Modal Ontological Argument

  • Thread starter Thread starter SeekingCatholic
  • Start date Start date
Status
Not open for further replies.
Hehe, are we going to play word-games now?

Logic is not a physical entity, it is a concept. Concepts are not “nothing”, though they are not ontological entities. So there is no contradiction.
You’re the one playing word games now. Take your pick. Is the null universe devoid of even concepts, or just devoid of ontological entities? If it’s devoid of even concepts, then it’s devoid of the concept “this universe is empty”
And I have to stress, just because something is not logically impossible it does not mean that it can be actualized, that it can be a physically existing object. A temperature below zero Kelvin is not a logical impossibility, it is a physical one. We can imagine temperature below zero Kelvin and it does not lead to logical contradiction, but it cannot be actualized.
Yes, and I made this quite clear in the original argument, distinguishing between actual impossibility and logical impossibility.
 
That’s the modal ontological argument in a nutshell.
Then all it would prove would be that God is not impossible. It certainly wouldn’t necessitate his existence. For it to do that, you would first have to remove all references to possibility.
All you’ve done is rename God a “space unicorn”.
No. This space unicorn is utterly different from God. He doesn’t cause the universe to come into being, he merely has veto power over the creation of the universe.
Except that a necessary God must exist outside of “space”, and cannot therefore have the properties of a “unicorn”. A “space uniform” God is therefore logically impossible.
It is unimaginable, but not strictly speaking necessarily impossible. There is a difference.
Hold it right there. If logic does not exist, then the law of non-contradiction does not exist, and therefore logic could exist and not exist at the same time.
A) Strawman. I’m saying that “existence” has a different meaning for things like logic and math than for, say, a piece of granite, and that they two cannot be equated as you are attempting to do.
B) And that is not actually illogical. It is beyond logic, but it doesn’t actually contradict it, because contradictions are impossible. And not. See, this is only a paradox because we’re using words, which presuppose the law of non contradiction. More to the point, we’re both presupposing said law in this discussion anyway, so getting outside of it is impossible. But that doesn’t mean the law must hold, only that we can’t talk about what it would be like if it didn’t.
If you’re going to deny basic axioms of logic, we can go no further. Your response to a logical proof of the existence of God is to deny the existence of logic. That doesn’t at all rebut the proof as a logical proof, which assumes logic as a starting point.
I’m not actually denying logic, as I said above.
Ridiculous. Words state the contradictions but don’t make them.
Of course they do. If the law of noncontradiction holds, then contradictions are impossible in the real world. They can only exist in language, which may or may not make sense.
 
Then all it would prove would be that God is not impossible. It certainly wouldn’t necessitate his existence. For it to do that, you would first have to remove all references to possibility.
If God is not logically impossible, then He exists.
  1. God is defined as necessary being, the definition of which is one that exists in every logically possible world.
  2. Therefore, if God does not exist, He does not exist in any logically possible world; ergo, His existence is logically impossible.
  3. God does not exist → His existence is logically impossible implies God’s existence is logically possible → He exists.
This follows from the basics of modal and propositional logic. You can deny this only if you wish to deny basic logic. We’re assuming basic logic for the purposes of the discussion. Every argument for anything must start with assumed, unproven axioms. I’m not willing to discuss any type of argument here that denies the law of identity, law of non-contradiction, etc. It is axiomatically ruled out of bounds by the stipulation that this is a logical argument. I’m also assuming these laws apply to all possible universes, and again any argument to the contrary is ruled out axiomatically.

Now, having gotten this far, one of the two following propositions must be true: God is logically possible, and therefore exists; or there is a logically possible world without God, and therefore He does not exist (as a necessary being).

The same argument of course applies to any hypothesized necessary being, not just God. The argument doesn’t in itself prove God is the only necessary being, but also can be used to rule out other alleged necessary beings.
No. This space unicorn is utterly different from God. He doesn’t cause the universe to come into being, he merely has veto power over the creation of the universe.
Then it is logically possible for God to create a world without a space unicorn, disproving the space unicorn’s existence as a necessary being. His existence is only contingent.

