Multitasking is a critical feature of our daily lives. Using a dual-task paradigm, this experiment explored adults’ abilities to simultaneously engage in everyday motor and cognitive activities, counting while walking, under conditions varying the difficulty of each of these tasks. Motor difficulty was manipulated by having participants walk forward versus backward, and cognitive difficulty was manipulated by having participants count forward versus backward, employing either a serial 2 s or serial 3 s task. All of these manipulations were performed in (...) single-task conditions and dual-task conditions. Both motor performance variables and cognitive variables were assessed in these conditions. Analyses of single-task conditions revealed that both motor and cognitive manipulations predictably influenced performance. Analyses of dual-task performance revealed influences of motor and cognitive factors on both motor and cognitive performance. Most centrally, dual-task costs for motor variables revealed that such costs occurred primarily for temporal or spatiotemporal gait parameters and were driven by cognitive manipulations. Dual-task cost analyses for cognitive measures revealed negative dual-task costs, or dual-task benefits, for cognitive performance. Finally, the effects of dual-task manipulations were correlated for motor and cognitive measures, indicating dual-task performance as a significant individual difference variable. These findings are discussed with reference to theories of attentional allocation, as well as the possible role of auditory–motor entrainment in dual-task conditions. (shrink)

In this age of new media, children are exposed to media messages at an early age. What can we do when the mass media exert such a great influence on children? One proposal has been for the introduction of a new school subject: media education. Though media education has not been part of the official curriculum in Hong Kong, some schools, both primary and secondary, have tried it out. This paper argues for the desirability of introducing media education in primary (...) schools in Hong Kong, with regard to social change, recent education reform and learning initiatives of primary pupils. It then draws on the findings of a study conducted in a local primary school to examine the views of pupils, parents, and teachers on the effects on pupils of the implementation of media education lessons and campus radio projects in this age of new media. (shrink)

The purpose of this paper is threefold. First, I visit the Fogelin–Geach-dispute, criticizeMiller''s interpretation of the Geachian notationN(x:N(fx)) and conclude that Fogelin''s argumentagainst the expressive completeness of the Tractariansystem of logic is unacceptable and that the adoptionof the Geachian notation N(x:fx) would not violate TLP5.32. Second, I prove that a system of quantificationtheory with finite domains and with N as the solefundamental operation is expressively complete. Lastly, I argue that the Tractarian system is apredicate-eliminated many-sorted theory (withoutidentity) with finite domains (...) and with N as the solefundamental operation, and thus is expressivelycomplete. (shrink)

The purpose of this paper is to offer an interpretation of the Tractatus’ proof of the unity of logic and language. The kernel of the proof is the thesis that the sole logical constant is the general propositional form. I argue that the Grundgedanke, the existence of the sole fundamental operation N and the analyticity thesis, together with the fact that the operation NN can always be seen as having no specific formal difference between its result and its base, imply (...) that NN is intrinsic to every elementary proposition. I also argue that the picture theory of proposition is an account of the generation of propositions via naming, and that its crucial idea is that naming is the instantiation of the form of a name, which consists in arbitrarily picking out an object as the meaning of the name from those objects sorted out by the form of the name. It follows that the existential quantifier, that is, NN, is intrinsic to naming (and therefore to every elementary proposition). It is then proven that the sole logical constant is the general propositional form. This, together with the truth‐functionality of logical necessity, implies that logic and language are unified via a general rule – logical syntax. (shrink)

This essay is basically exegetical in nature, and its purpose is fourfold. First, I argue against the prevailing view that the dao 道 of the Daodejing 道德經 is metaphysically either a non-being or something transcending all senses by showing that it is a nonempty transforming unsummed totality.1 Dao is still metaphysical, but only as something that defies our ability to experience it as a totality or as any of its aspectual totalities.Second, I argue that in the Daodejing Laozi 老子 adopts (...) the condition of naming that a sign becomes a name only if it can be used to describe what it signifies.2 Because none of the aspectual totalities of dao can be described, the naming condition is contravened, and thus dao and its... (shrink)

