Carnap never understood why Popper considered falsification competitive to 
verification and took the position that the two are entirely compatible.

I think Peter has stated it well, though I am now curious about the reference 
to Imre Lakatos.

With respect,
Steven


On Aug 6, 2011, at 2:56 PM, Skagestad, Peter wrote:

> Jerry,
>  
> I am not sure I know how  to expand on my reasoning. Let me just add that the 
> logic of confirmation, as formulated e.g. by Carnap or Hempel, was in its 
> time the chief rival to Popper's falsificationism, and Popper explicitly 
> formulated his views in opposition to this rival program. That is why I 
> brought it up. I am absolutely no expert on the subject, but at least in 
> Hempel's formulation, the logic of confirmation certainly presupposes 
> predicate logic. See Hempel, 'Studies in the Logic of Confirmation' (1945). 
> Personally, I consider myself a falsificationist - although I also find Imre 
> Lakatos' modifications of the program mostly convincing - and thus I do not 
> believe the logic of confirmation has much hope of success. Again, I am no 
> expert; I have no deep knowledge of Carnap's work, and have no idea what work 
> has been done within this program in recent decades.
>  
> Peter
> From: Jerry LR Chandler [[email protected]]
> Sent: Saturday, August 06, 2011 2:11 PM
> To: Skagestad, Peter; [email protected]
> Subject: Re: [peirce-l] Slow Read: "Teleology and the Autonomy of the 
> Semiosis Process"
> 
> Peter, Gary(s), Ben, List:
> 
> On Aug 6, 2011, at 1:32 PM, Skagestad, Peter wrote:
> 
>> Ben, list,
>>  
>> My (no doubt fallible) belief is that falsificationism about science and 
>> fallibilism about perceptual judgements are logically independent of each 
>> other. To see the independence of the former of the latter, suppose 
>> perceptual judgements were infallible: I infallibly know that I am looking 
>> at a raven and I infallibly know what color it is. I still cannot infer the 
>> universal statement 'All ravens are black' from any number of observations 
>> of black ravens; the most I can say is that I have, so far, failed to 
>> falsify it, although it may falsified by my observation of the next raven. 
>> So we could still have falsificationism without fallibilism about perceptual 
>> judgements.
>>  
>> What about the other way around? Suppose there were a "logic of 
>> confirmation," whereby scientific hypotheses are rendered increasingly 
>> probable as we observe more confirming instances. Whether this would work or 
>> not seems to me independent of whether our observations are fallible or 
>> infallible. But fallibilism about perceptual judgements does of course imply 
>> the fallibility of science - it rules out any conclusive proof of scientific 
>> hypotheses.
>>  
>> I hope this makes sense.
>>  
>> Peter
>>  
>>  
> 
> Your perspective is quite interesting. 
> 
> May I ask you to expand on your reasoning?
> 
> I have long been interested in the philosophical distinction between symbols 
> used internally and symbols used externally.
> Many mathematicians, followers of Hilbert, such as the Peircean B. Rotman, 
> believe that mathematics is purely an internal "sporting" use of signs.
> Others believe that mathematics is intuitive, followers of Brouwer, often 
> using the concept of time as the source of order of signs.
> 
> What would you suppose about a "logic of confirmation"? 
> Would such a logic necessarily take as a presupposition predicate logic?
> Could a Peircean "diagrammatic logic", necessarily signified on a "sheet of 
> assertion" serve as a general inductive tool for a "logic of confirmation"? 
> 
> Cheers
> 
> Jerry 
> 
> 
> 
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