Monday, 11 May 2020
Empiricism and Standpoint Epistemology
Monday, 13 April 2020
Subjectivist Truth
These thoughts are inspired by Liam Kofi Bright’s blog post on subjectivism about truth (see here). In the post he insists that we distinguish subjectivism from relativism. The latter is the doctrine that what is true for one may not be true for another, so that each thinker offers a distinct perspective or reference frame against which truth is determined. The problem with this view, he argues, is that it presupposes an objective conception that can survey all viewpoints at once and assert that each has its own extension for the truth predicate. Resisting this, the subjectivist insists that truth is exhausted by his or her own viewpoint: what is true for him/her is what is true, period. There are no other viewpoints to consider according to subjectivism.
Kofi Bright insists that subjectivism does not fall prey to the objection that the subjectivist cannot make sense of error because the subjectivist can accept that: (1) others believe things that he/she disagrees with, so those others can be wrong; and (2) the subjectivist him/herself has believed things in the past that he/she no longer believes, in which case the subjectivist can make sense of having been wrong. What the subjectivist cannot make sense is simply being wrong in his/her beliefs right now but this is not a problem, according to Kofi Bright, because “that is just to say: they are self-consistent”.
Okay, so if this is right, then one core idea of subjectivism is:
(S1) Right now, all of my beliefs are true.
But how could the subjectivist combine this with something else that Kofi Bright insists they can admit, namely:
(S2) In the past, I have believed falsely?
Presumably, (S1) applies to any time one wishes to consider: at the time, the subjectivist has no false beliefs. On the other hand, some past times include the subjectivist believing falsely. So, according to (S1), the subjectivist has no false beliefs right now. According to (S2), tomorrow it could be the case that the subjectivist had a false belief that day before, i.e. right now. The only way this could be the case is if something that is truly believed today can properly be false tomorrow.
Now, it is perfectly commonplace to revise one’s past beliefs, of course, but normally this results in the judgement that what one believed in the past was false at the time; one just didn’t realize it. In this case, however, it seems that the subjectivist cannot rightly claim that what s/he believed in the past was false without admitting that there was a time at which she had a false belief, in which case (S1) can only be said to apply to one time, whichever time is present. In short, the subjectivist must belief that her/his beliefs right now cannot contain falsehood, but that this same does not apply to any times other than the present.
What this suggests is that subjectivism is also a kind of presentism, according to which only the present is real, so one cannot generalize or quantify over non-present times. ‘For all times, t: P’ can only mean something like ‘From the perspective of right now, for all times, t: P’, which does seem in accordance with subjectivism. However, this isn’t without difficulty. First, it requires an answer to the various objections against presentism, which is no easy feat. Secondly, it renders subjectivism hard to motivate, for consider that if it is possible for the subjectivist to be wrong at any past time, on what basis can s/he believe that the current time must be an exception? Presumably, on the presentist basis that only the present is real at all, but then that robs the view of any substantive sense in which the subjectivist was wrong: a past mistake is not a real mistake because the past is not real. Unreal mistakes are not mistakes, it would seem. So it is hard to see how to combine (S1) and (S2).
A different kind of worry for the subjectivist is considered by Kofi Bright, and that is the idea that we can simply make things true by believing them, and this is a problem because the mind just doesn’t seem to have that kind of ontological power. He insists that the subjectivist may very well have a number of causal beliefs that rule out this kind of power. Nevertheless, if the sincere belief that P suffices for the truth of P, then there is some potentially troubling connection between the two here. Kofi Bright replies that the subjectivist can distinguish between constitution and causation and
insist that while they think a belief's being true is constituted by their believing it they are not saying their belief causes it to be true, nor that its being true causes the state of affairs it describes to obtain.
So let us consider the idea that what it is for a belief to be true is for me, the subjectivist, to believe it, without attributing causal power here. Whatever constitution amounts to, it will entail a biconditional:
(S3) It is true that P iff I believe that P.
I think that (S3) causes trouble for subjectivism in that it will commit the subjectivist to some strong and dubious propositions.
To see this, consider that if the subjectivist is to have anything like the worldview of contemporary natural science among her/his beliefs, then s/he will believe that we are biological creatures who evolved through time under selection pressure; at the very least, that we are physical entities, at least in part, who were created by physical, chemical, and biological processes. So, let’s call this the first premise:
(P1) We are evolved or at least created biological creatures.
