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                       %LANGUAGE DEPENDENT INSIGHTS 781230

     The  more  sophisticated insights  of  mathematicians
would  be  impossible  without  the  aid  of  mathematical
language,   the complex set of symbols and meanings  which
are used by mathematicians.   It is practically impossible
to  say  the  same  things with words  as  are  said  with
sophisticated   mathematical   symbols,    a     practical
impossibility.   In a similar way there are insights which
may  be gained through the use of computer languages which
are  practically  impossible to gain through  the  use  of
other  languages.    To greater and  lesser  extents  like
situations  exist with respect to each language:   various
verbal languages, body languages, dance, music, art,  hand
sign,   etc.   Rituals,  ceremonies,  and traditions  also
convey  meanings and insights which may be translated into
other languages without loss of their essential content.

     Any  educational  program which focus on any  limited
few languages to the exclusion of others  will exclude the
insights  which  are characteristics  of  those  languages
which  are  excluded from the educational program.    Most
intellectual   educational   programs  of   industrialized
nations  tend to be focused upon verbal languages  to  the
exclusion  of  non-verbal languages.    Thus  intellectual
programs  tend  to  exclude from consideration  many  non-
verbal  insights which are essential to  harmonious  human
cooperation.    The  students  in  such  programs   become
narrowed, even if the intent of the program is to liberate
them   from   provincialisms.    The   provincialisms   of
exclusively  verbal  education  can be imprisoning  to  an
extent which is invisible to exclusively verbally  trained
critics.

     Some   insights   may  not  be   literally   language
dependent, but  it may be very difficult or impossible  to
critically  examine the insight without expressing  it  in
some  form of language.   Insights can not be shared  very
meaningfully  without  the use of language of  some  form.
Thus, even those insights  which  are not totally language
dependent  may appear to be impossible without the use  of
language.    A person  with such an insight may be able to
behave  wisely  in  terms of such a  language  independent
insight  without  first  expressing  the  insight  in  any
language.    The identification of such insights  is,   of
course, language dependent.

                                                                                                                               
                         (c) 2005 by Paul A. Smith in      
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