ZK, got it, -Bob
ZK, got it, -Bob
thx
ZK, got it, -Bob
thx
andYou would have had lots of fun arguing with Zeno. Consider this paradox:
...
Great response, and very provocative. I had calculus, but didn’t do very well in it, but I love math and logic, so maybe I’ll get somewhere in trying to answer this. I have two responses to the so-called paradox. First, the “paradox” tries to assert a contradiction in terms. An event in time requires time to happen, “no event can happen” if there is no time for them to occur. He just asserts that an event is happening during a none-time point of reference, and that is simply false, nothing happens if you give it no time to happen. It is true that there is an infinite progression of reference points along any finite distance, but every finite distance has a “total” elapsed time or a total elapsed amount of space. If it was truly an infinite amount of time or space traveled, then it would be logically and necessarily impossible to measure the “total” amount traversed. So these two ideas are mutally exclusive to each other, infinities are finites are exclusive concepts, something can not have both an ending, and not ending.... Anyone who has had calculus knows how to resolve this paradox.
The next paragraph on the next page goes on to explain the difference between an abstract and a concrete infinite series.But beyond the scientific evidence that shows the universe began, there is a philosophical reason to believe that the world had a starting point. This argument shows that time cannot go back into the past forever. You see it is impossible to pass through an infinite series of moments. You might be able to imagine passing through an infinite number of dimensionless points on a line by moving your finger from one end of to the other, but time is not dimensionless or imaginary. It is real and each moment that passes uses up real time that we can’t go back to. It is more like moving your finger across and endless number of books in a library. You would never get to the last book, there could always be one more added, then another and another. . . . . You can never finish an infinite series of real things. If the past is infinite (which is another way of saying, “If the universe had always existed without a beginning”), then we could never have passed through time to get to today. If the past is an infinite series of moments, and right now is where that series stops, then we would have passed an infinite series and that is impossible. If the world never had a beginning then we could not reach today. But we have reached today: so time must have begun at a particular point in the past, and today has come at a definite time since then. Therefore, the world is a finite event after all and it needs a cause for it’s beginning.
First, the arguments are filled with claims, it’s almost difficult to tell the difference between the claims and the support argumentation because they arguments circle back around to making claims. But an argument does exist. They reason that an actual concrete infinite cannot be traversed from one end to the other, (!!!) that is the form of their argument even though they string out their words in such a way as to avoid such a gross illogical presentation. Of course one cannot cover the extents of an infinite, that is what it means to be an infinite, it has no ends! All that this argument is really supporting is that finites are not infinites and that infinites are not finites. Duh, no kidding, you can only use ends and totals and limits with finites, NOT with infinites, but they suggest that we use finite terminology and finite concepts to see if an actual infinite can exist! They suggest that since you can not cross or count or go from on end of an infinite to another, i.e. one book end, to another book end, then such an infinite can not really exist, and I sort of agree, no infinite can be spoken of as having ends at all, it is an immediate contradiction to place an infinite into a finite equation as though a total or end may be found. So the form of their argument is invalid before they even get started.Two Kinds of Infinite Series
There are two kinds of infinite series, one is abstract and the other is concrete. An abstract infinite series is a mathematical infinite. For example, as any mathematician knows, there are an infinite number of points on a line between point A and point B, no matter how (short or long) the line may be. Let’s say the points are two bookends about three feet apart. Now, as we all know, while there are an infinite number of abstract mathematical points between the two bookends, nevertheless, we cannot get an infinite number of actual books between them, no matter how thin the pages are! Nor does it matter how many feet of distance we place between the bookends; we still cannot get an infinite number of books there. So while abstract, mathematical infinite series are possible, actual, concrete infinite series are not.
You're welcome.Originally posted by Bob Enyart
ZK, got it, -Bob ... thx
I find the bolded statements fairly accurate, the blue statements are a cross between confusing and wrong. Who cares about direction of traverse, either you can or can not traverse an actual infinite. But that is missing the point I am trying to make. Being infinite or finite is a property of existence. You do not take an infinite endless limitless thing and then test it by seeing if you can reach it’s ends! That is ludicrous."The clearest form of an infinity which can be conceived without contradiction is the unlimited accumulation of numbers in a numerical series {18} ... As we can add yet another unit to any number, without ever exhausting the possibility of further numbers, so also to every state of being a further state succeeds, and infinity consists in the unlimited begetting of these states. This exactly conceived infinity has consequently only one single basic form with one single direction. For although it is immaterial to our thought whether or not it conceives an opposite direction in the accumulation of states, this retrogressing infinity is nevertheless only a rashly constructed thought-image. indeed, since this infinity would have to be traversed in reality in the reverse direction, it would in each of its states have an infinite succession of numbers behind itself. But this would involve the impermissible contradiction of a counted infinite numerical series, and so it is contrary to reason to postulate any second direction in infinity" {19}.
