Isn't that exactly what a "world without you in it" means? You either just lack imagination or you're being disingenuous — khaled
No, that isn't what it means at all. Again: I can imagine my body not existing, but I seem unable to imagine that 'I' - the one doing the imagining - does not exist.
Yet I do not exist of necessity.
So inconceivability is neither constitutive of, or a reliable guide to necessity's presence.
When people make a mistake in arithmetic they are forgetting a definition or a rule somewhere. — khaled
Give any explanation you like, the simple fact is they often imagine that 18 x 3 = 58. It's why maths exists as a discipline. And it is why rules are formulated - for relying on our imagination is not a reliable way of doing anything other than the most basic of sums.
But even if everything I have just said is wrong - and it really isn't - it is absurd to think that your imagination either constitutively determines what is or is not possible (that somehow your imagination is in charge of reality), or that reality somehow has control over your imagination such that it has managed to forbid it from imagining that which reality cannot provide. The idea is simply farcical.
So, again, conceivability and necessity are not the same notion (nor is one a reliable guide to the other).
literally just answered this. Yes. Though I don't think there is much point in moving on when we disagree on something as basic as "can you imagine 3x18 equalling 58" — khaled
No, because you keep pressing the conceivability point, thus leaving me unclear what view you hold.
'Inconceivably false' and 'true by definition' are not the same. So you go on about conceivability, and then - out of nowhere - you claim that a necessary truth is 'true by definition'. Hence my confusion.
Anyway, you now think that what it is for a proposition to be 'necessarily' true (as opposed to just 'true') is that it is 'true by definition'.
Well, I don't think that captures the notion of necessity, for no word has its definition of necessity. I mean, you'd agree to that, presumably?
Bachelor 'does' mean 'unmarried man'. But it doesn't 'have' to mean that. It just does, yes?
That's true of all words. So if 'necessarily true' just means 'true by definition' then 'necessarily true' doesn't tell us anything more about the nature of reality than just 'true' would.