@ltdaleadergt,
Sure, I'll break it down.
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First.
"I believe in eternal recurrance? I call it indigestion. Tums seems to works best, but Pepto Bismol works just as well." (VideCorspoon)
This was an incredibly bad and corny joke? Not funny Ha HA funny, but funny, what the? oh yeah? but that was still a lame joke funny.
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Now for eternal recurrence?
First, let's look at the definition of Eternal return (i.e. eternal recurrence.)
DEFINITION
"Eternal return ? is a concept which posits that the universe has been recurring, and will continue to recur in the exact same self-similar form an number of incomprehensible and unfathomable number of times."(Nitish)
So, basically?
Eternal return is a
concept which states that
the universe has been repeating, and will
continue to repeat in the exact same
self-silmiliar form a number of "times."
It is here that we can break down the concept?
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LINEAR TIME
When it is said that "the universe is repeating and will continue to repeat," it is meant that the universe is non linear. What is meant by non linear. If you picture existence as a line for example, with a point (which is you) on it, that line will continue onwards from the beginning of time to the end of time. IMPORTANT - A SINGLE LINE CANNOT INTERSECT ITSELF? so it could not repeat itself since it is not connected in that way.
|Beginning of time|---------- (you) --------------------->|end of time|
It is important to note that this is a hypothetical assumption for our inquiry, so don't assume this is the real way the fabric of time and space are. THIS IS NOT HOW THE UNIVERSE IS ACCORDING TO ETERNAL RECURRANCE.
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ETERNAL RECURRANCE AND NON- LINEAR TIME
In eternal recurrence, time is non-linear, which means that it is circular. Of course it does not have to be circular like the shape we know and love, it can be any shape off by a fraction of a degree that eventually intersects itself. But this is where it gets interesting, and I quote again from Nittish.
"Eternal return ? is a concept which posits that the universe has been recurring, and will continue to recur in the exact same self-similar form an number of incomprehensible and unfathomable number of times."(Nitish)
Now look carefully at the words, "? in the exact same self similar form?" as though we are examining Aristotelian text very carefully.
REMEMBER - In order for time to continue, there must be some connectivity? the "line" of time must intersect itself.
SO?"? in the exact same self similar form?" means that time repeats
itself in a homeomorphic way, that is, in a similar
shape. Why in the heck do I say homeomorphic?
Obviously, and this is very important, TIME DOES NOT EXACTLY REPEAT ITSELF. How do I know this? I can give you an explanation, but then I would be writing a book and not a comment.
Read Spinoza and the bundle theory of self to get more of an idea of this topic.
Time is connected with itself, for the purpose of this theory, but it must change shapes? If I go any further, this will become a discussion in astrophysics which is tedious and boring. But even if it changes shapes, for the purposes of this theory, it is Circular in its repetition.
So, the last few paragraphs boil down to this?
time is circular? thats it. That's the connotation of saying existence is round instead of flat.
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SO WHY IS ETERNAL RECURRANCE DEFUNCT? or really, why is this theory problematic.
We have an image of what eternal recurrence might actually look like. Take a piece of paper and draw a circle really fast ten times. The circle is not a perfect circle, it has deviations when you draw it from going so fast. But it is still connected because you did not take the pencil up when you drew all ten circles.
You could say? if you wanted to argue it this way, that time has many points of intersection within the same circle of existence. But that's not what we want.
We want to say that
ETERNAL RECURRANCE IS DEFUNCT because Circular time could never be (at this point) because of XENO'S PARADOX.
Fist, let me explain Xeno's paradox.
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In Xeno's paradox? say I shoot an arrow at a target 20 feet away. That arrow must travel that 20 feet in order to hit the target. But here is the rub. In order for that arrow to travel that twenty feet, it has to travel ten feet (half the distance) to get to its destination FIRST. BUT!!!! Here's where it starts getting complicated. In order for it to travel that half distance (10 feet), it has to travel five feet FIRST. In order for it to travel the five feet, it has to travel the half distance of 2.5 feet FIRST.
Every time you cut the distance in half, look at the problem from a fresh perspective, as though the twenty feet did not exist, only the ten.
The way we measure things will quickly reduce and we eventually come to zero. BUT!!! Here's where it gets abstract? We recognize that the arrow was shot, and that it traveled twenty feet. However, we also realize that in order for it to have traveled that twenty feet, it had to make it half way, and half of that way, and half of that way, etc. THE PROBLEM IS THAT THAT HALF WAY WILL CONTINUE TO REDUCE LOGICALLY BUT IT STILL TRAVELS THE DISTANCE.
THERE WAS A REDUCTION IN DISTANCE IN THE SAME TIME THERE WAS EXTENSION OF DISTANCE!!!!!!! HENCE THE PARADOX.
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NOW LOOK AT ETERNAL RECURRANCE?
How can circular time go its distance when logically (taking into consideration Xeno's paradox) it never even reaches a fraction of a percent of the distance it must travel?????
I posit that perhaps that existence could be circular, or linear, or trapezoidal, or whatever. It doesn't matter because time never progresses LOGICALLY to perform that shape for lack of a better word.
I also posit that there could be a possible rationalization to eternal recurrence. Suppose we encapsulate Xeno's paradox as a constant and call it "not-time." This is very abstract and possibly ridiculous. If we venture outside the box and say that the shape of time, its continuity, beginning and end, are all encapsulated in the circular shape (much like a symbol), the mere occurrence, no matter how small or reduced it is, has the map so to speak of the universe within it.
Daleader, I am glad that you express interest in abstract metaphysics. This is the first step in understanding "root" metaphysics, or the origin of being. If you have anymore questions or need more clarification, I'll be happy to provide it. Seeking knowledge for its own gain and not for any others is admirable.