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Re: [xmca] a minus times a plus

Wow!! That message about missing someone was aimed at Jerry Balzano, whose
mirror explanation is really
interesting and whose presence at LCHC is greatly missed.

This entire thread is fascinating. A summary of the approaches and
perspectives for an MCA editorial would be great.
But meantime, there is this teenager in a housing project downtown who is,
unlike anyone of us old folks, still confused
about the matter.

Wash your hands and have a nice morning.afternoon.evening..... wherever.

On Tue, Apr 28, 2009 at 6:46 PM, Mike Cole <lchcmike@gmail.com> wrote:

> We miss you
> mike
> On Tue, Apr 28, 2009 at 7:28 AM, Jerry Balzano <gjbalzano@ucsd.edu> wrote:
>> On Apr 27, 2009, at 9:49 PM, Andy Blunden wrote:
>>> Why is a number line easier to understand than the
>>> symmetries of topological or rhetorical transformations? I
>>> don't know, but intuitively I think it is. But different
>>> people think differently. Maybe the Linda's rhetorical
>>> explanation is easier for a verbal thinker than a spatial
>>> thinker? (is this mumbo-jumbo?)
>> Andy, although I do think the Mirror is the most powerful and
>> generalizable way to introduce the idea, one that is probably more
>> "ready-to-hand" would use a coin or a card.  Now the transformations are
>> "leave it alone"/"turn it over", and there is nothing esoteric or even
>> particularly "geometric" about them (the pattern is pre-numerical AND
>> pre-geometric).   Turn-it-over twice in succession has same result as
>> leave-it-alone.  Not done with mirrors, or numbers.  ;)
>> But the importance of the pattern is its ubiquity!  Even within the realm
>> of numbers, before the child tackles the "less than zero" stuff, it's
>> customary to learn the "Evens" and the "Odds".  Well, consider how the Evens
>> and Odds behave under addition:  E+E = E;  E+O = O;  O+E = O;  O+O = E.
>>  Adding an odd number "flips" (reflects) what (some of) us grownups would
>> call the "parity" of the number, whereas adding an even number "leaves it
>> alone".  Kind of like what multiplying pos & neg numbers do to the sign of
>> their product.
>> Jerry
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