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\n" ); document.write( "p is some logical statement which is either true (T) or false (F)
\n" ); document.write( "q is a similar story.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Here are all the ways to have two combos of either T or F
\n" ); document.write( "TT
\n" ); document.write( "TF
\n" ); document.write( "FT
\n" ); document.write( "FF
\n" ); document.write( "Note how the first column has TT then FF
\n" ); document.write( "The second column alternates TFTF\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So this is how we form the columns for p and q
\n" ); document.write( "
| p | q | ~p | ~p V q |
| T | T | ||
| T | F | ||
| F | T | ||
| F | F |
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then we negate the first column of values. This means we flip from T to F and vice versa. This gets us the column of ~p truth values.
\n" ); document.write( "
| p | q | ~p | ~p V q |
| T | T | F | |
| T | F | F | |
| F | T | T | |
| F | F | F |
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then we apply the disjunction operation to the columns of ~p and q
\n" ); document.write( "The result of a disjunction is false only when both ~p and q are false; otherwise, the result is true\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This is the fully filled out truth table
\n" ); document.write( "
| p | q | ~p | ~p V q |
| T | T | F | T |
| T | F | F | F |
| F | T | T | T |
| F | F | F | T |
\n" ); document.write( " \n" ); document.write( "