It’s not undecidable. It can be understood in multiple ways, some of which are meaningful, and some not.
If I’m teaching a class, and at some point say “the proposition which I just wrote on the board is correct”, that statement will be meaningful or meaningless depending on what statement was written. Same for a proposition that refers to a “God” concept—if it’s referring to versions of that concept which are meaningful, then it’s meaningful.
But whether it’s referring to a version of the concept that is “meaningful isn’t clear.
You are now saying that every proposition is decideably meaningless/full , depending on some further facts about what it is “really” about...facts which may never become apparent.
>You are now saying that every proposition is decideably meaningless/full , depending on some further facts about what it is “really” about...facts which may never become apparent.
No, only incredibly vague statements like my example or like “God exists”.
So.. previously you were saying that there is one kind of meaninglessness , consisting of unverifiability. Now you are saying that there is another kind, consisting of vagueness .
No, a statement can be vague about whether it refers to meaningful statement A or meaningless statement B. That statement as a whole is unverifiable because it’s unclear which it refers to.
So it’s a robust example of a proposition whose meaningfulness is undecidable, as required.
Which is to say that the proposition per se is undecidable.
It’s not undecidable. It can be understood in multiple ways, some of which are meaningful, and some not.
If I’m teaching a class, and at some point say “the proposition which I just wrote on the board is correct”, that statement will be meaningful or meaningless depending on what statement was written. Same for a proposition that refers to a “God” concept—if it’s referring to versions of that concept which are meaningful, then it’s meaningful.
But whether it’s referring to a version of the concept that is “meaningful isn’t clear.
You are now saying that every proposition is decideably meaningless/full , depending on some further facts about what it is “really” about...facts which may never become apparent.
>You are now saying that every proposition is decideably meaningless/full , depending on some further facts about what it is “really” about...facts which may never become apparent.
No, only incredibly vague statements like my example or like “God exists”.
So.. previously you were saying that there is one kind of meaninglessness , consisting of unverifiability. Now you are saying that there is another kind, consisting of vagueness .
No, a statement can be vague about whether it refers to meaningful statement A or meaningless statement B. That statement as a whole is unverifiable because it’s unclear which it refers to.