How do you establish possibility without deducing an alternative state of affairs? The only reason I can imagine is because it has a truth value. I'm not saying it is a good reason. — Cheshire
I don't know what you mean. I think propositions are true or false. I don't think adding 'possibly' adds anything, apart from when it is being used to express the utterer's lack of confidence in the proposition's truth.
So, my claim is that the law of non-contradiction is true. Not necessarily true - I don't know what that means. Just true.
Is it possible for it to be false? Well, I don't know what that means either. I only say that it is 'possibly' false as a way of conveying to others that I do not think it is necessarily true. But if you press me on what 'possibly' means (beyond functioning to express a speaker's lack of confidence), then I do not know and don't need to know, as it is the opposite of something nonsensical, namely necessity.
So, I say "the law of non-contradiction is true". I deny that it is 'necessarily' true. There are different ways of saying that. One can say that it is 'possibly false'. Or that it is 'contingently true'. But when I say those things, I just mean by them "not necessarily true". ANd I mean that by them because I haven't a faintest idea what 'necessity' is.
Take flugemont. Is the law of non-contradiction flugemont true? No, I don't know what 'flugemont' means.
Ah, someone might say, if you don't think it is flugemont true, then you think it is flidgemey true.
Okay, I say, I think it is fligemey true.
What makes it fligemey true?
Well, I don't know - i've no more idea what fligemey true means than flugemont true - isn't it enough that I just think it true? I don't think it is flugemont true, and I say it is fligemey true simply as a way of denying that it is flugemont true, but really I just think it is true and don't add anything to it.
Dispense with necessity talk - it is easy if you try. And contrary to what many here seem to think, doing so will not mean one cannot reason. Far from it. One will reason better.
So, I think this argument is valid:
1. P
2. Q
3. Therefore P and Q
That is, I think that if 1 and 2 are true, 3 is too.
A believer in necessity who isn't completely stupid will agree that the argument is valid. But they will insist that if 1 and 2 are true, 3 'must' be too.
Well, I think that 'must' has nothing corresponding to it in reality. And I think the person who sticks the must in doesn't have a clue what they're talking about.
But we both think 3 is true if 1 and 2 are. So we can still reason with each other, it's just that they - the believers in necessity - keep sticking this word 'necessary' in all over the place.
I might say that something 'must' be the case as well sometimes. But when I use the word 'must' it functions expressively (as it does when everyone else uses it, with the exception of philosophers). That is, I am conveying to my listener that I really want them to, or that it is really important to, or some such. That usage comes with no metaphysical baggage.