Thanks, Gary, this is a very helpful summary.

Jon

cc: Arisbe, Inquiry, Peirce List

Gary Richmond wrote:
Cathy, Stephen, list,

Cathy, you wrote: "I don't see how one might interpret induction as
secondness though.Though a *misplaced* induction may well lead to the
secondness of surprise due to error."

And yet that's exactly how Peirce saw it for most of his career (with
the brief lapse mentioned in my earlier  post and commented on by him
in the 1903 Harvard Lectures on Pragmatism). There he wrote:

"Abduction, or the suggestion of an explanatory theory, is inference
through an Icon, and is thus connected with Firstness; Induction, or
trying how things will act, is inference through an Index, and is thus
connected with Secondness; Deduction, or recognition of the relations
of general ideas, is inference through a Symbol, and is thus connected
with Thirdness. . . [My] connection of Abduction with Firstness,
Induction with Secondness, and Deduction with Thirdness was confirmed
by my finding no essential subdivisions of Abduction; that Inducion
split, at once, into the Sampling of Collections, and the Sampling of
Qualities. . . " (*Pragmatism as a Principle and Method of Right
Thinking: The 1903 Harvard Lectures on Pragmatism*, Turrisi, ed.
276-7).

Shortly after this he comments on his brief period of "confusion" in the matter.

"[In] the book called *Studies in Logic by Members of the Johns
Hopkins University*, while I stated the rationale of induction pretty
well, I confused Abduction with the Second kind of Induction, that is
the induction of qualities. Subsequently, writing in the seventh
volume of the Monist, sensible of the error of that book but not quite
understanding in what it consisted I stated the rationale of Induction
in a manner more suitable to Abduction, and still later in lectures
here in Cambridge I represented Induction to be connected with the
third category and Deduction with the Second" [op. cit, 277].

[You can also read the entire deleted section by googling "At the time
I first published this division of inference" and 'Peirce'.]

So, as he sees he, for those few years Peirce was "confused" about
these categorial associations. In that sensePeirce is certainly at
least partially at fault in creating a confusion in the minds of many
a thinker about the categorial associations of the three inference
patterns. Still, he continues in that section by stating:

"At present [that is, in 1903] I am somewhat disposed to revert to my
original opinion" yet adds that he "will leave the question
undecided." Still, after 1903 he never associates deduction with
anything but thirdness,  nor induction with anything but 2ns.

I myself have never been able to think of deduction as anything but
thirdness, nor induction as anything but 2ns, and I think that I
mainly have stuck to that way of thinking because when, in
methodeutic, Peirce employs the three categories together in
consideration of a "complete inquiry"--as he does, for example, very
late in life in *The Neglected Argument for the Reality of God* in the
section the CP editors titled "The Three Stages of Inquiry" [CP 6.468
- 6.473; also, EP 2:440 - 442]--he *explicitly* associates abduction
(here, 'retroduction' of the hypothesis) with 1ns, deduction (of the
retroduction's implications for the purposes of devising tests of it)
with 3ns, and induction (as the inductive testing once devised) with
2ns.

But again, as these particular categorial associations apparently
proved confusing  even for Peirce, constituting one of the very few
tricategorial matters in which he changed his mind (and, then, back
again!), I too will at least try to leave the question undecided (for
now).

Best,

Gary

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