While I obviously agree with this conclusion, I totally disagree with his support reasoning, which involves direct contradiction. I would say that since the world is not a perpetual motion machine, nothing is a perpetual motion machine, there fore the world was created. The next consideration is that either it created itself, or it was created by something other than itself.The first conclusion drawn from this conception of infinity is that the chain of causes and effects in the world must at some time have had a beginning:
Right, you should not expect to test an infinity, a thing that has no limits with concepts that requires the use of limits, like totals and counting and ends, etc.The idea of an infinite series which has been counted, in other words, the world-encompassing Dühringian law of definite number, is therefore a contradictio in adjecto ["contradiction in definition" -- ed.] contains within itself a contradiction, and in fact an absurd contradiction.
This is a bunch of subjective impressions and accusations. To suggest that infinity does not exist is much like suggesting that reality does not exist.For that matter, Herr Dühring will never succeed in conceiving real infinity without contradiction. Infinity is a contradiction, and is full of contradictions. From the outset it is a contradiction that an infinity is composed of nothing but finites, and yet this is the case. The limitedness of the material world leads no less to contradictions than its unlimitedness, and every attempt to get over these contradictions leads, as we have seen, to new and worse contradictions. It is just because infinity is a contradiction that it is an infinite process, unrolling endlessly in time and in space. The removal of the contradiction would be the end of infinity. Hegel saw this quite correctly, and for that reason treated with well-merited contempt the gentlemen who subtilised over this contradiction.
Originally posted by 1Way
Attention – I will not spend much time on this issue because the contradiction in terms and concepts is so prevalent. I find the bolded statements fairly accurate, the blue statements are a cross between confusing and wrong. Who cares about direction of traverse, either you can or can not traverse an actual infinite. But that is missing the point I am trying to make. Being infinite or finite is a property of existence. You do not take an infinite endless limitless thing and then test it by seeing if you can reach it’s ends! That is ludicrous.
He goes on to say: While I obviously agree with this conclusion, I totally disagree with his support reasoning, which involves direct contradiction. I would say that since the world is not a perpetual motion machine, nothing is a perpetual motion machine, there fore the world was created. The next consideration is that either it created itself, or it was created by something other than itself.
Ok, I found something I agree with. Right, you should not expect to test an infinity, a thing that has no limits with concepts that requires the use of limits, like totals and counting and ends, etc.
But then the next paragraph seems totally false. Blue = I disagree. This is a bunch of subjective impressions and accusations. To suggest that infinity does not exist is much like suggesting that reality does not exist.
Errrrrrrrrrrrrr. Stop, I’m sorry, I must leave, the next door neighbor lady’s friend is having a baby, perhaps today, so I am going with, gotto go. And take this as a rough draft.
I have no argument against the infinity of time, so I have no idea what you are talking about. I offered the only three options for the origins of the world. I learned of them by others, and I’m quite certain that many thousands if not more certainly millions of people have learned of them also. And evidently, the claim that there is only 3 options for the origins of the world still hold true till this very moment. So, hopefully for the last time, if you disagree, then please provide another option, and if not, then concede the point, there are only three options.Further, you say that your argument against the Infinity of time would be that it would neccesitate of the universe as a perpetuum mobile.
This is however a conclusion you draw from the Second law of Thermodynamics, which state that the amount of usueable energy for a closed thermodynamic system must decrease, and can not remain the same.
Yes I did, but I did not understand the nature of the contradiction he is referring to. I do not see the contradiction, I simply see the formal error of wanting to test an infinite by using finite tools. It is the logic behind this foolish test that is contradictory, but I say that this contradiction can be done away with, not by eliminating the existence of infinities, but by dismissing the errant reasoning and replacing it with proper reasoning. Hence the contradiction would be gone, but the infinity would remain. So while I seem to agree with most of what he is saying, I apparently do not see things eye to eye with him.I hope you read that part too. In short, the argument of Engels against the begin of time is that there is no possible way in which a change or motion can come from total motionlessness.
That is: unless one allows for a kick from 'outside' of the universe.
Which as we know is just another name for God.
Originally posted by Flake
Let us proclaim the mystery of where the hell is Zakath!
Hope he is OK, does nobody know anything of his situation? Seems odd to have such a battle of heavyweights and yet know nothing of one of the participants.
:think:Proverbs 27:5 Open rebuke [is] better Than love carefully concealed.
Proverbs 21:3 To do righteousness and justice [Is] more acceptable to the LORD than sacrifice.
Romans 12:9 [Let] love [be] without hypocrisy. Abhor what is evil. Cling to what is good.
Luke 17:3 "Take heed to yourselves. If your brother sins against you, rebuke him; and if he repents, forgive him.