Secondly, since truth is constituted by belief, the subjectivist must believe that she is capable of holding beliefs:
(P2) I, the subjectivist, am capable of holding beliefs.
Thirdly, since, within her/his subjective belief-set, we assume, with Kofi-Bright, that something close to the modern scientific worldview exists, we assume that s/he agrees that reality contains some kinds that cannot form beliefs (rocks, soil, water, stars, etc.), so:
(P3) The world contains entities that are not capable of holding beliefs
In other words:
(P3*) Not everything is capable of forming beliefs.
Fourthly, let us assume that the difference between that which is capable of belief and that which is not is accounted for buy some difference in the nature of the kid under consideration, so that if one is capable of forming beliefs, then one has a capacity that other things lack:
(P4) Belief-forming kinds have a capacity that other kinds lack.
Fifthly, believing anything depends on the existence of the capacity to form beliefs. Without this capacity, there would be no beliefs. Put another way, that a belief exists entails that the capacity to form beliefs exists. So:
(P5) The existence of a belief depends on the capacity to form beliefs.
Sixthly, therefore:
(P6) If I believe that P, then I have the capacity to form the belief that P.
Let us return, now, to (S3), and substitute:
(B1) It is true that (I have the capacity to believe) iff I believe that (I have the capacity to believe).
Let us assume that we can use the T-schema:
(T) It is true that P iff P
on the left hand side of (B1) to obtain:
(B2) I have the capacity to believe iff I believe that (I have the capacity to believe)
I will follow Kofi Bright and insist that this is not to attribute some strange causal power to the mind. It is not that my belief that I have the capacity to believe reaches out into the causal realm and creates my psychological structure but that, somehow, having that structure is constituted by having the belief that I have that structure:
(S4) That I have the capacity to believe is constituted by my belief that I have the capacity to believe.
Even this, however, seems wrong for it would entail that having the capacity to believe depends on the existence of a belief, but a belief cannot exist without the capacity, so the dependence runs the other way around. The capacity has logical and explanatory (if not causal) priority. To allow the existence of belief-forming capacity to be constituted by the existence of a belief is to conjure up something out of nothing: the belief exist which explains the existence of the capacity to believe, which makes no sense.
There are, of course, many places a subjectivist may try to block the argument, but none of them is particularly appealing:
1. S/He can reject the idea that we are biological creatures, products of our environment
2. S/He can insist that beliefs exist without the capacity to form beliefs
3. S/He can insist that even if A constitutes B, B can still have logical or explanatory priority over A.
4. S/He can reject whatever logic underlies moves such as those from (P5) to (P6)
5. S/He can insist that, as subjectivist, the subject cannot be expected to be subject to the same explanatory standards or requirements of anything else: we are sui generis.
In a sense, (1) and (5) amount to the same: the subjectivist, as a believer, is unlike or outside of the rest of nature, and indeed this can be seen even more clearly by substituting the proposition that I exist in (S3):
(S5) That I exist is constituted by my belief that I exist.
Here is the image of a belief conjuring the existence of the believer, not causally of course, but still: the dependence here is the wrong way around.
On the other hand, (2) would suggest that beliefs are not to be viewed as dependent on the believer: they are free-standing states, independent of a cognitive structure. So, rocks, soil, and stars might form beliefs after all.
With regard to (3) whatever constitution is, it must surely be a relation of some kind of priority such that the properties of the constituted kind depend on the constituting matter. If not, then it is hard to see what constitution could amount to, but I am willing to entertain suggestions.
Finally, there is no easy way to sum up how to respond to (4) because there are many non-standard logical systems, many of which may have much to be said in their favour. Still, I think it is safe to say that this shows that the subjectivist takes on some very strong commitments. After all, moves like that from (P5) to (P6) are simply applications of rules like universal instantiation, and if we must reject those to accept subjectivism, then subjectivism must have a very compelling defence, for otherwise we must simply ask: why not just reject subjectivism instead?