The Tractatus contains twodifferent proofs of the Grundgedanke, or thenonreferentiality of logical constants. In thispaper, I explicate the first proof in TLP 5.4s andreconstruct the less explicitly stated second proof. My explication of the first proof shows it to beelegant but based on an invalid inference. In myreconstruction of the second proof, the main argumentis that the sign of a logical constant does not denotebecause it possesses the punctuation-mark-nature. Andit possesses the punctuation-mark-nature because,given the analyticity thesis in TLP 5, one (...) canestablish for everyday language an adequate symbolismwith N as the sole fundamental operation such that itssign is a bar indicating merely the order and scope ofits application. (shrink)

Hick’s soul-making theodicy defends the omnipotence, omniscience, and all-goodness of God in the face of evil. It holds that the end of the creation process is the development of human beings into children of God. In order to achieve the end, an evil-dependent soul-making process must be employed. It then concludes that, because the end is so valuable, the omnipotent and omniscient creator’s not having prevented the existence of evil is morally justified and thus not in conflict with her being (...) all-good. In particular, God’s having created a world with evils and evil-dependent values, which may be called “an Irenaean world,” is morally justified. In the Zhuangzi, Zhuangzi holds that the actual world is, in reality, a world without evils and evil-dependent values, but with evil-independent values, which may be called “a Zhuangzian world,” while ordinary people mistakenly take the actual world to be an Irenaean world. In an insightful story in the Chapter “The Great and Venerable Teacher” of the Zhuangzi, he amounts to claiming that a Zhuangzian world is better than an Irenaean world. Without endorsing Zhuangzi’s two positions, I argue against Hick’s soul-making theodicy in this way: It is Hick’s burden to prove either that a Zhuangzian world is metaphysically impossible, or that the actual world, as an Irenaean world, is better than any Zhuangzian world. However, there are not any resources in his soul-making theodicy that can provide any such proofs. Therefore, Hick has not justified, nor rationally established, his soul-making theodicy. (shrink)

In their influential paper “The extended mind”, Andy Clark and David Chalmers argue for the possibility of the extended mind. Based on Clark and Chalmers’s views, Stephen Hetherington argues in his paper “The extended knower” that there are extended knowers, provided epistemic externalism holds. He also uses the argument and its conclusion to criticize Baron Reed’s scepticism in the paper “The long road to skepticism” : 236–262, 2007). In this chapter, I argue that both Hetherington’s notion of the extended knower (...) and his argument are problematic. This is because the conceptual intelligibility of his notion of the extended knower entails the highly counterintuitive consequence that, in some cases, some negative entities would have to be constitutive of the extended knower. I also show that Hetherington’s criticism of Reed’s scepticism is not successful, and that there is no reason to believe that Clark and Chalmers would hold that there is the extended knower in Hetherington’s sense. (shrink)

In this paper, I argue that the Tractatus classifies names into constant names and variable names. A variable name, via the application of the existential quantifier against the background of picturing, picks out and denotes an unspecified object from the range of objects of the form shown by the relevant variable. A constant name labels an object picked out from a scope of the existential quantifier. I also refute two types of attempts to argue that the Tractarian relation between a (...) name and its meaning is not realist, and to explain why it is more reasonable to hold that it is. (shrink)

This paper aims to explain how the Tractatus attempts to unify logic by deriving the truth-functionality of logical necessity from the thesis that a proposition shows its sense. I first interpret the Tractarian notion of showing as the displaying of what is intrinsic to an expression (or a symbol). Then I argue that, according to the Tractatus, the thesis that a proposition shows its sense implies the determinacy of sense, the possibility of the complete elimination of non-primitive symbols, the analyticity (...) thesis and the strong analyticity thesis. The picture theory emerges as what provides the only acceptable account of an elementary proposition, subject to the constraint that a proposition must show its sense. The picture theory and the analyticity thesis then entail the contingency thesis (that an elementary proposition is contingent) and the independence thesis (that elementary propositions are mutually logically independent) which, together with the strong analyticity thesis, imply that all logical propositions are tautologies. (shrink)

