Conjecture, proof, and sense in Wittgenstein's philosophy of mathematics

One of the key tenets in Wittgenstein’s philosophy of mathematics is that a mathematical proposition gets its meaning from its proof. This seems to have the paradoxical consequence that a mathematical conjecture has no meaning, or at least not the same meaning that it will have once a proof has been found. Hence, it would appear that a conjecture can never be proven true: for what is proven true must ipso facto be a different proposition from what was only conjectured. Moreover, it would appear impossible that the same mathematical proposition be proven in different ways. — I will consider some of Wittgenstein’s remarks on these issues, and attempt to reconstruct his position in a way that makes it appear less paradoxical.

Vertical propagation of information in a middle atmosphere data assimilation system by gravity-wave drag feedbacks

The mesospheric response to the 2002 Antarctic Stratospheric Sudden Warming (SSW) is analysed using the Canadian Middle Atmosphere Model Data Assimilation System (CMAM-DAS), where it represents a vertical propagation of information from the observations into the data-free mesosphere. The CMAM-DAS simulates a cooling in the lowest part of the mesosphere which is accomplished by resolved motions, but which is extended to the mid- to upper mesosphere by the response of the model's non-orographic gravity-wave drag parameterization to the change in zonal winds. The basic mechanism is that elucidated by Holton consisting of a net eastward wave-drag anomaly in the mesosphere during the SSW, although in this case there is a net upwelling in the polar mesosphere. Since the zonal-mean mesospheric response is shown to be predictable, this demonstrates that variations in the mesospheric state can be slaved to the lower atmosphere through gravity-wave drag.

Real Estate & the New Economy: The Impact of Information and Communications Technology

Private sector commercial property represents some #400 bn, or 34% of total UK business assets and is a vital fabric for housing commercial enterprise. Yet social and economic forces for change, linked with new technology, are making owners and occupiers question the very nature and purpose of property and real estate.

The effects of information presentation on real estate market perceptions

The study seeks to identify systematic differences in perception of the real estate market caused by the frames through which people obtain market information. We operationalise the frames through manipulation of data presentation in a commercial real estate market report, selectively controlling time scale, proportionality distortion and negative value presentation. Our findings suggest that such differences are real and their effects should be taken into account in the design and interpretation of market reports.

The impact of information and communications technology on commercial real estate in the new economy

Purpose – This paper seeks to critically review the conceptual frameworks that have been developed for assessing the impact of information and communications technology (ICT) on real estate. Design/methodology/approach – The research is based on a critical review of existing literature and draws from examples of previous empirical research in the field. Findings – The paper suggests that a “socio-technical framework” is more appropriate to examine ICT impact in real estate than other “deterministic” frameworks. Therefore, ICT is an important part of the new economy, but must be seen in the context of a number of other social and economic factors. Research limitations/implications – The research is based on a qualitative assessment of existing frameworks, and by using examples from commercial real estate, assesses the extent to which a “socio-technical” framework can aid understanding of ICT impact. Practical implications – The paper is important in highlighting a number of the main issues in conceptualising ICT impact in real estate and also critically examines the emergence of a new economy in the information society within the general context of real estate. The paper also highlights research gaps in the field. Originality/value – The paper deconstructs the myths of the “death of real estate” and “productivity increase means jobs loss”, in relation to office real estate. Finally, it examines some of the ways in which ICT is impacting on real estate and suggests the most important components for a future research agenda in the field of ICT and real estate impact, and will be of value to property investors, facilities managers, developers, financiers, and others.

Teachers’ knowledge and experiences of Information Advice and Guidance: some implications for the current policy context in England

Good information and career guidance about what post-compulsory educational routes are available and where these routes lead is important in ensuring that young people make choices that are most appropriate to their needs and aspirations. Yet the Association of School and College Leaders (2011) express fears that future provision will be inadequate. This paper reports the findings from an on-line survey of 300 secondary school teachers, and follow up telephone interviews with 18 in the South East of England which explored teachers’ experiences of delivering post-compulsory educational and career guidance and their knowledge and confidence in doing so. Results suggest that teachers lack confidence in delivering information, advice and guidance outside their own area of specialism and experience. In particular, teachers knew little in relation to alternative local provision of post-16 education and lacked knowledge of more non-traditional, vocational routes. This paper will therefore raises important policy considerations with respect to supporting teachers’ knowledge, ability and confidence in delivering information in relation to future pathways and career guidance.

The role of information on farmers' willingness to use recycled water for irrigation

In this paper are identified several factors which affect a potential user's willingness to use recycled water for agricultural irrigation. This study is based on the results of a survey carried out among farmers in the island of Crete, Greece. It was found that a higher level of income and education are positively correlated with a respondent's willingness to use recycled water. Income and education are also positively correlated with a potential user's sensitivity to information on the advantages of using non-conventional water resources. Overall, extra information on the advantages of recycled water has a statistically significant impact on reported degrees of willingness to use recycled water.