@hue-man,
hue-man;132801 wrote:I think that our belief that there are no unicorns is justified, but I don't think it can be proven to be true or false. This is what makes it meaningless as a proposition. A sentence states no proposition if it cannot be proven to be true or false. I don't know that the sun will rise tomorrow, but I believe that it will.
---------- Post added 02-26-2010 at 08:51 AM ----------
If someone were to say that "extra-terrestrials do exist" it would be meaningless as a proposition if it could not be proven to be true or false. It would, however, be a meaningful question for some people.
I guess the problem is that I don't understand how you can call a sentence in perfectly good English that any English speaker can understand (even children) meaningless. You must mean by "meaningless" something other than "cannot be understood".
Could you also explain what is the difference between being justified and being proven true or false? I think you may mean by "being proven true or false" that if something is proven in that way, it would be impossible for it to be false. But what does that mean? In what sense of "impossible"?
I think you may be confusing two things.
1. It is impossible for the conclusion of an argument to be false it it follows necessarily from its premises.
2. If the conclusion of an argument follows from its premises, it is impossible for that conclusion to be false.
Consider the following argument:
All Men are mortal
Socrates is a Man
Socrates is mortal.
Which is a valid argument:
It is impossible for the premises to be true, but the conclusion false.
But, it is certainly not impossible for the conclusion to be false, whether or not the premises are true.
That is, it is not logically impossible for Socrates to be immortal, which is to say, "Socrates is immortal" is not a self-contradictory proposition. It is only a false proposition.
That some proposition follows necessarily from the premises is one thing. For that proposition to be itself, necessarily true, is a very different thing.