With these points in mind I shall thus take it that it is at least
possible for the Iterativity principle to form part of a well-formed internalist
epistemology.9
Since we are currently concerned with the properties of an
internalist theory of knowledge, it ought to be the case that the
knowledge
which iterates on such a theory is itself internalist knowledge. We can
thus express the particular Iterativity principle that we are interested
in more formally as follows:
Internalist Iterativity
IKI: ("ø) (K [ø] ® KI [KI [ø]])10
There certainly does seem to be a very close connection between
Iterativity and the externalism/internalism distinction. For example, a
number of prominent internalists in the theory of knowledge, such as H. A.
Prichard [1950] and Chisholm [1982], have endorsed this principle.11
Moreover, it has been a common externalist doctrine to hold that
Iterativity - when not indexed throughout to internalist knowledge of
course - should fail. One finds such a position advocated in the writings
of such leading externalists as, for example, Fred Dretske [1971] and D.
M. Armstrong [1973].
Indeed, some have argued that the epistemological distinction
between internalism and externalism is entirely recoverable in terms of
the relation that these two doctrines bear to this principle. As Michael
Williams has expressed the point:
Since they allow us to know things, [...], even when we do not know that
the appropriate reliability conditions are met, externalist theories of
knowledge [in contrast to internalist theories of knowledge] drive a wedge
between knowing and knowing that one knows. [Williams 1991, p. 98]
According to this view, whereas internalism entails Iterativity (or, more
specifically, IKI) - and thus, we might, think, the transparency of
knowledge - externalism entails the negation of Iterativity (at least in
its non-internalist guise) - and thus the opacity of knowledge.12
As I shall now show, however, this conception of the
internalism/externalism debate is faced with a dilemma. On the one hand,
insofar as IKI can be understood such that it captures the idea that
knowledge is transparent, then it must be invalid. On the other, insofar
as IKI is understood such that it evades this particular objection, then it
is unable to capture the thought that knowledge is transparent. In order to
see this, we need to consider the repercussions that our previous
discussion of the nature of internalist knowledge at first-order has to
the nature of internalist knowledge at second-order.
Presumably, the thought underlying the thesis that transparency
is encapsulated in Iterativity is that if one knows then one knows that one
knows in the sense that one is able to tell, by reflective means alone,
that one knows. The problem is that, as we saw in the last section,
insofar as we have a plausible internalist account of knowledge, then there must
be cases in which there is a condition on knowledge at first-order that the
subject is unable to know has obtained via reflective means alone. Given
that this is so, however, then that a subject has iterated second-order
internalist knowledge will not guarantee that the subject has reflective
access to the conditions under which he (internalistically) knows at
first-order. Accordingly, the presence of second-order knowledge, even on
the internalist account, cannot ensure the transparency of knowledge. And
if that is so, then the prospects for IKI capturing the idea that
internalist knowledge is transparent are non-existent.
Of course, one could just stipulate that IKI should be understood
such that the second-order knowledge in question incorporates reflective
access to all the conditions under which first-order knowledge is
achieved, thereby guaranteeing transparency. (This is, presumably, how a defender of
the view that transparency is encapsulated in IKI understands the
principle). On this construal, however, IKI is now completely implausible.
Since, as we have seen, internalist first-order knowledge must incorporate
a non-reflectively accessible external condition, it follows that any
construal of Iterativity that has it demanding such reflective access must
be inconsistent with the internalist view.
