I think what you are neglecting to see is that one is an absolute necessity if one has knowledge at all and the other is principally a non-necessity.
Appeal to consequences FALLACY.
We need X to be sure of our knowledge.
We prefer to believe that we are sure of our knowledge.
Therefore, we have X.
Now can we prove that the law of non-contradiction is true in any absolute sense? The law of non-contradiction is part and parcel of all the laws of logic, would you question the absolute truth of the law of identity?
Yes, why would I say that the law of non-contradiction is not absolute but yet the law of identity is?
1. You admit that neither law can be proven.
2. ???
3. Both laws are "absolute".
Logical fallacies are errors in logic are they not?
No, logical fallacies are errors in one's reasoning. I do not know what it means for logic itself to have an error.
The laws of logic are central and actually bedrock for all knowledge. They are not man made. If they were man made they would not be universal, absolute and necessary to acquire all knowledge.
They are not universal or absolute. I already showed you that quantum mechanics subverts certain logical laws and this is not up for debate among physicists. You are simply wrong.
How am I wrong. Please explain?
The logic a Turing machine has is that which is input into it. This is simply a true case (rather than a false accusation of)ad hominem argumentation.
You are saying that I am committing the
ad hominem fallacy by factually pointing out that Turing machines do not have beliefs? I was only saying that by your reasoning this means they cannot perform logic, since you have been claiming that I cannot perform logic without absolute allegiance to the law of non-contradiction.
I am growing weary of this conversation and I'm not sure that you are equipped to carry it.
It is true that you don't have to believe that the law of non-contradiction is absolute but unless it is, your arguments could not follow or get off the ground in the first place.
It doesn't matter, as long as you believe these laws are absolute, I may assume that they are and proceed from there. See, my argument is something like this:
1. If X then Y
2. X
3. Therefore Y
I don't actually believe X is true, but what's it matter? YOU DO. I have met the burden of proof because YOU hold that X is true. There is nothing more required of me. Your only out you can think of is to say that my reasoning is invalid because of my own personal beliefs. I have never in my life seen such flagrant fallacies employed in earnest.
If you could not recognize that a parallel postulate was a parallel postulate and could not not be a parallel postulate you would not understand the issue at all. It is your believe that the Law of non-contradiction is not absolute that is being focused on and I do think that your position as a Nihilist comes into play. I believe that it is absolute and I can't say that my position as a theist doesn't come into play and I don't think if your honest that being a Nihilist doesn't affect your position. That doesn't mean the argument is ad hominem because your belief has everything to do with your worldview and how you view the questions in this thread. The same is true of me, if you base an argument on my being a Christian in this discussion it is not ad hominem, it only becomes that fallacy if you go outside of that label and argue that my personal views are: Your views are absurd, bizarre, and not withstanding of casual scrutiny.
It is not an
ad hominem to say that your beliefs are absurd, bizarre, and not withstanding of casual scrutiny because in that very sentence I am saying that your views are dismantled when scrutinized. It would be
ad hominem if I said that your views
do not need to be scrutinized because some trait or characteristic you hold makes your argument invalid.
You are absolutely backward on this issue.
You commit the
ad hominem fallacy when you say that my argument is invalid because of certain beliefs I hold despite the fact that my argument is sound, valid, and meets your own burden of proof. You are the epitome of unreasonable.
They are not the same thing.
The Principle of Non-Contradiction (PNC) and Principle of Excluded Middle (PEM) are frequently mistaken for one another and for a third principle which asserts their conjunction.
Given a statement and its negation, p and ~p, the PNC asserts that at most one is true. The PEM asserts that at least one is true. The PNC says "not both" and the PEM "not neither". Together, and only together, they assert that exactly one is true.
Let us call the principle that asserts the conjunction of the PNC and PEM, the Principle of Exclusive Disjunction for Contradictories (PEDC). Surprisingly, this important principle has acquired no particular name in the history of logic.
