Zande Logic and Western Logic’ Richard Jennings argues that contrary to the view of Evans-Pritchard and Tim Triplett the system of logic employed by the Azande is sui generis and distinct from that of Westerners. I argue that this thesis is erroneous because Jennings, following Evans-Pritchard, is at fault in his analysis of the logic of the Azande. Zande thinking on the topic of witchcraft-substance heritability is not contradictory as believed. But even if one assumes that the Azande do reason (...) contradictorily on matters of institutional importance, Jennings' thesis on the possibility of incompatible logics still fails because similar instances of contradictory thinking could be found in the West. Although in practical matters all peoples appeal to orthodox logic, in matters of institutional importance the epistemological relativist could be on fertile ground where orthodox logic is in conflict with beliefs that are institutionally grounded. (shrink)

This research is motivated by the program of reverse mathematics and non-standard arguments in second-order arithmetic. Within a weak subsystem of second-order arithmetic ACA0, we investigate some aspects of non-standard analysis related to sequential compactness. Then, using arguments of non-standard analysis, we show the equivalence of the Riemann mapping theorem and ACA0 over WKL0. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim).

This research is motivated by the program of Reverse Mathematics. We investigate basic part of complex analysis within some weak subsystems of second order arithmetic, in order to determine what kind of set existence axioms are needed to prove theorems of basic analysis. We are especially concerned with Cauchy’s integral theorem. We show that a weak version of Cauchy’s integral theorem is proved in RCAo. Using this, we can prove that holomorphic functions are analytic in RCAo. On the other hand, (...) we show that a full version of Cauchy’s integral theorem cannot be proved in RCAo but is equivalent to weak König’s lemma over RCAo. (shrink)

In this paper, we show that equation image is a equation image-conservative extension of BΣ1 + exp, thus it does not imply IΣ1.

In this paper, we introduce the systems ns-ACA₀ and ns-WKL₀ of non-standard second-order arithmetic in which we can formalize non-standard arguments in ACA₀ and WKL₀, respectively. Then, we give direct transformations from non-standard proofs in ns-ACA₀ or ns-WKL₀ into proofs in ACA₀ or WKL₀.

Carole Pearce's argument against African philosophy is founded on a set of factual flaws and the fallacious assumption that African philosophy is equivalent to ethnophilosophy, which she defines as a form of intellectual apartheid founded on irrational belief systems. I argue that African philosophy is in no way qualitatively different from, say, French or Chinese philosophy, and that ethnophilosophy is merely one aspect of it But ethnophilosophy could play the important role of critically evaluating African ethnic belief systems and the (...) interpretation of such by Western anthropologists. In general, African philoso phy is nothing more than the philosophical research (of whatever order) carried out by African philosophers in the context of African research paradigms. (shrink)

Neoclassical economic theory in its pretensions to scientific status is founded on one of the variants of a now discredited positivism. Neoclassical economic theory claims that there are two distinct areas of economic research: positive economics and normative economics. The former is assumed to deal with the cognitive as scientific content of economics while the later focuses on welfare or equity issues. I argue that the reliance of the whole theoretical structure of economics on the normative postulate of rationality renders (...) neoclassical economics a normative discipline. I also argue that neoclassical economics should thus be viewed as an instance of applied ethics rather than as applied mathematics, say. Finally, it is suggested that neoclassical economics, if its scientific pretensions are to be taken seriously, should be absorbed theoretically into general anthropology. (shrink)

The purpose of this paper is to present a commentary on the current state of contemporary African philosophy and to offer some criticisms and recommendations. The question concerning African philosophy has been debated for some years now and one has witnessed a number of interesting works on this topic.