So either IKI is possibly true, in which case internalist
knowledge is no more guaranteed to be transparent at second-order than it
is at first-order. Or second-order internalist knowledge is understood
such that it is guaranteed to be transparent, in which case IKI must, on the
internalist view, be false. Either way, then, one cannot capture the
thesis that internalist knowledge is transparent via IKI, and thus one cannot
argue for the transparency of internalist knowledge on this basis. So
though it might be true that one could recover the externalism/internalism
distinction in terms of this principle, that this is so would have nothing
essentially to do with the transparency of knowledge. Moreover, this
result emphasises the fact that we need to be careful when dealing with
Iterativity principles not to read more into the 'K' operator at
second-order than we would at first-order.13
IV
That knowledge is opaque on even the internalist account also affects the
way another pivotal epistemic principle should be understood. This is the
so-called 'Closure' principle that knowledge is 'closed' under known
entailment, which states, roughly, that if a subject knows a proposition,
ø, and this proposition entails a second proposition, µ, then that subject
also knows the second proposition, µ. Of course, since we are trying to
capture this principle in terms of an internalist framework, it needs to
be understood such that knowledge is indexed throughout to internalist
standards. We can thus express the variant of the Closure principle that
we are particularly interested in more formally as follows:
Internalist Closure
CKI: ("ø) {(KI [ø] & KI [ø ® µ]) ® KI [µ]}
The status of the Closure principle has elicited a great deal of
discussion ever since it was explicitly denied (in its non-internalised
form) by Dretske [1970] and Robert Nozick [1981]. Given that both of the
accounts of knowledge put forward by these philosophers are externalist
accounts, it is perhaps no surprise to find that a close correlation has
formed in the philosophical imagination between epistemological
externalism and the denial of Closure. Indeed, there is good reason for thinking that
the two theses are closely linked. After all, a common externalist motif
is that externalism allows an agent to know a proposition, because his belief
is appropriately reliable, even whilst lacking any knowledge that the
method via which he knows is itself reliable. (Indeed, one finds one
expression of this particular construal of externalism in the quotation
from Williams that we saw above, where he writes that externalist theories
allow us to know things "even when we do not know that the appropriate
reliability conditions are met"). Accordingly, one might know a
proposition, know that it entails the obtaining of a certain 'reliability'
condition, and yet fail to know that the reliability condition has
obtained. And since this is itself a counterexample to Closure - at least
on a non-internalised construal - so this externalist motif directly
counts against the adoption of this principle.14
So just as many find it intuitive to suppose that one can recover
the externalism/internalism distinction in terms of the status of
Iterativity, similarly it is also common to think that one could do the
same with Closure. If you accept it, then you must be an internalist;
whereas if you reject it, then you must be an externalist. Moreover, the
status of this principle is closely tied to the issue of transparency
because, intuitively, if one is unable to tell that the known consequences
of what one knows have obtained, then that one knows cannot be an entirely
pellucid affair. Our previous discussion should, however, give us cause to
doubt this neat view of the contrast.
One of the morals of the preceding discussion is that any
plausible account of internalism must be such that it allows for the
obtaining of certain conditions to be essential to knowledge possession
even though the subject is unable, in principle, to reflectively determine
that those conditions have been met. Given that this is so, however, then
one should expect it to be the case that there are known consequences of
the truth of what an agent (internalistically) knows that that agent is
unable, in principle, to (internalistically) know.
As a case in point, consider a standard sceptical scenario. An
agent may well (internalistically) know that he is currently seated at his
computer, because his belief is not only true but he also has sufficient
(internalistic) justification and whatever other external condition which
needs to obtain has obtained. An entailment of the truth of this known
proposition, however - an entailment which, moreover, we might
legitimately suppose that the agent knows - is that he is not currently a
brain-in-a-vat (since a brain-in-a-vat does not sit anywhere). But since the agent could
not have, even in principle, sufficient reflectively accessible grounds for
believing that he is not a brain-in-a-vat, it follows that this known
consequence must be itself (internalistically) unknown.
On any plausible account of internalist knowledge, therefore, CKI
must founder, and thus any attempt to represent the transparency of
internalist knowledge in terms of CKI must be doomed to failure. As with
Iterativity, then, whilst it might be the case that one could recover the
externalism/internalism distinction in terms of the Closure principle, it
would not thereby follow that this result would hold out any moral
regarding the transparency, or otherwise, of knowledge.
V
Contrary to a great deal of received wisdom on this topic, we have seen
that it is actually the case that knowledge is opaque no matter what
epistemological theory one endorses. A consequence of this result is that
it straightforwardly invalidates those objections to externalist accounts
of knowledge that rest upon that claim that they make knowledge opaque,
whether these objections are directly stated in terms of the Transparency
thesis or indirectly in terms of the principles of Iterativity or Closure.
Consider, for example, the following passages from Fumerton:
It is tempting to think that externalist analyses of knowledge [...]
simply remove one level of the traditional problems of skepticism. When one reads
the well-known externalists one is surely inclined to wonder why they are
so sanguine about their supposition that our commonplace beliefs are, for
the most part, [...] knowledge. [...] Perception, memory, and induction
may be reliable processes (in Goldman's sense) and thus given his
metaepistemological position we may [... have knowledge of] the beliefs
they produce but, the sceptic can argue, we have no reason to believe that
these process are reliable and thus even if we accept reliabilism, we have
no reason to think that the beliefs they produce [constitute knowledge].
[Fumerton 1990, p. 63]15
In effect, the complaint that Fumerton is giving expression to here is
that externalism allows that there are certain conditions on knowledge that we
are unable to reflectively determine have obtained, or, in other words,
that externalism leaves the possession of knowledge opaque. Indeed,
Fumerton is more explicit about the focus of his objection when he goes on
to write that
[...] the main problem with externalist accounts, it seems to me, just is
the fact that such accounts [...] develop concepts of knowledge that are
irrelevant. [...] The philosopher doesn't just want true beliefs, or even
reliably produced beliefs, or beliefs caused by the facts that make them
true. The philosopher wants to have the relevant features of the world
directly before consciousness. [Fumerton 1990, p. 64]
Presumably, to argue that externalist accounts of knowledge are
problematic because they fail to demand that the relevant facts should be "directly
before consciousness" is simply to complain that such theories deal in
external conditions on knowledge that are not reflectively accessible by
the subject. Insofar as this is a problem for externalist accounts of
knowledge, however, then, as we have seen, it is a problem that is equally
applicable to internalist theories as well. Accordingly, if there is a
legitimate worry about the inscrutability of knowledge being expressed
here at all, then it is a worry that it is incumbent upon all epistemologists
to share.
