Tuesday, 10 April 2012
Outline of Goldman's "A Casual Theory of Knowing"
Tuesday, 3 April 2012
Outline of Clark's "Knowledge and Grounds"
Thursday, 8 March 2007
Gettierising Nozick
(N1) If p were true, then S would believe that pFollowing David Lewis [1973] we may say that (N1) and (N2) are true, as counterfactual statements, iff in possible worlds near to the actual world, if p is true, S believes that p, and if p is false S does not believe that p. Nozick recommends that we assess (N1) and (N2) by reference to what is the case in all nearby possible worlds. Roughly, a world may be described as ‘nearby’ if it is only slightly different from the actual world and ‘distant’ if it is radically different.
(N2) If p were not true, then S would not believe that p1
The following reply to GLR seems available to Nozick. Let us suppose that the set of nearby possible worlds include ones in which the computer is running a different program or is missing altogether. In such nearby worlds, although there is a red cube in the box, there is no hologram of a red cube. Since in such a world the subject would not believe that (a) although (a) is true, (N1) has not been satisfied.
One initial difficulty with this reply is that it is not immediately clear that worlds in which the computer is running a different program or is missing altogether should be considered nearby. But let us, for the sake of argument, assume that such worlds are in fact nearby.
Even so, Nozick’s strategy for responding to GLR proves too much, since it also impugns cases in which the subject intuitively has knowledge.
The ‘Jesse James’ Counterexample:
Consider the case of the Jesse James Bank Robbery, as described by Craig [1990]:
Jesse James, the reader will recall, is riding away from the scene of the crime with his scarf tied round his face just below the eyes in the approved manner. The mask slips, and a bystander, who has studied the ‘wanted’ posters, recognises him. The bystander now knows, surely, that it was James who robbed the bank. But Nozick has a problem: there is a possible world, and a ‘close’ one, in which James’ mask didn’t slip, or didn’t slip until he was already past the bystander; and in that world the bystander wouldn’t believe that James robbed the bank, although it would still be true that he did. So Nozick’s condition [N1] is not satisfied, and he is threatened with having to say that the bystander doesn’t know that it was James, even though the mask did slip. So his analysis looks like ruling out something which is as good a case of knowledge as one could wish for [p. 22].Nozick is already equipped with a reply to the ‘Jesse James’ counterexample, akin to that employed in the Grandma case [See endnote 1]. In brief, he may simply argue that in worlds in which the mask did not slip, the method employed by the bystander would be different. Thus, given the version of Nozick’s counterfactuals revised to include the subject’s method, worlds in which the mask did not slip would not be included in the relevant nearby possible worlds.
However, to the extant that this reply is effective in preserving the bystanders knowledge in the Jesse James case, it is also effective at preserving the GLR subject’s ‘knowledge’ that (a). In GLR, the computer program, as the locus of reliability, constitutes part of the method by which S arrives at her belief that (a). Thus, by (N1*), all worlds in which the computer program is different or the computer is missing, a different method is being used and that world eo ipso fails to count as nearby.
Endnote:
1 Counter examples such as the Grandma case has prompted Nozick [1981, p. 179] to revise (N1) and (N2), limiting them to the same method (i.e., vision):
(N1*) If p were true, S (using M) would believe that p
(N2*) If p were not true, then S (using M) would not believe that p
Sunday, 7 January 2007
Un-discriminating Reliabilism (Part 2)
A person knows that p, I suggest, only if the actual state of affairs in which p is true is distinguishable or discriminable by him from a relevant possible state of affairs in which p is false. If there is a relevant possible state of affairs in which p is false and which is indistinguishable by him from the actual state of affairs, then he fails to know that p. (Ibid, 774)Notice that the above discrimination requirement avoids the unfavourable consequences of the Gettier case described in my previous post in at least two ways. First, it omits all talk of justification and so (in at least one sense) traditional Gettier problems never arise. Second, since according to the aforementioned Gettier case S is unable to discriminate between the actual red cube and the hologram, her true belief does not constitute knowledge (thereby preserving our common-sense intuitions regarding such cases). But, and this is crucial to the point I’m getting at, what is doing the actual work in [Goldman 1976]’s reply to Gettier is the discrimination requirement, and not the notion of reliability a la (J-Rel). Admittedly, in [Goldman 1976], Goldman defines reliability in terms of a subject being able to discriminate between relevant alternatives and thus the former is taken to entail the latter. However, in later formulations of the reliability requirement, explicit appeals to discriminative abilities are increasingly omitted, and Goldman eventually comes to define a reliable process as more or less one that tends to produce true beliefs. Moreover, I do not believe this shift in Goldman’s definition of reliability is by accident. Presumably, talk of discriminative abilities falls out of Goldman’s analysis (now taken to be unnecessary) once he shifts to an explicit J-externalism, where what makes a belief justified need not be internally available to the subject.
