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Will the Pope's Pronouncement Set Ecumenism Back a Hundred Years? (Challenge to Apostolicity)
Progressive Theology ^ | July 07

Posted on 07/22/2007 7:40:38 PM PDT by xzins

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To: MHGinTN
Thank you so very much for your encouragements!
8,401 posted on 10/05/2007 9:33:15 PM PDT by Alamo-Girl
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To: jo kus; kosta50; Dr. Eckleburg; MHGinTN
me: The terms in mathematics – and therefore, science - have very precise meanings, your objections notwithstanding.

you: They certainly do. That is why your sources are questionable to me, even if they come from "the Math whiz" himself. Two parallel lines are no longer "parallel lines" if they intersect. By definition, they are NOT parallel. To BE a parallel line, it must NOT intersect. If it intersects, it is no longer a parallel set of lines. My objections remain.

I wonder if the reason you insist on rejecting the definition of "Point in Infinity" (intersection of two parallel lines) is that you are viewing mathematics through the lens of the physical? Some concepts that are useful in mathematics do not translate well to physics - infinity is one of those concepts.

Having said that, mathematics is unreasonably effective in the natural sciences.

Indeed, I often point to the unreasonable effectiveness of math as God's copyright notice on the cosmos.

Reimannian Geometry is an excellent example. It was developed in theory long before Einstein came along and pulled it off the shelf to describe General Relativity.

The mathematics, the logic, the language is writ large across that part of God's Creation we can physically observe.

In the beginning was the Word, and the Word was with God, and the Word was God. The same was in the beginning with God. All things were made by him; and without him was not any thing made that was made. - John 1:1-3

And we are to notice such things:

For the invisible things of him from the creation of the world are clearly seen, being understood by the things that are made, [even] his eternal power and Godhead; so that they are without excuse: - Romans 1:20

The heavens declare the glory of God; and the firmament sheweth his handywork. Day unto day uttereth speech, and night unto night sheweth knowledge. [There is] no speech nor language, [where] their voice is not heard. – Psalms 19:1-3

Math is truly a universal language.

But physical reality is not infinite. It is very much finite and thus such concepts as parallel lines if visualized in the physical sense, would not intersect. But in math theory, they do ... at the point in infinity. Think about it.

My point is that God is not subject to time. Thus, the idea that "eternity is time without end" is an incorrect definition.

The second statement does not follow from the first.

Of course God is not subject to time or space. He created them! His Name is I AM.

That is why I aver that “timeless” is a better adjective than “eternal” when speaking of God the Creator of “all that there is” whether spiritual or physical - including time!

But God’s Names are also Alpha and Omega – and Immanuel.

And as Dr. Eckleburg has pointed out, the Holy Spirit indwells us mere mortal denizens of space/time.

But ye are not in the flesh, but in the Spirit, if so be that the Spirit of God dwell in you. Now if any man have not the Spirit of Christ, he is none of his. – Romans 8:9

And we are alive in Him and dead to this world even while yet in the flesh:

For ye are dead, and your life is hid with Christ in God. – Colossians 3:3

I am crucified with Christ: nevertheless I live; yet not I, but Christ liveth in me: and the life which I now live in the flesh I live by the faith of the Son of God, who loved me, and gave himself for me. – Galatians 2:20

When meditating on God the Creator ex nihilo - one realizes that there is nothing of which anything can be made but His will - either His creative will or His permissive will.

One also then realizes His Names Alpha and Omega point to the First Cause and the Final Cause of “all that there is” – namely, Jesus Christ Himself:

Who is the image of the invisible God, the firstborn of every creature: For by him were all things created, that are in heaven, and that are in earth, visible and invisible, whether [they be] thrones, or dominions, or principalities, or powers: all things were created by him, and for him: And he is before all things, and by him all things consist. And he is the head of the body, the church: who is the beginning, the firstborn from the dead; that in all [things] he might have the preeminence. For it pleased [the Father] that in him should all fulness dwell; And, having made peace through the blood of his cross, by him to reconcile all things unto himself; by him, [I say], whether [they be] things in earth, or things in heaven.– Col 1:15-20

On your technical comments:

Infinity has no beginning or end….

As to points on a line and infinity, please explain to me how two points on an infinite line are distinct from each other. How is one closer to another point when there is no minimum or maximum?

