ____________________
Valid or invalid ? ____________________
s invalid l valid2 l valid1 h valid s h
If you are a student ( s ) then you do homework ( h ) .
If you do homework then you learn a lot ( l ) .
So , if you are a student then you learn a lot .
____________________ ? ____________________
____________________ ? ____________________
- - - - - - - -
____________________ ? ____________________
Valid or invalid ? ____________________
s valid3 invalid a valid s valid2 a
All squirrels like apples . ( If this creature is a squirrel ( s ) then she likes apples ( a ) ) .
This creature is a squirrel .
So , she likes apples .
____________________ ? ____________________
____________________
- - - - - -
____________________
Valid or invalid ? ____________________
invali i r valid2 valid1 r valid3 i
If it is raining ( r ) then we stay inside ( i ) .
We stay inside .
So , it is raining .
____________________ ? ____________________
____________________
- - - - - -
____________________
Valid or invalid ? ____________________
valid3 p h ~ p invali valid1 valid2 h ~
If I promise to help ( p ) then I will help ( h ) .
I did not promise to help .
So , I wont help .
____________________ ? ____________________
____________________ ____________________
- - - - - - -
____________________ ____________________
Valid or invalid ? ____________________
h d ~ valid3 Invali d ~ valid2 valid1 h
If I have homework due tomorrow ( d ) then I do my homework ( h ) .
I do not have homework due tomorrow .
So , I won't do my homework .
____________________ ? ____________________
____________________ ____________________
- - - - - -
____________________ ____________________
Valid or invalid ? ____________________