I’m not able to apply this to the problem at hand, sorry…
The “standard response” is “you are certainly entitled to your beliefs as I am entitled to mine, so why don’t we agree to disagree and not convince the other whose right.”
To address your specific mathmatical proof, there are different definitions of “infinity”:
Definition of a ray - A line which starts at a point and goes off in a particular direction to infinity
How many times can you divide the space between two ends of a meter stick? An infinite amount.
As for the universe being infinite, I don’t recall anyone ever making that claim. Most scientists seem to put the universe at about 14 billion years old. Prior to the Big Bang, who knows? Can there be a “before” if there is no matter?
Also, I fail to see how an infinite amount of time passing or not passing has any bearing on the existance of a God (and isn’t he supposed to be infinite
Missed the edit window…
Are you trying to imply here, as you seem to be, that there is no logical requirement that *now *be reachable? But we *have *reached now.
Yes - that’s a great summation. Is there any possible refutation of this?
Doesn’t it?
If the observer cannot observe the condition (because we are all dead) then how can anything be said about the condition?
“Honest officer, I swear that cat was alive when I put it in there, and I have no idea how that vial of radioactive what-not got broken.”
Exactly. The assumption that because the universe has numerous stars now, it must always have had stars in the past is unproven. Arguably, there may have been an extended period when the universe existed in darkness and stars are a relatively recent phenomena. If this were true, then it would be possible to have an always-existing universe that wasn’t yet filled by light.
Down that path lies solipsism. A more constructive conclusion might be to observe that the physical world obeys laws regardless of what we observe about it (we can back-extrapolate current conditions to previous conditions we didn’t directly observe and end up with consistent models) so it would continue to obey those laws regardless of how many humans exist.
I doubt that time is infinite. We don’t have any evidence that it is and, in fact, the evidence we do have points to a finite amount of past time beginning with the Big Bang.
I don’t believe so, but I would like to point out, as others have, that this is NOT an argument for the existence of God (I’m an atheist myself). It is an argument that time began at a specific point in the past (not negative infinity), no more than that.
Sure.
As I stated in my OP, the argument for God’s existence simply rests on this particular concept.
The condition is not affected by whether, 10^-8 seconds into the future, the photons released interact with a human eye. Or, in the example of Schroedinger’s cat, the universe doesn’t go and retroactively kill the cat once you open the box.
And as I and a few others mentioned before, this particular concept (by which I assume you mean your argument for only a finite amount of time having passed before now (and for only a finite amount of time remaining from now until the end of the universe?)) is thoroughly broken.
Your argument indicates that no two points in time are infinitely far apart. Fine. It does not follow that the total span of time is finite. Consider, for example, the integers: …, -3, -2, -1, 0, 1, 2, 3, … . No two of them are infinitely far apart. Yet, all the same, their span is infinite in both directions.
Okay, I’ll play.
How does the argument for God’s existence rest on the concept of you not paying a dollar until infinite time has passed?
Or did I miss something?
Not according to The Encyclopedia of Philosophy, which says that in its more common formulation, atheism refers to the active rejection of God’s existence. It’s only been in more recent times that some vocal atheists have been using the term to mean mere “lack of belief.”
Personally, I wish they would just refer to the lack of belief as “non-theism,” rather than coopting a previously established term. Heck, even the word “agnosticism” would have been better.
Time could theoretically go on forever from this point onward, the question is, could an infinite amount of time have passed up until now? Logically, I don’t see how. Alive At Both Ends has summed it up more clearly than I can.
What is the logical objection? What stands in the way of the model of seconds in time as corresponding to integers?
There is no integer such that 0 is infinitely greater than it. All the same, there are infinitely many integers below 0.
The next step in the argument is to ponder whether the universe came in to existence through a cause, or was uncaused. Step 1 is supposed to remove the “Maybe the universe has existed forever?” argument.
I can’t make any sense of this. You don’t have to “start” the count of time anywhere, if there isn’t any start of time. You’re question-begging.
Suppose I argued “There are only a finite number of miles to my left. Why? Well, otherwise, the ‘count’ of distance would have to start at negative infinity and could never reach here.” Can you see the problem with that? It’s the same problem with this argument.
You all seem to agree that time can stretch infinitely far into the future? Well, take that model of the universe, that reel of film, and just reverse it. Flip the t coordinates, so to speak. Boom! A model of the universe where time stretches infinitely far into the past. There’s nothing logically contradictory about such a thing, in itself.
The very fact that we can easily draw up a simple model of time with no starting point (e.g., the integers, or rather, the real numbers) makes it impossible for any a priori argument to prove otherwise. One must use considerations of a different flavor; e.g., empirical.
Time can theoretically go on forever. We would never “reach” the point of infinity, as infinity can not be reached.
An event can not happen after an infinite amount of time has lapsed, hence, infinity can not be preceding me hitting the ‘Post’ button… now!
Do you understand that there is a distinction between “Time stretches on infinitely into the past, with no first point” and “There is a moment in the past after which an infinite amount of time has currently elapsed”? You are arguing against the latter, but this does not disprove the former. Consider, as always, the integers, with 0 modelling the present…
The typical refutation of this line of attack is to point out that any argument you use to “prove” that the universe must have a creator can be applied to God himself.
So if the universe cannot have existed for an infinite amount of time, then neither can God. If God came into existence at some point was that event caused or uncaused? And so on.