Infinity is an unbounded quantity greater than every real number Mathworld

Infinity is not "no quantity" like you are using it. No quantity would be "null" - not zero, but null - void, empty.

The “Line at Infinity” is the straight line on which all “Points at Infinity” lie. Mathworld

And any number sequence, e.g. -3, -2, -1, 0, 1, 2, 3 – can be extended or projected, in either a positive or negative direction to infinity, i.e. an unbounded quantity greater than every real number.

Moreover, from Aristotle, the concept of “time” comes from counting … 1, 2, 3.

Eternity is not “no time” or “timelessness” it is “time without end” – or as the Epistle of Barnabas put it, a time of not counting.

If it were “no time” or “timelessness” then it would be the ex nihilo - void, null, empty – which preceded God’s Creation of “all that there is” – both spiritual and physical.

The Father is not begotten. Jesus Christ is begotten of the Father. The Spirit is from the Father by the Son.

God, who at sundry times and in divers manners spake in time past unto the fathers by the prophets, Hath in these last days spoken unto us by [his] Son, whom he hath appointed heir of all things, by whom also he made the worlds; Who being the brightness of [his] glory, and the express image of his person, and upholding all things by the word of his power, when he had by himself purged our sins, sat down on the right hand of the Majesty on high; Being made so much better than the angels, as he hath by inheritance obtained a more excellent name than they.

For unto which of the angels said he at any time, Thou art my Son, this day have I begotten thee? And again, I will be to him a Father, and he shall be to me a Son?

And again, when he bringeth in the firstbegotten into the world, he saith, And let all the angels of God worship him. And of the angels he saith, Who maketh his angels spirits, and his ministers a flame of fire. But unto the Son [he saith], Thy throne, O God, [is] for ever and ever: a sceptre of righteousness [is] the sceptre of thy kingdom. – Hebrews 1:1-8

It may be that the difference between us is mostly semantic.

To God be the glory!

8,402 posted on 10/05/2007 10:57:54 PM PDT by Alamo-Girl
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To: kosta50; HarleyD; Forest Keeper; Alex Murphy; 1000 silverlings; suzyjaruki; irishtenor; ...
HARLEY: Ah! The old get-out-of-theology "free will" card. So God planted a tree in the garden knowing that Adam would use his free will and eat off that tree

KOSTA: Knowing what he would do is not important, HD.

Not important?!? The rest of all history follows from Adam's eating off that tree; seems pretty important to me. And to God, no doubt.

You've evaded the obvious conclusion from Harley's question. God knew full well what Adam would do with that tree, and yet He planted it anyway. The Fall was certainly no surprise to God. In fact, it probably was part of His plan for creation, since God's decrees all precede any actions by His creatures.

The important thing for God was that man has free will, that we are not His robots, but His children.

Where does it say in Scripture the important thing for God is that we have free will? In fact, since it doesn't even exist in the manner most people toss the phrase around, it matters nearly not at all.

The "important thing for God" is that He is glorified by His children for the gift of grace He has given them through faith in Jesus Christ.

"And for me, that utterance may be given unto me, that I may open my mouth boldly, to make known the mystery of the gospel,

For which I am an ambassador in bonds: that therein I may speak boldly, as I ought to speak." -- Ephesians 10:19-20

Here Paul tells us even the words of His faith which he utters are given to him by God, and thus, he preaches as an "ambassador in bonds."

Not a lot of "free will" going around there.

8,403 posted on 10/05/2007 11:25:32 PM PDT by Dr. Eckleburg ("I don't think they want my respect; I think they want my submission." - Flemming Rose)
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To: Dr. Eckleburg
Thank you so much for your always insightful posts!

That's fascinating and so true. A mad and frantic scramble to attribute existence to anything but the Triune God.

Indeed. Science proceeds under "methodological naturalism" - trying to keep itself agnostic wrt God. And here, it cannot - despite all of its efforts to do so.

