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.
Once again, time is geometric. There was a beginning of real space and real time.
I never said time was NOT geometric. And since I told you about infinite regression, I certainly ALSO believe time has a beginning. My point is that God is not subject to time. Thus, the idea that "eternity is time without end" is an incorrect definition.
Before time existed, God IS. That is part of revelation. Thus, applying time to God is incorrect. God existed "before" there was time. Infinity has no beginning or end. Time does - otherwise, we would have infinite regression and would never arrive at today.
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? No beginning or end? How is ANYTHING measured in such a circumstance? Where minimum and maximum are equal and indistinct, there is unity. There is no "number". There is no "greater" or "lesser". There is no distinction. In infinity, God, there is no distinction - with the exception of origin. The uncaused cause was not generated, and the generated did not proceed. Thus, we have unity in infinity.
If you believe there is distinction in infinity, then perhaps you believe that there is more than a unity in the Godhead - a polytheistic proposition.
Regards
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.
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.
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
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.
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 Gods 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.
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
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:
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 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 Gods 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.
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
To God be the glory!