Showing posts with label Susan Haack. Show all posts
Showing posts with label Susan Haack. Show all posts

Sunday, June 17, 2018

Ex-Word of the Day: Toplinear


In her diligent book of epistemology, Evidence and Inquiry (1993), Susan Haack steers her bark between the twin cliffs of Foundationalism and Coherentism, before christening her own proposed juste milieu with the,  alas, ungainly name of :

Foundherentism

There was something comical about the coinage which I could not quite put my finger on.

Then this morning, happening to dip into one of Serge Lang’s textbooks on Differential Geometry, discussing topological vector spaces[**], I re-encountered his own stillborn coinage:

“… a Toplinear isomorphism, referring to the topology  and the linearity”

It is gauche in much the same way.

Neither term has much caught on, outside the readership-circle of its coiner.


[**  A TVS is a uniform structure on a linear space.]

Sunday, February 27, 2011

Theodicy


Susan Haack, Evidence and Inquiry (1993), p. 219, meaning to challenge Descartes:

Why did God not create us with unlimited powers of reasoning … ?  And his answer:  that God’s purposes are beyond human comprehension, is completely unsatisfying.

Really… completely unsatisfying?  Completely unsatisfying as in, “How icky of Him, I demand my lollipop now” (“Why did not God create us with wings?  It would be such a lark”); or as in, “Your statement is false”?  And if the latter:  False in the usual sense of the term, so that “God’s purposes are within human comprehension” is accordingly true?  Or false in the devious Russellian present-king-of-France manner (more modernly termed, not straightforwardly false, but without truth value, or suffering from presupposition-failure), so that you will object to anything predicated or denied of God, because you don’t believe in Him in the first place, but refuse to just come out and say so?

Throughout her epistemological magnum opus, Haack plies some keen reasoning;  but confronted with God, she falls apart.   Indeed, we can with some confidence state, that if God exists, as anything like the being that is envisioned in the Abrahamic tradition, then yes indeed His purposes are beyond human comprehension:  of course they are.   Heck, most of the time, a man’s wife’s purposes seem beyond human comprehensions;  quantum mechanics is beyond human comprehension (take it from the experts who know it best); and until recently, algebraic geometry was beyond human comprehension -- Aristotle would have thrown up his hands.

Deny Him if you will (for He leaves you entirely free to do so);  but do not pretend that Descartes was here being irrational.

 
~
~  Posthumous Endorsement ~
"If I were alive today, and in the mood for a mystery,
this is what I'd be reading: "
(Je suis René Descartes, and I approved this message.)
~         ~
.

Wednesday, February 23, 2011

A Taxonomy of Nominalism


Among my favorite books in the field of logic is Susan Haack, Philosophy of Logics (1978).  The plural in the title might be surprising -- isn’t Logic simply the formalization of the way things are?  -- but it is by no means a typo.  She distinguishes no fewer than five families of logics:  traditional logic (i.e., the Aristotelian syllogistic), classical logic (what you were  taught in college, unless you spent all your time on panty raids), extended logics, deviant logics (no no, it’s not what you imagine), and inductive logics.  These each come in various flavors:  thus, under “extended logics”, we understand:

            modal logics
            tense logics
            deontic logics
            epistemic logics
            preference logics
            imperative logics
            erotetic logics  (no, that’s not what you imagine either)

Note the plurals:  These each have subflavors too.

Are we having fun yet?  We should be.  William James remarks (The Principles of Psychology (1890), vol. II)  that humanity seems to have a kind of taxonomic instinct, reveling in setting up systems of pigeon-holes:  rather like the sex instinct but even better because you don’t get AIDS.  Surely you remember the delight you felt as a ten-year-old, putting your return address on the envelope of a letter to a friend (well, that was before e-mail;  you’ll remember if you are over about eighty years old):

Timmy Thompson
322 Mulberry Street
Blissville
Indiana
The Midwest
America
The Western Hemisphere
The Planet Earth
The Solar System
The Milky Way …

Nowadays it’s even better, since you can keep going all the way up to the Multiverse.  (Only, no-one writes letters anymore, and there are no more ten-year-olds.)

In her later work, Evidence and Inquiry (1993), in the course of arriving at her new style of epistemology --- “double-aspect foundherentism”, no less -- Susan Haack coins or refines nomenclature for a great many epistemological schools and subschools, and even for individual varieties of ideas, labeling these with such tags as 
            FD1 superscript-E subscript-EXT
and
            FD2 superscript-P

rather reminiscent of the old joke about the comedy club, for whom the jokes were so familiar they all had numbers.  (Punchline:  “933.”  Nobody laughs.  Why not? “He didn’t tell it right.”)