More disturbing though are those scientists who promote atheism under the color of science:

The Unraveling of Scientific Materialism (quoting Lewontin)

"We take the side of science in spite of the patent absurdity of some of its constructs, in spite of its failure to fulfill many of its extravagant promises of health and life, in spite of the tolerance of the scientific community for unsubstantiated just-so stories, because we have a prior commitment, a commitment to materialism. It is not that the methods and institutions of science somehow compel us to accept a material explanation of the phenomenal world, but, on the contrary, that we are forced by our a priori adherence to material causes to create an apparatus of investigation and a set of concepts that produce material explanations, no matter how counterintuitive, no matter how mystifying to the uninitiated. Moreover, that materialism is absolute, for we cannot allow a Divine Foot in the door. The eminent Kant scholar Lewis Beck used to say that anyone who could believe in God could believe in anything. To appeal to an omnipotent deity is to allow that at any moment the regularities of nature may be ruptured, that miracles may happen."

You also asked:

You've probably said this before, but I've missed it. How does seven days equal 15 billion years (which sounds like a really helpful reference to have on hand.) 8~)

Here's an article by Jewish Physicist Gerald Schroeder on The Age of the Universe that explains it, relating physics/cosmology to Genesis 1.

Are you saying the enormity of the distance and speed from the point (and event) of creation magnifies the amount of perceived time on earth?

The best way to visualize it, IMHO, is in contemplating starlight. The light you are seeing in the night sky may be from a star long since dead.

Or to put it another way, a star may have sent a photon when it was merely a billion light years away from earth - but it has taken eleven billion light years to reach us. The reason it travels so far - takes so long - is that the universe itself is expanding (space/time.)

The above article explains it using the photon example as well. If God were to send a photon to us from the first Day of Creation, it would take 8 billion light years to reach us, etc.

The magnitude is intelligible by math: Powers of 10

But the very hairs of your head are all numbered. - Matt 10:30

Praise God!!!

8,404 posted on 10/05/2007 11:38:47 PM PDT by Alamo-Girl
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To: jo kus
FK responded: But what we are talking about is salvation and entry into Heaven. It is the difference between necessary AND sufficient, and necessary BUT insufficient.

What difference does that make - whatever that means? The concept of repenting for something you haven't done yet is ridiculous. How can you be sorry for something you haven't done yet? There can be no sorrow where there was no action done yet.

Repentance is necessary to take on life long true faith. It is not something we do piecemeal to satisfy a debt for each of our sins along the way. Jesus already took care of that. By necessary and sufficient, I mean that for you Jesus dying on the cross was needed for you to get to Heaven, but it wasn't powerful enough, not strong enough to do the job. Only you are powerful enough to get yourself into Heaven. We say that Jesus dying on the cross was SO powerful that it sealed the entry into Heaven of ALL of the elect.

Also, salvation and entrance into heaven are two different things, so I've been told by Protestants.

To my mind, it's just a timing issue. One could make a case for up to four different "times" of being saved and all be correct. Predestination, Jesus on the cross, point of belief, entry into Heaven. "Salvation" can apply to any of these.

8,405 posted on 10/05/2007 11:45:02 PM PDT by Forest Keeper (It is a joy to me to know that God had my number, before He created numbers.)
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To: kosta50; Alamo-Girl; HarleyD; Forest Keeper; wmfights; blue-duncan; xzins; P-Marlowe; irishtenor; ..
But God, in His essence, is always outside of time and not limited by space.

Is the Holy Spirit God? Does the Holy Spirit work throughout our lives in real time?

"The testimony of the Spirit is more excellent than all reason.  For as God alone is a fit witness of himself in his Word, so also the Word will not find acceptance in men's hearts before it is sealed by the inward testimony of the Spirit. The same Spirit, therefore, who has spoken through the mouths of the prophets must penetrate into our hearts to persuade us that they faithfully proclaimed what had been divinely commanded." -- John Calvin.

Does the Holy Spirit provide this real-tiime function to members of the EO?

8,406 posted on 10/05/2007 11:46:31 PM PDT by Dr. Eckleburg ("I don't think they want my respect; I think they want my submission." - Flemming Rose)
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To: jo kus; Dr. Eckleburg; Kolokotronis; HarleyD
[Joe to Dr. E.:] ... Paul is writing to the community at Philippi, not to Dr. Eckleburg or any particular Christian. His "God will complete His work within you" refers to the COMMUNITY AS A WHOLE, not the individual Christian. Paul is NOT guaranteeing that EVERY Christian at Philippi will be granted eternal life in heaven. This is obvious when elsewhere, Paul says that SOME INDIVIDUALS will fall away. (emphasis added)

I think this is a very significant difference we have, and I can't recall whether it has been discussed much before. We have a fundamental disagreement on what a "Christian" is. We would say that a Christian is one who has been born again and has true faith in the one true Christ Jesus, etc. I believe the Apostolic view is that a true Christian is anyone who claims to be. So, for you, all those who cried "Lord, Lord" and then were sent away by Christ were all Christians. We would say that by definition they could not have been Christians. The Bible is clear about the existence of false believers, but I don't know how you would describe such a person since you call false believers and true believers both Christians. I don't see why the term "Christian" would have any significance to the Apostolic Church since you use it to refer to so many who will be lost.

