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What is the Sum of the Natural Numbers? 1+2+3+4+... = ?
in Science
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Enough said.
I don't care how much more you add up, this will always add up to 15 until you add another number to it.
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The (...) indicates a continuation of the series through positive infinity
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The true answer is it's divergent (i.e., it has no bound), but you can do some mathematical trickery to make it equal -1/12.
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Just because something is beautiful doesn't make it have relevance.
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I never said it was relevant.
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Nothing much!
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Infinite series are always a mind tease. One of my favorites is the infinite sided polygon commonly known as a circle. That is, a square is a four sided polygon where the angle of two adjacent sides is 90 degrees. A polygon known as an octagon (8 sides, angle 135 degrees) the number of sides increases where the angle between two adjacent sides is greater than 90 degrees and less than 180 degrees.
When the number of sides goes to infinity the angle between two adjacent sides goes to 180 degrees. So the question becomes, is a circle part of a straight line, or a straight line part of a circle? Perhaps, fuel for the “flat Earth” argument.
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See, that's the thing, that we even have a Flat Earth argument. People don't realize that this is exactly how such Religious ideologies survive for so long, we actually consider it and argue about it.
Like his O.P. (Original Post) what does any number, or thing have to do with Infinite?
What is the Sum of the Natural Numbers? 1+2+3+4+... = ?
The answer: there is no "sum"!
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However, infinities depending on context, do not necessarily equate. One infinity can be considered smaller or larger than another.
https://www.scientificamerican.com/article/strange-but-true-infinity-comes-in-different-sizes/
Natural numbers are unbounded, so the sum of all Natural Numbers cannot be anything but infinite.
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2 is 1+1
3 is 1+1+1
4 is 1+1+1+1
etc.
So there is only ever 1 of anything.
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With regards to your question, consider this mental experiment. You have a deck of cards and two sides of the table: left and right (and the deck is at the center). You start with picking one card from the deck and placing it on the left side of the table. Then you pick it up and move it over to the right side of the table. 1. Now you pick another card from the deck and place it on top of the first card. Afterwards, you pick each of these two cards one by one and move them over to the left side of the table. 1+2. You keep doing it over and over, counting the number of times you had to move a card from one side of the table to another.
You will get a row: 1+2+3+4+5+6+7+...+52... Oops! You just ran out of cards in your deck. So you pick another deck and continue your operation. Eventually you will exhaust all decks you own, and you will have to buy new ones. Assuming card games never become obsolete/outdated and new decks are constantly produced by businesses, you will never run out of decks to add to your collection - although eventually you will have so many cards, you will likely have to buy a property hundreds square miles in size to be able to continue your experiments. That is assuming the genetics evolve enough to support your living for millions years necessary to accomplish that feat.
So, the question you are asking is essentially this: "If I keep doing it forever, how many times will I have to move a card over from one side of the table to another?" What is the answer? It does not exist, because the question itself is ill-posed. "Doing something forever" involves a construct of "forever" which humans can only understand in abstract terms; none of us has to deal with infinite time in our lives.
But you can ask a further question "What if it WAS possible to keep doing it forever? For the infinite amount of time? How many times would I have to move a card over from one side of the table to another?" And the answer then is also: "the infinite number of times".
To summarize, the poor result of the mapping results from the poor subject of the mapping. Neither is considered poor in abstract mathematics, but whenever you try to apply abstract mathematics to the not-so-abstract world, inconsistencies are bound to occur. It does not speak in favor of mathematics being flawed, but, rather, in favor of our applications being flawed. The instrument is perfect; the way that instrument is used, however, is not.
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No "sum" of anything can ever be Infinite.
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"Yes, there are different sizes of infinity"
"But there is just One Infinite"
Come back to me when you've decided which one your claiming.
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@EmeryPearson I am claiming that no matter how hard Globetard's want to get "something out of nothing", or turn countless finite things into Infinite, it cannot be done. Since Infinite is borderless, you can't start off with finite things to describe it. Soon as you mention a finite 'thing' to describe Infinite, it fails.