We can see from this that a necessary being, if He exists, must be the first cause, and the only possible first cause. Otherwise it would be logically possible for another first cause to create a world without Him, or for such a world to come into existence without a cause, and without God in it. Therefore, God must also at least have the power to prevent causeless worlds without Him coming into existence.
It is unimaginable, but not strictly speaking necessarily impossible. There is a difference.
No, your space unicorn God is logically impossible, as I showed above. He is only a contingent being.
A) Strawman. I’m saying that “existence” has a different meaning for things like logic and math than for, say, a piece of granite, and that they two cannot be equated as you are attempting to do.
It’s a contradiction in terms to be talking about “logically possible” entities without presupposing logic, in whatever manner the expression “logic exists” is taken to mean.
I’m not actually denying logic, as I said above.
If you’re denying the universal applicability of logic, then it amounts to the same thing. And such a supposition is axiomatically out of bounds for the present discussion.
 
If God is not logically impossible, then He exists.
This is the essence of your argument and it is nothing but an unproven assumption. Just because something is not logically impossible it does not mean that this entity actually exists. Maybe you consider it an axiom. It is certainly not axiomatic to me. If you do not think that it is a axiom, then go ahead and prove it.
  1. God is defined as necessary being, the definition of which is one that exists in every logically possible world.
The concept of “necessary being” is an arbitrary one. Cannot be taken seriously.
  1. God does not exist → His existence is logically impossible implies God’s existence is logically possible → He exists.
Total and complete baloney. To say that the logical impossibility of something (anything) implies that it is logically possible is a blatant disregard for logic.

The truth table of implication is:

T → T = T
T → F = T
F → T = F
F → F = T

So there.
 
This is the essence of your argument and it is nothing but an unproven assumption. Just because something is not logically impossible it does not mean that this entity actually exists. Maybe you consider it an axiom. It is certainly not axiomatic to me. If you do not think that it is a axiom, then go ahead and prove it.
I just did prove it in the case of God, or any other necessary being for that matter. If a necessary being is logically possible it does mean that this entity actually exists.
The concept of “necessary being” is an arbitrary one. Cannot be taken seriously.
Rather, your opinion of what can be “taken seriously” is arbitrary. Why should I or anyone else take you seriously when you lecture about what should be taken seriously? In fact if you are reduced to merely arguing about what should be “taken seriously” then it only tells me you are sinking fast in this debate and know it.

“Necessary being” is quite well defined. A necessary being exists in all logically possible worlds. There is no logically possible world without the necessary being in it.
Total and complete baloney. To say that the logical impossibility of something (anything) implies that it is logically possible is a blatant disregard for logic.
Which is of course not what was said, if you would have actually cared to read the entire statement, instead of simply latching onto something which you could misrepresent as a “blatant disregard for logic”. So let me repeat:

If God does not exist, His existence is logically impossible. Therefore, if God’s existence is logically possible, He exists.

This is plain propositional logic (A → B means ~B → ~A).

The first statement comes from the definition of a necessary being. If God exists, He exists in all logically possible universes by definition. If God does not exist, He exists in no logically possible universe; His existence is therefore logically impossible.
 
I just did prove it in the case of God, or any other necessary being for that matter. If a necessary being is logically possible it does mean that this entity actually exists.
Since the concept of a “necessary being” is just an assumption, you did not prove anything. If something is not logically impossible, from that it follows that this “thing” is logically possible, nothing more. You have to prove that a “being” actually exists in all possible worlds. Even if it did, it would not mean that this hypothetical being is “necessary”, all it would prove that there is a being in all possible worlds. But, since the null-world by definition does not contain anything, you there is no being in all possible worlds, and as such all your efforts are futile.
Rather, your opinion of what can be “taken seriously” is arbitrary. Why should I or anyone else take you seriously when you lecture about what should be taken seriously? In fact if you are reduced to merely arguing about what should be “taken seriously” then it only tells me you are sinking fast in this debate and know it.
That is not an arguement, just an ad hominem. Dime a dozen…
“Necessary being” is quite well defined. A necessary being exists in all logically possible worlds. There is no logically possible world without the necessary being in it.
Sure, it is a definition, and it is clear and coherent. But it does not follow that such a being actually exists. Sure, there are some philosophers who argue that there is such a “thing” as a “necessary being”. And there are others who find this concept incoherent. Until you or anyone else can prove that there is a “necessary being” (not just assume it), your assumption is just like any other unsupported assumptions - without merit.
If God does not exist, His existence is logically impossible. Therefore, if God’s existence is logically possible, He exists.

This is plain propositional logic (A → B means ~B → ~A).

