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30th April 2015, 04:40 AM  #361 
Penultimate Amazing
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What I wrote is much more rigorous than your fantasy of "the series for an infinite sequence [that] is, by definition the limit of the sequence of partial sums".
Your definition is a fantasy (relatively or absolutely) exactly because so your call for definition does not hold water. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 04:55 AM  #362 
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Curious you think the word you inserted belongs there. It is further evidence you don't understand the meaning of 'limit' nor 'sequence'. And, no, you didn't provide anything to discredit what I have written. You merely complained about something that did not even appear in the proof.
Nevertheless, you may use your own doronlimit if you wish. You just need to define it. Why has defining things proven so difficult for you? 
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30th April 2015, 04:59 AM  #363 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 05:10 AM  #364 
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Please support your argument about me (that I "don't understand the meaning of 'limit' nor 'sequence'" because I'v added the word [that]) in details.
Only if you do that rigorously, then and only then you can start to talk about the validity of your, so called, definition. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 05:40 AM  #365 
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Not 'because'. The curious word addition you made was additional evidence. My statement was correct without the addition, and becomes a nonsentence with the addition.
Quote:

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30th April 2015, 05:43 AM  #366 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 05:47 AM  #367 
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EDIT:
Exactly, since infinity is not involved in your definition of limits. As a result it is no more than your fantasy, simply because no sum of any given sequence is identical to a given limit if infinity is not involved. Once again your dogmatic philosophical (and I would even add religious) approach about definitions, is exposed. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 05:48 AM  #368 
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30th April 2015, 06:00 AM  #369 
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Your definition of limits is incorrect exactly because infinity is not involved in it.
Its validity it is no more than your fantasy, exactly because no sum of any given sequence is identical to a given limit if infinity (in its relative or absolute forms) is not involved in the definition. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 06:07 AM  #370 
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Originally Posted by jsfisher

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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 06:24 AM  #371 
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Still, despite your protestations, the definition stands unphased.
Now, it may be its utility you challenge. Challenge away, but the best way to do what would be to define for us your new and improved version of doronlimit. Who knows what great insight your alternate might provide. You need only define doronlimit so we can proceed to the next step. 
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30th April 2015, 06:26 AM  #372 
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30th April 2015, 07:04 AM  #373 
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Your statement is consistent with the current agreement about the meaning of 'limit', which is wrong exactly because infinity is not involved.
As a result 0 < a_{n}  L is perfectly acceptable and so is 0.999..._{10} < 1, simply because they are inseparable of each other. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 10:07 AM  #374 
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Current? Well, I suppose. These things don't tend to change, though, especially when they are as useful as this one is.
Quote:
Quote:
Quote:
On the other hand, if you'd prefer something besides 'limit' to explore, all you need do is define that something first. 
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30th April 2015, 12:58 PM  #375 
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Usefulness in not fixed, it can be developed beyond its current state, for example the usefulness of the difference between 0.999..._{10} and 1, if infinity is involved in its relative or absolute forms, exactly as explained in http://www.internationalskeptics.com...&postcount=358.
The current definition is one of those things that is restricted only to finitism. As a result it can't distinguish, for example, between the sum over (0.9_{10}, 0.09_{10}, 0.009_{10}, 0.001_{10}) = 1 and the sum over (0.9_{10}, 0.09_{10}, 0.009_{10}, ...) < 1 The current definition of limit is inconsistent exactly because 0 < a_{n}  L and, for example, 0.999..._{10} < 1 are wrongly defined as separable of each other (and as a result 0 < a_{n}  L AND 0.999..._{10} = 1). It is a perfectly clear and valid statement that gets rid of the separability (as described above) that is at the heart of your currently accepted definition, which is wrong because of this separability. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 03:15 PM  #376 
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We all anxiously await your definition of 'doronlimit' to facilitate this great development.
Quote:
Quote:
Quote:
Quote:
Quote:

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30th April 2015, 08:42 PM  #377 
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I'm an "intellectual giant, with access to wilkipedia [sic]" "I believe in some ways; communicating with afterlife is easier than communicating with me." Tim4848 who said he would no longer post here, twice in fact, but he did. 

30th April 2015, 11:23 PM  #378 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

30th April 2015, 11:36 PM  #379 
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Your failure to understand the fallacy of 0 < a_{n}  L AND 0.999..._{10} = 1, is indeed disdain for Mathematics.
It is not 'doronlimit' but simply 'limit'. Let X be a placeholder for that is summed. If X  L = 0 then L is called the limit of X. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

1st May 2015, 12:03 AM  #380 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

1st May 2015, 12:14 AM  #381 
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You indeed have no idea, exactly because
Some example: determining the limit of (0.9_{10}, 0.99_{10}, 0.999_{10}, ...) actually prevents the understanding that the sum over N terms in (0.9_{10}, 0.09_{10}, 0.009_{10}, ...) < 1 without 0.000...1_{10} (which is rigorously explained in terms of the relativity between different transfinite cardinals in http://www.internationalskeptics.com...&postcount=347). 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

1st May 2015, 02:40 AM  #382 
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1st May 2015, 06:44 AM  #383 
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I'm an "intellectual giant, with access to wilkipedia [sic]" "I believe in some ways; communicating with afterlife is easier than communicating with me." Tim4848 who said he would no longer post here, twice in fact, but he did. 

