Tom, list,

You wrote,

   In the vast majority of our deductions, we are not propelled by any
   specific urge or sensation.
   [End quote]

I wouldn't say that we are _/propelled/_ by an urge or sensation to deduction in the way that we are propelled by surprise or perplexity to an abductive inference. I'd say that we are _/drawn/_ to deduction, as to a goal. The impatience that prepares us to be so drawn is an impatience relative to the prospect of waiting for the unexpedited course of experience to tell us what the deduction could now tell us, insofar as deduction is predictive. One will not feel much of that impatience if the deduction is easy or if one doesn't seriously consider the prospect of waiting instead of deducing. Peirce speaks of abductive inference as occasioned by surprise. Yet he also holds that abductive inference shades by degrees into perceptual judgment. That's to say that surprise, or some mild or mostly potential kind of surprise, is an ongoing part of perception. I'm not trying to do psychology, but instead trying to make out logical patterns. Even if there's not an outstanding degree of surprise in it, a phenomenon is perceived that needs to be explained in abductive inference. Likewise, even if there's not an outstanding degree of suspense in it, in deduction a phenomenon is conceived whose ramifications need to be expedited to light; they're already there, in some sense, in the premisses.

You wrote,

   Deduction is something we do because of our evolved brains,
   particularly the frontal cortex.
   [End quote]

I'd say that it is something we do because our brains have been evolved to adapt themselves to deduction (and other kinds of inference). Aerodynamics constrains the evolutions of flying animals. Deduction is one of those things that constrain the evolution of intelligence.

Your example of deduction is actually rather suspenseful and thereby proves my point. One deduces that something is wrong, one very much does not want to wait to find out, in the unexpedited course of experience, that something is wrong. But what is it? In puzzlement, one guesses.

Best, Ben

On 10/29/2015 5:46 PM, Ozzie wrote:

Ben U, List ~
This is a great discussion but I wanted to interject a practical/physical element that is missing.

One issue touched on is the role of impatience or dissatisfaction as a trigger for deductive/predictive thinking. Of course, one can whip up impatience or dissatisfaction at will, but that is an artificial element if it must first be "whipped up." The more important question is how logic occurs naturally, across all of experience. As general matter, we are constantly making predictions from the imperfect deductive model of reality that each of us carries around in our heads. In the vast majority of our deductions, we are not propelled by any specific urge or sensation.

Deduction is something we do because of our evolved brains, particularly the frontal cortex. The frontal cortex is tasked with building the deductive model from birth, and works automatically like our hearts and lungs. The frontal cortex evolved from survival (and success) factors in the human environment 100,000+ years ago. Its purpose is to predict, so avoiding risks and finding food are more easily accomplished.

The evolved mechanism can of course be used for other purposes (forecasting stock prices, finding a wife, etc.), and in those cases the motive will vary along multiple dimension. Impatience and dissatisfaction cannot be ruled out, but I don't see why they would be preeminent, either. If one non-automatic motive for practicing deductive logic is predominant across the human species, I would expect to find it hard-wired into the mechanism, like the survive/thrive motive mentioned above. So there should be some sort of evolutionary story to support the view that a certain motive that propels deductive thought is universal. (If another general motive exists, I would guess it is emotional in nature.)

My second point concerns this comment posted earlier: "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."

I agree with this empirical challenge, so here is my model to show how deduction occurs in everyday experience: Suppose you walk into your darkened bedroom tonight and reach inside the door to flip on the light. While you were away, however, suppose I entered your home and raised the light switch 3" higher. Then, when you try to turn on the light tonight, you will fumble around to find the switch. And you will know, even in the dark, that something is "wrong."

This is a prediction issued from the deductive model of your world carried around in your brain. Your prediction was made without conscious effort or motive. The "surprise" of being wrong triggers your abduction that something is new, and you will update your deductive model -- though perhaps not until collecting more evidence from inductive activities. Maybe you will continue to fumble with the light switch several more times before you can consistently forecast where to place your hand to turn on the light with minimal effort.

Regards,
Tom Wyrick



On Oct 29, 2015, at 12:34 PM, Benjamin Udell <bud...@nyc.rr.com <mailto:bud...@nyc.rr.com>> 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>*
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/"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.

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