The first statement comes from the definition of a necessary being. If God exists, He exists in all logically possible universes by definition. If God does not exist, He exists in no logically possible universe; His existence is therefore logically impossible.
Your error is very simple: The negation of “logically impossible” is not “actually exists”, it is simply “logically possible”. And no matter how many times you repeat it, from the “logically possible” to “actually existing” there is no path…
 
Sorry to say, ateista, your argumentation here is fundamentally intellectually dishonest. Your attitude reminds me very much of six-day creationists. They will not accept evolution and an old universe no matter how much evidence is presented, because their minds are already made up. Hence the data and theories are often dishonestly misrepresented, and the same (sometimes really silly) arguments refuted a thousand times come up over and over again. You’re doing the same kinds of things. You’re misrepresenting the argument, and bringing up the same points refuted over and over again. Let’s go over it again…
Since the concept of a “necessary being” is just an assumption, you did not prove anything.
A concept is not an assumption. A concept is a concept. I don’t assume anything. I can conceive of a 100 foot tall human being. Doesn’t mean he exists, but there is no assumption involved in the conception.

I define a “necessary being” as one that exists in all logically possible worlds. I can define whatever I want. I don’t assume, a priori, that such a necessary being exists.

If a necessary being exists, there are no logically possible worlds without it. If a necessary being doesn’t exist, there are no logically possible worlds with it, hence its existence is logically impossible. This follows from the definition. Nowhere is the existence of the necessary being assumed here.
If something is not logically impossible, from that it follows that this “thing” is logically possible, nothing more.
This is mere argument by assertion. No, as my proof shows, if that something is a necessary being, if that something is not logically impossible, then it exists.
You have to prove that a “being” actually exists in all possible worlds.
That being must exist only in all logically possible worlds.
And, all I would need to prove is the logical possibility of the being’s existence, if that is the case, the being exists in all logically possible worlds.
Even if it did, it would not mean that this hypothetical being is “necessary”, all it would prove that there is a being in all possible worlds.
That is the definition of “necessary” as I have defined it - existing in all logically possible worlds. It’s “necessary” in the sense that any logically possible world without it is impossible. Yes you are correct insofar as there must be a logical reason as to why the being’s existence is necessary - otherwise there will be a logically possible universe without him. IOW, the being’s necessity must be shown to be logically possible - the necessity is part of the attributes of the being.

This shows that such a being, if he exists, must be the first cause, and the only first cause, of everything else that exists, and would be the first cause of everything that might exist. (Otherwise a logically possible world could exist, created by some other being and without him in it). Such a scenario is logically possible. And makes his necessity logically possible.
But, since the null-world by definition does not contain anything, you there is no being in all possible worlds, and as such all your efforts are futile.
All logically possible worlds, not merely all epistemically possible worlds. I agree the null-world is epistemically possible. I deny it is logically possible.

It is no answer to say “there are no logical propositions and therefore no logical contradictions” in the null-world. Because, my “logical argument” assumes logic axiomatically for all possible worlds, and without this the very notion of a “logically possible” world makes no sense. This is the nature of a “logical proof”. Axioms of logic must be assumed. Arguing otherwise is like “refuting” a proof in Euclidean geometry by pointing out the existence of non-flat spaces. That proof assumes the axioms of Euclidean geometry, and my proof assumes the universally applicable axioms of logic. If you want to dispute that, that’s an argument for another thread. (Cont…)
 
That is not an arguement, just an ad hominem. Dime a dozen…
Hey, you dish it out pal, you better be willing to take it. If you think to dismiss an argument by merely saying it should not be “taken seriously”, as judged by you, well then… you sort of had it coming.
Sure, it is a definition, and it is clear and coherent. But it does not follow that such a being actually exists.
Of course not.
Sure, there are some philosophers who argue that there is such a “thing” as a “necessary being”. And there are others who find this concept incoherent. Until you or anyone else can prove that there is a “necessary being” (not just assume it), your assumption is just like any other unsupported assumptions - without merit.
Of course not. The existence of a necessary being is not assumed.
Your error is very simple: The negation of “logically impossible” is not “actually exists”, it is simply “logically possible”.
The argument did not say the negation of “logically impossible” is “actually exists”. Misrepresenting the argument yet again. The argument does negate logically impossible as logically possible.

If a necessary being does not exist, its existence is logically impossible. (Shown above) Therefore,
If a necessary being’s existence is logically possible, it exists.
And no matter how many times you repeat it, from the “logically possible” to “actually existing” there is no path…
As was shown to you numerous times, the path is marked out in blazing colors.
 