1st May 2015, 06:45 AM  #384 
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I'm an "intellectual giant, with access to wilkipedia [sic]" "I believe in some ways; communicating with afterlife is easier than communicating with me." Tim4848 who said he would no longer post here, twice in fact, but he did. 

1st May 2015, 07:36 AM  #385 
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Already given in http://www.internationalskeptics.com...&postcount=379.

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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

1st May 2015, 07:40 AM  #386 
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Why do you think that is important?
Again, http://www.internationalskeptics.com...&postcount=363 is very simple and can be understood by any one. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

1st May 2015, 10:41 AM  #387 
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I'm an "intellectual giant, with access to wilkipedia [sic]" "I believe in some ways; communicating with afterlife is easier than communicating with me." Tim4848 who said he would no longer post here, twice in fact, but he did. 

1st May 2015, 10:45 AM  #388 
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It's important because you like to make your own definitions of existing words. In addition, your post does not make it clear. I can say that 1 is on a higher level than 10 because it's closer to 0.
9 is a higher level than 8 because 8 < 9. Please define doronlimit. 
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I'm an "intellectual giant, with access to wilkipedia [sic]" "I believe in some ways; communicating with afterlife is easier than communicating with me." Tim4848 who said he would no longer post here, twice in fact, but he did. 

1st May 2015, 02:13 PM  #389 
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That post uses a definition that gets rid of the failure of the standard definition that according to it 0 < a_{n}  L AND (0.999..._{10} = 1 OR 0.333..._{10} = 1/3).
The needed details are provided in http://www.internationalskeptics.com...&postcount=358. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

1st May 2015, 02:20 PM  #390 
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My post is vary clear because it uses only absolute values of the place value method, such that 0 is the lowest level that does not contribute anything to a given sum.
Please look at http://www.internationalskeptics.com...&postcount=348. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

1st May 2015, 03:56 PM  #391 
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1st May 2015, 08:18 PM  #392 
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A post that refers to other posts. Typical. Are you denying that 1/3 = .333... ?
Please tell me what is the result of: ____ 3)1.0 Show your work. Edit : Sorry, I don't know how to show the long division sign. I'm trying to figure it out in LaTeX. Edit2: It seems I can't see LaTeX. 
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I'm an "intellectual giant, with access to wilkipedia [sic]" "I believe in some ways; communicating with afterlife is easier than communicating with me." Tim4848 who said he would no longer post here, twice in fact, but he did. 

1st May 2015, 09:05 PM  #393 
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"It uses only absolute values of the place value method, such that 0 is the lowest level that does not contribute anything to a given sum."
That still does not make any sense. What sum? You still have not defined doronlevel. Please try to define it. Don't give examples. 
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I'm an "intellectual giant, with access to wilkipedia [sic]" "I believe in some ways; communicating with afterlife is easier than communicating with me." Tim4848 who said he would no longer post here, twice in fact, but he did. 

2nd May 2015, 12:00 AM  #394 
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I ma glad that you are amused.
After that, all you need is to open your mind to http://www.internationalskeptics.com...&postcount=379. 
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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

2nd May 2015, 12:06 AM  #395 
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Please try to understand http://www.internationalskeptics.com...&postcount=363 by keeping in mind that 0 is the smallest sum.

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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

2nd May 2015, 05:10 AM  #396 
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Yeah, Little 10 Toes, it is all your fault for not understanding doronshadmi's gibberish...just like everyone else.

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2nd May 2015, 07:25 AM  #397 
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Yeah, jsfisher, now you ignore http://www.internationalskeptics.com...&postcount=379.

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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

2nd May 2015, 07:36 AM  #398 
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It was not ignored. It was discounted. You posting disjoint thoughts with no logical connection among them does not obligate anyone else to respond to your individual posts.
Why not simply tell us what you'd like your own private definition for limit (we'll call it 'doronlimit') to be? Surely at some point in your lifelong quest to overturn Mathematics you will be able to define something. Why not this for a start? 
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2nd May 2015, 04:28 PM  #399 
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So, by the following two posts and the lack of response to my questions, it appears that you don't know how to do long division, and cannot or will not define "doronlevel" (meaning they way that you use the word limit). And why do we care about why you think that 0 is the smallest sum? You still believe that 0.00...1 is still a number.

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I'm an "intellectual giant, with access to wilkipedia [sic]" "I believe in some ways; communicating with afterlife is easier than communicating with me." Tim4848 who said he would no longer post here, twice in fact, but he did. 

3rd May 2015, 04:46 AM  #400 
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Please support your argument in details, according to http://www.internationalskeptics.com...&postcount=379 content.

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That is also over the matrix, is aware of the matrix. That is under the matrix, is unaware of the matrix. For more details, please carefully observe Prof. Edward Frenkel's video from https://youtu.be/PFkZGpN4wmM?t=697 until the end of the video. 

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