We consider a deterministic rewrite system for combinatory logic over combinators , and . Terms will be represented by graphs so that reduction of a duplicator will cause the duplicated expression to be "shared" rather than copied. To each normalizing term we assign a weighting which is the number of reduction steps necessary to reduce the expression to normal form. A lambda-expression may be represented by several distinct expressions in combinatory logic, and two combinatory logic expressions are considered equivalent if (...) they represent the same lambda-expression (up to --equivalence). The problem of minimizing the number of reduction steps over equivalent combinator expressions (i.e., the problem of finding the "fastest running" combinator representation for a specific lambda-expression) is proved to be NP-complete by reduction from the "Hitting Set" problem. (shrink)

The philosopher Donald Davidson has argued in an influential article, “On the Very Idea of a Conceptual Scheme,” that there is no intelligible basis on which to distinguish between conceptual schemes that Kuhn and Feyerabend have treated as incommensurable or incompatible. He concludes that, given the underlying methodology of interpretation of speech behavior, we cannot be in a position to judge that others have concepts or beliefs radically different from our own. Thus, he adds, we cannot talk meaningfully about the (...) existence of conceptual schemes. I offer a historical rejoinder to Davidson, focusing on the famous seventeenth-century debate between Descartes and Gassendi regarding the use of the first-person pronoun. I show that, in this particular debate, their failure to translate the pronoun “I” was so basic and fundamental a failure that, although it turned on just one word, it forced Gassendi to question the longstanding Renaissance humanist principle of the intertranslatability of all natural languages. Could the Gassendi-Descartes debate similarly challenge Davidson’s assertion of the intertranslatability of all natural languages and his consequent denial of the existence of conceptual schemes? (shrink)

The failure of Bell's theorem for Clifford algebra valued local variables is further consolidated by proving that the conditions of remote parameter independence and remote outcome independence are duly respected within the recently constructed exact, local realistic model for the EPR-Bohm correlations. Since the conjunction of these two conditions is equivalent to the locality condition of Bell, this provides an independent geometric proof of the local causality of the model, at the level of microstates. In addition to local causality, the (...) model respects at least seven other conceptual and operational requirements, arising either from the predictions of quantum mechanics or the premises of Bell's theorem, including the Malus's law for sequential spin measurements. Since the agreement between the predictions of the model and those of quantum mechanics is quantitatively precise in all respects, the ensemble interpretation of the entangled singlet state becomes amenable. (shrink)

We illustrate an explicit counterexample to Bell's theorem by constructing a pair of dichotomic variables that exactly reproduce the EPR-Bohm correlations in a manifestly local-realistic manner.

An experiment is proposed to test Bell’s theorem in a purely macroscopic domain. If realized, it would determine whether Bell inequalities are satisfied for a manifestly local, classical system. It is stressed why the inequalities should not be presumed to hold for such a macroscopic system without actual experimental evidence. In particular, by providing a purely classical, topological explanation for the EPR-Bohm type spin correlations, it is demonstrated why Bell inequalities must be violated in the manifestly local, macroscopic domain, just (...) as strongly as they are in the microscopic domain. (shrink)

This paper is based on notes taken during a three day lecture given by Humberto Maturana in St Kilda, Victoria, August 7th - 9th, 1993. It was obvious from the participants that many non biologists have found Maturana's work to be influential in their thinking. The audience included immunologists, family therapists, academics, architects, agriculturalists and information technologists.

In a couple of recent preprints Moldoveanu has suggested that there are errors in my disproof of Bell's theorem. Here I show that this claim is false. In particular, I show that my local-realistic framework is incorrectly and misleadingly presented in both of his preprints. In addition there are a number of serious mathematical and conceptual errors in his discussion of my framework. For example, contrary to his claim, my framework is manifestly non-contextual. In particular, quantum correlations are understood within (...) it as purely topological effects, not contextual effects. (shrink)