Fumerton is not the only one to put forward objections to
externalism that run along these lines, though he is perhaps the most
explicit about what the complaint that he is giving voice to amounts to.16
For example, a similar argument against externalism seems to be implicit
in the following passages from Barry Stroud:
[...] suppose there are truths about the world and the human condition
which link human perceptual states and cognitive mechanisms with further
states of knowledge and reasonable belief, and which imply that human
beings acquire their beliefs about the physical world through the
operation of belief-forming mechanisms which are on the whole reliable in the sense
of giving them mostly true beliefs. [...] If there are truths of this kind
[...] that fact alone obviously will do us no good as theorists who want
to understand human knowledge in this philosophical way. At the very least we
must believe some such truths; their merely being true would not be enough
to give us any illumination or satisfaction. But our merely happening to
believe them would not be enough either. We seek understanding of certain
aspects of the human condition, so we seek more than just a set of beliefs
about it; we want to know or have good reasons for thinking that what we
believe about it is true. [Stroud 1994, p. 297]17
It is difficult to understand Stroud's objection here if it is not to be
construed along similar lines to that found in the passages from Fumerton
cited above.
For example, the particular problem with externalist approaches
that Stroud is giving a lyrical expression to cannot be that they do not
give us a "philosophical" account of our knowledge of the world (they
manifestly do). Moreover, neither can it be that such theories do not
allow us to know the "truths" that he writes of (which are, in effect,
reliability conditions), since this is clearly an open question that is
not settled on purely a priori grounds. The focus of the objection must thus
be on the lack of "reasons" we have for thinking that such reliability
conditions obtain. Again, however, taken literally what Stroud says is
false - externalist accounts can indeed offer us reasons for thinking that
such conditions obtain. As noted above, externalism is perfectly
consistent with the idea that internalist notions, such as the internalist conception
of justification, are fundamental (though not essential) to the possession
of knowledge.
Accordingly, the objection that Stroud is proposing here must be
that the reasons which externalist accounts offer us for thinking that the
reliability conditions in question have obtained are inconclusive. And, of
course, Stroud is perfectly right about this. Since, as we have seen,
these external conditions must be such as to preclude phenomenologically
indistinguishable sceptical scenarios, we could not, even in principle,
have sufficient reflectively accessible grounds to conclusively indicate
that they have obtained. Stroud's objection thus comes down to the same
old complaint against externalist accounts (expressed by Fumerton above) that
they leave the possession of knowledge an opaque matter. But since this is
a difficulty that is not unique to externalist theories of knowledge, one
can hardly censure externalist epistemologies on this basis.
Indeed, this way of understanding Stroud in this respect would
also explain why he argues that externalism does not permit us to know
that the reliability conditions have obtained. If one interprets the 'know' in
question here so that it demands reflective access to all the facts which
determine one's knowledge, then such knowledge is clearly lacking on the
externalist account, just as Stroud says. But, as argued above, to
understand knowledge in this way is to do far more than merely give it an
internalist reading. Rather, what Stroud is doing here is adopting a
construal of the operator that no epistemologist, of either persuasion,
could consistently endorse. Stroud is thus assessing externalism relative
to unreachable standards that no epistemology could fulfil.
It thus appears that a certain conception of the
externalism/internalism debate - and, relatedly, a certain line of
critique regarding epistemological externalism - is based, either explicitly or
implicitly, upon a faulty view of what an internalist epistemology can
reasonably be thought to offer. This is not to say, of course, that
internalism should be abandoned for lacking this one merit, important
though the presence of such a property seems to be for certain
commentators. Rather, the point is that a mature debate between
epistemological internalists and externalists needs to recognise that
there are certain theoretical virtues that no plausible account of knowledge can
be thought to provide, and hence be willing to proceed on this chastened basis.18
Duncan Pritchard
University of Stirling
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Notes
- 1. We shall consider some textual examples of this conventional wisdom in Section V.
- 2. Of course, some externalists do reject the internalist conception of justification out-right – see, for example, Lewis [1996], p. 551 - the point is only that such a denial is a non-essential component of the externalist position.
- 3. Indeed, Brandom endorses what he terms a ‘weak’ externalism that holds that the cases in which an agent knows but lacks internalist justification are only peripheral. For more on Brandom’s position in this respect, see Brandom [1994; 1995].