Obviously, this does not ease my mind at all for when an Apostolic acknowledges me as a "Christian". :)

8,407 posted on 10/06/2007 12:28:09 AM PDT by Forest Keeper (It is a joy to me to know that God had my number, before He created numbers.)
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To: MarkBsnr
Are you saying that guilt only comes from loving God? I have a mother in law that must be sinless, then.

:) No, I was talking about reasons that I ask God for forgiveness of sins today. When I sin against my fellow man, I "usually" feel guilty too. :)

8,408 posted on 10/06/2007 12:38:25 AM PDT by Forest Keeper (It is a joy to me to know that God had my number, before He created numbers.)
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To: MarkBsnr; kosta50; P-Marlowe; xzins; Kolokotronis; jo kus
FK: “God changes the wills of the elect so they will come to Him.”

Robot slaves. Coerced love. Forced repentance. So God wishes a human hive culture to love Him and worship Him?

I didn't write it, I just live it :)

Ezek 36:26-27 : 26 I will give you a new heart and put a new spirit in you; I will remove from you your heart of stone and give you a heart of flesh. 27 And I will put my Spirit in you and move you to follow my decrees and be careful to keep my laws.

----------------------------------

If I blaspheme the Holy Spirit, I no longer go to hell?

I was just saying that it is no longer physically possible for you to blaspheme the Spirit because Jesus is no longer physically here. And my answer was just one of many decent explanations of blaspheming the Spirit I found. I just don't see this as any evidence that true salvation can be lost. How was the prior salvation established?

8,409 posted on 10/06/2007 1:01:14 AM PDT by Forest Keeper (It is a joy to me to know that God had my number, before He created numbers.)
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To: HarleyD; Dr. Eckleburg; 1000 silverlings; wmfights; P-Marlowe
John 15 becomes an exercise in trying to decide who Christ is speaking to so I have highlighted parts of it to make it a little more understandable. CHRISTIANS IN GENERAL ...... WARNING-FOR THE DISCIPLES ONLY ...

Excellent analysis Harley. How in the universe is any Christian supposed to know which Bible verses apply to him under Apostolic rules? There are somewhere around 31,100 verses in the Bible, and I know no Catechism covers them all. If it's two here and three there, then no one could possibly know what's going on. I suppose it all reverts back to the Church. How convenient! :) Artificially make the Bible impossible to understand by anyone, and that solidifies the power of those who claim it. These guys certainly have had quite a ...... umm ...... "plan" going on here for a long time. :)

8,410 posted on 10/06/2007 1:58:10 AM PDT by Forest Keeper (It is a joy to me to know that God had my number, before He created numbers.)
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To: MarkBsnr; Dr. Eckleburg; 1000 silverlings; HarleyD
The Sacrament of Confession is remarkably powerful and humbling. Jesus knew what He was doing. You oughta try it sometime. It is not limited to Catholics, you know. :)

Thanks, it's just that when I confess it is directly to God in prayer. I also find that powerful and humbling. I'm not sure how confessing to a good man could be an improvement on confessing directly to God.

8,411 posted on 10/06/2007 2:09:51 AM PDT by Forest Keeper (It is a joy to me to know that God had my number, before He created numbers.)
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To: xzins
Every now and then, one gets selected to remain a bull

Are you saying that God created man (in His image and likeness no less!) to choose some for his "pastures" and the rest for slaughter?

We slaughter bulls for food, for hyde, for soap, for whatever use we get out of them. The "pretty" one who gets all the cows and pastures and a long life is something we have no control over. He was lucky to be born the prettiest of them all.

The others weren't so lucky, so they are used for other purpose

But God doesn't depend on chance. His rejection of some, as you seem to imply, is because He created them with the intention to be rejected. In this case, the rejection is not a consequence but a premeditated intent.

