On 03/04/2016 11:17 AM, Russ Abbott wrote:
All that is much to sophisticated for me.  I don't have a theory or a model
(e.g., in terms of interpreters) for how the mind works.

Heh, you claim it's too sophisticated and that you don't have a theory or a 
model for how the mind works, yet you _write_ as if you do.  The things Eric 
and Nick have said would make complete sense if you had no theory/model.  They 
may end up being incomplete.  But they're coherent (as far as I can tell).  I 
believe I'm the same thing they're saying, just in different language.

What I think is actually happening is that you do have a theory/model and what 
Nick and Eric say simply doesn't fit your theory/model.  That's OK, of course.  
But it'll continue to be difficult to compare your model with theirs as long as 
you won't explain your model.

This all started as a discussion of subjective behavior. It has drifted
into a discussion of thinking more generally -- and in particular thinking
about mathematical "objects." I see the drift as a positive development
since we all presumably agree about what things like "the square root of 2"
means. Yet the referent of "the square root of 2" is not (I still claim) a
material thing. It is (I still claim) a mental construct, and it exists (at
least and perhaps only) in the mind.

We don't all agree, I think.  The √2 is extremely hard to conceive, I think.  
Irrational numbers are naively defined in the negative, as any number that's 
not a rational number.  This indicates to me that they are _not_ mental 
constructs at all.  They are linguistic/algebraic/definitional (whatever) 
constructs for most of us.  (I'm not ruling out that people like Leibniz or 
Penrose did/do conceive them... but most people probably don't.)

And language/algebra/definitions are concrete things referred to by symbols like √ in the 
same way actual cats are referred to by symbols like "cat" (and interpreted by 
things like humans).

 I see that as important to this
discussion since Nick and Eric claim (as I understand them) that talk of
things being in the mind is meaningless.

I don't think they've intended to say that it's completely meaningless.  I do think 
they've said that whatever happens in "the mind" can be (can only be) precisely 
described through it's I/O.  This seems like the same thing as the holographic principle: 
https://en.wikipedia.org/wiki/Holographic_principle  And although it may not be true, 
it's certainly a pretty solid idea.

--
⇔ glen

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