Monday, August 17, 2009

POST 6 MUTUALLY EXCLUSIVE & JOINTLY EXHAUSTIVE

UPLOADED ON
HIJRAH 1430 Sha'ban 25
Monday, August 17, 2009
UP DILIMAN CAMPUS

GEOMETRY & MATHEMATICS OF RELIGION
PART 1 OF 2
Geometrical/Mathematical Tool for aiding one's thinking about concepts
WARNING: GROSSLY OVERSIMPLIFIED

Consider the three circles intersecting at their centers... I will not go into the geometry of the plane figures but those who studied high school geometry know that a lot of theorems can be derived from such a configuration... I will use the circles a la Venn Diagram or Euler Circle... I shall try to categorize & classify human beings according to their professed religions & simplify the case to just the three major ABRAHAMIC faiths: Judaism, Islam & Christianity... [PORTION DELETED]
Now consider the mathematical model of the intersecting circles wherein masses of human beings are represented as plane areas This is an extremely simplified model because other individuals or groups of human beings are not represented - where are the ATHEISTS or AGNOSTICS, the HINDUS, the BUDDHISTS, the CONFUCIANS the ANIMISTS, the NEW AGERS, the WICCANS, the DEVIL-WORSHIPPERS etcetcetc... But this is precisely one purpose of (mathematical) modeling, to simplify a problem so that a pattern may be discerned... Of course the modeller should be aware of the limitations of the model she is using... And what conclusions are justified or may be derived from the limited model... In real science, + or - approximations and margins for error are provided... SCIENCE WAS, IS AND ALWAYS WILL BE A "THEORY" AS IN AN UNFINISHED ENDEAVOR...

The three circles divide the plane into seven(7) contiguous (close together) sectors. These sectors are similar because the image has some symmetry... We let the plane represent the human beings who adopt/profess even NOMINALLY (just in name or in public documents though they never follow the religion's commandments, injunctions or teachings... So all Christians are found within the circle of CHRISTIANS, all Muslims are within the ISLAM circle & the Jews are found within the JEW circle.

OH BY THE WAY NOT ALL THINKING INDIVIDUALS AGREE WITH SUCH MATHEMATICAL MODELLING OF HUMAN BEINGS (ONE OF THEM IS LYNDON LAROUCHE WHO CRITICIZES THE WAY THINKERS SINCE NEWTON INCLUDING SUCH FIGURES AS JOHN VON NEUMAN ETCETC HAVE GROSSLY OVERSIMPLIFIED HUMAN BEINGS... The crucial element, the HUMAN FACTOR, the HUMANITY of the INDIVIDUAL HUMAN is not presented... Nevertheless, one can see the possible practical uses of such models
in crowd study, crowd control, handling masses of people, mass classification etctetc MARXISTS I think adopt such broad generalizations with their conceptions of CLASS, PROLETARIAT , etctetc Of course the PHILOSOPHY OF MARXISM IS DIALECTICAL MATERIALISM...

OF COURSE, I AM AWARE THAT I MYSELF CAN BE TREATED AS A MERE POINT IN THIS GEOMETRIC MODEL BUT MY EXISTENTIAL-RELIGIOUS POSITION CAN COMPLETELY
GO AGAINST THIS POINT OF VIEW... I CAN CLAIM I HAVE MY OWN CIRCLE OF ONE POINT & IT DOES NOT AT ALL APPEAR IN THE MODEL!... This is one nice thing about ISLAM that I like: it does not destroy one's INDIVIDUALITY... Even if one goes to pray with the JAMAAH still after that one can pray alone by oneself... Even the PROPHET practiced such silent aloneness (not loneliness - one may be alone but one is not necessarily lonely & one may be in a crowd of laughing humans & yet one is sadly alone!!!) THus, there are SUFIs and other
interpreters of ISLAM who believe there is an HIDDEN ESOTERIC side to the QuR'AN & the DEEN etcetctetc


PART 2 OF 2
HIJRAH 1430 Sha'ban 24
Sunday, August 16, 2009 GC
At Home

Continuation
=========================================
"MUTUALLY-EXCLUSIVE & JOINTLY-EXHAUSTIVE"
=========================================

