Roy Sorensen

Positive thinkers love Watty Piper's The little engine that could. The story features a train laden with toys for deserving children on the other side of the mountain. After the locomotive breaks down, a sequence of snooty locomotives come up the track. Each engine refuses to pull the train up the mountain. They are followed by a weary old locomotive that declines, saying "I cannot. I cannot. I cannot." But then a bright blue engine comes up the track. He manages to chug over the mountain by averring "I think I can. I think I can. I think can.".

An electoral evaluation of a set of expert opinions proceeds by treating the experts as voters. Although this method allows us to formalise our naive views about how to take expert advice, the formalisations are plagued by paradoxes which parallel those found in literature on social aggregation devices. This parallel suggests that our naive views about taking expert advice are in as much need of revision as our naive views about deriving group preferences from individual preferences. * I am indebted to Joseph Hanna for a number of criticisms and corrections to a previous draft.

A para-reflection is a privational phenomenon that is often mistaken for a reflection. You have seen them as the ‘reflection’ of your pupil in the mirror. Your iris reflects light in the standard way but your pupil absorbs all but a negligible amount of light (as do other dark things such as coal and black velvet). Para-reflections work by contrast. Since they are parasitic on their host reflections, para-reflections are relational and dependent in a way that reflections are not. Nevertheless, para-reflections obey nearly all the laws of reflection with exquisite fidelity. Para-refractions display parallel obedience to the laws governing refraction. Physicists and psychologists who study optics have neglected these everyday phenomena. Happily, physicists have been attentive and insightful about other privational phenomena such as vacuums and cold spots. I conclude that this kind of subtle treatment of negative things needs to be extended to optics. 1 The invisible red herring 2 Mind-independent privations 3 Para-reflections are mind-independent 4 Parasitical entities 5 Para-refractions and shadows 6 How science has coped with privations.

Ockham's razor is popularly phrased as a prohibition against multiplying entities beyond necessity. This prohibition should extend to the receptacle for these entities. To state my thesis more positively and precisely, both qualitative and quantitative parsimony apply to space, time, and possibility. All other things equal, we ought to prefer a hypothesis that postulates less space. Smaller is better. Admittedly, scientists are ambivalent about economizing on the void. They praise simplicity. Yet astronomers have a history of helping themselves to as much empty space as they wish—staggering common sense with the vastness of the universe. This largesse is abetted by an aesthetic bias for sublime hypotheses. Whereas abductions based on beauty converge with parsimony, abductions based on the sublime diverge from parsimony. Awe stifles our inner accountant. Both types of abduction are popular. Both are dubious because we lack independent assurance that the universe is beautiful or sublime. The analogy between space and time supports an extension of parsimony to time. Uniformitarian geologists regarded time as a free resource. However, geologists and cosmologists must justify their postulation of an immense past. Possibility follows suit. Contrary to David Lewis, possible worlds should be minimized. Parsimony about possibilities provides a rationale for parsimony about absences. Absences are possibilities that are not actual. So proliferation of absences entails proliferation of possibilities. We should admit only those absences which do explanatory work.

When Bertrand Russell alerted Gottlob Frege to an inconsistency in his Grundgesetze, Frege relinquished deep commitments. When Edward Evans-Pritchard alerted the Azande to an inconsistency in their beliefs about witchcraft inheritance, they did not revise their beliefs. Nor did they engage in the defensive maneuvers depicted in Plato’s dialogues. Evans-Pritchard characterized their indifference to contradiction as irrational. My historical thesis is that the ensuing anthropological debate mirrors the debate about the sorites paradox. I favor a simple explanation of this parallelism: Evans-Pritchard’s witchcraft inheritance argument is a sorites argument—albeit in a form masked by the different ontologies of the Azande and Evans-Pritchard. Evans-Pritchard failed to recognize his witchcraft inheritance argument as a sorites paradox because he was witchcraft nihilist in a community of witchcraft realists. My general conjecture is that many of the irrationalities that seem distinctive of alien cultures are actually paradoxes that are universal. The irrationality of the aliens is real and profound; it is just not distinctive of those aliens or their cultures. The universality of the irrationality helps to explain Evans-Pritchard’s surprising success at understanding the Azande. Since he shares their core irrationality, Evans-Pritchard could simulate Azande thinking. Although I am attributing an anthropological illusion to Evans-Pritchard, I think it is one that coheres nicely with his compelling account of Azande. I am a conservative follower of Evans-Pritchard, trying to debug his research programme. I endorse all of his central doctrines and I rely on his insights

In ”Formal Problems about Knowledge,” Roy Sorensen examines epistemological issues that have logical aspects. He uses Fitch's proof for unknowables and the surprise test paradox to illustrate the hopes of the modal logicians who developed epistemic logic, and he considers the epistemology of proof with the help of the knower paradox. One solution to this paradox is that knowledge is not closed under deduction. Sorensen reviews the broader history of this maneuver along with the relevant alternatives model of knowledge which assumes that ”know” is an absolute term like ”flat.” Sorensen argues that the difference between epistemic absolute terms and extensional absolute terms gives rise to an asymmetry that undermines recent claims that there is a structural parallel between the supervaluational and epistemicist theories of vagueness, and he suggests that we have overestimated the ability of logical demonstration to produce knowledge.

Stepping into the other guy's shoes works best when you resemble him. After all, the procedure is to use yourself as a model: in goes hypothetical beliefs and desires, out comes hypothetical actions and revised beliefs and desires. If you are structurally analogous to the empathee, then accurate inputs generate accurate outputs-just as with any other simulation. The greater the degree of isomorphism, the more dependable and precise the results. This sensitivity to degrees of resemblance suggests that the method of empathy works best for average people. The advantage of being a small but representative sample of the population will create a bootstrap effect. For as average people prosper, there will be more average descendants and so the degree of resemblance in subsequent generations will snowball. Each increment in like-mindedness further enhances the reliability and validity of mental simulation. With each circuit along the spiral, there is tighter and tighter bunching and hence further empowerment of empathy. The method is self-strengthening and eventually molds a population of hyper-similar individuals-which partly solves the problem of other minds

Smartfounding is the opposite of “dumbfounding” introduced by Jonathan Haidt’s research on disgust. Dumbfounders have general competence at thought experiment. However, they are flustered by thought experiments that support repugnant conclusions. Instead of following the supposition wherever it leads, they avoid unsettling implications by adding extraneous information or ignoring stipulated conditions. The dumbfounded commit performance errors, often seeming to regress to the answers of people who lack formal schooling. Smartfounders retain their composure. They practice subversive compliance, obeying the instructions in a way that spoils the aim of the thought experiment. Smartfounders offer a more sophisticated grade of resistance to thought experiment. Whereas the lower grades of resistance are merely fallacious, smartfounding often constitutes a penetrating internal critique of the thought experiment and sometimes of thought experiments in general.