  1. God is defined as necessary being, the definition of which is one that exists in every logically possible world.
You should probably be using the terms “Unmoved mover” and “It” or something, then, since “God” is far and away too ambiguous in this context.

In any case, this seems to be the internally consistent statement: “An unmoved mover must necessarily exist, by its own definition.”
2. Therefore, if God does not exist, He does not exist in any logically possible world; ergo, His existence is logically impossible.
In other words, “If there is no unmoved mover, then its definition is incorrect.”
3. God does not exist → His existence is logically impossible implies God’s existence is logically possible → He exists.
I’m not following this at all. Perhaps you forgot some punctuation?

A->B doesn’t necessarily mean ~A->~B. “If it rains, the ground will be wet” doesn’t necessarily mean “if it doesn’t rain, the ground will be dry.”

Additionally, it seems to me that you’re making the assumption that the UmM is not logically impossible.
 
Let’s cut to the chase:
All logically possible worlds, not merely all epistemically possible worlds. I agree the null-world is epistemically possible. I deny it is logically possible.
If you deny it, then you should be able to present a proof that the null-world actually contains an ontological contradiction. Since the null-world is empty, there is nothing in it, therefore there can be no contradiction in it. To paraphrase the old saying: “Which part of empty don’t you understand? :)” (And this is meant to be a joke - not a put-down!).

As BlaineTog correctly expressed, “actual” contradictions cannot exist as ontological entities, they can only “exist” as verbal games.

The law of contradiction is merely the abstract, conceptual, verbal expression of the fact that ontological entities cannot have mutually exclusive attributes at the same time in the same respect.

Concepts are not ontological entites, propositions are not ontological entities, that is why a phrase like “married bachelor” can and does exist in this world. However, this world physically exists and therefore it is logically possible. The actual, physical existence of a “self-contradictory” statement (“this proposition is false”) does not invalidate the existence of this world.

Therefore the mere possibility of a logical contradiction cannot invalidate the “logical possibility” of a hypothetical world (to wit: the null-world), only the actual existence of an ontological contradiction can do that.

And since the null-world (by definition) does not contain any ontologially existing objects, there can be no actual contradiction in it. As opposed to any arbitrary hypothetical and logically possible world (of which we cannot know anything) the null-world is unique. We know everything about this world - namely that it is empty, it contains no ontological objects.

Therefore the null-world is logically possible, and from that follows that there can be no “necessary being”.

Q.E.D.

And a side remark. I was not aware that the declaration of something as “not to be taken seriously” constitutes an “ad hominem” in your vocabulary. It was not meant to be directed at you (and I was careful in the phrasing not to make it seem like it), it was just an assessment of the proposition. I am sorry that it could be misunderstood, but I don’t think that it was my fault.
 
I will give you a formal proof that the null-world is logically possible.
  1. We know about one world which physically exists, and therefore it is logically possible - namely our world.
  2. If a world is logically possible, then each subset of this world is also logically possible. It is impossible have a world, which is logically impossible and have it fully imbedded in a logically possible world.
  3. The null-world is the subset of any world, therefore it is also a subset of this world.
Therefore the null-world is logically possible.

Here is the constructive algorithm: you can delete any ontological entity from a logically possible world (and it will remain logically possible), and when you finish the process, you will arrive at the null-world.
 
Gentlefolk:

this subject is of intense interest to me, and when I have time i will read all yer posts.

I’ve studied Hartshorne’s take on the modal OA, but I am unread in more recent versions.

Here is how I approach the proof. If we define God as the greatest, unsurpassible reality (after all, why would we worship a lesser being?), then we must pay attention to His attributes which are thus implied. We then contemplate the two different modes of existence, contingent and necessary. Which of these is “mo’ betta” and thus consistent with our definition of God as the Bestest Being, Period! Without Exception!? Necessary existence, of course.

so, if our definition makes sense, God must exist.

Note that the argument is now narrowed to one between what Hartshorne calls logical positivism and theism. Other positions, such a empircal atheism and empirical theism are ruled out as being confused positions.

