Hi Ladislav,

On Monday, April 18, 2005, 6:26:01 PM, you wrote:

LM> IOW, when we have got a representation, it is time to "forget" about it
LM> and to try to describe the properties that do *not* depend on the
LM> representation. Some properties become "accessible" if we "forget" the
LM> details. (It is not obvious why this is true.)

Sure.  And,  there's  space for discussing the representation too,
sometimes.  The reason why some of us here tend to spend more time
discussing  the representation instead of the number is that we're
more interested in REBOL than in math. ;-)

But,  you're  right  that we shouldn't confuse the two things, and
probably I did sometimes.

LM> Would you consider it right to say that 1 / 3 and 2 / 6 are two distinct
LM> but identical rational numbers? (This surely has got some "rational"
LM> core, because set-theoretically these *are* two distinct representations
LM> of one rational number).

If  we  refer to the character strings "1 / 3" and "2 / 6" in your
email  message,  they are two distinct representations of the same
number.

LM> there are many distinct representations of one rational number, the
LM> rational number in question is just one rational number.

I  agree.  However,  were  we  discussing rational numbers, or how
REBOL represents them? ;-)

>>This   problem  goes  away  as  soon  as  you  say  "two  distinct
>>representations  of  the  same  value".

LM> Yes! That is what I am trying to say all the time! "Two distinct
LM> representations of the same value" is it.

So we got to an agreement, in the end. :) Took so much time if you
think about it... when did we start this discussions?

It's  interesting anyway how many discussions are actually most of
the   time  terminology  discussions.  The  main  reason  is  that
different  people  don't always share the same definitions for the
terms  they  use.  Or,  they  just  don't care and write a message
quickly,  trying  to  explain with whatever term seems to work. ;)
Maybe I do this more often than I should.

>>I  agree  that  an  "abstract",  i.e.  implementation-independent,
>>description  of  REBOL  is useful; however, only Carl could really
>>provide  us  with  something  like  that.

LM> I have shown above, that in a specific case he didn't succeed to do it
LM> just because he didn't "forget enough implementation details". Moreover,
LM> my article inspired his short Same? function description, see the
LM> evolution of the Same? function help. This proves (for me at least) that
LM> the last statement needn't always be true.

Yes,  but what I mean is that we can never say for sure what is an
implementation detail and what is not.

Regards,
   Gabriele.
-- 
Gabriele Santilli <[EMAIL PROTECTED]>  --  REBOL Programmer
Amiga Group Italia sez. L'Aquila  ---   SOON: http://www.rebol.it/

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