Early commentaries on the Tractatus, such as Russell's introduction and Ramsey's review in Mind already noted and commented on Wittgenstein's peculiar views concerning nonsense and elucidation. Ramsey also complains that 'sentences apparently asserting such properties of objects are held by Mr Wittgenstein to be nonsense, but to stand in some obscure relation to something inexpressible'. However, there would not be 'the orthodox reading' of the Tractatus exemplified by these remarks, were it not for the emergence of the 'resolute reading', the (...) 'New Wittgensteinian', the 'therapeutic reading', or the 'post‐modernist interpretation', which challenge it. Resolute readings can be divided into 'strong' and 'weak' readings or, more or less equivalently, 'Jacobin' and 'Girondin' readings. The resolute reading proposes a new way of reading the Tractatus, and tries to give prominence to its distinctness and correctness by attacking the orthodox reading. It should then be seen as an unorthodox reading. (shrink)

This paper aims to argue against the resolute reading, and offer a correct way of reading Wittgenstein'sTractatus. According to the resolute reading, nonsense can neither say nor show anything. The Tractatus does not advance any theory of meaning, nor does it adopt the notion of using signs in contravention of logical syntax. Its sentences, except a few constituting the frame, are all nonsensical. Its aim is merely to liberate nonsense utterers from nonsense. I argue that these points are either not (...) distinctive from standard interpretations or incorrect. Instead, the Tractarian elucidations help to shed light on the nature of language and logic, and introduce the correct method in philosophy. Philosophy deals with philosophical utterances and Tractarian elucidations by pointing out that they are nonsensical. By doing this, one is helped to see that what they appear to be saying is shown by significant propositions saying something else. (shrink)

In the Tractatus Logico‐Philosophicus, Wittgenstein adopts a version of logical atomism. This chapter offers an exposition of the Tractarian version of logical atomism. Wittgenstein argues that the constituents of the end products of complete analysis are simple signs, and that there are necessarily existent objects. The chapter explains Wittgenstein's main argument for the possibility of complete analysis. It comments on three recent interpretations of the substance argument and offers an exposition of the substance argument. According to the Tractatus, propositions show (...) the logical form of reality, which is constituted by the logical forms of states of affairs. The substance argument is a reductio ad absurdum. The reductio is the premise that the world had no substance, which is equivalent to the claim that there were no necessarily existent simple objects. The world has substance constituted by necessarily existent simple objects. (shrink)

In this paper, I argue that the restricted claim in §43a of the Philosophical Investigations is that, for a large class of cases of word meanings, the meaning of a word is its use in the language. Although Wittgenstein does not provide any example of words having uses but no meaning as exceptions to the claim, he does hint at exceptions, which are names being defined, or explained, ostensively by pointing to their bearers, in §43b. Names in ostensive definitions, or (...) explanations, are meaningful, but not being used, and are therefore exceptions to the claim that meaning is use. (shrink)

In this paper, I consider a popular version of the clever student’s reasoning in the surprise examination case, and demonstrate that a valid argument can be constructed. The valid argument is a reductio ad absurdum with the proposition that the student knows on the morning of the first day that the teacher’s announcement is fulfilled as its reductio. But it would not give rise to any paradox. In the process, I criticize Saul Kripke’s solution and Timothy Williamson’s attack on a (...) key step of the student’s reasoning. I then consider the condemned prisoner case in W. V. Quine’s paper ‘On a So-Called Paradox’. I argue that the prisoner’s reasoning as conceived by Quine is more relevant and reasonable than the student’s argument in the popular version of the surprise examination case. I also argue that Quine’s criticism of the prisoner’s reasoning is correct, and therefore that the condemned prisoner case, and the surprise examination case as well, would not generate any paradox. (shrink)

William Rowe has put forward four popular evidential arguments from evil. I argue that there was already a prominent distinction between logical and evidential arguments from evil—the IN-IM-distinction, and that its adoption leads to two important results. First, all three non-Bayesian evidential arguments are actually not evidential but logical, while the Bayesian evidential argument genuinely evidential. Second, and most importantly, Rowe’s Bayesian evidential argument is redundant, in the sense that it has the same diculties his three non-Bayesian arguments have. His (...) move from the three earlier non-Bayesian arguments to the Bayesian argument is futile. (shrink)