So again: "Yes, there are different sizes of infinity"
"But there is just One Infinite" the Only Possible One, and all "things" consists in Infinite/God. Also God is not a being, for all beings were created, they are finite. Instead, God is the Ground of Being, in whom all things consist.
So saying that "there are different sizes of Infinite" does not compute, is senseless, illogical, erroneous, false just as I keep explaining.
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"@EmeryPearson I am claiming that no matter how hard Globetard's want to get "something out of nothing", or turn countless finite things into Infinite, it cannot be done. Since Infinite is borderless, you can't start off with finite things to describe it. Soon as you mention a finite 'thing' to describe Infinite, it fails."
"Yes, there are different sizes of infinity" - Claim of multiple infinities
"But there is just One Infinite" - Claim of single infinity
You are still in contradiction good sir.
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Infinite
1. Borderless
2. another term for nonfinite
But finite is made up of "things", .. in other words, there is no finite in Infinite.
Here is an erroneous definition of Infinite
Infinite: limitless or endless in space, extent, or size; impossible to measure or calculate.
Infinite is borderless, if there is no border, then there is no space between to measure. So how could it possess "endless space"? This is what happens when they try to define something with an indoctrinated mind.
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"Infinite is borderless, if there is no border, then there is no space between to measure. So how could it possess "endless space"? This is what happens when they try to define something with an indoctrinated mind."
"Yes, there are different sizes of infinity"
You are still in contradiction.
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Oh come on, don't tell me you cannot see the difference between two different words, one is Infinite, the only possible One since Infinite is borderless, .. you cannot have two Infinites. And then we have the word "infinity", which doesn't exist without some-"thing" going off in space into infinity. Here we need borders which make up what we call space. Space doesn't exist on its own, it is what we call the expanse between at least two objects. The same with feet, gallons and time, on their own they don't exist.
You keep confusing Infinite and infinity. Infinite exists, and He is conscious as in "I Am", but infinity is not a noun, but should be a conjunction, it doesn't exist, we just use it to express many things, going for many feet, miles in space, which is the expanse of, and between things.
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You're still in contradiction.
If there is one infinity, it cannot have multiple values. And as you stated:
"Yes, there are different sizes of infinity"
If there is infact one singular infinite, then this cannot be true. It's value is singular, not plural. As there is only one.
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"there is no finite in Infinite." Really? Let's see....... in"finite" <----- There it is, right there after the first I and N.
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When and where did I ever say "there is one infinity"? Why don't you guys just admit it, the subject on Infinite, infinity, nothing is way beyond you. So far not one of you has ever come even close to understanding the subject of any one of these words.
Why?
Well I keep showing you guys why, it's because over these Last Days, and years the "definitions have been changed" to protect the BB-Evolution stories, all in an effort to eliminate our Creator God and His son Word aka Jesus Christ from the minds of man. So even when I explain it like I would to a child, there is nothing in your memory that could associate with what I said.
Like when I say "Infinite God", .. your brain is only allowed to see: "infinity of gods", .. see, like that!
No, .. unfortunately you don't see, the finite gods of this world has blinded you my friends. Since debating is useless, I can only offer you my prayers, .. which I do every time we debate a subject. Not just for you, but I pray for me too, .. I would hate to have the many years of Religious indoctrination that we all have been under for so many centuries blind me to the truth.
Just to clear this part of what you said about my statement: "Yes, there are different sizes of infinity" up EmeryPearson , you responded: If there is infact one singular infinite, then this cannot be true. It's value is singular, not plural. As there is only one.
You do realize I said "infinity", and that you responded with your explanation of "Infinite", .. right?
Yes, we can use the word Infinite many times, but there is only One Infinite.
We can also use the word infinity many times, and there are many different sizes of infinity, as I have shown you before,: a small infinity could start with one grain of sand, and a bigger infinity could start with an elephant, .. which result in different sizes of infinity.
finite
adjective
1. having limits or bounds
Now here is the BB-universe globe earth indoctrinated definition of Infinite;
Infinite
noun
a space or quantity that is infinite
That there defines infinity, NOT Infinite, because Infinite is boundless and borderless means without "things", .. and you need things to be able to have 'quantity' and to use the word "space" in.
