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KNOWLEDGE OF
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GAMETHEORY IS CONCERNED WITH RATIONAL WAYS OF PLAYING
  • BY A.D.DeGROOT
    THOUGHT AND CHOICE...

    [...]THE RAPID INSIGHT OF THE MASTERPLAYER INTO
    THE POSSIBILITIES OF A NEWLY SHOWN POSITION,HIS
    IMMEDIATE ' SEEING ' OF STRUCTURAL AND DYNAMIC
    ESSENTIALS, OF POSSIBLE COMBINATORIAL GIMMICKS,
    AND SO FORTH, ARE ONLY UNDERSTANDABLE IF WE
    REALIZE THAT AS A RESULT OF HIS " EXPERIENCE "
    HE QUITE LITERALLY ' SEES ' THE POSITION IN
    A TOTALLY DIFFERENT ( AND MUCH MORE ADEQUATE )
    WAY THAN A WEAKER PLAYER.

    THE VAST DIFFERENCE BETWEEN THE TWO IN EFFICIENCY,
    PARTICULARY IN THE AMOUNT OF TIME TO FIND OUT WHAT
    THE CORE PROBLEM IS ( ' WHAT'S COOKING REALLY ' )
    AND TO DISCOVER HIGHLY SPECIFIC, ADEQUATE MEANS OF
    THOUGHT AND FIELD ACTION, NEED NOT AND MUST NOT BE
    PRIMARILY ASCRIBED TO LARGE DIFFERENCES IN
    ' NATURAL ' POWER FOR ABSTRACTION.
    THE DIFFERENCE IS MAINLY DUE TO DIFFERENCES IN
    PERCEPTION.

    IT IS ABOVE ALL " THE TREASURY OF READY EXPERIENCE "
    WHICH PUT THE MASTERPLAYER THAT MUCH AHEAD OF THE
    OTHERS.
    HIS EXTREMELY EXTENSIVE WIDELY BRANCHED AND HIGHLY
    ORGANIZED SYSTEM OF KNOWLEDGE AND EXPERIENCE
    ENABLES HIM, FIRST, TO RECOGNIZE IMMEDIATELY A
    POSITION AS ONE BELONGING TO AN UNWRITTEN
    CATEGORY
    WITH CORRESPONDING FIELD MEANS TO BE APPLIED, AND
    SECOND, TO ' SEE ' IMMEDIATELY AND IN A HIGHLY
    ADEQUATE WAY ITS SPECIFIC, INDIVIDUAL FEATURES
    AGAINST THE BACKGROUND OF THE CATEGORY.

    IT IS NO ACCIDENT THAT THE WORD ' SEEING ', AS
    USED HERE, STANDS BOTH FOR PERCEPTION AND
    ABSTRACTION.
    THE TWO PROCESSES TEND TO FUSE TOGETHER; THEY ARE
    DIFFICULT TO DISTINGUISH.
    BUT IF A MASTERPLAYER AND A WEAKER PLAYER ARE
    COMPARED, OFTEN THE FORMER LITERALLY 'SEES'
    POSSIBILITIES THAT ARE DEEPLY HIDDEN FOR THE
    LATTER, POSSIBILITIES THAT THE LATTER MUST FIRST
    TRY TO DISCOVER, CALCULATE, THINK OUT, OR DEDUCE
    IN ORDER IN HIS TURN TO BE ABLE TO ' SEE ' THEM.
    IN OTHER WORDS, THE DIFFERENCE IN ACHIEVEMENT
    BETWEEN THE MASTERPLAYER AND NON-MASTER REST
    PRIMARILY ON THE FACT THAT THE MASTERPLAYER,
    BASING HIMSELF ON AN ENORMOUS EXPERIENCE,
    [ CAN START HIS OPERATIONAL THINKING AT A MUCH
    MORE ADVANCED STAGE ] AND CAN CONSEQUENTLY
    FUNCTION MUCH MORE SPECIFICALLY AND EFFICIENTLY
    IN HIS PROBLEM-SOLVING FIELD.

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