The objection may be raised that even with the J-externalist turn in Goldman’s thinking, the discrimination requirement remains an implicit part of his account. I will not deny that this may be the case. Even so, it has long been recognised that the discrimination requirement can stand on its own, independent of any appeals to reliability (see for example [McGinn 1984]). Thus, if my claim that what is doing the work vis-a-vis Gettier is actually the discrimination requirement, rather than reliability qua reliability, then this is at least sufficient to establish that when it comes to the aforementioned Gettier case, reliability a la (J-Rel) is at best explanatorily redundant and at worst explanatorily inert. (The second more unpropitious option holds if you consider my arguments in (Part 1) persuasive.) Moreover, even if one were to reject the account of the evolution of Goldman’s thought outlined above, my more general conclusions still stand: (1) that though reliability and discrimination are classically taken to go together this need not be the case and (2) if (DR) is doing the heavy lifting in classic reliabilist replies to Gettier then the widely held assumption that (J-Rel) constitutes a successful reply to Gettier may be unwarranted.
References:
Goldman, A. (1967), 'A Causal Theory of Knowing', Journal of Philosophy 64: 355-372.
Goldman, A. (1976), 'Discrimination and Perceptual Knowledge', Journal of Philosophy 73: 771-791.
Goldman, A. (1979), 'What is Justified Belief?' Justification and Knowledge, Dordrecht: Reidel.
Tuesday, 2 January 2007
Un-discriminating Reliabilism (Part 1)
(DR) For any subject S, if S knows that p then S can distinguish the actual situation in which p from all relevant or nearby alternative situations in which ~p.Recall, J-reliabilism amounts to following claim:
(J-Rel) For any subject S, S’s belief that p is justified IFF it was formed via a reliable process (i.e., a process that tends to produce true beliefs).According to (J-Rel), reliability is what makes a belief justified. (see [Goldman 1979]). By defining justification in terms of reliability, J-reliabilists hope to eliminate that element of luck that allows our beliefs, under the traditional JTB account, to be Gettiered. However, it is not clear that (J-Rel) is sufficient for resisting Gettier type cases. For example, consider the following perceptual Gettier case:
Suppose S has strong perceptual evidence for, and comes to believe, the proposition:
(a) There is a red cube in the box on the table.Now, it so happens that there is in fact a red cube in the box on the table, though the cube is being obscured from S’s visual field by some sort of barrier. Furthermore, the box is rigged up to a computer which projects a visual hologram of a red cube in the box. However, the computer is programmed to only project the hologram of the red cube in the box when there is a real red cube in the box. Moreover, S lacks any of this background information, and forms her belief that (a) purely on the basis of the hologram of the red cube. All of the following seem true in the above case:
(i) (a) is trueEx hypothesi, (iii) is true since the computer is programmed to only project the hologram of a red cube when there is an actual red cube present (one may build in whatever stipulations one likes, such as that the computer is eternal and infallible in its operation etc.). Thus, S’s belief that there is a red cube in the box is reliable since the process by which the belief was formed would, given the computer’s programming, tend to produce true beliefs. However, I believe this represents a bona fide Gettier case since, though S has a justified (i.e., reliably formed) true belief, we wouldn’t say that she has knowledge.
