Imagine Time As A Tide Medium To Record Bookmarks Of Time For A Universe, But What About The Sum Of Infinite Natural Numbers Equal To -1/12 or -1/8?

Watching “Sum of Natural Numbers (second proof and extra footage)” video on YouTube, and I’m amused how the proof got to an answer of -1/12 for the summation of 1+2+3+4+n… (i.e., n to the infinity).  Part of the proof, the professor uses the geometric series (if I’m not wrong about this to be geometric series) of — 1+x+x^2+x^3+x^n… (as n to the infinity) equal to 1/1-x — to manipulate more numbers in more ways to come up with -1/12 as the answer to the sum of the infinite basic numbers such as 1+2+3+4+n… (as n to the infinity).  So, I guess if the proof in which the professor explains in the video is correct, adding basic items in a series to the infinity would equate to -1/12.  Nonetheless, what mind-blowing about this is that adding all the positive things yet it turns out to be a negative thing as in -1/12 (negative for sure).  Check out this video right after the break.

What is even more nifty is that I found another video on YouTube which relies on the video above to refute the -1/12 answer to the sum of positive things, and the video would argue that -1/8 is the real answer to this scenario.  Well, by now I’m totally confused by both videos for sure.  So, is it -1/12 is the answer to 1+2+3+4+n… (to the infinity) or the answer would be -1/8?  Check out the next video right after the break.

Anyway, it’s quite amusing, and I’m not sure if I’m ever going to be able to understand this proof.  Anyhow, maybe someday my mind will be a little brighter than now and I’ll definitely see how -1/12 would be the answer of the sum of infinite positive numbers.  Or is it that only the sum of all positive number series would equate to -1/12 or -1/8, but adding non-series numbers in total to the infinity would not equate to such answer?  But, all numbers like natural numbers can always be counted to the positive, thus does it really matter that non-series numbers in total to the infinity would turn out to be any differently than -1/12 or -1/8?


To be honest, I was wondering about how time and space can be infinite or not, and a similar question on Quora (Can time be infinite and space be finite?) got an answer which directs me to the first YouTube video which I had posted near the very top of this blog post.  Yep, that’s how I found out about these videos.

Personal thought:

Right now, I imagine time as in a single tide travels to an imaginative beach in which this beach got no sand barrier to block the tide, and this tide would ride on into the infinity and would never be able to hit against the sand barrier of the beach.  I imagine that each tide is a time.  Thus with this imagination I can conclude that each tide is an origin which represents a time medium.  Nonetheless, this time tide medium isn’t a regular tide, and so it would have history of time, like bookmarks of time.  Anything which rides upon the time tide medium would move forward with time, but leave history in bookmarks of time tide medium.  This imagination would allow me to go further by concluding that I can travel in time by revisiting the bookmarks of time tide medium, or perhaps I can jump to another time tide medium to visit the bookmarks of time of not my own altogether.  If this is possible, does it mean jumping to another time tide medium would mean escaping the current universe?  After all, I assume that different universe should allow a different behavior of time tide medium, because each time tide medium could behave differently altogether.  Anyway, this whole crazy mess I just ranted on is my imagination, and it has no proof of anything — meaning it’s nothing in reality and just an imagination (i.e., a fairy tale).

Pyramids Might Not Be Grain Storages, But Ben Carson May Be Onto Something

Politics is not something I’m deeply interested in nowadays.  I don’t follow any recent politicians’ debate, but we all know these political debates are heating up since president Obama’s term is about to be over.  With all of that being said, CNN’s article “Carson’s theory: Egypt’s pyramids stored grain” caught my eyes and interest, because common sense tells me that nobody, ancient or not, is stupid enough to build a luxurious tomb for a king or pharaoh in pyramid size and visibility.  Even if the pyramid was first built solely for storing a pharaoh’s mummified body, common sense tells me this would be a stupid idea nevertheless.

Pyramids were built so long ago, and so I think theories about the pyramids are at best just theories.  Thus, I can’t really outright think that Ben Carson is completely wrong.  Perhaps, Ben Carson could be wrong on the idea of the pyramids were using as grain storages for the ancient Egyptians, because we don’t truly know what purpose(s) the pyramids were built for.  Perhaps, we could be right all along in teaching schoolchildren in the idea that the pyramids were built for the pharaohs, either for the purpose of storing pharaoh’s mummified bodies or whatever else.  Clearly though, I have looked everywhere on the Internet for the finding of a pharaoh’s mummified body in a pyramid, and the answer is that nobody has ever found a mummified pharaoh or any mummified body in any pyramid, ever.

Could we surmise that the pyramids were built with multiple purposes?  We could surmise that the pyramids were built as monuments for the pharaohs.  Furthermore, we could also surmise the pyramids were built not only as monuments for the pharaohs but these pyramids were ancient Egyptian temples.  We could surmise that the pyramid texts, believing to be ancient Egyptian spells for the dead, were once freshly written on the pyramids’ walls for ancient Egyptian religious purposes.  Still, I don’t think we should jump to the conclusion and think that the pyramids were built as pharaoh monuments and temples, because the pyramid texts alone cannot prove that the theory is 100% correct.  Basically, what can be seen may not always appear to be as it is.

In truth, we can only surmise and form theories on why the ancient Egyptians built pyramids, and turning theories into facts would be jumping to the conclusion at best.  According to the CNN article I’d listed in the first paragraph, Ben Carson believes that the bible told him pyramids were built for storing grains.  In my opinion, he could be way off the mark or he could be right on the target.  Nonetheless, I think Ben Carson is jumping to the conclusion as he is so certain that the pyramids were built to store grains.  I don’t think we can be certain about the true purposes that the ancient Egyptians had for their pyramids, because so many facts are contradicting the theories that we have on the pyramids.  One best example would be we have yet to find a mummified pharaoh in a pyramid.  We could surmise that the mummified pharaohs were robbed from the pyramids, but common sense tells me that the pharaohs must have been very arrogant or plain stupid if they had allowed themselves and their ancestors to be robbed from their tombs so easily.