In your paradigm, those rejected serve no other purpose. They were created solely in order to suffer.

8,412 posted on 10/06/2007 5:41:29 AM PDT by kosta50 (Eastern Orthodoxy is pure Christianity)
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To: Dr. Eckleburg; HarleyD; Forest Keeper; D-fendr; MarkBsnr; jo kus; Kolokotronis; Alex Murphy; ...
Not important?!? The rest of all history follows from Adam's eating off that tree; seems pretty important to me. And to God, no doubt

To God, our temporal existence on earth is not important. It is important to us, as it is from here that we either go to heaven or hell.  

You've evaded the obvious conclusion from Harley's question. God knew full well what Adam would do with that tree, and yet He planted it anyway. The Fall was certainly no surprise to God

You are placing artificial limits on God and not even realize it. You are assuming that God is capable of creating only one outcome, and that everything is limited to that outcome. The other way of looking at it is that God, in His infinite nature, has an infinite repertoire of choices and paradigms, and is capable of designing an infinite number of outcomes, all of which fulfill His plan.

God planted the tree to set limits and provide choices so that man could exercise his reason and be a moral being, not to bring Adam's demise. God's intentions were good.  This is no different than the parable of talents.

In your theology, God knew that one servent would do nothing with his talent, and gave him a talent in order to ruin him! In other words, God designed it so that the servant would have no choice but to fail! God ruins no one.

God gives everyone choices. In order for them to be true choices, they must be made freely. The choices we make determine which path we will follow, and where we will end up. They do not affect God; they affect only us.

In your paradigm of a singular outcome, either we really do not choose but God chooses for us, or our choices affect or interfere with God's plan. I think that neither is correct. We choose, but our choices affect only us and our destiny , not God's plan: those who choose God will be saved and those who do not will be lost. Our choices do not change or affect God's plan one single bit.  

The "important thing for God" is that He is glorified by His children for the gift of grace He has given them through faith in Jesus Christ

That makes Him a vain God, subject to passions, and His grace, which is given freely, is not free at all, but conditional.

Here Paul tells us even the words of His faith which he utters are given to him by God, and thus, he preaches as an "ambassador in bonds."

If everything we have is given to us then we must include also that which is evil as well, which is incompatible with the teaching of our Lord Jesus Christ. God gave us the capacity to know Him, and the ability to speak. Those anatomical features are indeed given to us by God. But we are also created capable of reason, and of being moral creatures. Wisdom generates words. Words project the spirit which is born in the wisdom. If our wisdom is that of God then we are but mindless shells. If, on the other hand, our wisdom is imitating God, then we are ambassadors of God in our words and deeds, fashioned after the words and deeds of God, and thus through those who are pure enough, the love of God shines for others to see.

St. Paul may have been one of God's chosen to teach others, through whom God shone on the Gentiles, and he was pure enough to make such a claim. But that doesn't mean our words are words of God or that we are all ambassadors in bonds.


8,413 posted on 10/06/2007 6:32:55 AM PDT by kosta50 (Eastern Orthodoxy is pure Christianity)
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To: suzyjaruki; stfassisi; HarleyD; Dr. Eckleburg
Whew, I'm sure glad St.Calvin believed in free will or you might have called him un-christian. I pray this wonderful prayer of St. Calvin and St John Knox edifies you all... The Prayer of Confession and the Absolution are from 1539; they were used by both John Calvin at Geneva and John Knox in Scotland.] Come now and let us make confession to God the Lord together; let everyone, with me, acknowledge our sin and shortcomings: Almighty God, eternal Father, we acknowledge and confess to you that we were born in unrighteousness. Our life is full of sin and transgression; we have not gladly believed your Word nor followed your holy commandments. For your goodness’ sake and for your name’s sake, be gracious unto us, we pray, and forgive us all our sin, which is very great. Amen. Let each of us come before the face of the Lord, confessing our own faults. Silent Prayer of Confession
8,414 posted on 10/06/2007 6:42:05 AM PDT by Athena1
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To: Alamo-Girl; jo kus; Dr. Eckleburg; MHGinTN
Please define "parallel" and explain how parallel lines intercent at some "point" in infinity.

Having said that, mathematics is unreasonably effective in the natural sciences

There is nothing unreasonable about mathematics. They are effective in natural sciences to the extent that they mathematics allows for working models. Working models prove nothing, They just work. Thye do not necessarily represent truth or "reality."

