Thursday, August 27, 2009

POST 7 FIXING & CORRECTING

HIJRAH 1430 Ramadhan 07?
FREEDAY, August 28, 2009
UP DILIMAN CAMPUS

I shall rewrite the posting "MUTUALLY EXCLUSIVE & JOINTLY EXHAUSTIVE" because it is more about PHILO OF RELIGION rather than LOGIC. I shall probably delete this last 2 postings of mine... The more fitting title should have been "LOGIC DIAGRAMS". I am reminded of MARTIN GARDNER'S book of the same title which introduced me to the matter. I read this book when I was a college freshman. I remember very well that section of the UP MAIN LIB. The PHILO books were all found in front at the left side of what is now the Reference section. Other excellent books on Literature etcetc were found at the middle & back part. I devoured all the good ones - THE COMPLETE WORKS of H.G. WELLS, COMPLETE SHERLOCK HOLMES, SCI-FI, NIETZSCHE, etcetc ... I was an ELECTRICAL ENGINEERING major then. One of my engineeering classmates who saw the books I had been borrowing warned me to stop reading these & other pocketbooks... He knew better... Guess what? I failed to finish my original course - precisely because I was studying - different subjects!! Who told you studying hard cannot lead to failure/flunking?

LOGIC DIAGRAMS:
Euler Circles & Venn Diagrams

One may claim that these spatial representations of logical notions are some of the very first
CONCEPTUAL MAPS. Conceptual maps are another important topic I wanted to tackle in this BLOG but I shall just insert URLs of excellent websites devoted to this topic. And good book titles too. Conceptual mapping has been associated with such writers as TONY BUZAN et al but actually these things are as old as the MEDIEVAL period.

I have always considered PATTERN & ORDERLINESS as hallmarks of a RATIONAL MIND; that intelligent people practice ORDERED/ORGANIZED/SYSTEMATIC thinking. [BUT I once had a very intelligent MAGNA CUM LAUDE engineering graduate teacher who taught very well but had terrible handwriting & was very topsy-turvy/disorganized! I guess to every rule there is an exception!] Educators have determined that drawing diagrams & patterned maps help in thinking. Apparently, the brain imitates the map & reorganizes itself. BUT, again, the brain actually does not seem to be organized when it comes to storing ideas in memory - It seems that
there is no single spot or area in which all our ideas are stored, clumped together. Like in a computer diskette wherein the data are NOT stored in ordered, contiguous areas but are scattered all over the disk sectors. (DEFRAGMENTING one's hard drive tries to join together
these fragmented data, thus saving space & time.)

Compare a field or garden wherein the plants/trees are scattered randomly with another one wherein these are patterned as in rows and columns, circular hedges etc See the difference? Yet patterns do not seem to be common in NATURE. When we find such patterns in the outside world we automatically assume there is a pattern-maker, a designer, that human beings must have created these... Is NATURE DISORDERLY & ARE HUMANS DESIGNERS/PATTERN-MAKERS?
Circles, Squares, Triangles...
CONSPIRATORIAL GEOMETRY...

JUST DELETED IN THIS EXACT SPOT THREE IMAGES of CIRCLE & TWO EQUILATERAL TRIANGLES WHICH TURNED OUT DISORDERED!... I CANNOT MASTER THIS BLOGGER ENTRY FORM. MY TXT FILE ENDS UP DISORDERED...

-SQUARING THE CIRCLE
-RULER & COMPASSS GEOMETRIC CONSTRUCTIONS
-HOW TO DRAW A PERFECT PENTAGRAM STAR, PENTAGON
-GEOMETRIC ORIGAMI PAPER FOLDINGS
-THE NUMBER pi
-THE NUMBER e
-THE GOLDEN PROPORTION/RATIO

BUT THESE ARE ALL ABOUT GEOMETRY & MATHEMATICS...
I am writing only about LOGIC...
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