Dear Ben Novak, list,

I should add something for a broader picture.

I've talked about associating a certain impatience for a new perspective with deduction. Generally, Peirce justifies abductive inference _/in general/_ as leading more expeditiously than anything else does to new truths. The point of the whole scientific method is to speed inquiry up, in Peirce's view. So some sort of impatience has a natural place in scientific inquiry. Being ampliative, an abductive inference necessarily makes a new claim beyond the premisses. But Peirce doesn't see novelty, counter-intuitiveness, or anything like that, as justifying a given abductive inference (prior to testing). One doesn't know at that point whether it has led to a new truth. Instead, plausibility, as natural simplicity, is what justifies an abductive inference prior to testing, and the associated emotion is not that of impatience or suspense, but that of surprise, bafflement, conflict with one's assumptions or beliefs. I'm suggesting that the sense of impatience does, however, belong to the occasion of deduction, just as the new perspective does - because reaching the conclusion will lead to a true new perspective, if the premisses are true.

Best, Ben

On 10/29/2015 1:34 PM, Benjamin Udell wrote:

Dear Ben Novak, list,

As regards an explanation A's implying the surprising phenomenon C, that seems more on the level of implication than of an actual inference, which would be the mind's moving from A as an accepted premiss to conclude at least tentatively C. The mind already believes C and does not yet believe or suspect A (that happens instead in the abductive conclusion). I'm not sure that Peirce always thought that that implication had to be strictly deductive (he just says "a matter of course") but I'll have to dig into "On the Logic of Drawing History from Ancient Documents" where he goes into that relation in some detail if I recall correctly.

But let's say that it _/is/_ deductive, and that it is a deductive implication even if not an actual deduction. Sometimes one needs to do a kind of proof of concept. One thinks roughly that a certain hypothesis would entail the phenomenon, but one needs to show the entailment clearly. This proof may take mathematical form, and so on. It won't always be so comfortable and easy.

In the deduction of further implications of the hypothesis once accepted (albeit on probation), it is not always so easy to find distinctive implications unimplied by competing explanations or by accepted theory.

Anyway, generally, the challenge of a heuristically worthwhile deduction is to reach a new (or nontrivial) perspective without actually concluding in a claim new to, i.e., unentailed by, the premisses. In seeking a new perspective, one is trying to get something like information, news, even though the deduction is uninformative in the Shannon sense. It is this sense of seeking news that I'm magnifying into an (mild) emotion of impatience or suspense.

That's very easy in the case of categorical syllogisms, and the novelty is minimal there, but still observable:
All men are mortal.
Socrates is a man.
Ergo———Socrates is mortal.

Of course there are all kinds of logic problems where the solution is not so obvious.

You wrote,

    Therefore, I ask: If one assumed that "If A, then C would be a
    matter of course," and then deduced from A that one should find
    not only C, but also D and F, then when one checked and found that
    D or F were not found in the circumstances in which one found C,
    would then one have an attenuative deduction situation? Or would
    one only have the falsification of hypothesis A?

If, from A one attenuatively deduces D, and next finds D false upon observation, then from not-D one attenuatively deduces not-A; A is disproven (i.e., falsified).

I should add that I've found only one place where Peirce wrote of a new aspect as part of deduction's function. See Appendix below.

Best, Ben

Appendix: Peirce wrote in his 1905 letter draft to Mario Calderoni (CP 8.209)
http://www.commens.org/dictionary/entry/quote-letter-draft-mario-calderoni-0

    [....] The second kind of reasoning is deduction, or necessary
    reasoning. It is applicable only to an ideal state of things, or
    to a state of things in so far as it may conform to an ideal. It
    merely gives a new aspect to the premisses. [.... End quote]

In mentioning the "new aspect," Peirce was stating something that many have noticed. Technically it doesn't apply to all deduction (a deduction with the form /pq/ ergo /p/ is valid but brings no new aspect to the premisses), but just to deduction with some heuristic value (and, I'd say, among such deductions, more to attenuative deduction than to equipollential deduction).

On 10/21/2015 10:46 PM, Ben Novak wrote:

Dear Ben Udell:

Please rest assured that I did not take any of your comments as criticism.

