Where did you get all of these ideas? Honestly, you are very creative but none of what you have said is true.
Geometer:
You are making the unfortunate, and, sad to say, not atypical assertions of a person who has long since forgotten the difference between reality and abstraction. In reality, none of what you said it true. Think about it.
I don’t know where to begin. It has been said that the universe is finite but unbounded, because it is expanding.
I did not say this. The universe is bounded. Yes it is expanding, towards a
potential infinity, but, said potential infinity has not yet arrived, does not have existence - nor will it ever have existence as an actual infinity.
A given sphere is finite in three dimensions, but its surface has no linear boundary. It is an unbounded surface.
Really? No
linear boundary. Hmmm. So, in
reality, as opposed to conceptually, you should be able to slice and dice a basketball into an infinity of yet smaller sections. Right? Or, a tennis ball? Or, a moth ball? Or, a point? Surely someone has done this by now. Can you point me to who, when and where?
Can you find for me that very tiny slicer that can cut right through the smallest conceivable slice of the aforementioned sphere? Can you demonstrate the technique for the use of that slicer? Where can I get one?
The sphere’s outer surface has boundary AND, since it is a basketball, its inner surface has boundary. There is no infinite extension of either of these two surfaces. In fact, the definition of PLACE, with regard to the air inside the basketball, is that the basketball’s inner surface is the air’s innermost surface of a surrounding body. I am looking at the sphere in REAL LIFE. You are looking at it as a mathematical concept, an abstraction. An abstraction has no live existence. It only has existence when it is placed back into sensible matter. Then that’s when the problems begin, for your theory.
If the universe is expanding into the void, does the void have a boundary or is it infinite?
The concept of the “void” is merely that: a concept. I use the word because some scientists like to use it. Is it really real? Neither I nor they have any earthly idea. If “void” is simply a poorly chosen word for God, then, no, He has no boundary. And, yes, He is infinite.
Infinity and boundedness are seperate concepts.
Well, let’s just see:
From
dictionary.com:
Infinite –adjective
- immeasurably great: an infinite capacity for forgiveness.
- indefinitely or exceedingly great: infinite sums of money.
- unlimited or unmeasurable in extent of space, duration of time, etc.: the infinite nature of outer space.
- unbounded or unlimited; boundless; endless: God’s infinite mercy.
- Mathematics.
a. not finite.
b. (of a set) having elements that can be put into one-to-one correspondence with a subset that is not the given set.
–noun
6. something that is infinite.
7. Mathematics. an infinite quantity or magnitude.
8.
the boundless regions of space.
9. the Infinite or the Infinite Being, God.
From New Advent Encyclopedia:
“The infinite, as the word indicates, is that which has no end, no limit,
no boundary, and therefore cannot be measured by a finite standard, however often applied; it is that which cannot be attained by successive addition, not exhausted by successive subtraction of finite quantities. Though in itself a negative term, infinity has a very positive meaning.
Since it denies all bounds – which are themselves negations – it is a double negation, hence an affirmation, and expresses positively the highest unsurpassable reality.
Like the concepts of quantity, limit, boundary, the term infinity applies primarily to space and time, but not exclusively, as Schopenhauer maintains. In a derived meaning it may be applied to every kind of perfection: wisdom, beauty, power, the fullness of being itself.”
I can give you a lot more . . .
Physical space must contain matter in order to have a shape, so it is thought by some that infinite space would have to contain an infinite amount of matter. There is a conjecture that space is not infinite, because there would be an infinite number of stars making the sky infinitely bright. However, it might be that shining stars are rare.
Absolutely false. INFINITE SPACE cannot contain anything except SPACE. If it does contain something other than SPACE, that PLACE, occupied by the foreign substance, is no longer SPACE. SPACE does not permeate the matter. The matter, in a sense, pushes SPACE aside and inserts itself into that PLACE. It reduces the full actualization of the SPACE.
An infinitely large basketball could contain an infinite space, with plenty of room for everything.
That a basketball that large has plenty of room, there is no doubt. That something bounded by an exterior skin can be infinite and contain another infinity is, again, an incorrect manner of understanding the concept.
jd