PNC at most one is true; both can be false
PEM at least one is true; both can be true
PEDC exactly one is true, exactly one is false
Clearly the PEDC is not identical to either the PNC or the PEM, and the latter two are not identical to one another.
http://legacy.earlham.edu/~peters/courses/logsys/pnc-pem.htm
I'm sorry, but that article is drivel.
"
Given a statement and its negation, p and ~p, the PNC asserts that at most
one is true."
"
PNC at most one is true; both can be false"
Oh really? Both
p and ~
p can be false? So "It is raining" and "It is not raining" can both be false? What amateur wrote that? The law of non-contradiction is self-referencing and self-contained. It does not lean on an additional principle.
I already proved my case. Instead of addressing my proof directly, you go and cite this hack.
I addressed this above.
It is true that it is not required that you believe that the law of non-contradiction is absolute for one to use it. However, if it were not true that it is absolutely true we would not be able to access knowledge at all.
Appeal to consequences fallacy.
Again, I have to ask, would you claim that the law of identity is not absolutely true?
Why would I say it's absolutely true when electrons interfere with themselves? What could be more obviously a violation of the law of identity?
Being rational is a process of rational inference constituting reasoning powers.
You're using "rational" to define "rational". The definition is circular and unacceptable.
I mean that there is something always outside the "system" that is necessary explain the system.
That is not the statement of Gödel's theorem. I think you are trying to formulate the converse of "There will always be propositions which are undecidable" which is "There will always be propositions which require further axioms to be decidable". But when you say something like "explain the system" I don't know what you're talking about, and I don't think you do either.
In the way that you are distorting the theorem it looks like you're trying to apply it to the universe, saying that something external to the universe must exist. But you can't apply a theorem without applying it consistently, even if what you have is a twisted, mutilated version of a theorem. If you don't apply it consistently, that's called special pleading. Yes, it's a fallacy. You want to say that God is this special exception. But guess what: if there are exceptions to a theorem, then the theorem is not valid. Gödel's Incompleteness Theorem is valid, but your mutilated version of it is not and the fallacy that follows proves that.
Exactly. It is about provability and the fact that provability is weaker notion than truth. We can't prove God but we can show that God is a reasonable conclusion.
And after dozens of back-and-forths you've come up with barely anything that is coherent.
Your problem as I've repeatedly said, is that God is consistent in His reasoning. He is consistent in His rational nature. A square circle is illogical and inconsistent with rational thought. If one is omniscient one would know that a square circle is illogical and inconsistent with rational thought. Knowing what is logical and consistent with rational thought is not a condition that provides denying omniscience.
If you insist that God is logical and you also do not understand the Incompleteness Theorem, then you are unqualified to comment on God's omniscience.
You said: Now let's look at this syllogism. There are quite a few problems with it, but the neat thing about the logic you hold so dear is that I really only need to point out one error to cripple the whole thing.
If you don't think that they are absolute, even if you find an error it is hardly a problem. Without there being absoluteness about them errors in logic then are not absolutely wrong.
It doesn't matter, I've met the burden of proof. Again,
As long as you believe these laws are absolute, I may assume that they are and proceed from there. See, my argument is something like this:
1. If X then Y
2. X
3. Therefore Y
And I don't actually believe X is true, but what's it matter? YOU DO. I have met the burden of proof because YOU hold that X is true. There is nothing more required of me.
No, you are ignoring what I said and making your argument on only part of what I said. The Being outside of the system would have to be eternal and the only eternal Being is God.
You presented me with an argument and you continue to change it when I critique it. When you're done, let me know.
What is it that you don't understand?
You said, "
As I've shown your premises were invalid making your conclusion invalid." What were you referring to?
Not personally, but in this scenario.
OK.
The reasons for God being a better explanation is due to cohesiveness between worldview and reality.
Right, yes, your insistence on logic being absolute, and that principle being accounted for by God's existence.
Does gravity have to exist outside our universe for it to be a valid law inside our universe? No. Does logic have to be absolute and hold as true in all possible realities in order for it to be a valid law inside our own universe? No! All we need is for it to be valid in our universe and we are equipped to perform logic.