Rather, I am very interested in the issues that you have raised, and eager to understand them. I therefore appreciate very much your explanatory emails, both in response to me and to others, as well as of all those others who have contributed to this thread.

I find your puzzlement about the "emotion belonging to occasion of (attenuative) deduction" to be fascinating, at least as you describe the problem:

    It's true, 'impatience' and 'suspense' seem strong words for the
    emotion belonging to the occasion of (attenuative) deduction. I'm
    thinking of a feeling of curiosity about the future such that one
    wishes to shorten by deduction the wait till discovery. You
    suggest the word 'dissatisfaction'. One could think of a feeling
    of dissatisfaction with the facts known or hypothesized so far,
    as if they seemed coy, or insufficient for a worthwhile
    conclusion, to which one responds by managing to deduce a
    worthwhile conclusion. Yet "dissatisfaction" as the occasion of
    deduction seems too vague. Surprise and perplexity could also be
    taken as kinds of dissatisfaction. If we take seriously Peirce's
    idea that deduction _predicts_, then the idea of at least some
    mild feeling of suspense or impatience seems to follow logically
    enough as belonging to deduction's occasion. If one has abduced a
    hypothesis about which one cares, and can't think of a deductive,
    distinctive testable prediction, one is left to feel impatient
    for time's eventual confirmation or overturning of one's
    hypothesis in the natural course of events. Note also the nice
    opposition between surprise, perplexity, etc., and suspense.
    Well, I guess there's to brood on the question some more.


Previously, I had thought that deduction, at least insofar as it was the second stage of abductive reasoning after a hypothesis was found, was the "comfortable"stage of the process, where after the irritation of the "surprising fact C is observed," comes the comfortable hypothesis that "But if A were true, C would be a matter of course."

The next step is to apply what one knows of A, again presumably comfortably, in order to trace out the known consequences of A, so that one could then switch to induction to observe whether all the known consequences are found, so that if one of the known consequences is not found, then the hypothesis must be rejected, and then one must go back to one's initial irritation to find another hypothesis.

However, I have just read your blog on "Deduction vs, Apliative; also Repletive vs Attenuative" at
http://tetrast.blogspot.com/2015/08/idara.html
where you define attenuative as *Something*(explicit or entailed)*in the premisses is not*(explicit or entailed)*in the conclusion.*

Therefore, I ask: If one assumed that "If A, then C would be a matter of course," and then deduced from A that one should find not only C, but also D and F, then when one checked and found that D or F were not found in the circumstances in which one found C, would then one have an attenuative deduction situation? Or would one only have the falsification of hypothesis A?

Ben Novak


*Ben Novak <http://bennovak.net>*
5129 Taylor Drive, Ave Maria, FL 34142
Telephones:
Magic Jack: (717) 826-5224 /*Best to call and leave messages.*/
Landline: 239-455-4200 */My brother's main phone line./*
Mobile (202) 509-2655*/I use this only on trips--and in any event messages arrive days late./*
Skype: BenNovak2

/"All art is mortal, //not merely the individual artifacts, but the arts themselves./ /One day the last portrait of Rembrandt/ /and the last bar of Mozart will have ceased to be — //though possibly a colored canvas and a sheet of notes may remain — //because the last eye and the last ear accessible to their message //will have gone." /Oswald Spengler

On Wed, Oct 21, 2015 at 4:11 PM, Benjamin Udell <bud...@nyc.rr.com <mailto:bud...@nyc.rr.com>> wrote:

    Clark, list,

    I think that the relevance of the classification of research is
    in the light shed on the logical supports among fields in the
    build-up of knowledge. Physics doesn't decide which math is
    mathematically right, which combined mathematical postulates are
    consistent and nontrivial, and so on, instead it decides which
    maths are applicable to, and illuminating in, physics. How far
    can one trace such structures of logical dependence and independence?

    Sometimes physical research leads to mathematical discovery.
    Conical refraction was simultaneously a discovery in physics and
    in mathematics. But even if it hadn't proved applicable in
    physics, it still would have been mathematically valuable. If one
    thinks that mathematics depends logically on biology or
    psychology, one will start asking mathematicians to study biology
    or psychology to really get to the bottom of their subject. While
    they might find some inspiration and deep examples of math there,
    it still seems like a more refined and polite version of sending
    the mathematicians out to work in the collective farms. I think
    that mathematicians would already be studying a lot more biology
    or psychology if they thought that such studies could support
    their mathematical findings.