Infinity is an unbounded quantity greater than every real number Mathworld

In your previous post you defined infinity as bound by time and space.

And any number sequence, e.g. -3, -2, -1, 0, 1, 2, 3 – can be extended or projected, in either a positive or negative direction to infinity, i.e. an unbounded quantity greater than every real number

So what? Besides, positive and negative directions is irrelevant in infinity.

I am not sure what is the point you are trying to make. Can you reduce it to a single sentence or at least a paragraph?

8,415 posted on 10/06/2007 6:46:01 AM PDT by kosta50 (Eastern Orthodoxy is pure Christianity)
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To: Dr. Eckleburg
Is the Holy Spirit God? Does the Holy Spirit work throughout our lives in real time?

Yes, of course. He intercedes in our lives. He does not exist in time and space.

8,416 posted on 10/06/2007 6:51:52 AM PDT by kosta50 (Eastern Orthodoxy is pure Christianity)
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To: Athena1; Dr. Eckleburg
Thank you for the prayer. Great way to start the day, confessing sin and seeking forgiveness.

I appreciate reading from St.Calvin & St.Knox and it is a blessing that there is so much preserved for us to read.

8,417 posted on 10/06/2007 7:09:37 AM PDT by suzyjaruki (Why?)
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To: Dr. Eckleburg

Why don’t YOU read Hebrews 10 which talks of burnt offerings of bulls and goats sacrificed by men; not a sacrifice performed by Christ himself.


8,418 posted on 10/06/2007 7:20:32 AM PDT by kawaii (Orthodox Christianity -- Proclaiming the Truth Since 33 A.D.)
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To: Dr. Eckleburg; kosta50

I don’t understand why someone a thousand plus years after Christ could be understood as an expert on the Holy Spirit, why is it folks pursue the traditions and doctrines of men?!?


8,419 posted on 10/06/2007 7:49:58 AM PDT by kawaii (Orthodox Christianity -- Proclaiming the Truth Since 33 A.D.)
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To: kosta50; jo kus; Dr. Eckleburg; MHGinTN; betty boop
There is nothing unreasonable about mathematics. They are effective in natural sciences to the extent that they mathematics allows for working models. Working models prove nothing, They just work. Thye do not necessarily represent truth or "reality."

Indeed, only God speaks Truth. Only He does not suffer from the “observer problem.” The rest of us are denizens of space/time and therefore part of the observation itself.

Nevertheless, mathematics is unreasonably effective in the natural sciences.

That term was coined by Physicist Eugene Wigner is his famous article The Unreasonable Effectiveness of Math in the Natural Sciences.

The preceding two stories illustrate the two main points which are the subjects of the present discourse. The first point is that mathematical concepts turn up in entirely unexpected connections. Moreover, they often permit an unexpectedly close and accurate description of the phenomena in these connections. Secondly, just because of this circumstance, and because we do not understand the reasons of their usefulness, we cannot know whether a theory formulated in terms of mathematical concepts is uniquely appropriate. We are in a position similar to that of a man who was provided with a bunch of keys and who, having to open several doors in succession, always hit on the right key on the first or second trial. He became skeptical concerning the uniqueness of the coordination between keys and doors.

Most of what will be said on these questions will not be new; it has probably occurred to most scientists in one form or another. My principal aim is to illuminate it from several sides. The first point is that the enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and that there is no rational explanation for it. Second, it is just this uncanny usefulness of mathematical concepts that raises the question of the uniqueness of our physical theories….

Harvard Physicist Cumrun Vafa also commented on it here: Geometric Physics - bringing in examples of dualities and mirror images.

As I recall, you and I have been down this road before – your mathematical worldview (and perhaps your theological belief) is Aristotlean whereas mine is Platonic. Every atheist and agnostic has an Aristotlean worldview - but not every Aristotlean is atheist or agnostic. Platonists, on the other hand have a worldview which is "beyond" space/time - so if they are not Judeo/Christian they are at least theistic in some sense or have some concept of a collective consciousness (e.g. Eastern mysticism.)

