Unicorn Atheism

Kripshe treats `god’ as an empty natural kind term such as `unicorn’. She applies Saul Kripke's fresh views about empty natural kinds to `god’. Metaphysically, says Kripshe, there are no possible worlds in which there are gods. Gods could not have existed, given that they do not actually exist and never did. Epistemologically, godlessness is an a posteriori discovery. Kripshe dismisses the gods in the same breath that she dismisses mermaids. Semantically, the perspective Kripshe finds most perspicacious, no counterfactual situation is properly describable as one in which there are gods. Perhaps it is not quite a necessary truth that there are no gods. According to Saul Kripke, failed natural kind terms are ill‐defined. Incorporating ill‐defined terms into declarative sentences yields only mock propositions. Just as the meteorologist has no professional interest in mock thunder, the logician has no professional interest in mock propositions. Kripshe disagrees with agnostics who assign a low probability to `There is at least one god’. The bearers of probabilities must be propositions. Despite this deference to science, Kripshe agrees with the a priori atheist that, necessarily, no future experience could constitute an encounter with a god. Divine revelation is impossible. Kripshe's a posteriori necessary atheism compares favorably to familiar forms of atheism and to non‐cognitivists. It reveals interesting challenges to a coherent formulation of atheism.     

Arbitrary reference

Two fundamental rules of reasoning are Universal Generalisation and Existential Instantiation. Applications of these rules involve stipulations (even if only implicitly) such as ??Let n be an arbitrary number?? or ??Let John be an arbitrary Frenchman??. Yet the semantics underlying such stipulations are far from clear. What, for example, does ??n?? refer to following the stipulation that n be an arbitrary number? In this paper, we argue that ??n?? refers to a number??an ordinary, particular number such as 58 or 2,345,043. Which one? We do not and cannot know, because the reference of ??n?? is fixed arbitrarily. Underlying this proposal is a more general thesis: Arbitrary Reference (AR): It is possible to fix the reference of an expression arbitrarily. When we do so, the expression receives its ordinary kind of semantic-value, though we do not and cannot know which value in particular it receives. Our aim in this paper is defend AR. In particular, we argue that AR can be used to provide an account of instantial reasoning (one that is better than the prominent alternatives), and we suggest that AR can also figure in offering new solutions to a range of difficult philosophical puzzles.     

Hobbes’s materialism and Epicurean mechanism

ABSTRACT

Hobbes belonged to philosophical and scientific circles grappling with the big question at the dawn of modern physics: materialism and its consequences for morality. ‘Matter in motion’ may be a core principle of this materialism but it is certainly inadequate to capture the whole project. In wave after wave of this debate the Epicurean view of a fully determined universe governed by natural laws, that nevertheless allows to humans a sphere of libertas, but does not require a creator god or teleology to explain it, comes up against monotheism and its insistence on the incoherence of an ordered world in the absence of a God and his purposes. The following questions were central to this debate: (1) Can we understand the universe as law-governed in the absence of a god? (2) If so, what room is there in a fully determined mechanical universe for human freedom? (3) If humans do enjoy freedom, does the same hold for other animals? (4) Is this freedom compatible with standard views of morality? (5) Is there an analogue between the material world as law-governed and human social order? (6) If so does it also obtain for other animals?     

Ordinal test fidelity estimated by an item sampling model

A test theory using only ordinal assumptions is presented. It is based on the idea that the test items are a sample from a universe of items. The sum across items of the ordinal relations for a pair of persons on the universe items is analogous to a true score. Using concepts from ordinal multiple regression, it is possible to estimate the tau correlations of test items with the universe order from the taus among the test items. These in turn permit the estimation of the tau of total score with the universe. It is also possible to estimate the odds that the direction of a given observed score difference is the same as that of the true score difference. The estimates of the correlations between items and universe and between total score and universe are found to agree well with the actual values in both real and artificial data.Part of this paper was presented at the June, 1989, Meeting of the Psychometric Society. The authors wish to thank several reviewers for their suggestions. This research was mainly done while the second author was a University Fellow at the University of Southern California.     

Is Theism a Simple,and hence Probable,Explanation for the Universe?

Abstract

Richard Swinburne, in his The Existence of God (2004), presents a cosmological argument in defence of theism (Swinburne 1991: 119, 135). God, Swinburne argues, is more likely to bring about an ordered universe than other states (ibid.: 144, 299). To defend this view, Swinburne presents the following arguments: (1) That this ordered universe is a priori improbable (2004: 49, 150, 1991: 304 et seq.), given the stringent requirements for life (cf. also Leslie 2000: 12), and the Second Law of Thermodynamics (Giancoli 1990: 396); (2) That it seems as if this ordered universe can be explained by theism; (3) A theistic explanation for the universe is more probable because it is a simple explanation. To this end, Swinburne makes use of Bayes’ Theorem. Symbolically, this claim can be represented as (e) for the evidence of the existence of a complex universe, and (h) for a hypothesis. Swinburne’s argument is that theism has a higher prior probability, P(h_theism) > P(h_materialism), since theism is simpler than materialism. He concludes that P(e|h_theism) > P(e|h_materialism). In this paper I will address only this argument (3) above, and defend the view that it is false: theism is not simpler than materialism, nor it is more probably true. I conclude that theism is less probable than materialism, expressed by P(h_theism) < P(h_materialism) : 2/N(2n+1) < 1/n, where N is the number of possible universes and n the number of entities in existence.     