Bell inequalities are usually derived by assuming locality and realism, and therefore violations of the Bell-CHSH inequality are usually taken to imply violations of either locality or realism, or both. But, after reviewing an oversight by Bell, in the Corollary below we derive the Bell-CHSH inequality by assuming only that Bob can measure along vectors b and b' simultaneously while Alice measures along either a or a', and likewise Alice can measure along vectors a and a' simultaneously while Bob measures (...) along either b or b', without assuming locality. The violations of the Bell-CHSH inequality therefore only mean impossibility of measuring along b and b' simultaneously. (shrink)

The Hipparchus features a conversation between Socrates and an un-named companion, at an unknown time and place, about gain and whether we should in any way limit our pursuit of gain. Socrates argues intransigently that we should not place any limits on our pursuit of gain, while the companion, despite being unable to counter his arguments, is equally firm in his rejection of Socrates’ moral position. The dialogue thus shows the strength of the conviction, in the souls of decent people, (...) that unrestrained pursuit of the good things is not good for you. This conviction exists prior to calculation, and the action of the dialogue thereby testifies to the existence of man’s natural conscience. (shrink)

Informal science learning sites create opportunities for children to learn about science outside of the classroom. This study analyzed children’s learning behaviors in ISLS using video recordings of family visits to a zoo, children’s museum, or aquarium. Furthermore, parent behaviors, features of the exhibits and the presence of an educator were also examined in relation to children’s behaviors. Participants included 63 children and 44 parents in 31 family groups. Results showed that parents’ science questions and explanations were positively related to (...) children observing the exhibit. Parents’ science explanations were also negatively related to children’s science explanations. Furthermore, children were more likely to provide science explanations when the exhibit was not interactive. Lastly there were no differences in children’s behaviors based on whether an educator was present at the exhibit. This study provides further evidence that children’s interactions with others and their environment are important for children’s learning behaviors. (shrink)

Peter A Joy reviews Assessing Lawyer's Ethics: A Practitioner's Guide by Adrian Evans.

We explain the elementary mistake made by John S. Bell in the proof of his famous ``theorem.''.

A counterexample to Bell's theorem is presented which uses a pair of photons instead of spin-1/2 particles used in our previous counterexamples. A locally causal protocol is provided for Alice and Bob, which allows them to simulate observing photon polarizations at various angles, and record their results as A=+/-1 in S^3 and B=+/-1 in S^3, respectively. When these results are compared, the correlations are seen to be exactly those predicted by quantum mechanics; namely cos 2(alpha - beta), where alpha and (...) beta are the angles of polarizers. The key ingredient in our counterexample is the topology of 3-sphere, which remains closed under multiplication, thus preserving the locality condition of Bell. (shrink)

Literary racial impersonation occurs when a narrative work fails to express the perspective of a minority ethnic or racial group. Interestingly, even when these works express moral themes congenial to promoting empathetic responses towards these groups, they can be met with public outrage if the group’s perspective is portrayed inaccurately. My goal in this paper is to vindicate the intuition that failure to express the perspective of a minority group well renders the work defective, both aesthetically and morally. I argue (...) that available frameworks exploring the connections between aesthetic and moral realms of value are inadequate to analyzing this phenomenon and propose a novel connection between aesthetic and moral values. Specifically, I demonstrate that the primary defect of literary racial impersonation is aesthetic and contingently constitutes a moral defect in our current social context. (shrink)

This Collision uses an encounter with Cathy Choi’s B1206 , coupled with theories of aesthetic empathy, to articulate how hijacking as an aesthetic concept might work. The aesthetic faculty of empathy conceives of the aesthetic experience as “feeling into” a given work. This concept furnishes a useful framework for thinking about aesthetic hijacking, as “feeling into” something implies the displacement of the work or its viewer. Hijacking, then, could foreground that displacement by emphasizing spatial uncertainty. Furthermore, hijacking could be an (...) inversion of the process of “feeling into” a given work, indicating a process whereby the work forces its way into the viewer and the space s/he inhabits. (shrink)