God better explains why there are Laws of physics and Laws of Logic, especially the Laws of Logic. Laws are known to be from a law giver.
You seem to be changing your story now. I thought the laws of logic were immutable aspects of God's character. Now you're saying he just made them up.
Let's say this is not what you mean. Let's ignore what you said here for a moment and reconstruct your worldview. Your worldview is that God exists for no reason and with no cause, that he has no beginning, and that the laws of logic are immutable aspects of his character. In this scenario, the laws of logic have no discernible beginning. They literally exist for no reason because God literally exists for no reason. So why is that a better explanation of their existence than the atheistic worldview in which they would also exist for no reason?
Keep in mind that I don't even hold that these exist at all, but if you insist on saying that they do exist and then you charge me with explaining how they do, my explanation is literally the same as yours. And then when you see your explanation is no better than mine in any way, and is in fact worse because it makes unnecessary assumptions, you mutilate your own argument and claim that these laws exist because they were issued by a law giver. In doing this you contradict your own argument.
Your worldview is necessarily inferior to mine because in either case God is unnecessary, so when you assert his existence you are putting forth a claim which is unverifiable. Do you claim that God issued the laws? Then you admit they're arbitrary inventions, and there's no reason humans couldn't have come up with them. Do you claim that they are immutable aspects of his nature? Then you admit that they exist for no reason and with no cause, even though you criticize my worldview for being unable to account for them.
God better explains the very specific parameters that we find that allow for life to exist. IF the Christian God exists, like I claim, then a God creating a universe to house (borrowing the term from another member) image bearers of Himself is a reason for us to exist and why the necessary elements that allow that exist as well.
Ah, fine tuning. Can of worms. We can get to that issue, but you need to show me that you understand the monumental problems within your worldview first.
Your explanation: all possible universes can and do exist for no reason with no cause.
Straw man, which is—you guessed it—another fallacy. I went out of my way to say the following:
I don't maintain that the multiverse hypothesis is or must be correct, although I do maintain that it is possible.
I also said this a while back:
The honest assessment is that you don't know. And when you reach that mountaintop, you'll see the atheist has been waiting there the whole time.
What I actually said regarding all possible universes existing is this:
Does an omnipotent, omnipresent, omniscient, disembodied mind who exists for no reason and with no cause provide a possible explanation for why we're here? Perhaps, but so does the assumption that all possible universes can and do exist for no reason and with no cause. If that were the case, it would indeed explain why we're here. Explain why your assumption is better than that one.
You're not following the conversation.
Even if all possible universes can and do exist, this just pushes the problem back to the "original" universe.
This universe did have a beginning, it didn't exist and then it existed. How does something begin to exist when it didn't exist without something or someone bringing it into existence. Care to explain?
My hypothetical said that they exist for no reason and for no cause—just like your God.
You cannot help yourself to the monopoly of the claim that something exists for no reason and with no cause.
If the universe exists for no reason, and has no cause why do we have reason and logic?
If
the universe God exists for no reason, and has no cause why do we have reason and logic?
You are up to your ears in special pleading.
You haven't shown that the universe doesn't need a cause.
How many times do I have to say this? We know for a certainty that there cannot have been a cause for the universe in the sense of how we understand causality. At best we can say that there was a cause*, where this cause* is nothing like the causality we know of whatsoever and we therefore cannot refer to it as a proper cause in any sense of the word. You more or less admitted this.
You admitted that the beginning of the universe cannot be explained in any sense by the causality we know, yet you insist that there was a cause.
From post #357:
Where is the support of that assertion? We know the singularity existed seconds before time, so we know that before time there was something prior to time. Yet that something existed prior to the existence of matter, energy, space and time. Any thoughts on that?
Yeah, here's a thought on that: it's incoherent. You are
literally saying that time existed before time existed.
Everything in our experience has a cause if it begins to exist in the natural physical world.
That's like saying all of the elephants on the moon are purple. True, I suppose, because there are none.
Nothing in our experience begins to exist, so only in that sense everything in our experience has a cause if it begins to exist. Your claim is vacuously true.