Here is my proper definition of Infinite God:
Infinite (by Evidence)
noun
1. borderless, boundless; God. Not a being, but the ground of being who created "things" that go on throughout infinity, .. like the sands of the sea, or the stars of heaven.
Now I guess infinity could be a noun too, like what they mistakenly have for Infinite: "a space or quantity that is infinity", and here we can have the different sizes of infinity. But never different sizes of Infinite, because Infinite is not a size, or quantity.
Hope and pray that helps, English is my third language, but I'm learning. And yes, I'm sure you will try to use this against me, but logic and evidence is a universal language.
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"When and where did I ever say "there is one infinity"?" I never said you did. So why did you tag my name to that?
"Why don't you guys just admit it, the subject on Infinite, infinity, nothing is way beyond you." I never said anything that should give you that assumption. So why did you tag my name to that?
"So far not one of you has ever come even close to understanding the subject of any one of these words." You need to recheck the responses to you and clarify which of us you are speaking about with this statement. Your ad hominem does not apply to all of us.
At this point I see you keep lumping me in with everyone else you disagree with even though I made no arguments even close to similar to theirs. I made 2 statements of which do not apply to anything in your response. 1 was a serious response of which you do not even address and the other was an obvious joke. You didn't even address the joke either. Nothing you just said applies to anything I said. Leave my name out of it unless you are going to reply to something I actually said.
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Quoting what I said, yet saying nothing for yourself? What's your point? Speak, boy. Speak.
Are you implying that you tagged my name because your response was also in regards to the joke I made? So, you was seriously arguing with my joke? Wait..... you didn't get that it was a joke, did you?
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"But there is just One Infinite" - Claim of single infinity
There is either not multiple sizes of infinity, or there aren't. If there is only a single infinite. There cannot be differing sizes.
I agree however, this may simply be the result of a poor grasp of English. It is not my intention to use it against you, your simply making a logically conflicting statement.
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God doesn't exist so whatever you say about God is irrelevant.
And yes, I'm sure you will try to use this against me, but logic and evidence is a universal language.
Well, you're using semantic arguments, so I guess I have to use it against you??
like what they mistakenly have for Infinite: "a space or quantity that is infinity"
I don't see how they have mistaken it, I see you have gotten your definitions from Oxford dictionary(good choice btw) and you can click "Example Sentences" if you are unsure.
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@EmeryPearson There is either not multiple sizes of infinity, or there aren't. If there is only a single infinite. There cannot be differing sizes.
Now this is what happens when Big-bangers get angry for being proven wrong. Keep on trolling brother, .. keep on trolling!
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You were having problems understanding the difference between Infinite and infinity, so I won't have to explain it twice, I added you in.
Thank you, and good night.
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As it is, you are choosing to corrupt language to suit your own purpose and your purpose only.
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"You were having problems understanding the difference between Infinite and infinity, so I won't have to explain it twice, I added you in." Who told you I was having problems understanding it? I didn't say anything that would give that impression. The only response I made to you in this thread was a joke. Do you seriously think I don't understand infinity just because I made a joke instead of a serious response? The only statements of mine that you quoted was me asking why you tagged my name and the joke I made. You showed nothing that gives any impression that I do not understand infinity. You chose to pretend to assume I don't due to the joke I made. Learn to take a joke, bro.
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Infinity is things going on and on, .. while Infinite is without borders. For the hundredth time, you cannot have two Infinites, let alone innumerable of them that defines infinity. Look, I realize now that these subjects are beyond you fellas, so it's like the old saying: "Try as you may, but you can't teach rocks anything" .. or something like that!?
What's the use, .. you guys have to defend your science fiction universe, so how could you accept the proper definition of Infinite/God, .. right?
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@LogicVault see, I know a joke when I read one! I just gave your last comment a funny. It's also to see if you yourself can take a joke?
So tell me, how do you understand the difference between Infinite and infinity?
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Infinite is just a word.
You can have as many infinites or infinities as you want.
Just as you can have as many Gods as you want.
They are created inside your head and nowhere else.
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You put funny on the wrong response. That one wasn't the joke. And if putting funny on a serious response referring to a joke made previously is your idea of a joke, then I'm not surprised if mine confused you.
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