Understanding what numbers are means knowing several things. It means knowing how counting relates to numbers (called the cardinal principle or cardinality); it means knowing that each number is generated by adding one to the previous number (called the successor function or succession), and it means knowing that all and only sets whose members can be placed in one-to-one correspondence have the same number of items (called exact equality or equinumerosity). A previous study (Sarnecka & Carey, 2008) linked children's understanding (...) of cardinality to their understanding of succession for the numbers five and six. This study investigates the link between cardinality and equinumerosity for these numbers, finding that children either understand both cardinality and equinumerosity or they understand neither. This suggests that cardinality and equinumerosity (along with succession) are interrelated facets of the concepts five and six, the acquisition of which is an important conceptual achievement of early childhood. (shrink)

Sensation elicited by a skin stimulus was subjectively reported to feel stronger when followed by a stimulus to somatosensory cerebral cortex , even when C was delayed by up to 400 ms or more. This expands the potentiality for retroactive effects beyond that previously known as backward masking. It also demonstrates that the content of a sensory experience can be altered by another cerebral input introduced after the sensory signal arrives at the cortex. The long effective S-C intervals support the (...) thesis that a duration of cortical activity of up to 0.5 s is required before awareness of a sensory stimulus is developed. (shrink)

This research examined ethical responses of public relations preprofessionals to dilemmas they may face later in their careers. Subjects were required to respond to a request for information ordered suppressed by their employer. Results support earlier findings that students expect personal moral?ethical values to override organizational concerns. Implications of the findings are discussed.

This paper presents a preliminary analysis of the first participatory budgeting experiment in the United States, in Chicago's 49th Ward. There are two avenues of inquiry: First, does participatory budgeting result in different budgetary priorities than standard practices? Second, do projects meet normative social justice outcomes? It is clear that allowing citizens to determine municipal budget projects results in very different outcomes than standard procedures. Importantly, citizens in the 49th Ward consistently choose projects that the research literature classifies as low (...) priority. The results are mixed, however, when it comes to social justice outcomes. While there is no clear pattern in which projects are located only in affluent sections of the ward, there is evidence of geographic clustering. Select areas are awarded projects like community gardens, dog parks, and playgrounds, while others are limited to street resurfacing, sidewalk repairs, bike racks, and bike lanes. Based on our findings, we offer suggestions for future programmatic changes. (shrink)

This paper considers the relationship between G. H. von Wright's solution to the paradoxes of confirmation and his "Principal Theorem of Confirmation". The former utilizes the order of our knowledge of the qualities of confirming instances of an hypothesis; the latter states the way in which an instance contributes to the probability of an hypothesis. It is shown that these two, as stated by von Wright, are logically incompatible. Then the most thorough possible emendation of the paradoxes solution (...) is considered, and it is shown that this still prohibits use of the "Principal Theorem" to confirm hypotheses stating necessary causal conditions, and to confirm by deliberate experiment hypotheses stating sufficient causal conditions. It is concluded that any solution of the paradoxes must rest solely upon the relation of the data to the hypothesis involved. (shrink)

The assessment of student learning is widely regarded with suspicion. Philosophers in particular have been reluctant to take this practice seriously. The essay reviews an ongoing effort to assess the development of philosophical dispositions among undergraduate students at a religiously affiliated liberal arts college. The procedure used in this effort as well as the results obtained so far strongly suggest that the deep learning valued most highly by philosophy teachers can be measured without harm to the teaching enterprise. The essay (...) argues that in light of a current cultural climate that fails to recognize the value of our enterprise, philosophers would be well advised to clearly define our particular learning goals, develop our own instruments, and to exercise more initiative in assessing our students learning. (shrink)