If by "begin to exist" you are referring to, say, a table "beginning to exist" out of pre-existing wood and nails, then your argument is a red herring. The universe came to be
ex nihilo, not
ex materia, and all of our experience with things beginning to exist is
ex materia. We know nothing about
creatio ex nihilo.
Nothing. For you to make inferences on
creatio ex nihilo from
creatio ex materia is... wait for it... yep, a FALLACY. Remind me what we do with arguments that employ fallacious reasoning.
See, the difference between you and me is that I'm NOT proposing to have solved the problem of existence. I don't propose to know why the Big Bang banged. I only know that it cannot have been the same causality that we know, and I have shown this beyond any doubt. You, on the other hand, are claiming to KNOW at least some aspects of what occurred, and you are WRONG.
You haven't shown anything or any way that the universe could begin to exist without a cause.
We already agree that the universe necessarily came to exist absent the causality that we know of.
You have failed to define a new form of causality.
Not only have you failed to meet the burden of proof, you have not even put forth an argument. This is pitiful, I'm sorry to say.
Our experience informs us that everything in the natural world that begins to exist has a cause so the proof really is on you to show how that doesn't apply to the universe itself.
LOL, we already agree that the causality we know was not responsible for the Big Bang. All I have said is that I don't know why we exist, only that the causality we know was not responsible. At first I didn't want to refer to it as causality at all because of your tendency to equivocate (which is a fallacy!), but your insistence on calling it causality forces me to refer to it as a "new form of causality." Your argument is essentially that even though the fundamental law of causality that we know of cannot have been responsible for the Big Bang, it still follows that our intuitions derived from this causality show that there must have been a cause for the Big Bang. I can only LOL at this.
But in all seriousness, I've been waiting for you to define this "new form of causality." I'm sure you're getting around to it... any day now...
While I agree that the laws of physics were not in force, nor was matter, energy, space or time we know that there was "something" prior to their existence. So we know that physical time was not necessary but you haven't shown that metaphysical time would be impossible.
1. I can't prove a negative
2. I never even attempted to prove the negative you're proposing
3. I cannot even discuss this "metaphysical time" until you define what you are even talking about
You have no effective procedure for determining which laws of logic are absolute and which are manmade. You are simply cherry picking the ones that you like.
I do not think you have a proper understanding of logic, mathematics, or cosmology.
That is not a question. That is you asking me to prove something that is self-evident and transcends mankind and is universal. Something that whether or not you believe them to be absolute, you have to believe them to be so to argue your own position.
So the short answer is that you cannot prove it. Please let me know of examples in logic where you can just assume something is true without evidence or even an argument. The only examples I know of are axioms, and they are not "true" in the same sense that the propositions they derive are "true".
You have a problem understanding something that is true and what logic is? A true example of logic is a tree is a tree and not a rock.
Thank you for that, it was so very helpful.
Like I said, you can deny that they are absolute but to do so and then argue as if they are is really supporting their absolute nature.
In performing Euclidean geometry I am NOT saying that the parallel postulate is absolute. It's simply a tentative assumption from which we proceed. In performing logic I am NOT saying that the law of non-contradiction is absolute. It's simply a tentative assumption from which we proceed.
It is inexcusable for you to not understand this by now.
Is that not what you are implying about the universe? That it exists out of nothing?
My answer is that I don't know. But the problem of the universe's existence isn't the only thing I don't know. I also don't know how many times I have to tell you I don't know before you'll finally stop mischaracterizing my views.
Check.
I said it wasn't similar to what we know unless we can think something into existence.
Check.
And since we cannot think something into existence, it follows that God's act of creation was in no sense similar to causality. Now please stop equivocating. It's a fallacy, but at this point I'm not sure if you are even trying to avoid fallacies or if you are collecting them like Pokémon cards.
Please explain what it means to be rational. (Your previous definition was circular.)
In what sense was God's act of creation similar to the causality that we know? (It's not, please just ADMIT that.)
Please prove the law of non-contradiction. (You admitted you can't, so please ADMIT it's an assertion.)