Formally, an argument is merely an ordered pair <G P> where G is a set of statements and P is a statement. G is the set of premises and P is the conclusion.
An argument is valid if and only if there is no model in which every member of G is true but P is false. So 'validity of an argument' is a semantical notion. — TonesInDeepFreeze
If all the numbers in your calculations are such that they cancel out and leave you with a nice whole number answer, you're (almost) guaranteed to have solved the problem correctly. — Agent Smith
Why doesn't this rule apply to real life scenarios? Shouldn't we be going :chin: huh? when after trying to calculate some constants in math and science we find their values to be rather unwieldy/cumbersome/awkward like, for example, the numbers ππ and ee? — Agent Smith
Exactly. And having no measures means impotency. — EugeneW
To generate 'explosions' and other such logical dramas one would have to assume the reality of necessity. Yet the reality of necessity is incompatible with the existence of an omnipotent being. Not necessarily incompatible, of course. Just actually incompatible. And thus as an omnipotent being exists, we can safely conclude that there are no necessary truths (including that one). And so if - if - the omnipotent being made a true proposition false at the same time, this not create any explosion, for it remains down to the omnipotent being whether any other propositions are true and false at the same time. — Bartricks
But insisting that an omnipotent being is necessarily omnipotent is to insist that being omnipotent essentially involves an inability - the inability to not be omnipotent. That just seems incoherent to me - indeed, it asserts a contradiction. For how can one say that an omnipotent being is able to do anything if at the same time one insists that there is something that the omnipotent being cannot do, namely divest themselves of their omnipotence? How is that not to assert P and not P? We agree, I take it, that no contradictions are true. — Bartricks
We agree, I take it, that no contradictions are true. — Bartricks
To put it another way, God is no more bound by the principle of explosion than he is by any other principle. He can make the law of non-contradiction false. So he can make the principle of explosion false too. — Bartricks
So my point here is that the ability to break/ignore LNC defeats the OP - i.e. God can simultaneously be be omnipotent over the sum process and divest Herself of Her omnipotence. — EricH
So my point here is that the ability to break/ignore LNC defeats the OP - i.e. God can simultaneously be be omnipotent over the sum process and divest Herself of Her omnipotence. — EricH
Btw, you know what D-kers are? — EugeneW
What they mean is mental illness, mostly schizophrenia, but often manifests itself with religious symbology and themes. I dont think they meant religiosity is a mental illness, nor saying religious people are mentally ill.
I mention it because “sociopath” seems a pretty drastic take on the comment. — DingoJones