- 4. For more discussion of the externalism/internalism distinction, see Bonjour [1980]; Goldman [1980]; Alston [1986]; and Fumerton [1988].
- 5. In order to avoid unnecessary complications, all uses of the ‘K’ operator, in either guise, should be understood as relativised to the same time and the same agent.
- 6. Note also that since all internalist knowledge is, by definition, knowledge, the entailment will also run from right-to-left.
- 7. This example is common currency in the contemporary literature, appearing in, for instance, Lewis [1996]; Sainsbury [1996]; and Brandom [1998].
- 8. Indeed, Bonjour [1985, pp. 40ff.] explicitly makes a similar point as part of his critique of the externalist account, though the example he focuses upon is that of the reliable clairvoyant who has no reason for believing that that his ‘gift’ should be trusted, as opposed to the naïve chicken-sexer.
- 9. For more on the status of the Iterativity principle, see Alston [1980] and Greco [1990].
- 10. Note that the entailment from right-to-left uncontroversially holds since it merely reflects the ‘factivity’ of knowledge - that the possession of knowledge entails the truth of what is known. Note also that, for simplicity’s sake, IKI only captures the stronger of the two formulations of Iterativity offered above - that is, that if one (internalistically) knows then one does (internalistically) know that one knows, not just that one is in a position to (internalistically) know that one knows. This makes no difference to the ensuing discussion because the points I raise are equally applicable to either interpretation. Nevertheless, the reader should read IKI with both the stronger and the weaker formulation in mind. Moreover, if one is impressed by Greco’s objection to Iterativity, then one should simply read the principle as restricted to first-order knowledge only.
- 11. See also Hintikka [1962] and Ginet [1975].
- 12. Indeed, perhaps the clearest sign of the dominance of this conception of the externalism/internalism distinction is that it is routinely presented as part of an account of the distinction by philosophers working outside of purely epistemological debates. For example, in his recent book on the philosophy of science, Bird [2000, pp. 215-21] argues both that the internalistically motivated Iterativity principle is false, and that only an externalist epistemology could explain why this is so.
- 13. That more gets read into the notion of second-order knowledge, and thus Iterativity, than is strictly warranted also has an impact on the issue of whether or not externalist knowledge iterates. After all, a number of the arguments against Iterativity on the externalist account seem to implicitly suppose that second-order knowledge involves some special reflective sort of knowledge which may well be absent from merely first-order knowledge. As Wright has expressed the point:
I suspect that there has seemed to many to be an obvious problem with Iterativity from such a[n externalist] standpoint only because they lapse, illicitly, into internalism at the second “K”, as it were – so that the driving thought is that one might be appropriately “hooked up” to some region of reality without having any reason to think so. If each occurrence of “K” is interpreted in the favoured externalist way – as a matter of de facto reliable connection – it is far from immediately clear that a subject’s second-order beliefs about his knowledge of some subject matter will not be reliable whenever his beliefs about that subject matter are. [Wright 1991, p. 92]
Indeed, this suspicion is borne out in the literature. Consider the following quotation from Feldman, for example, where he objects to externalist theories of knowledge on the grounds that they result in the failure of Iterativity:
We might put the point by saying that cases of merely apparent knowledge are introspectively indistinguishable from cases of actual knowledge and that, consequently, no one can ever know of a case of apparent knowledge that is actual knowledge. In short, no one ever knows that he knows anything. [Feldman 1981, p. 269]
But this can’t be the problem, since externalist accounts of knowledge do not demand that the possession of knowledge (at any order) requires the presence of such subjective introspectively available factors in the first place. Accordingly, what Feldman must have in mind here is the thought that externalist knowledge will not entail second-order internalist knowledge construed in the demanding fashion discussed above, and, as we have just seen, this complaint is equally true of even internalist theories of knowledge.
- 14. Furthermore, if one regards knowing such reliability conditions as being essential for second-order knowledge – as Williams intimates elsewhere when he writes that “[k]nowledge of these [reliability] conditions is relevant to knowing that one knows that P, but not to knowing that P itself” [Williams 1991, p. 333] - then to argue that one could possess (externalist) knowledge whilst not knowing such conditions is tantamount to claiming that externalism entails the denial of a (non-internalised) Iterativity, just as we saw Williams and other commentators arguing above.
- 15. Fumerton develops this line of attack at length in Fumerton [1995].
- 16. Aside from Stroud, whose remarks on this topic I consider below, another philosopher whose work springs to mind in this regard is Craig and his attack on the Nozickean style of anti-scepticism. See in particular Craig [1989] and the response by Brueckner [1991].
- 17. Stroud was explicitly responding here to Sosa [1994]. He expands upon this train of thought in Stroud [1984; 1989].
- 18. Thanks to Patrick Greenough, Jesper Kallestrup, Patrice Philie, Peter Sullivan and Crispin Wright for discussion of this paper and related topics.
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