Thursday, 26 March 2020
Mind-Independence and Value
Wednesday, 18 March 2020
Special Relativity, Entropy, and the Direction of Time
Assuming that, as far as perception and experience are concerned, space is a three-dimensional, and time a one-dimensional, projection of a four-dimensional space-time, the following question arises: why does the brain, a material organ, break down a four-dimensional, relativistic space-time into three spatial dimensions and one temporal dimension? There is really only one answer that suggests itself, and it is that as biological products of natural selection our survival depends on tracking entropy: we need to find pockets of low entropy in order to discover sources of work that we may employ in order to maintain our own relatively low entropy, and since the entropic gradient is aligned along the temporal dimension, it is to our benefit to evolve to single out that dimension from the other three in order to focus on it and thereby be able to track entropy. That is, it is important to our survival that we find low entropy systems in order to secure energy.
This seems straightforward enough but it does, however, raise a deeper question: why is entropy organized along the temporal dimension alone; why not along another dimension, or two or more dimensions? Why did evolution find it necessary to endow us with perceptual and cognitive faculties that see the world as a three-dimensional array of material and objects that are evolving in a fourth dimension rather than some other way?
We know that in Minkowski space-time, neither spatial distances nor temporal durations have geometric significance on their own: only their combination in terms of Einstein’s Interval Formula:
has physical significance. What this entails is that there is no preferred set of spatial axes for the universe, no sense in which one can be right or wrong in labelling one direction “east” rather than “north” or “up” rather than “sideways”, and so on. All such spatial directions are significant only in relation to an observer; the universe itself doesn’t single out a particular direction in space.
Accordingly, if entropy increase were to be correlated with a spatial axis, it would be impossible for evolution to track it because it is impossible for physically real correlations to exist in relation to one or more spatial axes. The pattern of entropic increase would simply disappear from all spatial perspectives except one, i.e. from those corresponding to the rotation of the particular choice of axes. If a pattern is deeply dependent on a directional convention in this way, then there is no way for the non-directed, probabilistic processes of evolution to latch onto it, for there is, in reality, no probabilistic pattern to be detected: the pattern would be an observer effect, just like some works of art are constructed so that only when looked at directly is an image visible; all other angles show no discernible pattern - there is no pattern inherent to the image itself in such a case. In essence, if entropy were to be aligned with one or more spatial axes, the pattern of the second law of thermodynamics would simply disappear with movement in space, rendering impossible to have both freedom of movement and the ability to track entropy.
Given the non-directionality of space, entropy increase could not be aligned along any spatial dimension, so there could be no fitness relevant pressure to track any such gradient spatially. The only remaining option is that what we evolved to detect, namely the entropy gradient, is aligned with the fourth, temporal, dimension. But how could this be the case? According to (I), temporal duration frame-dependent – how much time there is between any two events will vary, though in such a way as to preserve the interval, I, between them. Moreover, the direction of time does not make an appearance in (I) since whether we put a positive or negative sign in front of the (frame-dependent) measure of time will make no difference to the interval because the value for time is squared in (I). This is one of the senses in which it is thought that Relativity counts against the common-sense notion that time passes from past to future.
If we leave things here, however, then we are faced with a problem: we know that entropy is coordinated with the temporal dimension, but if that dimension lacks an inherent direction, then there is no reason for entropy to uniformly increase or decrease along it: any such pattern would only be apparent, like a spatially oriented second law of thermodynamics, that exists only from some points of view. So if there is a genuine entropy gradient along the temporal dimension, which would account for our having evolved to single out time from space, then we must conclude that as a matter of fact, if not mathematical necessity, the fourth, temporal of the universe is inherently directed or asymmetric.
However, precisely because the temporal duration is squared in (I), it makes no difference to the mathematics of the interval to suppose that there is an objective, physically significant direction to time. In other words, even if there is a real difference between +t and -t, the interval will wash that out by squaring the value. So, the mathematics of Special Relativity is not impacted by the assumption that time is directed in the following sense: at each four-dimensional space-time point, a unique direction is defined, from the past light cone to the future. We can think of it as an array of vectors originating at the point and directed toward each point on the interior of one half of the light cone only; alternatively, we can state that between any two time-like separated space-time points, there exists a vector that defines the past-future orientation. This way, local temporal asymmetry is relativistically invariant and from the frame of reference of the surface of the Earth, there is a genuine pattern for the non-directed mechanisms of evolution to stumble upon and register for future iterations of variation-selection-inheritance.
In other words, the very fact that the four-dimensional, invariant Interval is broken down by the brain into a three-plus-one dimensional cognitive-perceptual model provides excellent reason to believe that the direction of time is not an illusion but, rather, a relativistic invariant.
