[FRIAM] The Inside Mind, agaiiiiin!

[⛧ glen]

I'm not sure what kind of notation you're looking for. But there are 2 ways to think about your factorization example. 1) 1+2 = 4-1 = ... can be expressed as sequenced push and pop (successor and predecessor) operators. 2) (1+2)*1 = 2*3-3 = ... can be expressed in terms of associative, transitive, and precedence rules.

(1) has an inside in the sense that you may have to pop a few things off the stack to get to the middle, like licking a lolipop. And (2) has insides of the parentheses and class membership.


On December 9, 2021 4:03:00 PM PST, thompnickson2 at gmail.com wrote:
>I am back worrying about this again.  On the last go round Glen dope-slapped
>me for straw-manning the idea of "inside" and offered me at least one more
>way to interpret the idea than those I had thought of.  I think his idea was
>a thought could be inside another in the sense that one mathematical
>expression can be inside another.  This got me interested in trying to write
>up a very simple example.  So, is there any way of notating the fact that,
>say, there are several different ways to arrange the factors in the
>multiplication of 18 x 22 in order to do it quickly in your head? (My
>favorite is 400-4).  These are all inside in the sense that the result you
>get places no constraints on which of the methods you used to get the
>result.  
>
> 
>
>The other ways I can thing of that something can be inside (other than the
>one I hate)  is physiologically and grammatically.  Are there others I am
>not thinking of?  
>
-- 
glen ⛧