This essay on the life and work of Pamela Sue Anderson traces aspects of her scholarly work that I was very fortunate to share with her over twenty-six years. What brought us together was our commitment to feminism but also our strong interest in the work of Paul Ricoeur – which seemed to many people an odd combination, given Ricoeur’s silence on the topic of women and gender issues. Over the years, we met at conferences, read each other’s books, and (...) published articles in each other’s publications. My principal aim is to chart her own journey and her relation to the work of Paul Ricoeur. What was remarkable in Pamela’s work was her passionate commitment, which was especially contagious. Her early work on the philosopher Kant was rigorous in ways that helped to initiate a wealth of new scholarship and increased an awareness of Ricoeur’s Kantian influence. In relation to Ricoeur’s work, Pamela was intrigued by his silence on women, but she realized that, given his dialogical approach, she could attempt not only to introduce feminist insights but also to expand his ideas so as to incorporate philosophy of religion. First, she integrated Ricoeur’s approach of the hermeneutics of suspicion to assist in this task. Then she adapted his writings on hospitality. But it was only when Ricoeur turned his attention to human suffering and vulnerability in his later years – a topic that resonated deeply with Pamela – that she was moved to write specifically in ways that helped incorporate her insights with Ricoeur’s in constructive ways. Her final publications reflect her wise and thought-provoking conclusions. (shrink)

I demonstrate that Bell's theorem is based on circular reasoning and thus a fundamentally flawed argument. It unjustifiably assumes the additivity of expectation values for dispersion-free states of contextual hidden variable theories for non-commuting observables involved in Bell-test experiments, which is tautologous to assuming the bounds of ±2 on the Bell-CHSH sum of expectation values. Its premises thus assume in a different guise the bounds of ±2 it sets out to prove. Once this oversight is ameliorated from Bell's argument by (...) identifying the impediment that leads to it and local realism is implemented correctly, the bounds on the Bell-CHSH sum of expectation values work out to be ±2√2 instead of ±2, thereby mitigating the conclusion of Bell's theorem. Consequently, what is ruled out by any of the Bell-test experiments is not local realism but the linear additivity of expectation values, which does not hold for non-commuting observables in any hidden variable theories to begin with. I also identify similar oversight in the GHZ variant of Bell's theorem, invalidating its claim of having found an inconsistency in the premisses of the argument by EPR for completing quantum mechanics. Conceptually, the oversight in both Bell's theorem and its GHZ variant traces back to the oversight in von Neumann's theorem against hidden variable theories identified by Grete Hermann in the 1930s. (shrink)

Although Paul Ricœur never wrote a book on acting and suffering, the essay focuses on Ricœur’s engagement with this topic. It was one of Ricœur’s abiding interests that consistently appeared over the years in a number of his works. Given his compassionate affirmation of life in this world, he was vitally concerned about human beings’ inhumanity, in the form of inflicting unmerited suffering on their fellow beings. His distress on this issue was clearly evident. This essay is an overview of (...) Ricœur’s endeavors to try and alleviate such injustice by a commitment to an ethically grounded approach that aimed at “the good life with and for others, in just institutions.”. (shrink)

In order to investigate whether addressees can make immediate use of speaker‐based constraints during reference resolution, participant addressees' eye movements were monitored as they helped a confederate cook follow a recipe. Objects were located in the helper's area, which the cook could not reach, and the cook's area, which both could reach. Critical referring expressions matched one object (helper's area) or two objects (helper's and cook's areas), and were produced when the cook's hands were empty or full, which defined the (...) cook's reaching ability constraints. Helper's first and total fixations showed that they restricted their domain of interpretation to their own objects when the cook's hands were empty, and widened it to include the cook's objects only when the cook's hands were full. These results demonstrate that addressees can quickly take into account task‐relevant constraints to restrict their referential domain to referents that are plausible given the speaker's goals and constraints. (shrink)

An elementary topological error in Bell's representation of the EPR elements of reality is identified. Once recognized, it leads to a topologically correct local-realistic framework that provides exact, deterministic, and local underpinning of at least the Bell, GHZ-3, GHZ-4, and Hardy states. The correlations exhibited by these states are shown to be exactly the classical correlations among the points of a 3 or 7-sphere, both of which are closed under multiplication, and hence preserve the locality condition of Bell. The alleged (...) non-localities of these states are thus shown to result from misidentified topologies of the EPR elements of reality. When topologies are correctly identified, local-realistic completion of any arbitrary entangled state is always guaranteed in our framework. This vindicates EPR, and entails that quantum entanglement is best understood as an illusion. (shrink)