Great topic! Gotta run and chase a buck.

coridally,

Frank
 
You should probably be using the terms “Unmoved mover” and “It” or something, then, since “God” is far and away too ambiguous in this context.
OK, I can go with that.
In any case, this seems to be the internally consistent statement: “An unmoved mover must necessarily exist, by its own definition.”
I can go with that, too, when the meaning of “necessarily exists” is “exists in every logically possible world”.
In other words, “If there is no unmoved mover, then its definition is incorrect.”
Don’t follow you here. We can correctly define an unexisting object.
I’m not following this at all. Perhaps you forgot some punctuation?
A->B doesn’t necessarily mean ~A->~B. “If it rains, the ground will be wet” doesn’t necessarily mean “if it doesn’t rain, the ground will be dry.”
A->B necessarily means ~B->~A.

UM does not exist → its existence is logically impossible
necessarily means
The existence of UM is logically possible → it exists.
Additionally, it seems to me that you’re making the assumption that the UmM is not logically impossible.
Part 1 of the proof doesn’t do this. The only thing Part 1 of the proof does (which this is) is establish that either: the UM exists or the UM is logically impossible.

Part 2 of the proof is devoted to distinguishing between the two choices.
 
I will give you a formal proof that the null-world is logically possible.
The proof fails.
  1. We know about one world which physically exists, and therefore it is logically possible - namely our world.
Yes.
  1. If a world is logically possible, then each subset of this world is also logically possible. It is impossible have a world, which is logically impossible and have it fully imbedded in a logically possible world.
Not true. I begin with a causal chain of events (there can be a first mover or the chain can be an infinite regress, it doesn’t matter). In this universe it is logically impossible for each event to exist without the prior cause. But each event in the chain is only capable of causing the event immediately after it, not the one two steps removed. Therefore the subset of this world which consists of removing every other event in the chain is logically impossible. Each remaining event is there without its logically necessary cause.

Or, put more simply, in a world in which A → B, the subset of this world in which A exists but B does not is logically impossible. You may argue that not all worlds contain the relation A → B. I reply that they do. Without an agreement as to precisely what logical relationships are necessary in each world, it is in fact impossible to show whether any given world is logically possible or not, with the obvious exception of our own, since it exists. I can therefore claim the logical relationships which exist in our world are necessary in all logically possible worlds, and you can’t refute the claim.
  1. The null-world is the subset of any world, therefore it is also a subset of this world.
Therefore the null-world is logically possible.
Here is the constructive algorithm: you can delete any ontological entity from a logically possible world (and it will remain logically possible), and when you finish the process, you will arrive at the null-world.
This would be true if your constructive algorithm had universal applicability. It doesn’t. There are logical relations between the ontological entities. These logical relations are not ontological entities in themselves. Yet they can, in given circumstances, necessitate the existence of an ontological entity under pain of logical impossibility; and, therefore, deleting that ontological entity results in a logically impossible world.
 
Let’s cut to the chase:

If you deny it, then you should be able to present a proof that the null-world actually contains an ontological contradiction. Since the null-world is empty, there is nothing in it, therefore there can be no contradiction in it.
I misspoke. What I should have said, and meant, was that I deny the necessary knowledge upon which to conclude that the null-universe, or any universe for that matter, is logically possible or impossible, with only two exceptions: our universe (since it exists), and any universe with a known logical impossibility (a married bachelor). Otherwise, we need to know everything about it. And don’t.

Now I am assuming the laws of logic, mathematics, etc., still apply to this null-world (axiomatically) as well as all worlds. If the null-world involves contravening these laws then this is what I mean by “logically impossible”.