WISDOM,MODERATION, AND ELENCHUS IN PLATO'S APOLOGY

Abstract: This article contends that Socratic wisdom (sophia) in Plato's Apology should be understood in relation to moderation (sophrosune), not knowledge (episteme). This stance is exemplified in an interpretation of Socrates' disavowal of knowledge. The god calls Socrates wise. Socrates holds both that he is wise in nothing great or small and that the god does not lie. These apparently inconsistent claims are resolved in an interpretation of elenchus. This interpretion says that Socrates is wise insofar as he does not believe himself to know what he does not know. Whether one knows is demonstrated through elenchus, which moderates between knowledge claims. Thus, elenchus is productive of a kind of wisdom even if it does not produce knowledge. This claim, if true, forms a suitable basis for Socrates' defense of himself. That it does so serves as further evidence for the interpretation of sophia as sophrosune.     

Some Paradoxical Results for the Quadratically Weighted Kappa

The quadratically weighted kappa is the most commonly used weighted kappa statistic for summarizing interrater agreement on an ordinal scale. The paper presents several properties of the quadratically weighted kappa that are paradoxical. For agreement tables with an odd number of categories n it is shown that if one of the raters uses the same base rates for categories 1 and n, categories 2 and n−1, and so on, then the value of quadratically weighted kappa does not depend on the value of the center cell of the agreement table. Since the center cell reflects the exact agreement of the two raters on the middle category, this result questions the applicability of the quadratically weighted kappa to agreement studies. If one wants to report a single index of agreement for an ordinal scale, it is recommended that the linearly weighted kappa instead of the quadratically weighted kappa is used.     

God meets Satan’s Apple: the paradox of creation

It is now the majority view amongst philosophers and theologians that any world could have been better. This places the choice of which world to create into an especially challenging class of decision problems: those that are discontinuous in the limit. I argue that combining some weak, plausible norms governing this type of problem with a creator who has the attributes of the god of classical theism results in a paradox: no world is possible. After exploring some ways out of the paradox, I conclude that the classical theist should accept Marilyn Adams’s view that no norms (of morality or of rationality) apply to gods.     

“Four Gods” in Maximum Security Prison: Images of God,Religiousness, and Worldviews Among Inmates

This paper extends research on images of God, which prior researchers based mostly on national survey data, to a study of offenders in prison. We first explore whether the distribution of Froese and Bader’s (America’s four gods: What we say about god–& what that says about us, Oxford University Press, New York 2010) four images of God among prison inmates is similar to that in the general population. We then examine whether an inmate’s image of God is associated with the inmate’s worldviews: beliefs and attitudes toward the law, other inmates, moral responsibility, and ultimate meaning and purpose in life. Finally, we test whether an inmate’s belief in a forgiving God and religiousness explain the association. We analyzed data from a survey of 2249 inmates at America’s largest maximum-security prison, the Louisiana State Penitentiary. We found the distribution of God-images among inmates was the same as that in national samples in terms of rank order. As hypothesized, we also found inmates with an image of an engaged God tended to report lower levels of legal cynicism and sense of illegitimacy of punishment and higher levels of collective efficacy, existential belief, and moral responsibility than those with images of a disengaged God or no God. Finally, we found an inmate’s belief in a forgiving God and religiousness to mediate partly relationships between images of God and the inmate’s worldviews.     

A Noneist Account of the Doctrine of Creatio ex Nihilo

I spell out a problem with the doctrine of creatio ex nihilo: that, contra the doctrine, it is not possible to efficiently cause something from nothing. This is because an efficient cause requires a material cause in order to have an effect. The material cause supplies the potency that the efficient cause actualises. Because nothingness has no potencies, there is nothing for an efficient cause to actualise. I show that this objection presupposes that the theory of noneism (the proposition that some things do not exist) is false. I postulate that the universe (i.e. the created order) is a non-existent item and so there is no problem with the claim that it was efficiently caused to come from nothing – the universe has no being anyway. After rehearsing the rather strong reasons in favour of the truth of noneism, I deal with two objections that are peculiar to my claim that the universe lacks reality: that creation possesses characteristics that are sufficient to render it existent and that a non-existent object has its properties independent of divine fiat. I show that there are sensible replies to both objections. With regard to the first I show that the possession of such characteristics at most shows that the universe has an ontological status that is equivalent to some reference point. With regard to the second I argue that the Characterisation Principle (i.e. in some world – not necessarily the actual world – an object has the properties that it is characterised as having) entails that non-existent objects possess their properties in virtue of some existent entity and that the only plausible candidate for such an entity is a divine mind of some sort.     

