Thursday, January 10, 2008

The Number Larger Than Infinity Defined

(In every New Year Holiday season, two million Japanese make a pilgrimage to this shinto shrine just north of Tokyo, actually in the first three days of the year)




The Number Larger Than Infinity Defined
(Le nombre plus grand que l'infini n'est défini)



According to Einstein's Relativity Theory, if the speed of a moving object approaches the light speed, the distance or the space in front of the object gets shorter or smaller.

In my Relativity Theory of Numbers and Human Cognition, if a man thinks about Infinity, he must think at the light speed to comprehend as it is so infinite.

Yet, in most cases, the practice and trial would result in the diminution of his thinking ability and the halt of thinking eventually, and thus being included in the domain of "Zero" instead of the domain of "Infinity."

It means you have to rely on belief and faith when you think about a thing close to the domain of God, otherwise your thought will diminish to nothing and halt eventually, even if it does not fall into abnormality or madness.


SECTION 1: WE GOT ZERO

Mankind uses the decimal system (base 10), since a man has ten fingers on both the hands, usually.

But, of course, it can be a base-5 system, since we have 5 fingers on each hand.

(In this case, 5, 25 [= 5 x 5], 125 [= 5 x 5 x 5] and even 275 [= 5 x 55] might be regarded as significant numbers like 360, which means December 25, for Sumerians.)

It took a long time until mankind started to use the numeric symbol and the concept of zero.

In Greece and Rome, they essentially expressed 10 as X and 11 as XI.

In China and Japan, we essentially express 10 as "Jyu," with a kanji letter meaning 10, and 11 as "Jyu" "Ichi" with two kanji letters meaning 10 and 1, thus avoiding the use of "Zero" which has of course a kanji expression.

It is still a mystery why ancient Indians could invent the numeric symbol and the concept of zero. Probably, they loved calculation more than anybody.

Or, they might find it in their competition against Sumerians living in ancient Mesopotamia.
(Refer to the EEE Report on July 7, 2005.)


SECTION 2: INFINITY

If you learn how to count from one to five and then five to ten using fingers, you would not easily get the notion of infinity.

But, when you look up at the sky in the night and start to count the number of stars up there, you may be able to start a journey to infinity.

Indeed, the infinity is not a usual number but a target and a concept.

From infinity, any large number a man can imagine looks not so different from zero.

There is an infinite gap between any number a man can imagine and infinity.

Therefore, any large number a man can conceive looks like "a kind of 0," though "not exactly 0," if observed from infinity.

http://en.wikipedia.org/wiki/Large_numbers


(With only two elements in this world, you can create any larger number by combining results of calculation using these two elements.

The total number of combinations of all the atoms and elementary particles in the material universe is actually the real meaningful largest number for mankind.

For, example, "a" and "b" are only two as a number of cases; but "aa," "ab," "ba," and "bb" are four; "aaa," "aab,".... can be larger, especially if "a" and "b" can move and shift in each position at the speed of light or faster.

In addition, if you take the time axis into consideration, the multiplied number will be further larger in this universe.)



SECTION 3: The Largest Number the God Created for our Universe

In science, it is proved that there is no such number that can be called "the largest number in this world."

It is because if there is such a number, say, expressed with "M," we can imagine the number "M" + 1 which is apparently larger than "M." Then, "M" cannot be the largest number in the world, since there can be "M + 1."

Yet, in faith, we can introduce the largest number "M."

We assume the following, since "M" is the largest number:
"M" + 1 = "M" or
"M" + "n" = "M" ("n" can be any number)


Or, rather, this is the definition of the largest number in the world or our universe.

The definition also implies that any number a man can conceive, such as 1 or 100, is exactly "0" when directly compared with "M."

We also assume that "M" is larger than infinity, since infinity is introduced so as to make 1, 100, and so on to be real as those numbers are no more compared with "M" but with infinity that at least accepts reality of those small numbers.


Rather, we believe that the God created "M" first and then other numbers in the way:
"n" = "M" - "(M - n)."

For example, 100 = M - (M - 100).

Even, Infinity = M - (M - Infinity).
(Please click on the image to enlarge it.)

SECTION 4: Two Domains

If you approach to Infinity from 0, 1, 2..., you cannot reach it.

Or, that you cannot reach Infinity while making a number larger is a definition of Infinity.

But, observed from Infinity, any number is not so different as zero, since there is an infinite gap between Infinity and any large number a man can imagine.

If you approach to the kingdom of God from a human way of living, you cannot reach it.

But, observed from "M," Infinity is not so different as zero, since there is an infinite gap between "M" and the number or the concept of Infinity.

But, if you believe the existence of "M," any number can be provided or generated by following the equation:
"n" = "M" - "(M - n)"

ex. 1 = M - (M - 1), 2 = M - (M - 2), etc.


Also, if you increase the value of a number, you cannot reach infinity in the direction from bottom up, just like any efforts based on human wisdom without faith cannot reach the kingdom of God.

Conversely, if you believe the existence of the kingdom of God (M), any human matter (n) can be provided following the equation "n = M - (M - n)."

Indeed, above the domain of the human numbers and Infinity, there is the domain of the largest number in the world "M" and its subset "M - n."

Truly, above the human world, there is the kingdom of God and its subset that can accommodate you.



(In a certain city in Italy, as televised in Japan, they have stopped collecting and picking up garbage and trash on the street due to some physical, administrative, and criminal or Mafia problems.

The garbage identified on a street with your eyes can be disposed anyhow, if you introduce reasonable discipline and effective systems.

But, the garbage of numbers accumulated in books or hard disks of computers may be hard to deal with.

The most advanced civilization might be the one with the least garbage of numbers or the most powerful concept of numbers, as with the most sophisticated love in terms of, say, a bank account.

In any way, folks, it is not easy to master languages and mathematics at the same time in the short period of one's life.)




"WARNINGS AGAINST IDLES"

(Ein warnendes Beispiel)