I would like to point out here that the argument can be made (cf. Victor Stenger) that, assuming the laws of mathematics and physics, etc., the reason “something” exists rather than “nothing” is because “something” is more stable than “nothing” - “nothing” is an unstable state which will, inevitably, give way to “something”. If this is the case, “something” must exist.
Concepts are not ontological entites, propositions are not ontological entities, that is why a phrase like “married bachelor” can and does exist in this world. However, this world physically exists and therefore it is logically possible. The actual, physical existence of a “self-contradictory” statement (“this proposition is false”) does not invalidate the existence of this world.
An actual married bachelor cannot exist. A world with an actual married bachelor (as opposed to the existence of the phrase) is a logically impossible world. The married bachelor can be shown to violate the law of non-contradiction.
Therefore the mere possibility of a logical contradiction cannot invalidate the “logical possibility” of a hypothetical world (to wit: the null-world), only the actual existence of an ontological contradiction can do that.
A real logical contradiction, as opposed to one merely stated in words, would violate the logical possibility of any world in which it appears.
And since the null-world (by definition) does not contain any ontologially existing objects, there can be no actual contradiction in it.
Sometimes the laws of logic mandate the existence of certain ontological entities. For instance, an object A which, of its nature, changes into object B (for instance, radioactive decay in this universe). The existence of object A mandates the existence of object B. A universe with A and without B is a logically impossible universe.
As opposed to any arbitrary hypothetical and logically possible world (of which we cannot know anything) the null-world is unique. We know everything about this world - namely that it is empty, it contains no ontological objects.
No, we don’t know everything about a null world. All we know is that nothing actually exists. We don’t know anything about anything that could hypothetically exist. Which is what we need to know. If the logical relationship between hypothetical objects A and B is such that ~A → B, and this relationship is true in every hypothetical world, including the null world, then the null world is logically impossible. I don’t know that such a relationship exists. Or not. Neither do you.
Therefore the null-world is logically possible, and from that follows that there can be no “necessary being”.
As I have shown, this assumes knowledge about the nature of existence which we don’t possess.
And a side remark. I was not aware that the declaration of something as “not to be taken seriously” constitutes an “ad hominem” in your vocabulary. It was not meant to be directed at you (and I was careful in the phrasing not to make it seem like it), it was just an assessment of the proposition. I am sorry that it could be misunderstood, but I don’t think that it was my fault.
OK, so may be it wasn’t an “ad hominem” strictly speaking, but it was still silly and annoying, and is of no value whatsoever to the argument.
 
Not true. I begin with a causal chain of events (there can be a first mover or the chain can be an infinite regress, it doesn’t matter). In this universe it is logically impossible for each event to exist without the prior cause. But each event in the chain is only capable of causing the event immediately after it, not the one two steps removed. Therefore the subset of this world which consists of removing every other event in the chain is logically impossible. Each remaining event is there without its logically necessary cause.
True. However, I did not specify the order of removal. When contemplating the causal chains, we can do the removal systematically, in reverse causative order, and this method is valid and does not lead to “hanging events”. So your objection may be valid for “haphazard” removals, but not for systematic ones.

Indeed, I was sloppy and did not specify the order of removal, I thought it would be obvious. You were correct to point out my sloppyness.
Or, put more simply, in a world in which A → B, the subset of this world in which A exists but B does not is logically impossible.
That is not true. Removing my child from the world does not negate my existence. I suspect that you made a typo and wanted to state that removing “A” would leave “B” as uncaused. Even though this suggestion leaves out the possibility that “B” could have been cause by either “A” or “C”, and thus removing “A” does not leave “B” uncaused.
This would be true if your constructive algorithm had universal applicability. It doesn’t. There are logical relations between the ontological entities. These logical relations are not ontological entities in themselves. Yet they can, in given circumstances, necessitate the existence of an ontological entity under pain of logical impossibility; and, therefore, deleting that ontological entity results in a logically impossible world.
In the case of “reverse causative” removal this objection does not hold. And the end result is still the null-world, which is therefore logically possible.
 