Ernest Sosa has proposed at least three responses to the dream argument for skepticism in his writings in the past decade. The first and the main purpose of this paper is to critically examine the three Sosaian responses, as well as a Wittgensteinian response Sosa would endorse, by investigating whether they can refute the six different versions of the dream argument found in a passage in the Zhuangzi. The second purpose of this paper is exactly to offer an exposition of (...) the passage in the Zhuangzi so as to show that there were already sophisticated versions of the dream argument in ancient China. The main results of the critical examination are as follows. For four of the six versions of the dream argument found in the Zhuangzi, each of them can be refuted by either the Wittgensteinian response or one of the three Sosaian responses. With respect to the remaining two versions of the dream argument, one of them can be refuted partially by two of Sosa’s responses. First, that version of the dream argument can be refuted by one of Sosa’s responses, provided the imagination model of dreaming is adopted. Second, it can also be refuted by another of Sosa’s responses without assuming the imagination model of dreaming, though both the view that there is unsafe knowledge and a certain externalist reliabilism need to be adopted. However, another of the two remaining versions of the dream argument cannot be refuted by any of the Sosaian responses, nor the Wittgensteinian response. This shows that the three Sosaian responses and the Wittgensteinian response cannot refute significantly many different versions of the dream argument. Sosa’s responses, including the Wittgensteinian response, therefore are not in general successful in the refutation of he dream argument for skepticism. (shrink)

Introduction: Probationers, offenders with less serious and non-violent offences, and under statutory supervision, have low levels of self-esteem and physical health, and high level of family conflict, and poorer quality of family relationships. This study examined the effectiveness of the existing probation service and the additional use of a positive family holistic health intervention to enhance physical, psychological, and family well-being in probationers and relationships with probation officers.Methods: Probationers under the care of the Hong Kong Social Welfare Department were randomized (...) into a care-as-usual control group, a brief intervention group receiving two 1-h individual sessions [of a brief theory-based positive family holistic health intervention integrating Zero-time Exercise and positive psychology themes of “Praise and Gratitude” in the existing probation service], or a combined intervention group receiving BI and a 1-day group activity with family members. The outcomes were physical activity, fitness performance, self-esteem, happiness, anxiety and depression symptoms, life satisfaction, quality of life, family communication and well-being, and relationships with probation officers. Self-administered questionnaires and simple fitness tests were used at baseline, 1-month and 3-month follow-up. Linear mixed model analysis was used to compare difference in the changes of outcome variables among groups, adjusted of sex, age, and baseline values. Focus group interviews were conducted. Thematic content analysis was used.Results: 318 probationers were randomized into CAU, BI, or CI group. CAU showed enhanced physical activity, fitness performance and psychological health, and family communication with small effect sizes. BI and CI showed further improved physical activity, family communication and family well-being. Additionally, CI reported greater improvements in the relationships with probation officers than CAU with a small effect size. CI also reported greater increases in physical activity and family communication than BI with small to moderate effect sizes. Qualitative feedbacks corroborated the quantitative findings.Conclusion: Our trial provided the first evidence of the effectiveness of probation service and the additional use of an innovative, relatively low-cost, theory-based brief positive family holistic health intervention. This intervention may offer a new model for enhancing probation service.Trial Registration: The research protocol was registered at the National Institutes of Health. (shrink)

Ten arguments for the nonexistence of God are formulated and discussed briefly. Each of them ascribes to God a pair of properties from the following list of divine attributes: (a) perfect, (b) immutable, (c) transcendent, (d) nonphysical, (e) omniscient, (f) omnipresent, (g) personal, (h) free, (i) all-loving, (j) all-just, (k) all-merciful, and (1) the creator of the universe. Each argument aims to demonstrate an incompatibility between the two properties ascribed. The pairs considered are: 1. (a-1), 2. (b-1), 3. (b-e), 4. (...) (b-i), 5, (c-f), 6. (c-g), 7. (d-g), 8. (f-g), 9. (e-h), and 10. (j-k). Along the way, several other possible pairs are also mentioned and commented upon. (shrink)