Aristotle and Plato did not resolve the debate, neither did Einstein and Gödel, neither did Hawking and Penrose. Max Tegmark (a Platonist) described it this way (formatting mine):

A mathematical structure is an abstract, immutable entity existing outside of space and time. If history were a movie, the structure would correspond not to a single frame of it but to the entire videotape. Consider, for example, a world made up of pointlike particles moving around in three-dimensional space. In four-dimensional spacetime — the bird perspective — these particle trajectories resemble a tangle of spaghetti.

If the frog sees a particle moving with constant velocity, the bird sees a straight strand of uncooked spaghetti. If the frog sees a pair of orbiting particles, the bird sees two spaghetti strands intertwined like a double helix.

To the frog, the world is described by Newton’s laws of motion and gravitation. To the bird, it is described by the geometry of the pasta — a mathematical structure.

The frog itself is merely a thick bundle of pasta, whose highly complex intertwining corresponds to a cluster of particles that store and process information. Our universe is far more complicated than this example, and scientists do not yet know to what, if any, mathematical structure it corresponds.

The Platonic paradigm raises the question of why the universe is the way it is. To an Aristotelian, this is a meaningless question: The universe just is. But a Platonist cannot help but wonder why it could not have been different. If the universe is inherently mathematical, then why was only one of the many mathematical structures singled out to describe a universe? A fundamental asymmetry appears to be built into the very heart of reality.

Taking a few excerpts from our book, Timothy [TFB is the first bird, TSB is the second bird, F is the frog and T is Saint Timothy:]

TFB: Whoever thinks heaven is boring should hear you, Timothy!

Now the frog is a nominalist. He would say that universals do not exist, such things as redness, sound, threeness, and so on. He would call them language only. To him, mathematical constructs such as pi are invented by the mathematician to describe the world the frog sees. Physical laws don’t exist in themselves, they are “observations.” The soul, mind, or consciousness is merely an epiphenomenon of the physical brain. To the frog, when a tree falls in the forest it makes no sound if no one is around to hear it.

F: Hullo! Did I hear you mention my name? How goes it on your lily pads, lady frogs?

TSB: Hello Brother Frog! So nice of you to join us! How was your trip?

F: What trip? I’m sitting here on my lily pad in my happy pond, sunning myself. Then I heard you two talking about me…. What’s up?

TFB: You are most welcome to join us. We were chatting about the differences in worldview of frogs and birds….

F: I don’t believe in birds.

TSB: (Aside to Timothy) And he doesn’t believe in you either, Timothy….

T: Be that as it may. I continue to believe in him.

Brother Frog is most welcome here. He brings a certain point of view regarding the issues you want to discuss, which promises to be important to their illumination.

And so I shall be very glad to attend to your exchange of ideas.

TFB: Well, Froggie, you know that my sister and I do believe in birds — we are birds! As I was saying (though you may disagree), the bird is a realist. He would say that universals such as redness, sound, and threeness do exist, that geometry exists and the mathematician doesn’t invent it, but comes along and discovers it. To the bird, a variable in a mathematical formula is a universal per se. The physical laws exist. The soul, mind, or consciousness exists and may be “in” space/time or “beyond” space/time — or both. And when a tree falls in the forest it makes a sound even if no one is around to hear it.

You continued:

In your previous post you defined infinity as bound by time and space.

Er, I said just the opposite. When one looks at infinity from the lens of the physical (the frog view) – he cannot conceive of the “Point in Infinity” which is defined as the intersection of two parallel lines.

Infinity is the unbounded quantity which is greater than every real number.

Please define "parallel" and explain how parallel lines intercent at some "point" in infinity.

Parallel lines do not intersect in the set of real numbers. It is the point at which the parallel lines extend to infinity which is the unbounded quantity greater than every real number, that they intersect. Think about it.

So what? Besides, positive and negative directions is irrelevant in infinity.

I am not sure what is the point you are trying to make. Can you reduce it to a single sentence or at least a paragraph?

“Timeless” is a better adjective than “eternal” when speaking of God the Creator of “all that there is” whether spiritual or physical - including time.

And Moses said unto God, Behold, [when] I come unto the children of Israel, and shall say unto them, The God of your fathers hath sent me unto you; and they shall say to me, What [is] his name? what shall I say unto them?

And God said unto Moses, I AM THAT I AM: and he said, Thus shalt thou say unto the children of Israel, I AM hath sent me unto you. – Exodus 3:13-14

To God be the glory!


8,420 posted on 10/06/2007 8:04:21 AM PDT by Alamo-Girl
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