The nature of exhibits about acoustics in Science and Technology centres

This is a study of the opportunities currently provided by interactive science and technology centres for visitors' engagement in the field of acoustics. E-mails, requesting a description of exhibits on acoustics (sound and hearing) in use, were sent to members of staff of interactive science and technology centres around the world as well as to companies that design and sell exhibits. Eighty-seven descriptions of distinctive interactive exhibits were received and analysed. Results show that: there are few analogy-based exhibits concerning the more complex aspects of acoustics; narratives involving visitors' everyday lives, that might provide continuity between and beyond the situations presented by exhibits, are not generally provided; science is emphasised at the expense of technology; the risks, benefits and ethical implications of relevant technological artefacts are rarely mentioned; the majority of the exhibits are concerned with the fields of fundamental acoustics, hearing, and psychoacoustics. It is suggested that interactive science and technology centres need to rethink the design of exhibits about acoustics if their mission includes some appreciation of this important branch of science and technology.

‘Anything can happen in the next half-hour’: Gerry Anderson’s transnational science fiction

Gerry Anderson’s 1960s puppet series have hybrid identities in relation to their medial, geographical, and production histories. This chapter ranges over his science fiction series from Supercar (1961) to Joe 90 (1968), arguing that Anderson’s television science fiction in that period crossed many kinds of boundary and border. Anderson’s television series were a compromise between his desire to make films for adults versus an available market for children’s television puppet programs, and aimed to appeal to a cross-generational family audience. They were made on film, using novel effects, for a UK television production culture that still relied largely on live and videotaped production. While commissioned by British ITV companies, the programs had notable success in the USA, achieving national networked screening as well as syndication, and they were designed to be transatlantic products. The transnational hero teams and security organisations featured in the series supported this internationalism, and simultaneously negotiated between the cultural meanings of Britishness and Americanness. By discussing their means of production, the aesthetic and narrative features of the programs, their institutional contexts, and their international distribution, this chapter argues that Anderson’s series suggest ways of rethinking the boundaries of British science fiction television in the 1960s.

Secondary school students’ epistemic insight into the relationships between science and religion – a preliminary enquiry

A number of previous studies have shown that there is a widespread view among young people that science and religion are opposed. In this paper, we suggest that it requires a significant level of what can be termed ‘epistemic insight’ to access the idea that some people see science and religion as compatible while others do not. To explore this further, we draw on previous work to devise a methodology to discover students’ thinking about apparent contradictions between scientific and religious explanations of the origins of the universe. In our discussion of the findings, we highlight that students’ epistemic insight in this context does seem in many cases to be limited and we outline some of the issues emerging from the study that seem to boost or limit students’ progress in this area.

Transreal limits expose category errors in IEEE 754 floating-point arithmetic and in mathematics

The IEEE 754 standard for oating-point arithmetic is widely used in computing. It is based on real arithmetic and is made total by adding both a positive and a negative infinity, a negative zero, and many Not-a-Number (NaN) states. The IEEE infinities are said to have the behaviour of limits. Transreal arithmetic is total. It also has a positive and a negative infinity but no negative zero, and it has a single, unordered number, nullity. We elucidate the transreal tangent and extend real limits to transreal limits. Arguing from this firm foundation, we maintain that there are three category errors in the IEEE 754 standard. Firstly the claim that IEEE infinities are limits of real arithmetic confuses limiting processes with arithmetic. Secondly a defence of IEEE negative zero confuses the limit of a function with the value of a function. Thirdly the definition of IEEE NaNs confuses undefined with unordered. Furthermore we prove that the tangent function, with the infinities given by geometrical con- struction, has a period of an entire rotation, not half a rotation as is commonly understood. This illustrates a category error, confusing the limit with the value of a function, in an important area of applied mathe- matics { trigonometry. We brie y consider the wider implications of this category error. Another paper proposes transreal arithmetic as a basis for floating- point arithmetic; here we take the profound step of proposing transreal arithmetic as a replacement for real arithmetic to remove the possibility of certain category errors in mathematics. Thus we propose both theo- retical and practical advantages of transmathematics. In particular we argue that implementing transreal analysis in trans- floating-point arith- metic would extend the coverage, accuracy and reliability of almost all computer programs that exploit real analysis { essentially all programs in science and engineering and many in finance, medicine and other socially beneficial applications.