Gjallarhorn
N'yog-Sothep
...okay then.Thank you...hope your dreams are pleasant in your grave.
Dead men don't wake up.
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...okay then.Thank you...hope your dreams are pleasant in your grave.
Dead men don't wake up.
First of all thanks for the very interesting post.
I'm actually taking a foundation of math(proofs) class right now, and I'm a little confused about the logic behind your argument(like why would you assume P and then try to prove ~P, unless you were trying to do a proof by contradiction, but you then said that we can't even show ~P is true so clearly this isn't a proof by contradiction) but I'll assume what you've said makes sense.
punkdbass said:So if at least something must always exist, then a paradox arises. If something has always existed, then that means this "something" has experienced an infinite number of events. Which logically isn't possible, for you'd think any "something" can only experience a finite amount of events.
Is there an explanation for this paradox? You seem a lot more learned on this subject than I do
so who/what caused god?Cause and effect....
one creation after another.....
No one in charge?....no one in control?....
Choose...
Spirit first.... or substance.
:biglaugh:Thank you...hope your dreams are pleasant in your grave.
Dead men don't wake up.
The hardware and software requirements are pretty difficult, but they're far from impossible. If we acquire such things in the future, hopefully they'll resurrect you for the amusement value.Dead men don't wake up.
Pratchett's metaphor is the "trousers of time." It's just somewhat annoying that trouser legs don't intersect in a way that works sensibly....assumes a strict linear nature of time (for instance, imagine a circle or a tree as opposed to a straight timeline).
Meow Mix said:It is using contradiction; it's perhaps just muddled because of all the multiple negations. Essentially, in English, assuming that it's possible for everything to be absent still vindicates the presence of something in that we still have to agree that state of affairs is self-identical, which contradicts our original notion that not anything exists (ostensibly including self-identity).
If P is the existence of anything, and ¬P is proposed, and logical self-identity is part of "anything," then we shouldn't agree that ¬P = ¬P; but we must -- contradicting our assumption that ¬P.
Meow Mix said:There isn't necessarily a paradox here. Temporal dimensions could have finite lives (with a transcendental metatime to set the stage, itself eternal), for instance. It's also not necessarily true that having an infinite number of permutations is impossible -- I certainly don't agree that "any something can only experience a finite amount of events." Can you be more specific about what aspect of that possibility you take an issue with?
If it helps, I can assume you might be coming from a direction that there are no actual infinities or that there can't be a past infinite sequence of events (else we'd never get to the present), but these both involve fallacies of understanding the nature of infinities and time. The most complex issue is the question of infinite past events: the reason the notion seems worrisome is because people try to extrapolate to some point at infinity on a hypothetical timeline and note that it would take an infinite distance to get to the present -- but this is essentially making a Zeno's Paradox sort of mistake. It's imparting too much of a Cartesian-centrism (and absolutism) to a relational state of affairs (time) for one, and assumes a strict linear nature of time (for instance, imagine a circle or a tree as opposed to a straight timeline).
Due to the recursive nature of predicate logic, logic statements themselves are part of "everything." It's just as valid to say "There exists a formula such..." as "There exists a value such..."Because if so, I don't see how saying nothing = nothing contradicts the statement that nothing exists. Hmm.. perhaps you could argue its a contradiction because the actual principle of the logical identity must exist, therefore something exists(the logical identity rule). But obviously a logical rule isn't something physical, and the entire nature of this debate is about whether or not something physical must always exist. So if we define ~P as being "it is possible for nothing physical to exist" then I do not see ~P=~P as being a contradiction.
thief said:Thank you...hope your dreams are pleasant in your grave.
Dead men don't wake up.
Due to the recursive nature of predicate logic, logic statements themselves are part of "everything." It's just as valid to say "There exists a formula such..." as "There exists a value such..."
Also, it is tautologically true that time itself has always, and always will, exist. However, the trick is that this does not imply that time is infinite. Similarly, a thing can exist for all of time, but does not need to have an infinite existence. The key being the specific semantics: "for all of time" can cover a finite amount, if time is finite, just like "for all points on the line" can still make sense even if the line in question only covers a finite distance.