THE CIRCLE OF THREE RELIGIONS [ANOTHER JAMAAL ORIGINAL TADAAHHHH!!!]
Continuing my grade school diagram of the three major ABRAHAMIC faiths... One who identifies himself with only one or just two or all three of the three major world religions may view human beings as being classified or falling into one of three areas of the seven (7) sectors in the diagram. Three sectors are colored and the other four I simply label with the letters "A", "B" & "C" and the center sector with the numeral "1". If the three circles represent all human beings belonging
to the three religions of ISLAM, JUDAISM & CHRISTIANITY, then we may consider the RED sector as those individuals who are exclusively JEWS, the BLUE sector as "pure" CHRISTANS & the GREEN as exclusively MUSLIMS. There are no half-cooked, half-breeds, 50-50, so-so in these sectors. [ALWAYS REMEMBER or NEVER FORGET: this is just a model & overly-simplified...] Now, what or who are those found/located/represented in sectors A, B & C? And those in the middle sector 1? I would say that those in sectors A would form the intersection of JEWS & CHRISTIANS, meaning those whose father might be a JEW & mother a CHRISTIAN & professes either religion [But I think one can be a real Jew only if one's mother is a JEWESS...?] These can also be the sector of the ALLIANCE of JEWS & CHRISTIANS (Those who believe JEWS & CHRISTIANS are not antagonistic to each other & may even be allied...) Similarly
sector B would be those JEWS & MUSLIMS who are allied or do not consider the other as enemy & sector C would form the sector of MUSLIM-CHRISTIAN alliance... There is a saying that "your enemies enemy is your ally" or something similar but I don't fully agree with this...
Anyway, the point in this exercise is the diagram shows us that there is the possibility (We are not claiming that indeed "there actually exists" out there in the real world) of alliances between MUSLIMS & CHRISTIANS, JEWS & MUSLIMS, & CHRISTIAN & JEWS. IF (Those who are not familiar with COUNTERFACTUALS may research/read a little in popular books on Philosophy or the Internet.) - IF the colored sectors represent "purists" who reject the "unpure" then we may say that the colored sectors represent mutually exclusive sectors of MUSLIMS, CHRISTIANS & JEWS... And the intersecting sectors would be the less antagonistic as in accomodating sectors of each RELIGION... Sector A may represent the MUSLIM-JEW ALLIANCE AGAINST CHRISTIANS, sector B may represent the CHRISTIAN-JEW ALLIANCE AGAINST MUSLIMS, and sector C may be the MUSLIM-CHRISTIAN ALLIANCE AGAINST JEWS! And the central sector would be the universalists as in those who find all three religions as all acceptable & NOT EXCLUSIVIST. Does this mean that those in sector 1 are AGAINST the PURISTS in all three religions? Or does this mean that sector 1 represents those who can go along peacefully with any member of any of the three religions?... I PREFER TO VIEW SECTOR 1 AS THE TRUE MUSLIM WHO IS ALSO THE TRUE CHRISTIAN & THE TRUE JEW... THE TRUE MUSLIM IS NON-DIFFERENT FROM THE TRUE CHRISTIAN & THE TRUE JEW.

DEAR READER, What do your think?

Exercise (in futility:) or Homework:
How about well-known or popular individual personalities whom we have come to identify with this or that religion like the present Roman Catholic Pope Benedict or Pope John Paul II or Usamah Binladin or Saudi King Abdullah or ex-Pres. George Bush or Pres. Obama or Yasser Arafat or Ayatullah Khomeini or ETCETCETCETCETCETC...
WHERE WILL YOU LOCATE EACH PERSONALITY? WHAT DOES IT MEAN FOR THEM TO BE LOCATED WITHIN THAT SECTOR OF OUR GEOMETRIC MODEL?
If Mr. X hates Jews & believes in an alliance of Muslims & Christians against the third party, then Mr. X would fall in sector C. But is this interpretation correct or true?
WHAT IS THE TRUE?

SPECIAL BONUS PROBLEM:
USING THE SAME MODEL ANALYZE THE MAJOR RELIGIONS OF THE WORLD
INCLUDING HINDUISM, BUDDHISM, SHINTOISM, CONFUCIANISM, CONFUSIONISM ETC ETC TO BE SUBMITTED "PASA" ASAP

No comments:

Post a Comment