That said, I don’t think you’re arguing for your position just saying it’s really hard to believe otherwise, which I understand.
I’m not saying it’s really hard to think or communicate without the principle of non-contradiction–I’m saying it’s impossible.
I’m not asking you to question non-contradiction, as noted, I presume it in most dialogues.
I’m not opposed to questioning the principle. I’m opposed to giving a formal argument in defense of the principle (And that came with questioning!).
You’re the first person I’ve talked to that’s suggested ‘from nothing, nothing comes’ is based on non-contradiction. Nearly everyone else I’ve spoken to on this thinks it’s based on some PSR.
That’s interesting, I guess.
I’m not sure what you mean. I can logically deduce dialetheism from the liar paradox using only excluded middle and constructive dilemma.
I’m interested in seeing such a deduction for the sake of argument. However, I think it wouldn’t refute my point. Any time one makes a distinction one relies upon the law of non-contradiction… otherwise there can be no specific meaning to one’s words.
Logicians don’t get into that.
Error is not as discriminating.
If it doesn’t match with reality, then it’s true that it doesn’t match reality. If it does match reality, then it’s false that it doesn’t match with reality.
And don’t you see how the paradox fizzles out when you put it in these words? The paradox seems to be confusing for a number of reasons… but making one think what truth is requires deeper questions.
“This sentence is false” – denoted as the sentence LP (for Liar Paradox).
If we make the judgment that LP is true, we are in effect saying that, “The sentence, “this sentence is false” corresponds to reality in some way”. And if we make the judgment that LP is false, then we are in effect saying that, “The sentence, “this sentence is false” does not correspond to reality in some way”. But notice that there is no contradiction unless both our judgments are true… and in order to know that both our judgments are true on the matter we would have to spell out in what way the sentence LP corresponds to reality–good luck on that!
It’s one of those confusing self-referential things… but it can be worked out. The problem is we confuse our judgment with the meaning of the sentence.
(i): Science tells us that we can’t know if the Big Bang had a cause, we’re utterly ignorant about what happened prior to Planck time 10^-43.
Actually, science says that the current models break down at that time. And, if it indeed were the case that science gives us necessary knowledge (it doesn’t), it could only tell us that it cannot tell us the cause of the Big Bang by its methods. To say anything more is to treat science like metaphysics.
(ii): If Staples is just restating Aquinas’ arguments, then it doesn’t matter what science he appeals to, the arguments can’t get off the ground (they’re fallacious, and invalid).
Now that is interesting. I am interested in you giving a brief description of some of the fallacies and where and why they crop up. I say this because I have been at this a long time and still have not found an objection that screws with the intended definitions of the words or gets something else wrong–it is usually the logician mistaking the word “necessary” to mean logical necessity or some such misunderstanding.
I hope I sound sincere (I am). And if you don’t want me to comment back on the apparent fallacies you point out I won’t… just say so and I will merely listen.
ciao,
Michael