    Moreover, one may suppose (as Peirce did) that the most general
    classifications will bear out logical structure, and that the
    layout of the city of research will come to reflect the
    collective structure of the subject matters like constellations
    above. One likes to see what that 'total population' of subject
    matters shapes up to look like in terms of parameters. I imagine
    that Peirce liked that. It seems philosophical enough. Peirce put
    such classification into 'Science of Review', which he also
    called 'Synthetic Philosophy'. At any rate such classification
    applies cenoscopic philosophy. If one extends parameters from a
    number of sample cases, one may even predict that there ought to
    be, or come to be, a certain field of study.

    ***

    It's true, 'impatience' and 'suspense' seem strong words for the
    emotion belonging to the occasion of (attenuative) deduction. I'm
    thinking of a feeling of curiosity about the future such that one
    wishes to shorten by deduction the wait till discovery. You
    suggest the word 'dissatisfaction'. One could think of a feeling
    of dissatisfaction with the facts known or hypothesized so far,
    as if they seemed coy, or insufficient for a worthwhile
    conclusion, to which one responds by managing to deduce a
    worthwhile conclusion. Yet "dissatisfaction" as the occasion of
    deduction seems too vague. Surprise and perplexity could also be
    taken as kinds of dissatisfaction. If we take seriously Peirce's
    idea that deduction _/predicts/_, then the idea of at least some
    mild feeling of suspense or impatience seems to follow logically
    enough as belonging to deduction's occasion. If one has abduced a
    hypothesis about which one cares, and can't think of a deductive,
    distinctive testable prediction, one is left to feel impatient
    for time's eventual confirmation or overturning of one's
    hypothesis in the natural course of events. Note also the nice
    opposition between surprise, perplexity, etc., and suspense.
    Well, I guess there's to brood on the question some more.

    Best, Ben

    On 10/21/2015 2:28 PM, Clark Goble wrote:

    On Oct 21, 2015, at 11:25 AM, Benjamin Udell wrote:

    The positivists divided sciences into formal (i.e., mathematics
    and deductive logic) and factual. I never got clear on where
    they put philosophy, I suspect they hoped to make it into a
    formal science.

    I think they differed among themselves on this, although I’m not
    an expert on the Vienna circle. (And especially not the 19th
    century positivists) It seemed that the spirit of the mid-20th
    century was to attempt to reduce philosophy to other matters.
    Either becoming clear on our semantics that would dissolve most
    problems or to reduce it to a kind of foundationalist
    epistemology of judgments with the rest being clear formalism.
    It was in most ways a rather bad dead end for philosophy IMO.
    Fortunately people drug themselves out of it while (hopefully)
    taking what was useful from both critiques.

    I’ll confess that I’ve never quite understood the drive to
    taxonomy on these matters. (This is one Peircean drive I’ve
    never been able to quite embrace) If for only the reason that
    any practical analysis seems such a mix of different taxonomies.
    I just never quite was clear what the point was. Certainly
    keeping clear what one is doing (semantics vs. ontology) and so
    forth is important. But one can become clear on the parts one is
    doing while acknowledging that the item under analysis is
    usually a mix.

    Perhaps I’m wrong in this though.

    As to my question, I think I was getting myself into some
    contortions about deduction because in some half-conscious way
    I was still introducing the idea of conflict. Now, Peirce said
    that deduction is for prediction. That by itself is enough to
    suggest that an emotion of impatience belongs to the occasion
    of deduction — an impatience with the vagueness of the future,
    or the coyness of the present in telling us it — one doesn't
    want to wait for nature to take its course, one wants to find
    out ahead of time, on the basis of accumulated data, what is
    the fate, for example of the Milky Way. (It turns out to be on
    a collision course with the Andromeda galaxy.)

    I think you’re right although I’m not sure impatience gets at
    the feeling quite right. I think dissatisfaction is perhaps more
    apt since impatience implies a time component that’s not always
    present.


-----------------------------
PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L 
to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To 
UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the 
line "UNSubscribe PEIRCE-L" in the BODY of the message. More at 
http://www.cspeirce.com/peirce-l/peirce-l.htm .




Reply via email to