(ii) S believes (a) is true
(iii) S’s belief that (a) is formed via a reliable process
I take the above Gettier case to show that mere reliability is insufficient for eliminating the element of luck from S’s belief that (a). To wit, (J-Rel) fails to eliminate the element of luck associated with S’s belief that (a) since the fact that her belief is reliable is (from the subject’s perspective) itself merely a matter of luck. Thus, we may say that it is lucky that S’s belief was formed via a reliable process. Significantly, the particular species of epistemic luck here described is easily eliminated by making the reliability of the belief forming process internally available to S. Thus, if S knew that what she was seeing was merely a hologram, but that the hologram was itself reliably linked to the presence of an actual red cube in the box, then our intuitions would grant that S does in fact know that there is a red cube in the box. Thus, I see the above Gettier case as corroborating the internalist intuition that that which justifies S’s beliefs should be internally available to her.
Notice that I haven’t made any references to S being able to discriminate between actual red cubes and holograms of red cubes, nor to definitions of reliability that appeal to relevant alternatives (See [Goldman 1986]). This failure to invoke (DR) is in keeping with my ultimate goal of showing that what is doing the real work in classic reliabilist accounts is not reliability qua reliability, but rather an implicit commitment to (DR). Above, I have argued that reliability alone [i.e., (J-Rel)] is insufficient for responding to Gettier. In my next post, I argue that the mistaken assumption that (J-Rel) and (DR) must go together has misled reliability advocates to impute to J-reliabilism an explanatory power that it actually lacks.
References:
Goldman, A. (1967), 'A Causal Theory of Knowing', Journal of Philosophy 64: 355-372.
Goldman, A. (1976), 'Discrimination and Perceptual Knowledge', Journal of Philosophy 73: 771-791.
Goldman, A. (1979), 'What is Justified Belief?' Justification and Knowledge, Dordrecht: Reidel.
Saturday, 16 December 2006
Looking for a Causal Criterion for Vision
S sees an object O before him only if
(1) S has an experience E such that it looks just as if O is before himHowever, this definition hardly seems sufficient for saying that S sees O before him. For example, we may construct something akin to a Gettier-type counterexample to (1) and (2). (I say that the following example is merely ‘akin’ to a Gettier case because unlike the genuine Gettier counter-example mine is not concerned with the question of justification.) Imagine S has his eyes closed and is hallucinating that there is an object O before him. Suppose further that there actually is an object O before him. In such a case, the requirements of both (1) and (2) have been met, and yet we would not wish to say that S sees O before him since S would continue to have the experience E even if O was not present. This observation has motivated a causal account of perception that stipulates that S only counts as seeing O if E is caused by O. Thus we arrive at:
(2) There is an object O before S
(3) S’s experience E is caused by O.As it stands, the stipulation that E is caused by O does not seem sufficient since we can imagine instances when such causal dependence holds but in which we would still not count S as seeing O. Grice presents us with two such scenarios [Grice 1961, 141-5]. The first case is where S has his eyes closed and another person, P, describes the object O to S, which then prompts S to have a hallucination of O. In such a case, S’s experience E is caused by O, albeit indirectly via P’s description. Since E is ultimately causally dependent on O, the demands of (3) have been met. Yet, we would still be unwilling to say that in such a scenario S sees O. Thus, as it stands, the addition of (3) is still not sufficient for defining a case of vision.
One possible reply to Grice’s first example would be to point out that it is highly unlikely that P’s description of O could give rise to a hallucination in S that perfectly matched O. Thus, if we added a clause to (3) requiring that E perfectly match O we would (it is supposed) exclude cases of hallucinations based on the description of an object. Thus we arrive at something like:
(3)* S’s experience E is caused by O and E perfectly matches O.At least three points can be made with regards to the above reply to Grice’s first example. First, it is not clear that it is impossible for P to describe O in enough detail for S to have a hallucination of O that fulfilled the requirement of (3)*. Admittedly, this may be difficult to do depending on how complex O happens to be, but it certainly isn’t (strictly speaking) impossible. In fact, it may even turn out that the perfect match between E and O may simply be a matter of luck, this would still be sufficient to fulfill the requirement of (3)*, so long as E is (indirectly) caused by O. Moreover, we could imagine a case in which O is a simple geometric shape such as a triangle or square. In such a case it wouldn’t seem all that difficult for P to describe O in such a way that S’s hallucination of O perfectly matched O.