Okay I think I understand what your saying, thanks for explaining. I'm still not sold on the idea that showing a logical rule exists suffices to prove that something physical MUST exist (by the proof of contradiction Meow Mix used), but for the sake of this debate I will assume you are right.
Hmm as for your second point, many issues come to my mind. It seems to me that what you have said only makes sense if "existence" itself is not necessarily eternal. That somehow existence was created(for example by the big bang, which would then create time as well). From what little I have read about the big bang, time itself was created in the big bang, and thus there was no "before" and it makes absolutely no sense to talk about what came before the big bang and thus is not a relevant question.
So the only way I can make sense of what you have said is if existence and time were created both at the same point, so thus time has always existed and always will - until someday existence is terminated(if that is possible). Which if it was, then time would officially be finite.
Am I making progress or am I way off track?
If I may....
Time never has existed.
Time is not a force or a substance.
It is a cognitive device created by man to serve man....a measurement.
It is a quotient on a blackboard....it never be anything else.
In the beginning would be nothing...the void.
No heat,no cold.....no light, no shadow....no sound, no echo.
Perfection.
For time to 'exist'....
You need at least two points so to measure distance....and movement.
Prior to the singularity...these items are not on Hand.
Which is why hawking showed without breaking any laws of nature you don't need a god to create the universe, there was no time, space or energy.
Putting god before the singularity is a "personal opinion" or "belief" only, with no facts behind it at all, not that its not possible, but there is not one shred of evidence.
Again most modern cosmologist don't believe this is the only universe, some believe this universe was formed from another via a black hole. But there are many possible explanations without the "god did it." factor that has no support at this time. We might know soon enough about other universes existing though through science, just like we laern the milkyway wasn't the entrie universe back in the late 20's when Hubble proved there were hundreds of billions of other galaxies, not just the milkyway.
Trying to deductively prove something exists via formal logic alone is rather difficult, since "exist" in formal logic could be more accurately thought of as, "exists in the 'universe' of discourse." This universe of discourse is not usually the same thing as the physical, real universe, and so proving that something logically must exist does not necessarily mean that the thing is a physical object. This is what Meow's proof shows: something (a logical proposition) must exist, although that thing is not a physical object. Although it's not a physical object, it still counts as a thing, and so is a counterexample to the statement, "Nothing exists."Okay I think I understand what your saying, thanks for explaining. I'm still not sold on the idea that showing a logical rule exists suffices to prove that something physical MUST exist (by the proof of contradiction Meow Mix used), but for the sake of this debate I will assume you are right.
Existence being created is an inherently nonsensical proposition; after all, what was doing the creating?Hmm as for your second point, many issues come to my mind. It seems to me that what you have said only makes sense if "existence" itself is not necessarily eternal. That somehow existence was created(for example by the big bang, which would then create time as well). From what little I have read about the big bang, time itself was created in the big bang, and thus there was no "before" and it makes absolutely no sense to talk about what came before the big bang and thus is not a relevant question.
Existence cannot be terminated; otherwise "nothing exists", and Meow has already outlined how that is imposisble.So the only way I can make sense of what you have said is if existence and time were created both at the same point, so thus time has always existed and always will - until someday existence is terminated(if that is possible). Which if it was, then time would officially be finite.
Just like length doesn't exist. ...Hang on.Time never has existed.
Thief said:For time to 'exist'....
You need at least two points so to measure distance....and movement.
Prior to the singularity...these items are not on Hand.
PolyHedral said:Trying to deductively prove something exists via formal logic alone is rather difficult, since "exist" in formal logic could be more accurately thought of as, "exists in the 'universe' of discourse." This universe of discourse is not usually the same thing as the physical, real universe, and so proving that something logically must exist does not necessarily mean that the thing is a physical object. This is what Meow's proof shows: something (a logical proposition) must exist, although that thing is not a physical object. Although it's not a physical object, it still counts as a thing, and so is a counterexample to the statement, "Nothing exists."
