John,
I wish to draw your attention to this part in you mail:
JFS: ... a theory expressed in discrete signs...
This statement presupposes that even signs acting as symbols, are
discrete. Written statements are put down in the form of discrete parts.
But it does not follow that the proposition the statements attept to
convey, consist of such discrete parts.
Propositions convey meaning. A theory attempts to convey meaning. Even
any mathemathical formula (to my mind) attepts to convey meaning. - Just
remember Wittgenstein (in the beginning of Philosophical
Investigations)stating something like this: Does the meaning of "Give me
a broom" get any clearer if I say: Give me a stick with (well something,
you know, hairy) attached to it".
As I have understood your messages, you agree with the general idea. -
Or have I misunderstood you?
This all comes down to the question how do the two formulations of the
pragmatic maxim relate to each other.
Carl-Otto Apel ends his most interesting book on CSP by saying that if
he were to begin his work all over again, he would choose to start with
the question of meaning at the outset. - Well, he did not.
To my mind, Apel misinterprets CSP in many respects. But he succeeds in
somethings mainstream Peirceans concistently and continuously seem to
miss. Even the best of them.
The most valuable insights by Apel have to do with connecting the
Peircean view with the Continental tradition stemming from hermeneutics.
Therein lie his mistakes, too.
Perhaps I should not just but in a discussion without having been
following it as I should. - But perhaps this may be of some interest.
So hopes Kirsti
John F Sowa kirjoitti 16.3.2017 20:49:
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
-----------------------------
PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L
to this message. PEIRCE-L posts should go to [email protected] . To
UNSUBSCRIBE, send a message not to PEIRCE-L but to [email protected] with the
line "UNSubscribe PEIRCE-L" in the BODY of the message. More at
http://www.cspeirce.com/peirce-l/peirce-l.htm .