It is often emphasized that the Athenians viewed philosophy as essentially apolitical or anti-political. Placed in this context, Aristotle’s Politics 7.1–7.3 deserves special attention because here Aristotle presents his argument on the best life for ‘each human being and commonly for cities and human beings ’, which culminates in his conclusion that ‘the same life ’ is the best for them. This paper attempts to show that ‘the same life’ does not mean a life consisting of activity of the same (...) content but rather of the same type or kind, and that Aristotle semantically differentiates between ἑκάστῳ τε τῶν ἀνθρώπων and τοῖς ἀνθρώποις and assigns a sphere of philosophy to the former and a sphere of politics to the latter, which helps him mitigate the tension between the philosophical life and the political life. (shrink)

In prior research, signal detection theory has been widely utilized to assess metacognitive ability. However, the SDT metacognitive model requires the use of a two-alternative forced-choice task, while confidence must also be measured discretely. In our model, participants’ cognitive ability and their confidence in the cognitive task were used to estimate their metacognitive abilities. Therefore, in this study, a metacognitive model that can be applied to various cognitive tasks was developed. This model implements the item response theory and Q-learning models (...) to estimate cognitive ability; participants’ metacognitive ability is defined as the discrepancy between their confidence in their cognitive ability and their actual cognitive ability. The entire procedure was divided into two experiments. In experiment 1, two different cognitive tasks were used to estimate metacognitive ability and to examine overall discriminative and convergent validity. Notably, the parameters representing metacognitive ability did not correlate with cognitive ability but were positively correlated between the two tasks. In experiment 2, we performed a similar analysis using a different task to test the replicability of experiment 1. The results for experiment 2 were replicated for discriminative and convergent validity, albeit with weak results. Our metacognitive model exhibited high interpretability and versatility. (shrink)

Right-ear advantage refers to the observation that when two different speech stimuli are simultaneously presented to both ears, listeners report stimuli more correctly from the right ear than the left. It is assumed to result from prominent projection along the auditory pathways to the contralateral hemisphere and the dominance of the left auditory cortex for the perception of speech elements. Our study aimed to investigate the role of attention in the right-ear advantage. We recorded magnetoencephalography data while participants listened to (...) pairs of Japanese two-syllable words. The amplitudes of the stimuli were modulated at 35 Hz in one ear and 45 Hz in the other. Such frequency-tagging allowed the selective quantification of left and right auditory cortex responses to left and right ear stimuli. Behavioral tests confirmed the right-ear advantage, with higher accuracy for stimuli presented to the right ear than to the left. The amplitude of the auditory steady-state response was larger when attending to the stimuli compared to passive listening. We detected a correlation between the attention-related increase in the amplitude of the auditory steady-state response and the laterality index of behavioral accuracy. The right-ear advantage in the free-response dichotic listening was also found in neural activities in the left auditory cortex, suggesting that it was related to the allocation of attention to both ears. (shrink)

In diesem Beitrag wird ausgeführt, daß Poppers Falsifikationskriterium einen logischen Fehler enthält. Die Regeln deduktiver Ableitung sind selbst für ihre Durchführung von induktiver Ableitung abhängig. Um das "Criterion of Flasification" für gültig zu erklären, beruft sich Popper auf diese Regeln deduktiver Ableitung. Es wird weiter gezeigt, daß eine Untersuchung aktueller wissenschaftlicher Gesetze nicht die These beweist, daß die wissenschaftlichen Gesetze universale Feststellungen von unbeschränktem Horizonte in der Zeit und im Zeitraum sind. Die Anerkennung dieser Tatsache scheint im Zusammenhang der wissenschaftlichen (...) Forschung die Wichtigkeit des Problems der Induktion sehr zu verkleinern. (shrink)

have extremely harmful impacts on an individual’s physical, social and mental health throughout their life-span. Recently, it has been reported that maternal ACEs increase the risk of developmental delay in the offspring across generations. This mini review focuses on the direct relationship between maternal ACEs and child developmental delay, and potential mediators/moderators that associate their relationship. Six studies were identified using three search engines. The results indicated that four out of six studies reported at least one significant direct association between (...) maternal ACEs and child development. Additionally, maternal biological, psychological, and social factors were identified as mediators or moderators. In summary, we identified that maternal ACEs increased the risk of developmental delay in children via biological and psychosocial pathways. Future research should examine potential buffering factors and identify when it is crucial to break the intergenerational transmission. (shrink)

Kuhn's theory of scientific change is founded on the idea that there are minimal defensible grounds for the claim that the history of science is characterized by the cumulative growth of knowledge. According to Kuhn, revolutionary theories in the history of science cannot be perceived as logical and empirical derivations from their predecessors since, quite often, the research methods, theoretical assumptions and the empirical findings of the former are incompatible with the latter. Thus, the analysis of each novel scientific theory (...) must begin with a recognition of the epistemological and ontological independence of that theory's paradigm. (shrink)

This work examines the claim to scienific status made by supporters and practitioners of neoclassical economics. The approach taken is that of the history and philosophy of science. Analysis points to the conclusion that theories of economic choice are necessarily normative, essentially because of the nature of human behavior.