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Relief for beleaguered Nook lovers!
We now return you to your regularly scheduled essay.

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In this spirit, we shall here embark upon an ambitious project of anatomizing Nominalism.  (Funded by USAF grant #586-77-E8-99999.)


(1)  On Nominalism

There are a great many individual theories beneath the big tent of Nominalism.  Since, however, they all suck, these need not detain us.

Much more rewarding is the following.


(2)  On Anti-Nominalism

There are several venerable schools in this vein.  Most familiar is Classical Anti-Nominalism, also known as Anti-Nominalism simpliciter, whose central thesis reads as follows:

(C.A-N.)  Nominalists just suck.  End of story.

Then there is Aetiological Anti-Nominalism, characterized by the following insight:

(Ae. A-N.) Nominalists were all dropped on their heads as infants;  a fact that explains, while it does not excuse, their behavior.

And lastly Pediculotic Anti-Nominalism, which maintains:

(P. A-N.)  Nominalists can best be understood as a form of body lice.

This popular view breaks into three schools, according as the insects in question be specifically head lice (Pediculosis capitis), lice infesting the armpit hair, or some even naughtier lice of which decorum forbids mention.

(This will all be on your mid-term.)

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We now return you to your regularly scheduled essay.

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[update October 2011]
I just stumbled upon this spicily-titled item:
Scientific Realism and Mathematical Nominalism:  A Marriage Made in Hell


Here we learn that “Nominalists hold that there are no numbers”;  this involves them in certain epistemological difficulties.   But en revanche (ô doulce revanche), numbers hold that there are no nominalists.  This  involves them in no difficulties at all.


~     ~     ~

Nevertheless, in that broad spirit of tolerance so characteristic of Realists, we here list those instances in which a Nominalist did (against all odds) manage to come up with something witty or interesting.  We believe this list to be complete.

Unum, verum, bonum -- the old favorites deserve their celebrity.  There is something odd about each of them.    Theoretical theology is a form of onomatolatry.
-- J. L. Austin, “Truth” (1950)
 

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[Update 2016]   Well okay -- one synonym from a linguistically-inclined Nominalist in his treatise about ambiguity and vagueness:

Applied to semantical topics, the nominalistic attitude here outlined  may be labeled  inscriptionalism.  The label implies no theoretical contrast with nominalism;  it simply calls attention to the favored status of tokens, and the exclusion of types, classes, meanings, forms, and attributes  from our semantic apparatus.
-- Israel Scheffler, Beyond the Letter (1979), p. 8

Cf. Realism, in a math context, being called Platonism.

Sunday, February 20, 2011

Philosophy Not Worth Bothering With

[a.k.a., She Reads it so We Don't Have To.]



Among the less-well-known philosophers whom I have especially enjoyed, is Susan Haack, the author of a bracing survey, Philosophy of Logics (1978).   Recently I have been slowly working through her principle work on epistemology:  Evidence and Inquiry (1993).  “Working through” is the mot juste, for it is sometimes tough slogging.   She carefully distinguishes more sub-subcategories of philosophical stances than there are practicing analytical philosophers who might embody them, many of these labeled with Peirce-style neologisms (“foundherentism”) or with truly inscrutable homonyms like “science” and “SCIENCE” to subindex subtle distinctions in the senses of various terms.  Leading, in the worst instances, to passages like

    FOUNDATIONALISM does not imply foundationalism, nor foundationalism foundationalism. (*)

(Imagine trying to read that aloud!  For the capitals, I supposed one could shout, or flap one's arms like a chicken;  for the italics, tilt your head to the right ...)
Still, she’s good company, with a very level head.

As the book goes on, though, and as she gets past such reliable stalwarts of earlier years as C.I. Lewis, Hans Reichenbach, and Quine, she feels herself obliged to engage with an increasingly creepy set of characters, who apparently infest the Academy these days.  She diligently expounds their positions -- truly an unpleasant task;  but then, she gets paid for it.

Thus, on page 149, she conscientiously canvasses the arguments put forward by one Goldman, and combatted by one Cohen:

In Epistemology and Cognition, he faces the objection articulated by Cohen, that reliabilism yields counter-intuitive consequences under the hypothesis of an evil demon who brings it about that our beliefs are comprehensibly false.  If there is such an evil demon, reliabilism implies that we have no justified beliefs.

