Steven,
There are the sounds of things in your overture that resonate with many themes
of long-standing interest to me -- the possibility of integrating dynamic and
symbolic aspects of intelligent systems, the logical analogues of differential
manifolds and the triadic relations that anchor their most general definitions,
the potential of geometric, graph-theoretic, or topological syntaxes for logic,
just to name a few -- but other notes strike more dissonant chords in my mind's
ear, for instance, the apparent confounding of descriptive sciences, this time
biology, biophysics, and physics, with the normative science of logic. However
much descriptive sciences and normative sciences may bear on one another, their
characters and objectives remain distinct. I don't foresee that biologism will
fare any better than psychologism when it comes to supplying a basis for logic.
But maybe that is not what you're saying?
Regards,
Jon
cc: Arisbe, Inquiry, Peirce Lists
> Manifolds Of Sense And Interpretation, Logic And Computation As Biophysics
> (or why logicians are rightly theoretical biophysicists too)
>
> In 1904 Charles Sanders Peirce (1839-1914) objected to the “Russellization” of
> logic on the basis that logical expressions consisting of dyadic relations are
> not reducible to the interpretant manifold, to the manifest non-local quality
> of our ongoing experience in bringing the distribution and variety of sense to
> actionable unity, observing that beyond the immediate composition of cause and
> effect statements this action is necessarily deferred to the logician.
Mechanical
> inference from dyadic relations neglects something immediate and deferred
that is
> actionable.
>
> The illusive mechanics that Peirce suggests is by definition the mechanics of
> biophysics, describing how sense is characterized by the structures involved
> and how the biophysical structure is moved from apprehension to action. I will
> argue that this mechanics is fundamental to the inquiry of logic, determining
> the natural laws of logic, and that it is time for logicians to return to
these
> foundational issues as theoretical biophysics, a field in which a wealth of
new
> data promises to inform us.
>
> I present the state of my own inquiry: a new logic and model of computation
> based upon the function of flexible closed manifolds describing how sense is
> characterized, symbolic processing, and covariant response potentials, the
analogs
> of biophysical cells and multicellular membranes and their associated
mechanics.
> The mathematization of this approach formally requires a unification of logic
and
> geometry. I will present steps toward the specification of such a logic and
its
> geometric implementation in dynamic structure designed to enable the
explanation
> and reproduction of biophysical function. And I will speak to the
predictions of
> the theory concerning the mechanisms that remain to be discovered.
>
> "Manifolds of sense and interpretation, logic and computation as biophysics"
by
> Steven Ericsson-Zenith is the abstract for a presentation at Stanford
University
> Mathematical Logic Seminar on May 8th, 2012. 4:15pm at Math corner, room
380-X.
--
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