We investigate the reverse-mathematical status of several theorems to the effect that the natural number system is second-order categorical. One of our results is as follows. Define a system to be a triple A,i,f such that A is a set and i∈A and f:A→A. A subset X⊆A is said to be inductive if i∈X and ∀a ∈X). The system A,i,f is said to be inductive if the only inductive subset of A is A itself. Define a Peano system to be (...) an inductive system such that f is one-to-one and i∉the range of f. The standard example of a Peano system is N,0,S where N={0,1,2,…,n,…}=the set of natural numbers and S:N→N is given by S=n+1 for all n∈N. Consider the statement that all Peano systems are isomorphic to N,0,S. We prove that this statement is logically equivalent to WKL0 over RCA0⁎ source. From this and similar equivalences we draw some foundational/philosophical consequences. (shrink)

In this paper, we show within ${\mathsf{RCA}_0}$ that both the Jordan curve theorem and the Schönflies theorem are equivalent to weak König’s lemma. Within ${\mathsf {WKL}_0}$ , we prove the Jordan curve theorem using an argument of non-standard analysis based on the fact that every countable non-standard model of ${\mathsf {WKL}_0}$ has a proper initial part that is isomorphic to itself (Tanaka in Math Logic Q 43:396–400, 1997).

In this paper, we introduce a system of nonstandard second-order arithmetic $\mathsf{ns}$-$\mathsf{WWKL_0}$ which consists of $\mathsf{ns}$-$\mathsf{BASIC}$ plus Loeb measure property. Then we show that $\mathsf{ns}$-$\mathsf{WWKL_0}$ is a conservative extension of $\mathsf{WWKL_0}$ and we do Reverse Mathematics for this system.

We examined amygdala subregion volumes in patients with a first episode of major depression and in healthy subjects. Covariate-adjusted linear regression was performed to compare the MD and healthy groups, and adjustments for age, gender, and total estimated intracranial volume showed no differences in amygdala subregion volumes between the healthy and MD groups. Within the MD group, we examined the association between amygdala subregion volume and the 17-item Hamilton Rating Scale for Depression score and the HAMD subscale score, and found (...) no association in the left amygdala. In the right amygdala, however, there was an inverse linear association between the HAMD total and the HAMD core and lateral nucleus and anterior-amygdaloid-regions. Furthermore, an inverse linear association was seen between the HAMD psychic and the lateral nucleus, anterior-amygdaloid-regions, transition, and whole amygdala. The findings of this study suggest that the severity of MD and some symptoms of MD are associated with right amygdala volume. There have been few reports on the relationship between MD and amygdala subregional volume, and further research is needed to accumulate more data for further validation. (shrink)

La notion de risque est mal comprise. Elle est intrinsèquement liée à notre perception de ce qu’est le hasard, aux peurs et aux biais cognitifs résultants de notre histoire individuelle et collective. Dans un monde de plus en plus chaotique, soumis au dictat du temps et avide d’émotions, il est dangereux de voir dans les chiffres et les algorithmes de nouveaux oracles. Accompagnant l’éducation au discernement, la confiance est un élément vital de la gouvernance dans le changement de paradigme qui (...) nous traverse. Car si la prévention est salutaire, la précaution, établie comme principe, ouvre la voie à des obscurantismes. Familier des chiffres et des usages du système d’information, nous proposons dans une première section des éléments de lecture pour comprendre que ce qui compte avant tout dans la gouvernance, c’est ce que l’on souhaite voir advenir. Une seconde section est l’occasion de toucher du doigt les limites des chiffres et du bon sens à travers un exemple pédagogique sur le questionnement du dépistage systématique, qui a agité, un temps, les débats pendant la gestion de la pandémie de la Covid-19 en France en ce début d’année. (shrink)