Jerry, list,

 

A good question. 

 

Looking in  <http://jfsowa.com/pubs/worlds.pdf> 
http://jfsowa.com/pubs/worlds.pdf I find:

 

Existents. This universe includes "Objects whose Being consists in their Brute 
reactions, and of, second, the Facts (reactions, events, qualities, etc.) 
concerning those Objects.... Every member of this Universe is either a Single 
Object subject, alike to the Principles of Contradiction and to that of 
Excluded Middle, or it is expressible by a proposition having such a singular 
subject."

 

I would say two are mentioned:

 

2. Objects whose Being consists in their Brute reactions

3. the Facts (reactions, events, qualities, etc.) concerning those Objects

 

I am inclined to speculate, and welcome alternatives:

1 could be subjective, so feeling

4 operative goals 

 

 

                              Possibilities                        actualities  
                                                     necessitated

1.      Subjective possibility      -             feeling                       
                        -             compelled                                 
      
2.      Objective possibility       -             Objects .. brute reactions    
        -             determined                                      
3.      Social possibility              -             Facts concerning objects  
            -             commanded                                    
4.      Interrogative mode        -             goals                           
                      -             rationally necessitated                     

 

 

Happy new year!

 

Auke

 

 

Van: Jerry LR Chandler [mailto:jerry_lr_chand...@icloud.com] 
Verzonden: maandag 1 januari 2018 0:13
Aan: John F Sowa <s...@bestweb.net>; Peirce List <peirce-l@list.iupui.edu>
Onderwerp: Re: [PEIRCE-L] Modal logic (was Nativity scenes

 

John:

 

In For a six-page review of these issues with references,

see  <http://jfsowa.com/pubs/5qelogic.pdf> http://jfsowa.com/pubs/5qelogic.pdf .

 

You wrote:

Peirce considered three universes: actualities, possibilities, and the 
necessitated. He subdivided each universe in four ways to define 12 modes. In 
the universe of possibilities, for example, he distinguished objective 
possibility (an alethic mode), subjective possibility (epistemic), social 
possibility (deontic), and an interrogative mode, which corresponds to 
scientific inquiry by hypothesis and experiment. For the necessitated, he 
called the four subdivisions the rationally necessitated, the compelled, the 
commanded, and the determined. Most of his writings on these topics were 
unpublished, and he changed his terminology from one manuscript to the next. 
Peirce admitted that a complete analysis and classification would be “a labor 
for generations of analysts, not for one” (MS 478:165).

 

It provides the subdivisions of two of the three universes. 

Can you provide the names of the four subdivisions of the universe of 
actualities?

 

Thank you 

 

Happy New Year to All!

 

Cheers

Jerry

 

 

On Dec 31, 2017, at 9:04 AM, John F Sowa < <mailto:s...@bestweb.net> 
s...@bestweb.net> wrote:

 

Historical note:  Aristotle claimed that necessity and possibility
are determined by the laws of nature.  Leibniz introduced possible
worlds with necessity as truth in all possible worlds, and
possibility as truth in at least one.

Carnap was a strict nominalist who followed Mach in claiming
that the laws of science are *nothing but* summaries of
observable data.  He even considered *truth* to be outside
the realm of "scientific" method.  But Tarski's model theory
convinced him that truth could be defined in observable terms.
Carnap later (1947) combined Leibniz and Tarski.

Hintikka introduced "model sets", which consisted of sets
of propositions that are true of the possible worlds.  He also
introduced an alternativity relation among model sets.

Kripke went back to sets of worlds and related the accessibility
relation (identical to Hintikka's alternativity) to the axioms
for modality that C. I. Lewis had introduced.

Nominalists preferred sets of worlds to sets of sets of propositions.
But Quine would not accept modality with either version.

But in 1973, Michael Dunn introduced a beautiful solution
that Peirce would love, but the nominalists would hate:
treat each possible world as a pair (facts, laws).

For a six-page review of these issues with references,
see  <http://jfsowa.com/pubs/5qelogic.pdf> http://jfsowa.com/pubs/5qelogic.pdf .

For more detail (26 pages), see  <http://jfsowa.com/pubs/worlds.pdf> 
http://jfsowa.com/pubs/worlds.pdf .

 

 


 
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