Why does this matter? Well, it matters because there is a strong current of argumentation in the philosophy of time/physics to the effect that both the passage and direction of time are illusory, mere mental projections onto a fully symmetric underlying physical reality. If the foregoing argument is correct, then this is unlikely to be true simply because it would be unable to account for the fact that evolution reached a wide-spread and relatively stable equilibrium in constructing human beings to experience and understand the world as 3+1-dimensional rather than 4+0-, 2+2, or 1+3-dimensional. More fundamentally, it cannot account for the fact that entropy is aligned with any of the dimensions in (I) at all: if there is no fact of the matter as to which direction in space-time is locally future-oriented, there would be no entropic gradient in the first place for evolution to eventually track. In other words, without an objective temporal direction, there could be no entropic gradient at all since from one temporal perspective the universe would consist of mostly improbable transitions and that perspective would have to be considered equally valid compared to the opposite perspective in which probable transitions are the rule. But any viewpoint according to which a highly probable and highly improbable set of transitions need to be considered equally valid must surely be incorrect.
So, it seems that the best way to view the implications of Relativity Theory for the debate over the nature of time is that it combines with the theory of evolution to suggest that Einstein-Minkowski space-time includes a temporally oriented vector field defined at every space-time point that determines the future light cone from that point. The vectors themselves are perhaps to be viewed as unit vectors with frame-dependent lengths determined by the time-dilation implied by Lorenz Transformations.
The upshot for the philosophy of time is that a naturalistic picture of time that combines Einstein-Minkowski space-time with Darwinian evolution is not only compatible with asymmetric, i.e. directed, time but in fact demands it. In short, the direction of time is not an illusion. Furthermore, so long as we can define temporal passage in terms of directed temporal ordering, then this view is compatible with objective temporal passage as well. Since, as I’ve argued elsewhere, there is no problem with a deflationary, relational conception of temporal passage, we can conclude that the Theory of Relativity is no threat to the idea that time genuinely passes from the past toward the future.
Wednesday, 22 January 2020
Understanding as an Alethic Concept
One of the ways in which I have defended the value of the humanities is by reference to understanding, as in “the humanities help to improve our understanding of ourselves and our environment, and this is important”. This is both initially plausible and helps to lay out a kind of value that is distinct from the gathering of knowledge, which the sciences seem to do better than the humanities.
One advantage of taking this route is that “understanding” is a rather wide-ranging term that has many meanings, so people can import various, positive, interpretations into the phrase “improve our understanding”. This is, of course, also a disadvantage, for it renders the basic defence ambiguous. So what does it mean to say that the humanities improve our understanding?
Among the rather familiar and straightforward meanings of “understanding” we could list:
· The knowledge of linguistic meaning: e.g. “x understands English”
· A sympathetic or gentle approach or demeanour: “x was very understanding of y’s situation”
· An informal agreement: “x and y came to an understanding”
· A belief state that is the result of inference or observation: “I understand that you have changed jobs”
· An assumption, perhaps unspoken or hidden: “it is understood that everyone will speak respectfully at department meetings”
· A cognitive ability: “it is impossible for non-human animals to understand that moral obligations exist.”
When it comes to the value that humanities offer, I think, however, that the best meaning is something along these lines:
· To understand something, P, is to realize or learn the significance of P; e.g. “I understand that this is a very complex issue that impacts x, y, and, z and will require further investigation”
That seems to capture what the humanities are after: to discover and impart methods, tools, writings, interpretations, and arguments that will allow us to learn something of significance about something, which may be that that something is in fact significant. So, understanding, will result when some argument or analysis makes clear to us: (1) that P is significant/important; or (2) what is significant/important about P.
This indicates that understanding is similar in certain respects to explanation. An explanation, E, of P makes P clear to us or, as I would say, enables us to see why or that P is true, either by entailing P, rendering P probable, or fitting P coherently into our prior body of knowledge.
In the case of explanation, however, E can explain P even if E is false. For example, Aristotle explained why material bodies sink in water by appeal to (1) hylomorphism, which includes the claim that bodies (“substances”) include an immanent form; (2) a theory of space that is structured formally, with “earth” at the center, surrounded by, in order, “water”, “air”, and “fire”; and (3) a principle which states that anything with form F will naturally seek space that is F. Given (1) – (3) it follows that rocks, “earth”, will sink because the “earth” form of space is below the “water” part. So, (1) – (3) are explanatory.
