Science and politics: Dangerous liaisons

In contrast to the opinion of numerous authors (e.g. R. Rudner, P. Kitcher, L. R. Graham, M. Dummett, N. Chomsky, R. Lewontin, etc.) it is argued here that the formation of opinion in science should be greatly insulated from political considerations. Special attention is devoted to the view that methodological standards for evaluation of scientific theories ought to vary according to the envisaged political uses of these theories.I wish to thank the Alexander von Humboldt Foundation for having supported the work on this paper.     

The Craik-O’Brien-Cornsweet effect: New varieties and their theoretical implications

New visual displays related to the Craik-O’Brien-Cornsweet effect are presented and their relevance for theories of the effect is assessed. The displays include a luminance cusp that does not induce the standard effect, an illusory chessboard, a brightness variant of the impossible staircase, and a display in which brightness varies with stimulus motion. Theories of the effect are grouped within the nonisomorphistic, the cognitive, and the mechanistic approaches. The nonisomorphistic approach is criticized as being seriously incomplete. Existing cognitively oriented proposals are criticized as inadequate. Mechanistic theories are divided into integration theories, which model the visual processing stages with standard mathematical operations such as differentiation and integration, and filling-in theories, which stress the processing dynamics of interconnected neural networks. The reported variations of the Craik-O’Brien-Cornsweet effect support the latter class of theories.     

Grading the ‘cultural literacy’ project

The essay examines the argument advanced by E.D. Hirsch, Jr., for instituting ‘cultural literacy’ as a fundamental priority of schools. A number of confusions and equivocations in Hirsch's reasoning are identified, and the propensity of his project to indoctrinate is exposed. Among the features of Hirsch's argument shown to be troubling are his shifting construal of ‘language’, his inconsistency about the requirements of cultural literacy, and his uncritical relation to traditional images of the American past and present. The upshot is to raise the question why Hirsch's project has elicited wide support and praise.     

Referenzsemantik in der Partnermodellierung

How can we explain that an assertion on something perceived can be understood in the same manner by somebody who cannot perceive that scene? This problem bases the interest in computational linguistics in how listener modeling could possibly be harmonized with reference semantics. Mental images substituting real perception appear as a way out. The architecture of the listener model has to be adapted to the creation and use of such pictorial data structures. Furthermore, the relation between the latter and a verbal (i. e., propositional) representation must be understood. The resulting architecture of a listener model with reference semantics can be employed to solve communicational problems from three general classes in a better way, as is demonstrated by an example implementation.     

What are numbers?

A number is the number of a class which is an objective, nonactual, mathematical object. The concept of class is analyzed and it is concluded that a number is the number of a pure founded class. A tempting strategy of explaining numbers away is rejected. Some well‐known definitions of numbers are analyzed and it is concluded that this analysis purports the thesis that the unique notion of number does not exist. Numbers are conventional. Nevertheless, an argument is offered purporting the thesis that von Neumann's ordinal numbers are the ordinal numbers. Accordingly, the corresponding von Neumann's cardinal numbers are the numbers.