Second, (3)* does not seem like a plausible necessary condition for vision since there are many cases in which we may be willing to say that S sees O although E does not perfectly match O. For example, let us suppose that S sees a white shaggy dog, which he mistakes for a sheep. In such a case, S’s experience E may not perfectly match O and yet it is not clear that we would wish to deny that S sees O. Other examples include misreading the letters (or words) on a street sign and certain cases of blurred vision. Moreover, there is at least one reading of ‘perfectly matches’ in which it wouldn’t make sense to say any experience E perfectly matches (or in any way matches) O. On such a reading experiences may be taken to be a very different kind of thing from the objects that give rise to them. While I’m not particularly keen on pushing for such an interpretation of experience vis-à-vis objects, it does seem to be a viable position one may hold.
Our third and final objection to (3)* comes from Grice’s second counterexample. Grice imagines a scientist who looks at an object O and stimulates S’s brain in exactly the way necessary for S to have an experience E that matches O. If instead of a scientist we substituted a sophisticated computer, then the possibility of E perfectly matching O perfectly (at least as perfect as we could reasonably expect in a normal case of vision) becomes quite plausible. Given this fact, along with the fact that E remains causally dependent on O, the demands of (3)* have once again been met. Nevertheless, we would still be unwilling to say that in such a scenario S sees O. Thus, the addition of (3)* still leaves us with an insufficient causal criterion for vision.
Another way one may object to Grice’s examples is by pointing out that in both the causal dependence of E on O is indirect. If we stipulate that the causal dependence must be direct we arrive at:
(3)** S’s experience E is caused by O directly.The word ‘directly’, as used in (3)** suggests that there cannot be any mediating factors between O and E. However, this does not seem like a plausible requirement for vision since there are cases where O may cause E indirectly where we would nevertheless still wish to insist that S sees O. For example, imagine that S is looking at bacteria on a slide with the aid of a powerful microscope. In such a case, E’s causal dependence on O is mediated (i.e., by the microscope) and yet we may still wish to insist that S sees O.
Although the requirement that O directly cause E seems problematic, it does hint at a valuable intuition: namely, that there are a number of possible causal scenarios linking E to O that would be unacceptable as far as our putative understanding of vision is concerned. According to this line of reasoning our concept of vision includes the notion that there should be a certain type of causal relationship between perceptual experiences and their objects. Thus, for S to see O, his perceptual experiences must be caused in the right sort of way, where this is understood as excluding all causal chains that deviate from ‘the norm’. What constitutes ‘the norm’ can be arrived at easily enough by examining unproblematic instances (i.e., paradigm cases) where the locution ‘S sees O’ correctly applies. Examples, such as Grice’s discussed above, represent causal chains that deviate from the norm and therefore fail to be causally relevant in the right way. If we add the requirement excluding deviant causal chains to (3) we arrive at:
(3)*** S’s experience E is caused by O in the right sort of way.Admittedly, what the expression ‘right sort of way’ entails needs to be spelt on in greater detail. Nevertheless, (3)*** is regarded by many to reflect the canonical statement of the causal requirement of vision and is taken, along with (1) and (2) to be sufficient for establishing that S sees O.
The causal criterion we have derived represents merely the first step, rather than the end, of the debate regarding whether the causal description of vision is the best available. For example, many believe disjunctivism represents an attractive alternative to the causal picture, though it remains unclear whether the two approaches are necessarily incompatible. Moreover, while (1), (2) and (3)*** are here taken to be sufficient for vision, another question worth considering is whether they also represent a necessary condition.