Dear Clark, John, list:


If you’re talking about convergence to an ultimate end, you should be clear
on what part esthetics plays and the thing that is the object of perceptual
judgment.  If that is not specified, how will you decide whether the limit
is local from global?



As to whether Peirce is committed to a “view of convergence in the
scientific realism of that era”, it would help if you clear up that
statement to mean whether he believed others believed that view or whether
he claimed that view himself.



For, there are many places where interpreters take what he says regarding
an “aim should be immutable under all circumstances” quite literally.



Best,
Jerry Rhee

On Thu, Mar 16, 2017 at 1:49 PM, John F Sowa <[email protected]> wrote:

> On 3/16/2017 11:20 AM, Clark Goble wrote:
>
>> The way I usually think about it is that there are many continuous
>> equations such that the limit as x → ∞ y → 0.
>>
>
> But if we use some language with a finite alphabet and limit
> the theories to a finite specification, there are at most
> a countable number of theories.
>
> But there are two ways for a theory expressed in discrete signs
> to describe a continuous aspect of the world:
>
>  1. Let the variables range over a continuous domain.
>
>  2. Let the symbols (predicates) have a continuous mapping
>     to the world.  For example, 'circle' could describe any
>     of a continuous range of circular aspects of the world.
>
> John
>
>
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