Oh does it now.
Look folks -- if the universe is ruled by an evil demon, --  then we’re f*cked.   Just --  f*cked.   No epistemology, no morality, game over.  Pawn your typewriter, and join the party, looting and raping till the sun goes down.

These essays do not aim at surpassing simple theism, since that is all that Cantorian Realism has to contribute along those lines -- no implications for morality, really, that I can see.   Sticking to the intellectual arena here, not from first principles, but the way Babe Ruth stuck to baseball.  It’s what I know.   But faced with such sciamachy between hand-puppets as the epic battle of Goldman vs. Cohen…. we wish to posit one further axiom, merely for intellectual hygiene:

=>  Our cosmos is not ruled by any demon.
=>  It is ruled by God, and God is good.  Or, as Einstein put it (in a strictly philosophical/scientific context),  “Boshaft ist er nicht”.

This is not  by any means  to deny the existence of demons, nor of their Dark Prince,  who has his fat thumb in many a soup-bowl.   But those sterile beings did not lay out the Creation, nor do they rule it now.  To find them, you have to dive head-first down the moral/philosophical toilet bowl.


Footnote:
If that seems more an Alexandrian thwack at the Gordian knot, than a genuine untying of it, it is still preferable to the usual alternatives.  Haack mentions two of them (p. 215):  one, that the Demon Hypothesis is “covertly unintelligible”; two, that “since the deception it hypothesizes would be absolutely undetectable, it is, for us, epistemically absolutely idle”.  Now, first, the Demonic Hypothesis (as I shall re-name it, since it is not merely about demons, but is itself demonic) is perfectly intelligible;  second, what is idle is to assume that the deception need be “absolutely” undetectable.   It would only have to be largely undetectable, to reduce human life to a travesty;  in the movie “Matrix”, eventually a doughty band actually does detect it.  
But in fact, we are not in this existential pickle, since God is good -- thank God.


*
Oh dear… it gets worse.
Reading on a bit, we come to this:
in Evidence and Inquiry (1993), p. 153:

By the time of Epistemology and Cognition, Goldman is making much more startling claims.  The division of labour now envisaged between philosophical analysis  and empirical psychology  assigns to the former  only the task of supplying a schematic account such as Goldman’s ‘criterion schema’ for the rightness of J-rules;  according to Goldman, it is for psychology to supply a substantive theory of justification, to adjudicate between foundationalism and coherentism, to determine whether there is such a thing as a priori knowledge…

Folks … psychology is a sub-branch of zoology.   And as such, all very well in its way.  After all, to zoology falls the welcome task of displaying the wondrous ways of Our Friend the Beaver.   But its philosophical significance  is next to nil.

Why, then, does this professional philosopher  yield to such abdication/self-abnegation?  The move does not seem to have anything to do with anything we have hitherto discussed (deficient commitment to theism or what not).  But Haack herself weighs in with a perceptive … psychological suggestion (ibid, p. 156):

I suspect that his aspirations to found a new interdisciplinary enterprise  in which psychology supplies the straw  and philosophy makes the bricks, since it has no very cogent motivation, may be explained in part by the hope that epistemology might come to share something of the prestige and intellectual excitement that the booming fields of AI and cognitive psychology enjoy.

Astute, that.

*

Uh-oh… Another page, another outrage.
We are used to philosophers, and scientists masquerading as such, attacking Faith, and believers;  well and good.  And debunking this or that belief as false or confused.   But now we find some wiseacres maintaining, not merely that many of our beliefs are epistemically shaky,  nor even that we may have no justified beliefs whatever (a point with some truth to it, if you’re a real stickler for justification, but one which should not be put in the hands of adolescents), but that we have no… beliefs…. tout court.   Such a position (admittedly attention-getting, like a flasher or a  flagpole-sitter) is espoused by the ineffable Paul Churchland, as well as by one Stich, whom we’ll not further identify.  (Nor could I tell you whether the surname rhymes with sick or with bitch.)  Evidence and Inquiry, p. 159:

Churchland holds that beliefs are mythical because not ‘smoothly reducible’ to neurophysiological states.  Stich, that beliefs are mythical because their content … violates the ‘autonomy principle’ to which psychological explanations supposedly conform.


She comments:

Churchland’s and Stich’s thesis that there are no beliefs  rests, at bottom, on misconceptions about what beliefs are.

