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Wednesday, September 03, 2008

AI - Fuzzy Logic and Upanishads

I noticed this resemblance between the two. Here goes my account:

Fuzzy logic is basically the existence of something between truth and lie. Fuzzy logic associates a 'degree of truth' with every statement. (For example, "Aditya is tall" cannot be tagged as 'true' or 'false' directly. It would be associated with a number, say, 0.5 depending on 'how true' it is.)

Fuzzy logic has this concept of the fuzzy universe - something that includes everything. It is a general representation of the line 'It is.' Fuzzy logic proposes that every fact is a fact of this universe.

I heard my AI prof Pushpak Bhattacharyya say - " The null set is a subset of the Universe. The Universe, in fact, is a subset of the null set too." I had a tinkle in my eyes.


Centuries before fuzzy logic was thought of, the Upanishads quoted: "Om Poornamadah poornamidam, poornaat poornamudachyate. Poornasya poornamaadaaya, poornamevaavashishyate".

It translates to :

THAT IS WHOLE
THIS IS ALSO WHOLE
FROM THAT WHOLE
THIS WHOLE HAS COME OUT
BUT EVEN THOUGH THIS WHOLE HAS COME
OUT OF THAT WHOLE
YET THAT WHOLE REMAINS WHOLE ONLY

The concept that the universal truth was from a null and will converge in a null is an idea thought of centuries ago.

One is amazed at the extent of knowledge that the Hindu shloks and mythological stories hide in them...




Translation of the shlok : http://www.s-a-i.info/assoc_change/stotrams_c/stotra13.html
Prof Pushpak Bhattacharyya's home page: http://www.cse.iitb.ac.in/~pb

1 comment:

  1. yeah, that shloka is really great. In the sense, it describes so many things.
    What you've written is about what we call today Fuzzy Logic.
    A pure mathematician would say that the shloka is the description of ZERO or the concept called as INFINITY.
    And an ordinary Hindu since last few millenia has been regarding it as the description of The Almighty...

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