Nick, the text renders.

You use words in ways that I cannot parse.  Some of them seem very poetic, 
suggesting that your intended meaning is different in its whole cast from one I 
could try for.

FWIW: as I have heard these discussions over the years, to the extent that 
there is a productive analogy, I would say (unapologetically using my words, 
and not trying to quote his) that Peirce’s claimed relation between states of 
knowledge and truth (meaning, some fully-faithful representation of “what is 
the case”) is analogous to the relation of sample estimators in statistics to 
the quantity they are constructed to estimate.  

We don’t have any ontological problems understanding sample estimators and the 
quantities estimated, as both have status in the ordinary world of empirical 
things.  In our ontology, they are peers in some sense, but they clearly play 
different roles and stand for different concepts.

When we come, however, to “states of knowledge” and “truth” as “what will bear 
out in the long run”, in addition to the fact that we must study the roles of 
these tokens in our thought and discourse, if we want to get at the concepts 
expressive of their nature, we also have a hideously more complicated structure 
to categorize, than mere sample estimators and the corresponding “actual” 
values they are constructed to estimate.  For sample estimation, in some sense, 
we know that the representation for the estimator and the estimated is the 
same, and that they are both numbers in some number system.  If we wish to 
discuss states of knowledge and truth, everything is up for grabs: every 
convention for a word’s denotation and all the rules for its use in a language 
that confer parts of its meaning.  All the conventions for procedures of 
observation and guided experience.  All the formal or informal modes of 
discourse in which we organize our intersubjective experience pools and build 
something from them.  All of that is allowed to “fluctuate”, as we would say in 
statistics of sample estimators.  The representation scheme itself, and our 
capacities to perceive through it, are all things we seek to bring into some 
convergence toward a “faithful representation” of “what is the case”.

Speaking or thinking in an orderly way about that seems to have many technical 
as well as modal aspects.

Best, 

Eric


> On Jan 7, 2023, at 5:05 PM, Nicholas Thompson <[email protected]> wrote:
> 
> The relation between the believed in and the True is the relation between a 
> limited function and its limit. {a vector, and the thing toward which the 
> vector points?]   Ultimately  the observations that the function models 
> determine the limit, but the limit is not determined by any particular  
> observation or group of observations.  Peirce believes that The World -- if, 
> in fact, it makes any sense to speak of a World independent of the human 
> experience -- is essentially random and, therefore,  that contingencies among 
> experiences that lead to valid expectations are rare.  The apparition of 
> order that we experience is due to the fact that such predictive 
> contingencies--rare as they may be-- are extraordinarily useful to organisms 
> and so organisms are conditioned to attend  to them.  Random events are 
> beyond experience.  Order is what can be experienced.     
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