In his classic book “the Foundations of Statistics” Savage developed a formal system of rational decision making. The system is based on (i) a set of possible states of the world, (ii) a set of consequences, (iii) a set of acts, which are functions from states to consequences, and (iv) a preference relation over the acts, which represents the preferences of an idealized rational agent. The goal and the culmination of the enterprise is a representation theorem: Any preference relation that (...) satisfies certain arguably acceptable postulates determines a (finitely additive) probability distribution over the states and a utility assignment to the consequences, such that the preferences among acts are determined by their expected utilities. Additional problematic assumptions are however required in Savage's proofs. First, there is a Boolean algebra of events (sets of states) which determines the richness of the set of acts. The probabilities are assigned to members of this algebra. Savage's proof requires that this be a σ-algebra (i.e., closed under infinite countable unions and intersections), which makes for an extremely rich preference relation. On Savage's view we should not require subjective probabilities to be σ-additive. He therefore finds the insistence on a σ-algebra peculiar and is unhappy with it. But he sees no way of avoiding it. Second, the assignment of utilities requires the constant act assumption: for every consequence there is a constant act, which produces that consequence in every state. This assumption is known to be highly counterintuitive. The present work contains two mathematical results. The first, and the more difficult one, shows that the σ-algebra assumption can be dropped. The second states that, as long as utilities are assigned to finite gambles only, the constant act assumption can be replaced by the more plausible and much weaker assumption that there are at least two non-equivalent constant acts. The second result also employs a novel way of deriving utilities in Savage-style systems -- without appealing to von Neumann-Morgenstern lotteries. The paper discusses the notion of “idealized agent" that underlies Savage's approach, and argues that the simplified system, which is adequate for all the actual purposes for which the system is designed, involves a more realistic notion of an idealized agent. (shrink)

Many philosophers in the field of meta-ethics believe that rational degrees of confidence in moral judgments should have a probabilistic structure, in the same way as do rational degrees of belief. The current paper examines this position, termed “moral Bayesianism,” from an empirical point of view. To this end, we assessed the extent to which degrees of moral judgments obey the third axiom of the probability calculus, ifP(A∩B)=0thenP(A∪B)=P(A)+P(B), known as finite additivity, as compared to degrees of beliefs on the one (...) hand and degrees of desires on the other. Results generally converged to show that degrees of moral judgment are more similar to degrees of belief than to degrees of desire in this respect. This supports the adoption of a Bayesian approach to the study of moral judgments. To further support moral Bayesianism, we also demonstrated its predictive power. Finally, we discuss the relevancy of our results to the meta-ethical debate between moral cognitivists and moral non-cognitivists. (shrink)

Savage's framework of subjective preference among acts provides a paradigmatic derivation of rational subjective probabilities within a more general theory of rational decisions. The system is based on a set of possible states of the world, and on acts, which are functions that assign to each state a consequence€. The representation theorem states that the given preference between acts is determined by their expected utilities, based on uniquely determined probabilities (assigned to sets of states), and numeric utilities assigned to consequences. (...) Savage's derivation, however, is based on a highly problematic well-known assumption not included among his postulates: for any consequence of an act in some state, there is a "constant act" which has that consequence in all states. This ability to transfer consequences from state to state is, in many cases, miraculous -- including simple scenarios suggested by Savage as natural cases for applying his theory. We propose a simplification of the system, which yields the representation theorem without the constant act assumption. We need only postulates P1-P6. This is done at the cost of reducing the set of acts included in the setup. The reduction excludes certain theoretical infinitary scenarios, but includes the scenarios that should be handled by a system that models human decisions. (shrink)

We examine dialectical tensions between “dialogue” and “narrative” as these discourses supplant one another as the fundamental discourse of intelligibility, through juxtaposing two interpretations of Genesis 38 rooted in changing interpretative paradigms. Is dialogue properly understood as a narrative genre, or is narrative the content about which people are in dialogue? Is the divine–human relationship a narrative drama or is it a dialogue between a god and human beings? We work within parameters laid out by the philosophical hermeneutics of Gadamer (...) (primarily representing dialogue) and Ricoeur (primarily representing narrative). On the one hand, a feminist approach can develop Tamar as a courageous hero in impossible circumstances, strategizing to overturn Judah’s patriarchal naïveté. On the other hand, Judah seems to be able to be read as a tragic hero, seeking to save Tamar. These readings challenge one another, where either Tamar’s or Judah’s autonomy is undermined. By putting these interpretations into dialogue, our aim is to show that neither dialogue nor narrative succeeds the other with finality, and that we can achieve a fragile integration of the two (dialogue and narrative) despite their propensity toward polarization. (shrink)

In a new study, Ben-Haim et al. use subliminal stimuli to separate conscious and unconscious perception in macaques. A programme of this type, using a range of cognitive tasks, is a promising way to look for conscious perception in more controversial cases.

Studying the neural correlates of conscious awareness depends on a reliable comparison between activations associated with awareness and unawareness. One particularly difficult confound to remove is task performance capacity, i.e. the difference in performance between the conditions of interest. While ideally task performance capacity should be matched across different conditions, this is difficult to achieve experimentally. However, differences in performance could theoretically be corrected for mathematically. One such proposal is found in a recent paper by Lamy, Salti and Bar-Haim (...) [Lamy D, Salti M, Bar-Haim Y. Neural correlates of subjective awareness and unconscious processing: an ERP study. J Cognitive Neurosci 2009,21:1435-46], who put forward a corrective method for an electroencephalography experiment. We argue that their analysis is essentially grounded in a version of High Threshold Theory, which has been shown to be inferior in general to Signal Detection Theory. We show through a series of computer simulations that their correction method only partially removes the influence of perfor- mance capacity, which can yield misleading results. We present a mathematical correction method based on Signal Detection Theory that is theoretically capable of removing performance capacity confounds. We discuss the limitations of mathemati- cally correcting for performance capacity confounds in imaging studies and its impact for theories about consciousness. (shrink)

The history of the interpretation of Psalm 46 has been articulated around the search for its context. Some commentators have sought to pin its historical circumstance to certain events in Israel's past, such as the siege of Sennacherib's army over Judah or a major geological event such as an earthquake. Others have asserted that the author of the Psalm did not have in mind a past event, but a future one, namely, a time of peace and cessation of wars. (...) But is this search for the context of the author's day really essential for the modern reader? Shouldn't the diligent reading of any text culminate in merging the past with the present?And, finally, shouldn't the reader's horizons be called into question when interpreting a text? This research will seek to analyze these questions from the dialogue with authors such as Franz Delitzsch, Hermann Gunkel, Hans Georg Gadamer, G. Heinrich Ewald and Arie Folger; authors who contributed to the reflection of this research. -/- . (shrink)

This short article provides intriguing evidence that the Bible was encoded by its original redactors. It then proposes innovative interpretations of some of the Bible's important words and stories.

The Name Yahuah, is used frequently in the new article below. -/- A Slave Trade Commentary: eyes white open - Y`anah Kathath This article can be found at this address: https://evidenceforthename.wordpress.com/2015/11/17/a-slave-trade-commentary-eyes-white-open/.