List:

Does anyone have the citations for the two statements with respect to indices 
and mental acts as "forms" of  inferences?  I am curious about the textual 
origins in view of the following feelings.

The first suggests a role for the connection between sin-sign and index as a 
consequence of the antecedent analysis of the sin-sign.

The latter is stunning from the perspective that inferences require a 
conclusion (!) and for me, at least, passing thoughts float by without apparent 
motivation and often without a hint of closure, just a gentle fade.

Cheers

Jerry


On Nov 7, 2015, at 1:53 PM, Franklin Ransom wrote:

> Ben, list,
> 
> You wrote:
> 
> If the sample is an index, as he later said, of the whole, what sort of 
> actual index indicates a hypothetical, potential whole?
> 
> Yes, that is a good point. He must have changed his views, but I'm not sure 
> exactly how. I just re-read the paragraph in Kaina Stoicheia where he 
> introduces depth, breadth, and information, but there is not much there, and 
> certainly nothing about how they relate to inference. He clearly still has 
> the basic ideas there so many decades later, but how to apply them in light 
> of changes to his views in semiotics?
> 
> If all mental action has the form of inference, then they all must be related 
> to inferences in some way.
> 
> Yes, exactly my thought.
> 
> Franklin
> 
> On Sat, Nov 7, 2015 at 12:03 PM, Benjamin Udell <[email protected]> wrote:
> Franklin, list,
> Thanks for pointing out those subsequent passages and unraveling them for us. 
> It's been a while since I read "Upon Logical Comprehension and Extension" 
> from beginning to end.
> When Peirce previously in the same paper defined induction as increasing the 
> breadth without changing the depth, the idea seem to be that of extending the 
> character to a larger population which is asserted to exist, i.e., 
> induction's conclusion asserts an actual increase of breadth without 
> asserting a change of depth. But he comes to say of induction:
> [....] On the other hand, P is not yet found to apply to anything but S', 
> S'', S''', and Siv, but only to         apply to whatever else may hereafter 
> be found to be contained under M. The induction itself does not make known 
> any such thing. [....]
> [End quote]
> It is true that the induction does not _make known_ the truth of its 
> conclusion's claims, but in this picture the induction does not even _assert_ 
> the existence of a larger, encompassing population, but instead leaves it 
> conditional and hypothetical, so the breadth increase is potential, not 
> assertedly actual. Moreover the conclusion isn't usually framed like 
> "whatever else may hereafter," it just says "Any M is P" and this doesn't 
> even entail that there are S's found to be M & P. This is a question of what 
> is the fairest way to frame an inference. You make a good point about Peirce 
> not bringing iconicity and indexicality much into the account in that paper. 
> If the sample is an index, as he later said, of the whole, what sort of 
> actual index indicates a hypothetical, potential whole?
> 
> You wrote,
> It is a bit unclear to me why some of the changes in information didn't seem 
> to correspond to one of the three inferences [....]
> [End quote]
> I had that thought recently too. I once tried to make a table of all the 
> changes in information and I found that the potential size of the table was 
> rather larger than I expected. If all mental action has the form of 
> inference, then they all must be related to inferences in some way.
> Best, Ben
> 
> 
> 
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