This is to give them too much credit.   It’s not as though a bit more contact with actual people (rather than the pithed specimens they apparently surround themselves with) would set them straight.   Their attack on common sense is psychologically more akin to that supersceptic (there is one in every freshman dorm) who denies the existence of the external world:  taking him to some corner of the external world, say a playground, is not going to change his mind.
But in fact the Stich-Churchland position is logically in much worse case.  For, there is indeed a logical possibility that this coffee-cup I seem to be sipping from  does not exist.  It is an illusion, and we are all just brains in a vat (like in “The Matrix”).  In which case the evil demon above-mentioned is indeed at the helm.   It is possible.  Logically.   But even in that drastic case, we still have beliefs.  I still believe that I am sipping this coffee, though  alas  I am sadly mistaken.
( I’m pretty sure the Churchlands are an illusion -- possible an effect of swamp-gas -- but our beliefs are not an illusion.  They may well be mistaken, but they -- are.)
Indeed, the existence of beliefs is as solid as the Cogito.  I believe I have beliefs -- tiens, there's one right there!  For the attempt to impugn such things, cf. Wiki's article on "Self-Refuting Ideas".

 

Compare further:

Vico’s defense of the Geisteswissenschaften  against the claims of scientific naturalism  relied essentially on the principle that inner access to the products of our minds … yields a degree of certainty  unattainable in the natural sciences.
-- Noam Chomsky,  Rules and Representations (1980), p. 242

Giambattista Vico : filosofo, storico e giurista

Nor is it enough for these gentlemen   thus to reduce our view of humanity to that of sea-slugs -- a species about whom Churchland rhapsodizes.  Not only the comparitively intellectual notion of belief (somewhat problematic apud the sea-slug) but even that of desire (sea-slug: Must ... eat ... slime ....)  should be abolished:  we are merely and simply  automata -- albeit “connectionist” automata, a buzz-word that has snagged a lot of funding in recent decades.   “Beliefs and desires are of a piece with phlogiston,” he intones.

And what do we have in its place, to describe the wide world?  Why,  “vector-to-vector transformation, effected by a matrix of differently weighted synapses”.

The lay reader is expected to be stunned into silence before such big words.   (Hint:  They are trivial.)   And it is was partly to inoculate myself against such sciolist-scientistical flimflam that, having been accepted to college as an English major, but spent a year before entering  immersed in the nonsense of literary France, I abruptly changed my major to Chemistry (switching later to Physics and then Math) -- sheer intellectual prophylaxis.   For you need the confidence that comes with a certain background, to stand firm in the face of such faddish blasts, as issue from the fundaments  of the gentlemen above-referenced.   A splendid example of such unflappable phronesis   is provided by John Maynard Keynes, who, in his  Treatise on Probability (1921), performs a valuable civic service in exposing the crippling conceptual deficiences that can hide behind a gauze of mathematical formalism.

Now, I’m not being very nice about this.  Bounds of academic discourse and all that.  But the fact is, these clowns have adolescents under their intellectual care;  it would not be too much of a stretch to haul them up on charges of interfering with the morals of a minor.

And -- wonderful to relate -- the sober, analytical, sometimes even plodding Susan Haack, hitherto always scrupulously fair to all sides, seems suddenly to have had enough.  P. 170:

Rather than call them ‘anti-realists’ about intentional states, as Fodor does, I shall call them ‘atheists’.

You said it, sister!  Off come the gloves, and down come the masks!

[Stay tuned as the saga further unfolds.  The next chapter, “Vulgar Pragmatism:  an Unedifying Prospect”, promises to make thine each particular hair to stand on end, like quills upon the fretful porpentine.]



(*) The barbs above are meant as gentle, well-intentioned.  I have nothing but sympathy for any thinker whose intricately reticulate conceptualizations  outrun the resources of our everyday streetspeak.   As it happens, Ms. Haack, though an excellent analyst, is not much of a wordsmith, and her coinages drop like lead.  And she herself is baffled by similar abortive coinages (p. 198):
All Stich offers to persuade us that truth is not intrinsically valuable  is the observation that truth is just one of a whole range of semantic properties a belief might have (truth, TRUTH*, TRUTH**, .. etc.)[…].  Frankly, I have no idea even what it might mean to say that another culture picked out,say, TRUTH* instead of truth.



Saturday, February 12, 2011

Realism: Contrasting Terms


 [This continues a lexicographic/definitional thread begun here.]

