|
|
       
|
Truth-functions are not material functions. If e.g. an affirmation can be produced by repeated denial, is the denial - in any sense - contained in the affirmation? Does "~~p" deny "~p", or does it affirm p; or both? The proposition "~~p" does not treat of denial as an object, but the possibility of denial is already prejudged in affirmation. And if there was an object called "~", then "~~p" would have to say something other than "p". For the one proposition would then treat of ~, the other would not. 5.441 This disappearance of the apparent logical constants also occurs if
"~( 5.442 If a proposition is given to us then the results of all truth-operations which have it as their basis are given with it. |
x).~fx"
says the same as "(x).fx", or "(