Succinct, clear and beautifully outlined. Thanks, Gary F.

Edwina
  ----- Original Message ----- 
  From: Gary Fuhrman 
  To: biosemiot...@lists.ut.ee ; 'Peirce List' 
  Sent: Sunday, September 14, 2014 12:38 PM
  Subject: [PEIRCE-L] RE: Natural Propositions, Chapter 2


  Lists,

   

  I'd like to introduce here a couple of comments on Chapter 2 of NP 
(specifically, on the beginning of 2.5), but I'd also like to note that much of 
the valuable conversation on these issues has been taking place under other 
subject lines, and this post is meant to reflect on that previous conversation 
as well.

   

  Here are the first three sentences (also the first 3 paragraphs!) of NP 2.5:

   

  NP (p.44): Both Peirce's and Hussel's antipsychologicist semiotics are based 
on the observation that even if simple, singular signs exist, most interesting 
signs, beyond a certain degree of complexity, are tokens of types, and many of 
these, in turn, refer to general objects (Peirce) or ideal objects (Husserl). 

  A very important rule here is the Frege-Peircean idea that the semiotic 
access to generality is made possible by general signs being unsaturated and 
schematic: the predicate function "_ is blue", for instance, is general 1) 
because referring possibly to all things blue, 2) because of the generality of 
the predicate blue, having a schematic granularity allowing for a continuum of 
different particular blue shades.[i]

  This generality is what makes it possible for the sign to be used with 
identical-general-meaning, at the same time as the individual users are free to 
adorn their use with a richness of individual mental imagery and associations 
(like Ingardenian filling-in during literary reading) without this imagery in 
any way constituting meaning-sameness of meaning in language being granted by 
successful intersubjective communication, reference, and action.

   

  GF: The first sentence above explains the subtitle of this section, which is 
"The Indispensability of the Generality of Signs". But it is not only the signs 
employed by science which must have generality, but also the objects of those 
signs. Science can say nothing about a unique phenomenon occurring only at a 
single point in spacetime, unless it can recognize the event as belonging to a 
type of occurrence (in which case it is not unique!). 

   

  At this point the old debate between nominalism and realism rears its head. 
Peirce frames his usage of the word "thought" this way: "one must not take a 
nominalistic view of Thought as if it were something that a man had in his 
consciousness. Consciousness may mean any one of the three categories. But if 
it is to mean Thought it is more without us than within. It is we that are in 
it, rather than it in any of us" (letter to James, Nov. 1902). 

   

  Clearly NP follows Peirce in taking a realistic view of "thought"; and from 
that point of view, Howard's claim "that logical and mathematical operations 
can be observed existing as activites of human brains and brains of lower 
animals" is quite unfounded. What scientists can empirically observe (to a very 
limited extent!) is the activity going on in brains. They can then hypothesize 
about how brains manage to carry out "logical and mathematical operations", but 
that is not direct observation of anything "existing", it's an interpretation 
based on the assumption that the brain activity is correlated with a process 
which we believe to be occurring; and that belief is not based on the 
observation of brain activity but on inference from what the 'owner' of that 
brain is doing or saying. Realists say that the type of operation (i.e. the 
"Thought") is just as real as the empirically observed brain events. Not all 
scientists say that, but they all act as if they believed it - otherwise no 
type of thought process would be intelligible, or could be an object of 
scientific study.

   

  The second sentence/pargraph quoted from NP above adds to this realism the 
crucial point that "semiotic access to generality is made possible by general 
signs being unsaturated and schematic". The term "unsaturated" here can be 
taken as a metaphor from chemistry, related to Peirce's concept of logical 
"valency", referring to the 'blank(s)' in a predicate which have not yet been 
filled by subject(s), where the number of blanks is an aspect of the schema or 
form of the predicate. This is a crucial point in Chapter 3, which we'll be 
starting in another week, so I'll just observe here that in NP it links the 
"indispensability of generality" with Peirce's doctrine of the Dicisign.

   

  The third sentence/pargraph quoted above implicitly relates these issues to 
Peircean pragmaticism, by observing that "sameness of meaning in language" is 
"granted by successful intersubjective communication, reference, and action." 
As I hope to have showed above, this is just as true for psychologists as it is 
for logicians. Science is a communal practice - and that's why it can't be done 
by individual brains studying singular phenomena - not unless we assume general 
types of phenomena to be as real as their existing tokens, rather than 
imaginary or "social constructions".

   

  gary f.

   

  } The first principle is that you must not fool yourself -- and you are the 
easiest person to fool. [Richard P. Feynman] {

  www.gnusystems.ca/gnoxic.htm }{ gnoxics

   

   

  From: Frederik Stjernfelt [mailto:stj...@hum.ku.dk] 
  Sent: 14-Sep-14 7:29 AM
  To: biosemiot...@lists.ut.ee; Peirce List
  Subject: [biosemiotics:6806] Re: Natural Propositions

   

  Dear Howard, lists -  

  But then neither is the opposite . 

  Best

  F

   

  Den 14/09/2014 kl. 03.51 skrev Howard Pattee <hpat...@roadrunner.com>

  :





  At 04:35 PM 9/13/2014, Frederik wrote:



  Dear Stan, lists -  
  Good. I tend to side with Peirce here - though I would change the wording 
slightly: logic exising "outside" of human thought, meaning logic existing 
independently of human thought (which is why it may be implemented, to some 
degree, outside of human thought) .


  HP: Scientists would say that logical and mathematical operations can be 
observed existing as activites of human brains and brains of lower animals. 
Whether they exist independently in inanimate nature appears to be merely an 
irrefutable opinion, based simply on how you choose to define nature andlogic. 
That is why for millennia there has been continual undecidable controversy over 
the foundation of logic and mathematics.
  Siding with Peirce or taking a vote of opinions is not persuasive.

  Howard 

   



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