Multilinear representations for ordinal utility functions

An ordinal utility function u over two attributes X₁, X₂ is additive if there exists a strictly monotonic function ϕ such that ϕ(u) = v₁(x₂) + v₂(x₂) for some functions v₁, v₂. Here we consider the class of ordinal utility functions over n attributes for which each pair of attributes is additive, but not necessarily separable, for any fixed levels of the remaining attributes. We show that while this class is more general than those that are ordinally additive, the assessment task is of the same order of difficulty, and involves a hierarchy of multilinear rather than additive decompositions.     

The Devil's Dilemma in Flaubert' Saint Antony

In La Téntation de Saint Antoine Gustave Flaubert dramatizes a philosophical exchange about the nature of divine providence and the efficacy of petitionary prayer. The Devil and Antony consider the question of whether God can be called upon for relief from suffering. The Saint assumes as popular religion teaches that it is possible to ask for God's help in emergency situations, while the Devil poses a dilemma to challenge Antony's faith. The Devil seeks to expose contradictions in some of the beliefs Antony holds about God's infinite perfection. The Devil's argument purports to prove that God is not a person, and that for this reason God is inaccessible to human interaction. The Devil's dilemma is supposed to be this:
(1) If God as an infinitely perfect being created the universe, then divine providence is not needed [does not exist].
(2) If divine providence is needed [exists], then the universe is defective [not the creation of God as an infinitely perfect being].
Although these look at first to be the opposite poles of an excluded middle, propositions (1) and (2) are mere contrapositives. Since the Devil's propositions (1) and (2) are logically equivalent, the Devil can only proceed to the conclusion that God does not exist or that divine providence is not needed or does not exist paradoxically by assuming that God exists or that divine providence is needed or exists. Yet if divine providence is needed or exists, then God exists as its divine source. If the Devil is supposed to succeed by logic, his dilemma as Flaubert portrays it is powerless to prove that the only reasonable religious attitude is an impassionate metaphysical acknowledgement of the existence of an impersonal infinitely perfect Substance, which is absolute unchanging unmoveable Being.     

Perceiving and desiring: a new look at the cognitive penetrability of experience

This paper considers an orectic penetration hypothesis (OPH) which says that desires and desire-like states may influence perceptual experience in a non-externally mediated way. This hypothesis is clarified with a definition, which serves further to distinguish the interesting target phenomenon from trivial and non-genuine instances of desire-influenced perception. Orectic penetration is an interesting possible case of the cognitive penetrability of perceptual experience. The OPH is thus incompatible with the more common thesis that perception is cognitively impenetrable. It is of importance to issues in the philosophy of mind and cognitive science, epistemology, and general philosophy of science. The plausibility of orectic penetration can be motivated by some classic experimental studies, and some new experimental research inspired by those same studies. The general suggestion is that orectic penetration thus defined, and evidenced by the relevant studies, cannot be deflected by the standard strategies of the cognitive impenetrability theorist.     

Revising Benardete’s Zeno

The majority of disucssions of Benardete’s Paradox conclude that the traveller approaching the infinite series of gods will be mysteriously halted despite none of the gods erecting any barriers. Using a revision-theoretic analysis of Benardete’s puzzle, four distinct possible outcomes that might occur given Benardete’s set-up are distinguished. This analysis provides additional insight into the puzzle at hand, via identifying heretofore unnoticed possible outcomes, but it also serves as an example of how the revision theoretic framework can be used to construct exhaustive taxonomies of potential outcomes in apparently contradictory situations.

     

Determinism and the Paradox of Predictability

The inference from determinism to predictability, though intuitively plausible, needs to be qualified in an important respect. We need to distinguish between two different kinds of predictability. On the one hand, determinism implies external predictability, that is, the possibility for an external observer, not part of the universe, to predict, in principle, all future states of the universe. Yet, on the other hand, embedded predictability as the possibility for an embedded subsystem in the universe to make such predictions, does not obtain in a deterministic universe. By revitalizing an older result—the paradox of predictability—we demonstrate that, even in a deterministic universe, there are fundamental, non-epistemic limitations on the ability of one subsystem embedded in the universe to predict the future behaviour of other subsystems embedded in the same universe. As an explanation, we put forward the hypothesis that these limitations arise because the predictions themselves are physical events which are part of the law-like causal chain of events in the deterministic universe. While the limitations on embedded predictability cannot in any direct way show evidence of free human agency, we conjecture that, even in a deterministic universe, human agents have a take-it-or-leave-it control over revealed predictions of their future behaviour.     

On the calculus ratiocinator

The project, entertained by Leibniz and others, of creating an ideal language to facilitate ratiocination, is investigated in detail. Six possible relations between the ideal language (IL) and the natural language (NL) it replaces are studied. (1) IL says exactly what NL says, but says it much more clearly. (2) IL says exactly what NL says, but does so more economically. (3) IL says exactly what NL says, but does so more succinctly. (4) IL says part of what NL says, and says it more perspicuously. (5) IL says part of what NL says, and says it more perspicuously; moreover, there is an effective procedure for going from NL to IL. (6) IL says everything that NL says, plus some things that NL cannot say.