Investigations of the Behavior of Paramecium Aurelia: III. The Effect of the Presence and Absence of Light on the Occurrence of a Response

This study was designed to evaluate how a series of measures made on 77 infants at ages 3, 6, 9, 12, 18, and 24 months could be used to predict measures made at about 5 years of age. The analytical procedures were selected to be sensitive to differences among individuals in the function that relates test performance to age. Neither evidence for such heterogeneity nor incremental validity of the measures made at 18 months and earlier was obtained. It is concluded that the Gesell Developmental Schedule, the Cattell Infant intelligence Scale, and the California Infant Scale of Motor Development, administered at 18 months and earlier, are invalid both as static indicators of later performance and as dynamic indicators of development.     

Ethics in process perspective

Embedded in the thought of Whitehead is an extremely interesting but relatively neglected ethic which has relevance to current attempts to reflect creatively on the ethical dimension of human existence both in South Africa and the wider world. This paper notes the main features of the context in which such reflection is taking place, and then proceeds to give an account of process ethics. Thereafter it offers a critical discussion whose main conclusion is that process ethics has more to commend it than other approaches to ethics.     

The New Sacred Math

The individual soul is an ageless idea, attested in prehistoric times by the oral traditions of all cultures. But as far as we know, it enters history in ancient Egypt. I will begin with the individual soul in ancient Egypt, then recount the birth of the world soul in the Pythagorean community of ancient Greece, and trace it through the Western Esoteric Tradition until its demise in Kepler's writings, along with the rise of modern science, around 1600 CE. Then I tell of the rebirth of the world soul recently, in new branches of mathematics.     

A phase-field model for deformation twinning

We propose a phase-field model for modeling microstructure evolution during deformation twinning. The order parameters are proportional to the shear strains defined in terms of twin plane orientations and twinning directions. Using a face-centered cubic Al as an example, the deformation energy as a function of shear strain is obtained using first-principle calculations. The gradient energy coefficients are fitted to the twin boundary energies along the twinning planes and to the dislocation core energies along the directions that are perpendicular to the twinning planes. The elastic strain energy of a twinned structure is included using the Khachaturyan's elastic theory. We simulated the twinning process and microstructure evolution under a number of fixed deformations and predicted the twinning plane orientations and microstructures.     

Teachers' Gender Stereotypes in South Africa: A Case Study

The study investigated Teachers' gender stereotypes in the Eastern Province of South Africa. Participants were 65 Junior Secondary school teachers (females= 40 and males = 25) who assembled together at a seminar organized by the Department of Education. They completed a ten-statement questionnaire on gender stereotypes that would apply to school boys and girls. Data were analysed by means for differences in proportions endorsing stereotypes in relation to school activities. Gender stereotypes were apparent in the pattern of activities endorsed for males and females.     

Putnam, Peano, and the Malin Génie: could we possibly bewrong about elementary number-theory?

This article examines Hilary Putnam's work in the philosophy of mathematics and - more specifically - his arguments against mathematical realism or objectivism. These include a wide range of considerations, from Gödel's incompleteness-theorem and the limits of axiomatic set-theory as formalised in the Löwenheim-Skolem proof to Wittgenstein's sceptical thoughts about rule-following (along with Saul Kripke's ‘scepticalsolution’), Michael Dummett's anti-realist philosophy of mathematics, and certain problems – as Putnam sees them – with the conceptual foundations of Peano arithmetic. He also adopts a thought-experimental approach – a variant of Descartes' dream scenario – in order to establish the in-principle possibility that we might be deceived by the apparent self-evidence of basic arithmetical truths or that it might be ‘rational’ to doubt them under some conceivable (even if imaginary) set of circumstances. Thus Putnam assumes that mathematical realism involves a self-contradictory ‘Platonist’ idea of our somehow having quasi-perceptual epistemic ‘contact’ with truths that in their very nature transcend the utmost reach of human cognitive grasp. On this account, quite simply, ‘nothing works’ in philosophy of mathematics since wecan either cling to that unworkable notion of objective (recognition-transcendent) truth or abandon mathematical realism in favour of a verificationist approach that restricts the range of admissible statements to those for which we happen to possess some means of proof or ascertainment. My essay puts the case, conversely, that these hyperbolic doubts are not forced upon us but result from a false understanding of mathematical realism – a curious mixture of idealist and empiricist themes – which effectively skews the debate toward a preordained sceptical conclusion. I then go on to mount a defence of mathematical realism with reference to recent work in this field and also to indicate some problems – as I seethem – with Putnam's thought-experimental approach as well ashis use of anti-realist arguments from Dummett, Kripke, Wittgenstein, and others.     

Examining the Relationship Between Mathematics Anxiety and Mathematics Performance: An Instructional Hierarchy Perspective

This study investigated the relationship between mathematics anxiety, fluency, and error rates in basic mathematical operations among college students. College students were assigned to one of two groups (high anxiety or low anxiety) based on results from the Fennema-Sherman Mathematics Anxiety Scale (FSMAS). Both groups were then presented with timed tests in basic mathematical operations (addition, subtraction, multiplication, division, and linear equations). Results suggested that the higher mathematics anxiety group had significantly lower fluency levels across all mathematical operations tests. However, there were no significant differences in error rates between the two groups across any of the probes suggesting that mathematics anxiety is more related to higher levels of learning than to the initial acquisition stage of learning. Discussion focuses on a) stages of learning and their potential relationship to mathematics anxiety, b) the relationship between mathematics anxiety and mathematics performance, and c) directions for future research.     

TOPICAL EPISTEMOLOGIES

Abstract: What is the point of developing an epistemology for a topic—for example, morality? When is it appropriate to develop the epistemology of a topic? For many topics—for example, the topic of socks—we see no need to develop a special epistemology. Under what conditions, then, does a topic deserve its own epistemology? I seek to answer these questions in this article. I provide a criterion for deciding when we are warranted in developing an epistemological theory for a topic. I briefly apply this criterion to moral epistemology and argue that some approaches to moral epistemology should be abandoned. I also argue that we can develop an epistemology for a topic without committing ourselves to a specific substantive theory of justification, such as reliabilism or coherentism, if we work within a suitably neutral framework.