They are not, however, true. Accordingly, I suggest, Aristotle’s explanation cannot provide us with any understanding of the motions of bodies. In particular, it cannot offer any additional understanding than what was contained in the prior observation that rocks fall in water, fire rises in air, and so on. Aristotle’s attempt to move from those straightforward observations to a systematic elucidation of what is going on when bodies move ultimately fails for the simple reason that it is, so we currently believe, false: we no longer accept his account of the structure of space and reject his formal account of attraction (bodies don’t naturally move, we think, but instead naturally continue in their current state). So even though Aristotelian physics neatly explains motion in virtue of providing a set of propositions that entails a great deal of what we observe, it does not offer understanding of motion. This is, of course, not unique: it is straightforward to construct a set of propositions that are false but entail or make probable some other proposition that is known to be true.
Let’s consider a made-up case in which x is afraid of the dark and posits that this was caused by x’s abduction by extraterrestrials one night years ago, which left a deep-seated fear that is brought to the surface in the dark. This would explain the fear: the proposition that x was abducted combined with the proposition that this was traumatic and that trauma can leave a lasting fear that is associated with the time of day during which the initial event occurred, entails or renders probable a current fear. However, x does not in fact understand why the fear exists, if the abduction never occurred. Further, a non-occurrent event cannot increase x’s awareness of the significance or importance of the fear: the abduction proposition adds nothing on that score either (no more than supposing x’s fear is caused by unicorns or magic).
What this suggests is that the understanding sought by the humanities is in fact an alethic concept: whatever it is that increases understanding must be true. The same applies for a good explanation, so understanding is something like a good or correct explanation of the significance of something.
If this is right, then it immediately raises a question: how can the humanities improve our understanding if they do not either: (1) discover the truth, at least in part; or (2) apply truth-preserving methods to previously discovered truths? In the absence of truth, there can be no understanding, so the humanities must either be able to determine the truth or else take the truth and derive something from it that clarifies the importance of something.
In the latter case, this process of derivation must be truth preserving or probability/coherence increasing; otherwise it will not in fact increase our understanding. It may of course be possible to do something in addition to determining the truth or an alethic consequence from what is known. That is, the process of increasing understanding may involve deriving something, P, from something known as well as situating this truth in some kind of context that is enlightening. But again, if this context is not factual, situating a truth in it cannot improve our understanding, so there is a kind of alethic constraint at all stages of the process.
So, if all this is roughly along the right lines, then any humanities project aimed at improving understanding must, at least in part, either discover the truth or else work with the truth to derive further truths that are significant or can be contextualized with other truths in such a way as to produce an improvement in our awareness of the significance or importance of something, which must also be of genuine or true significance, for otherwise we have no understanding (if something isn’t truly significant, then we cannot really understand its significance.)
In short, if we want to improve our understanding of P, then:
1. P must be true
2. The theory (story/account/proposition/…), T, that improves the understanding of P must be true
3. T must have some truth preserving or probability raising relation to P (otherwise it cannot help us see that/why P is true)
4. T may also do more than (3): for example it ay relate P to a context, C, or another understood proposition, Q.
5. If (4), then C or Q must be true as well.
I don’t, in other words, see how the appeal to “understanding”, in the defence of the value of the anything, gets a discipline off the hook of either being truth-producing or at least truth-preserving. So, any field that aims at understanding must employ methods that have one or both of these properties. This, of course, includes the humanities.
One worry about (1) – (5) above is whether it is compatible with a robust notion of fictional truth, i.e. one in which fictional propositions can be literally and directly true, as in “that Centaurs have four legs is true” instead of “that Geek myth-makers said that Centaurs have four legs is true”. If one takes it to be true that Centaurs have four legs, then presumably we could offer a study to increase our understanding of Centaurs themselves, which seem never to have existed, rather than our understanding of their story-tellers, which do or did exist. This seems awkward. I am not sure how much of a problem any of this is, but it seems to me to have a rather felicitous implication: there is reason to adopt an indirect account of fictional truth in which propositions about fictional entities are in fact about the acts and thoughts of writers and story-tellers, in which case the study of mythology can aid in our understanding insofar as it aids in our understanding of human beings who make up tales and the societies and times in which they live. This seems perfectly respectable, so long as it is alethic in the ways mentioned above.