Rather the way information about an analytic function in the interior of a region  may be gained from an examination of its values on the boundary,  the nature of Realism -- a multifaceted body of thought -- may be illuminated by various contrasts with what it is not.

Michael Dummett writes, in “Realism” (1963), repr. in  Truth and other enigmas (1978), p. 145:

I was told at school that the scholastic doctrine known as realism, and opposed to nominalism, had nothing whatever to do with that opinion known as realism in later philosophy, as opposed to idealism.  It was only much later that it struck me that the two disputes bore to one another an analogy which made the use of the same designation ‘realism’ for one side in each of them  more than a pure equivocation:  although the subject-matter of the two controversies differed, there was a rememblance in the form of the disputes.

(We heartily concur in this formulation.)

Dummett goes on (p. 147) -- to the admiration of this former lexicographer -- to present a list of dichotomies:

realism about material objects, opposition to which has traditionally taken the form of phenomenalism;
realism about the theoretical entities of science, which is opposed by scientific positivism:
realism about mathematical statements, for which I shall use the standard name ‘platonism’, employed (not altogether happily) by Bernays and Quine, opposition to which is known as ‘constructivism’;
realism about mental states … to which is opposed behaviourism.

He finishes this useful roster with “realism about the past and about the future”, but provides no antonym.  We might name it for him:  “relativistic Wal-Martia".

Further dichotomies from Dummett:

Michael Dummett, “The Structure of Appearance” (1955), repr. in Truth and other enigmas (1978), p. 29:

nominalistic [vs.] platonistic:  … those which do not, and those which do, use class-theory as part of the logical framework …

Michael Dummett, “Nominalism” (1956), repr. in Truth and other enigmas (1978), p. 42:

The platonist is he who employs in his formalism  the machinery  either of set theory  or of higher-level quantification;  the nominalist is he who dispenses with these  and uses at most  the calculus of individuals.


Michael Dummett, “Truth” (1959), repr. in Truth and other enigmas (1978), p. 18:

Intuitionists speak of mathematics in a highly anti-realist (anti-platonist) way:  for them it is we who construct mathematics; it is not already there ….

Intermediate between the anti-realist just-so-story view, and the fullbore realist account:

Fregean notion of a mathematical reality waiting to be discovered
-- id.

To all this, Dummett offers a compromise (one  to my mind, incoherent):

If we think that mathematical results are in some sense imposed on us from without, we could have instead the picture of a mathematial reality not already in existence, but as it were  coming into being as we probe.  Our investigations bring into existence  what was not there before, but what they bring into existence  is not of our own making.


Michael Dummett, “Frege’s Philosophy” (1967), repr. in Truth and other enigmas (1978), p. 88:

Frege would have to be classified as a member of the realist revolt against Hegelian idealism … but apart from his assault upon psychologism, Frege barely troubled to attack idealism at all; he simply passed it by.

*
Miscellaneous further dichotomies:

William James, The Principles of Psychology (1890), vol. II, p. 617:

This structure is supposed by the apriorists to be of transcendental origin, or at any rate  not to be explicable by experience;  whilst by evolutionary empiricists  it is supposed to be also due to experience, only not to the experience of the individual, but to that of his ancestors as far back as one may please to go.

Note that one can consistently hold both positions, in the following sharpened sense:  and in this sense it is in fact the position of Chomsky and his followers vis-à-vis our linguistic apparatus.   John’s linguistic (tacit) knowledge is not (fully) explicable by his own, personal experience;  one is however at liberty to suppose that his connate Language Acquistion Device may have been moulded by Natural Selection, acting upon untold generations of his ancestors.


Quine, in Hahn & Schilpp, eds., The Philosophy of W. V. Quine (1986), p. 619:
Duhem’s fictionalistic attitude toward physics  and my realistic attitude

Thomas Tymoczko, ed., New Directions in the Philosophy of Mathematics (1986, rev. 1998), p. xvi:
the dichotomy between realism and constructivism:  is mathematics discovered or invented?


Susan Haack, Evidence and Inquiry (1993), p. 188:
At the strongly irrealist end, there is Rorty's proposed identification of 'true' with 'what you can defend against all comers'.
 

Reuben Hersh, in Thomas Tymoczko, ed., New Directions in the Philosophy of Mathematics (1986, rev. 1998), p. 11:

The typical working mathematician is a Platonist on weekdays  and a formalist on Sundays.