Visit the author's Web site at www.11PicsOfTime.com Time is a mystery that has perplexed humankind since time immemorial. Resolving this mystery is of significance not only to philosophers and physicists but is also a very practical concern. Our perception of time shapes our values and way of life; it also mediates the interaction between science and religion both of which rest fundamentally on assumptions about the nature of time. C K Raju begins with a critical exposition of various time-beliefs, ranging (...) from the earliest times through Augustine, Newton and Einstein to Stephen Hawking and current notions of chaos and time travel. He traces the role of organised religion in subverting time beliefs for its political ends. The book points out how this resulted in a facile dichotomy between 'linear' and 'cyclic' time, thereby inaugurating a confusion which, according to the author, has handicapped Western thought ever since, eventually influencing the content of science itself. Thus, this book daringly asserts that physical theory, traditionally regarded as amoral and objective, has depended on cultural beliefs about time. The author points out that time beliefs are again being manipulated today as the credibility of science is being exploited to promote a picture of time and, hence, a pattern of human behaviour which is convenient to the agenda of globalisation of culture. The linkages between modern theology and this 'brave new physics' are traced against the wider context of the so-called 'clash of civilisations', and the attempts to remake the world order. The conclusions point to the need to de-theologise time. The author challenges Einstein's understanding of relativity theory and suggests that a 'tilt in the arrow of time', or a small tendency towards cyclicity, will help repair the prevalent confusion about time. A 'tilt' also enables a physics that permits both memory and creativity, so that purpose and spontaneous growth of order are returned to human life. The book ends with a vision of Man as Creator, surprising God. Extensive research in physics, the history of science, comparative religions, and sociology lend weight to the important and challenging conclusions reached by the author. Written as a rejoinder to Stephen Hawking's A Brief History of Time, this book goes much further and, unlike any previous book, it gives a critical exposition of various world religions-Buddhism, Christianity, Hinduism, Islam, and Jainism-while exploring their intricate links, through time beliefs, to current physics on the one hand, and to global political and economic trends, on the other. This book will appeal to scholars and laypersons equally. It will fascinate anyone who reads it and will teach its readers to question the unquestionable. (shrink)

This paper discusses alternative measures of assortative matching and relates them to Sewall Wright’s F-statistic. It also explores applications of measures of assortativity to evolutionary dynamics. We generalize Wright’s statistic to allow the possibility that some types match more assortatively than others, and explore the possibility of identifying parameters of this more general model from the observed distribution of matches by the partners’ types.

§1. Introduction. Natural sets that can be enumerated by a computable function always seem to be either actually computable or of the same complexity as the Halting Problem, the complete r.e. set K. The obvious question, first posed in Post [1944] and since then called Post's Problem is then just whether there are r.e. sets which are neither computable nor complete, i.e., neither recursive nor of the same Turing degree as K?Let be the r.e. degrees, i.e., the r.e. sets modulo (...) the equivalence relation of equicomputable with the partial order induced by Turing computability. This structure is a partial order with least element 0, the degree of the computable sets, and greatest element 1 or 0′, the degree of K. Post's problem then asks if there are any other elements of.The solution of Post's problem by Friedberg [1957] and Muchnik [1956] was followed by various algebraic or order theoretic results that were interpreted as saying that the structure was in some way well behaved:Theorem 1.1. Every countable partial ordering or even uppersemilattice can be embedded into.Theorem 1.2. For every nonrecursive r.e. degreeathere are r.e. degreesb, c < asuch thatb ∨ c = a.Theorem 1.3. For every pair of nonrecursive r.e. degreesa < bthere is an r.e. degreecsuch thata < c < b. (shrink)

We numerically solve the functional differential equations (FDEs) of 2-particle electrodynamics, using the full electrodynamic force obtained from the retarded Lienard–Wiechert potentials and the Lorentz force law. In contrast, the usual formulation uses only the Coulomb force (scalar potential), reducing the electrodynamic 2-body problem to a system of ordinary differential equations (ODEs). The ODE formulation is mathematically suspect since FDEs and ODEs are known to be incompatible; however, the Coulomb approximation to the full electrodynamic force has been believed to be (...) adequate for physics. We can now test this long-standing belief by comparing the FDE solution with the ODE solution, in the historically interesting case of the classical hydrogen atom. The solutions differ. A key qualitative difference is that the full force involves a ‘delay’ torque. Our existing code is inadequate to calculate the detailed interaction of the delay torque with radiative damping. However, a symbolic calculation provides conditions under which the delay torque approximately balances (3rd order) radiative damping. Thus, further investigations are required, and it was prematurely concluded that radiative damping makes the classical hydrogen atom unstable. Solutions of FDEs naturally exhibit an infinite spectrum of discrete frequencies. The conclusion is that (a) the Coulomb force is not a valid approximation to the full electrodynamic force, so that (b) the n-body interaction needs to be reformulated in various current contexts such as molecular dynamics. (shrink)