I misspoke. What I should have said, and meant, was that I deny the necessary knowledge upon which to conclude that the null-universe, or any universe for that matter, is logically possible or impossible, with only two exceptions: our universe (since it exists), and any universe with a known logical impossibility (a married bachelor). Otherwise, we need to know everything about it. And don’t.
I agree with your two exceptions, but I think we can add the null-world as third. Below I will give my reasons why I think so.
Now I am assuming the laws of logic, mathematics, etc., still apply to this null-world (axiomatically) as well as all worlds. If the null-world involves contravening these laws then this is what I mean by “logically impossible”.
Since we agree that these laws (which are simply a few axioms and their corollaries) are not ontological entities, I hope we can agree that their existence or non-existence in the null world is irrelevant to our current topic. (It might be interesting to explore what does the word “existence” mean when applied to these entities.)
I would like to point out here that the argument can be made (cf. Victor Stenger) that, assuming the laws of mathematics and physics, etc., the reason “something” exists rather than “nothing” is because “something” is more stable than “nothing” - “nothing” is an unstable state which will, inevitably, give way to “something”. If this is the case, “something” must exist.
I am not familiar with this, but at first sight it does not look reasonable. “Nothing” is stable, since it is unchangable. “Something” can never be as stable, as the laws of nature indicate it. But maybe your meaning of “something” is something that I am not familiar with. (Ugh, what a sentence.)
An actual married bachelor cannot exist. A world with an actual married bachelor (as opposed to the existence of the phrase) is a logically impossible world. The married bachelor can be shown to violate the law of non-contradiction.
Agreed.
A real logical contradiction, as opposed to one merely stated in words, would violate the logical possibility of any world in which it appears.
Agreed.
Sometimes the laws of logic mandate the existence of certain ontological entities. For instance, an object A which, of its nature, changes into object B (for instance, radioactive decay in this universe). The existence of object A mandates the existence of object B. A universe with A and without B is a logically impossible universe.
Your example is contingent upon the currently known laws of the physical universe. I don’t see that the laws of logic (which are the rules of clear thinking process) could mandate the actual existence of anything. Maybe you could give another example.
No, we don’t know everything about a null world. All we know is that nothing actually exists. We don’t know anything about anything that could hypothetically exist.
This is the point where I want to explain my reasoning about the full “knowability” of the null-world. When we talk about all logically possible universes we can postulate that there is exactly one of each. It would make no sense to postulate two or more identical universes. Now, if we assume that the null-world could hypothetically change and cease to be a null-world, then this new world would not be a null-world, it would be one of the already postulated worlds. And that is not necessary, since all the other worlds are already postulated. Therefore the null-world is unchangable.
Which is what we need to know. If the logical relationship between hypothetical objects A and B is such that ~A → B, and this relationship is true in every hypothetical world, including the null world, then the null world is logically impossible. I don’t know that such a relationship exists. Or not. Neither do you.
But we do know. Since the “objects” you speak of must be objectively existing othological objects, and not just concepts, we know from the definition that no such objects exist in the null-world, therefore no relationship can exist between them either. This is the beauty of the abstraction of the null-world. It can be fully known, unlike our universe which can only partially be known. Though we do know with certainty that our universe cannot contain an actual logical contradiction.
 
True. However, I did not specify the order of removal. When contemplating the causal chains, we can do the removal systematically, in reverse causative order, and this method is valid and does not lead to “hanging events”. So your objection may be valid for “haphazard” removals, but not for systematic ones.

Indeed, I was sloppy and did not specify the order of removal, I thought it would be obvious. You were correct to point out my sloppyness.
It doesn’t matter whether the order of removal is obvious or not. My objection negates your proof. For it to be a proof now you are going to need to provide more.

What you said was this:
  1. If a world is logically possible, then each subset of this world is also logically possible. It is impossible have a world, which is logically impossible and have it fully imbedded in a logically possible world.
So you admit 2) is wrong then. What you really mean is that if a world is logically possible, there is a subset of the world which is also logically possible, not that each subset of the world is logically possible, by definition. You need to provide a formal proof of this then.
That is not true. Removing my child from the world does not negate my existence. I suspect that you made a typo and wanted to state that removing “A” would leave “B” as uncaused. Even though this suggestion leaves out the possibility that “B” could have been cause by either “A” or “C”, and thus removing “A” does not leave “B” uncaused.
No, what I meant was, in a universe where “A” causes “B” by necessity, e.g. if you have an “A” you (definitely, not just maybe) get a “B”, and that is the only way to get a “B”. If you by nature and not by choice are forced to procreate, and it is impossible that a procreation attempt could be unsuccessful, then a world in which you don’t have a child is logically impossible.
In the case of “reverse causative” removal this objection does not hold. And the end result is still the null-world, which is therefore logically possible.
In the first place, the burden of proof is on you to prove the assertion “for each logically possible world there exists a subset which is also logically possible”. There may be another objection besides that of causation which holds in these cases.

And what you say is not true no matter how you slice it anyway. There either has to be an infinite regress or a first cause.

In the case of an infinite regress, every subset of the infinite regress, obtained via reverse causative removal of a finite number of causes, is logically possible. I’ll grant you this, because it was at one point in the past the actually existent universe, which means it must be logically possible.

But you still have an infinite regress when you’re done, no matter how many causes you remove. You don’t get to the null-world this way. As I pointed out ad nauseam to those who didn’t get the point in the thread on infinite regress, t = -infinity never “actually existed” and therefore the null-universe cannot be proven logically possible in this manner. Every point that actually existed existed at a finite time in the past, even assuming an infinite regress. Note here that I am not denying the possibility of an infinite regress. But the logical possibility of an infinite regress does not imply the logical possibility of a null-world.

