Hmmm. Supertasks are not impossible, Achilles can complete his run — Banno
Supertasks are obviously logically impossible - we are talking about performing a greater than finite number of steps in a finite time:
- Finite numbers go on forever, so its not possible for the number of steps to be greater than something that goes on forever
- The process of performing steps is just adding one to the step count; there is no way addition of one can ever produce a non-finite number.
And then this post, which points out that the supposed Principle of Causation is not amongst the laws of thought, except amongst those who seek to use it as you do. — Banno
Causation is matter/energy acting on matter/energy. So causation is just Newton's laws of motion. It is completely scientific and we have masses of empirical evidence to support the fact that causation is universal.
Note that the point of this example was to show that causation is more complex than is supposed in the argument presented in the OP. It is only one of many alternate pictures which do not involve a god of one sort or another. The purpose of the example was to help you see that the conclusion only follows if one adopts a narrow understanding of causation. — Banno
Causation is indeed complex. But we can abstract out some key details:
1. Causation is matter acting on matter via Newton's laws of motion.
2. All action takes place subject to the speed of light limit, so the cause precedes the effect
3. All empirical evidence indicates that every effect has a cause (at least at macro level, probably at micro level too - I already explained how there is a cause for radioactive decay for example).
4. A cause can cause multiple effects. Each effect in its turn can cause multiple follow on effects
5. So by [4], causation must form a pyramid shape in time, the first cause being at the tip of the pyramid
6. Entropy increasing with time reenforces this view - as causes and effects multiply, things become less organised so entropy increases.
If you look at the picture of the universe:
You can see that it takes on the pyramid shape I was referring to - with the Big Bang - likely the start of time - being the first cause.
Lets cut to the chase though. Do you think that the Big Bang has a cause or was uncaused?
Since Information (mind stuff, computer stuff, matter stuff) seems to be the fundamental "substance" of the physical and metaphysical universe, I equate it with Spinoza's "Single or Universal Substance", which he also called "God". — Gnomon
Certainly seems that information is fundamental. A key question is that is information transitory, permanent or a mixture of both? For anything to exist at all in the universe, it seems there must be permanent information associated with it - the first cause is permanent. What about spacetime though? Does it contain permanent information (eternalism) or transitory information (presentism)? It could also be something in-between like growing block theory - information is permanent once created.
Please see this post, in which I repeat an obvious argument that shows that "everything has a cause" is neither falsifiable nor provable. — Banno
Nothing in science or philosophy is ultimately either falsifiable nor provable - all our deductions are based on axioms - and those axioms maybe true or false - so we can prove results only subject to our axioms being correct.
I believe that the axiom: 'Everything in time has a cause' is a very strong axiom, one which we live our everyday lives according to. Hence I have a strong conviction that there is a timeless first cause, as this is deducible from the axiom.
I'll try more. It's still that no fixed object is identical with itself over time, so, well, it's not really a fixed object, or it would still be the same, so, maybe, um, the object goes away and gets replaced with object that has progressed a bit. Enfoldment/infoldment? — PoeticUniverse
I mentioned growing block universe as a possible nature of spacetime. I wonder if that model could be used to model timeless existence in some way. So imagine a timeless thing as a brick that has permanent existence but can somehow grow as it timelessly experiences some sort of change.
There is nothing that just "exists for no reason" — Outlander
There has to be.
We can formulate a revised version of Leibniz’s PSR:
1. Everything in time has a reason
2. Nothing can be the reason for itself
3. (From 1 and 2) At least one reason must be outside of time
[1] and [2] taken together imply that there must be a thing that has no reason outside of time - the timeless first cause (first reason). This argument points to a minimum of one 'brute fact’ to act as the tip of the pyramid of causality within time. That brute fact must exist outside of time, but also be able to cause the first effect within time (the Big Bang maybe).
Something outside of time can have no cause or reason - there is nothing 'before' it and it has 'always' existed. The existence of such an object is why there is something rather than nothing, but there is of cause no 'why' about it. Without such a permanent fixture, there would be nothing at all in the universe.
The fact that past-eternal and cyclical cosmological models remain viable is of course due precisely to the fact that we know no such thing — Enai De A Lukal
Time must have a start. The past is either a finite or infinite number of days long. If its infinite, then its longer than any finite number of days. But finite numbers go on forever, so that's impossible.
The whole idea of the universe beyond planets, humans, or life itself but rather stars, galaxies, or simply the vastness that is "everything" ie. anything that can be hypothetically or theoretically explored had to have been "made". As in there was a point when "everything" (here) didn't exist or even that is.. just always did eternally. It is a pretty intimidating concept to really think about deeply. The idea of... everything and anything itself. Not much more that can be thought about I suppose. I mean really thinking about it.
So. Timelessness. Is this "outside of the universe" as in there are other "realms" that cannot ever be reached, normally, from this one? Powerful stuff. Truly.
Every event had a cause, essentially. So the Big Bang that "created" the Universe had to have been due or otherwise set into motion by... God? Timelessness? Is God more of a concept to you as in a non entity? What's up. — Outlander
I cannot say everything was created. Spacetime has a start - looks like the Big Bang probably. Matter/energy either entered spacetime at that point or was somehow created in the Big Bang. If it was the second, then some precursor matter/energy must have been inserted into spacetime as the trigger for the creation of the rest of the matter/energy. So there is something permanent outside spacetime that somehow 'caused' the Big Bang.
It appears that the 'timeless realm' either surrounds and encompasses spacetime or is causally connected to spacetime - it must be as it is the cause of spacetime.
Every effect in time has a cause, the Big Bang is in time, so it must have a cause. But logically one cause must be external to the seemingly transitory spacetime - it has a start. That cause must be timeless and permanent - it the root cause of causality - the cause of the start of time - the cause of all motion in the universe.
And thus your argument is circular: you assume that only a god can create a universe to defend the conclusion that whatever created the universe must be a god. It is not a separate point. — Kenosha Kid
I doubt the first cause can be a random process:
- The signs of fine-tuning in the universe suggest intelligence
- The start of time suggests intelligence
- I'm not convinced true random is possible. That's informationally a something from nothing. All humans have ever been able to manage is pseudo-random. Anything pseudo-random has a cause, so it does not qualify as a first cause.
That doesn't demonstrate that there can't be an infinity of causes. In fact if the (n+1)th cause can't exist without the nth cause there should be a infinity of causes — TheMadFool
A causes B. B causes C. D causes E.
If A did not cause B, would D cause E?
Hence we reach the conclusion that any causal regress must have a concrete first cause - they just can't stretch back infinitely.
Well, why can't that "something" be the universe itself? Why do you have to introduce a nth cause (god) if one takes the universe to the bet (n+1)th cause? — TheMadFool
It could possibly be that the 'God' I refer to is somehow synonymous with the universe itself - the universe itself is somehow self-driven and capable of intelligent action. But personally, I think a distinct, intelligent entity is more likely.