PolyHedral said:From the simplified quantum mechanics I've heard, it's more sensible to think of the Big Bang creating coherent, linear time, as opposed to time itself. During the Big Bang, time isn't linear and is instead behaving like a big mess of wibbly-wobbly quantum-y stuff that tends to loop back on itself. (And so logically doesn't have a beginning.)
The section you quoted is technically right, apart from the idea of a point prior to the singularity. That's equivalent to asking what's south of the South pole. (Almost exactly the same in fact, only in a 4-dimensional way that's quite hard to visualize.)Makes sense to me, but I also have to agree with PolyHedral that I'm sure it's a lot more complicated than that and that experts who know a lot more disagree.
You would think that, wouldn't you? You're right in the first case: logical proofs only prove things in their universe of discourse.But to think a little bit more abstractly, I don't think her proof is really that relevant to reality. Math is ultimately a man-made system, that can only "prove" things within the system(although I personally think the system of math will one day be able to apply to most things). That being said basic geometry and numbers don't actually exist in nature, and since we can never measure something to 100% accuracy, math only describes IDEAL conditions and not reality. So it would only make sense to me that proofs which use integers, real numbers, rational numbers, natural numbers, etc as their universe of discourse would subsequently only be describing IDEAL conditions as well, and not reality.
The terminology is very important here; there was no before the Big Bang, only a period in the early universe where time behaves in a way that humans can't really work with. In reality, time is not ever linear, and only appears that way on the scales humans are used to because of the law of large numbers. However, this is similar to the fact that, in reality, all mass causes time dilation and all speed causes length contraction; it's true, but the difference from "normality" is so small that we don't notice, and probably couldn't notice if we tried. The importance of the Big Bang is that, because of the high energies involved, time that progresses forward from one event to another is no longer a workable approximation.Hmm so your saying time has always existed, it just hasn't always been linear.. that before the big bang it was circular or wibbly wobbly as you say?
It can be, certainly, although you'd have to ask someone more educated as to what reasons there are to think the actual universe is one or the other.So backing up a bit, you are 100% sure time can be finite?
Remember that that "thus" isn't actually a valid inference. Would you like a more detailed explanation for why something can exist for all of finite time? (and so exist eternally, but not experience an infinite history)Because the main issue I'm having is the idea that something could have always existed - and thus would have experienced an infinite number of events which seems like a paradox to me - although Meow claims this isn't necessarily a paradox, and is possible, but obviously I lack the understanding.
This is science. Everything can be wrong, and so the only thing you're left with is what is most likely. Quantum mechanics is very likely, and the only things more likely have to explain everything QM does and more.Lastly, it seems to me that all of these cosmological theories simply describe different possibilities of how the universe exists. And as we learn more, some ideas get eliminated, and some get added - but in the end, we are only left with possibilities.. hypothetical scenarios that logically could happen, but no proof of anything.
PolyHedral said:The section you quoted is technically right, apart from the idea of a point prior to the singularity. That's equivalent to asking what's south of the South pole. (Almost exactly the same in fact, only in a 4-dimensional way that's quite hard to visualize.)
PolyHedral said:You would think that, wouldn't you?
PolyHedral said:If you'll excuse the minor tangent, I'd like to bring up the matrix hypothesis, and with it the idea that reality is indistinguishable in principle from a sufficiently powerful simulation. As far as I know, this proposition is valid; it is impossible - even in theory - to differentiate "reality" from arbitrary powerful simulation.
The connection this has to formal logic is... well, look how the computer is defined. Math can only prove things within its own universe of discourse, but that universe can contain the real, physical universe within its possibilities.
PolyHedral said:Remember that that "thus" isn't actually a valid inference. Would you like a more detailed explanation for why something can exist for all of finite time? (and so exist eternally, but not experience an infinite history)
PolyHedral said:This is science. Everything can be wrong, and so the only thing you're left with is what is most likely. Quantum mechanics is very likely, and the only things more likely have to explain everything QM does and more.