In the case of a first cause, you can get to the first cause by removal but not beyond, for this is no longer removal from a causal chain. Whether the first cause itself can be removed is a separate question. We cannot ask what was “before” this point, causally speaking.

If this first cause is the necessary being, his removal is logically impossible, because he must exist. Why must he exist? Because it’s his nature to exist necessarily. IOW, if God exists, His non-existence is logically impossible by definition.
 
Without pretending to have as firm a grasp as you guys in this thread I would like to ask a question or two.

Can you really assert a null-world and claim that nothing ontologically exists there since, necessarily, the null-world would itself have an ontological existence and therefore be subject to the rules of logic because such a world could not exist and not-exist at the same time and in the same relationship?

Also, does reducing non-contradiction to a ‘concept’ make it irrelevant? I mean, I am assuming that ateista and Blaine Tog both will not step out in front of a moving city bus because you both know that in reality it actually is you or the bus and it cannot be both.
 
I agree with your two exceptions, but I think we can add the null-world as third. Below I will give my reasons why I think so.
OK, I’ll give you my reasons why I think not. Basically it comes down to the applicability of laws governing existence or non-existence.
Since we agree that these laws (which are simply a few axioms and their corollaries) are not ontological entities, I hope we can agree that their existence or non-existence in the null world is irrelevant to our current topic. (It might be interesting to explore what does the word “existence” mean when applied to these entities.)
OK.
I am not familiar with this, but at first sight it does not look reasonable. “Nothing” is stable, since it is unchangable. “Something” can never be as stable, as the laws of nature indicate it. But maybe your meaning of “something” is something that I am not familiar with. (Ugh, what a sentence.)
But actually, modern physics shows that the laws of nature indicate “something” is more stable than “nothing”.
As Nobel Laureate physicist Frank Wilczek has put it, “The answer to the ancient question ‘Why is there something rather than nothing?’ would then be that ‘nothing’ is unstable.”
In short, the natural state of affairs is something rather than nothing. An empty universe requires supernatural intervention - not a full one. Only by the constant action of an agent outside the universe, such as God, could a state of nothingness be maintained.
colorado.edu/philosophy/vstenger/Godless/Origin.pdf
Your example is contingent upon the currently known laws of the physical universe.
Yes, but again, as Vic Stenger has shown (he is an atheist BTW), these laws are not “contingent” but follow necessarily from the fact that if physics is going to describe an objective reality, it cannot be dependent on the point of view of the observer (e.g. space-translation invariance, etc.) - Noether’s theorem shows that leads to a conservation law and the rest of the laws follow from gauge invariance.

colorado.edu/philosophy/vstenger/Nothing/Laws.pdf
I don’t see that the laws of logic (which are the rules of clear thinking process) could mandate the actual existence of anything. Maybe you could give another example.
If these physical laws apply universally to all universes (and I think have provided a very good argument why this is the case), and these physical laws show that “something” is more stable than “nothing”, that “nothing” will turn into “something”, I think I have shown that it is at least possible that laws of logic could mandate the existence of something.
This is the point where I want to explain my reasoning about the full “knowability” of the null-world. When we talk about all logically possible universes we can postulate that there is exactly one of each. It would make no sense to postulate two or more identical universes. Now, if we assume that the null-world could hypothetically change and cease to be a null-world, then this new world would not be a null-world, it would be one of the already postulated worlds.
But here is where we differ. There could be laws of existence, applicable to all universes, which mandate that a null universe change.
And that is not necessary, since all the other worlds are already postulated. Therefore the null-world is unchangable.
You can define it that way, but that does not prove its logical possibility.
But we do know. Since the “objects” you speak of must be objectively existing othological objects, and not just concepts, we know from the definition that no such objects exist in the null-world, therefore no relationship can exist between them either.
No, there is a metaphysical area between mere “concepts” and “objectively existing ontological objects”. There is such a thing as “hypothetically existing ontological objects” and relationships can exist between them. These objects do not exist in our universe, but they exist in other universes and might exist in ours. It is possible universally valid relationships exist between them.
This is the beauty of the abstraction of the null-world. It can be fully known, unlike our universe which can only partially be known. Though we do know with certainty that our universe cannot contain an actual logical contradiction.
The null-world cannot be fully known. All that is known is what exists actually. What exists potentially is unspecified.
 
Status
Not open for further replies.
Back
Top