Interesting what you said about modal and category theory.  I don't
know much about category theory and I'd be interested to know how you
would define it.  So: what is category theory?   As far as I can make
out it's a highly advanced branch of algebra concerned with the
classification of mathematical structures.  Very interesting that you
put Category Theory and Modal logic together!

I feel the whole area of non-classical logic is underdeveloped.  Things
like modal logic, paraconsistent logic, fuzzy logic, possibility theory
- perhaps these logics are actually the proper logic for dealing with
'reflection' and consciousness?

I think that conscious experience (Qualia) is ultimately knowledge
reflecting on itself, or, to be more precise, I think Qualia are
*mathematics modelling itself* - a sort of 'internal model of
mathematics'.  To be even more precise, I think Qualia are symbols
representing *ontological categories*.  Could Category theory be
exactly the type of math we need to understand this?  How does category
theory fit in with the other non-classical logics mentioned above?

We're closing in Bruno.  We're closing in on the answers.  I feel I
vaguely understand the general principles behind everything now and
it's just a matter of 'working out the math'.  If course, all the devil
is in 'working out the math' , and it could take decades.  But I feel
there's hope now.  Real hope for answers in our lifetime.  It might
just be that one of us will break through and then all the powers of
the universe will be humanities to hold...

Pink Floyd
'High Hopes'
by David Gilmour / Polly Samson

Beyond the horizon of the place we lived when we were young
In a world of magnets and miracles
Our thoughts strayed constantly and without boundary
The ringing of the division bell had begun

Along the Long Road and on down the Causeway
Do they still meet there by the Cut

There was a ragged band that followed in our footsteps
Running before times took our dreams away
Leaving the myriad small creatures trying to tie us to the ground
To a life consumed by slow decay

The grass was greener
The light was brighter
When friends surrounded
The nights of wonder

Looking beyond the embers of bridges glowing behind us
To a glimpse of how green it was on the other side
Steps taken forwards but sleepwalking back again
Dragged by the force of some inner tide
At a higher altitude with flag unfurled
We reached the dizzy heights of that dreamed of world

Encumbered forever by desire and ambition
There's a hunger still unsatisfied
Our weary eyes still stray to the horizon
Though down this road we've been so many times

The grass was greener
The light was brighter
The taste was sweeter
The nights of wonder
With friends surrounded
The dawn mist glowing
The water flowing
The endless river

Forever and ever

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