The notion that our society, its education system and its intellectual life, is characterised by a split between two cultures – the arts or humanities on one hand and the sciences on the other – has a long history. But it was C. P. Snow's Rede lecture of 1959 that brought it to prominence and began a public debate that is still raging in the media today. This fiftieth anniversary printing of The Two Cultures and its successor piece, A Second (...) Look features an introduction by Stefan Collini, charting the history and context of the debate, its implications and its afterlife. The importance of science and technology in policy run largely by non-scientists, the future for education and research, and the problem of fragmentation threatening hopes for a common culture are just some of the subjects discussed. (shrink)

A model is given of the development of a radialised larval head pattern inLimnaea stagnalis, as it occurs under certain experimental conditions. It is assumed that the differentiation of the pattern is entirely based on cell-internal factors, and that the internal state of each cell is dependent on that of its progenitor and on the direction of the division by which it is produced. This internal state determines the direction of the subsequent division or the nature of the cell's differentiation. (...) Cell interactions, which are during this period of minor importance, are left out of consideration. (shrink)

We formalise the notion of those infinite binary sequences z that admit a single program P which expresses the entire algorithmical structure of z. Such a program P minimizes the information which must be used in a relative computation for z. We propose two concepts with different strength for this notion, the learnable and the super-learnable sequences. We establish three different equivalent characterizations of learnable (super-learnable, resp.) sequences. In particular, we prove that a sequences z is learnable (super-learnable, resp.) if (...) and only if there is a computable probability measure p such that p is Schnorr (Martin-Lof, resp.) p-random. There is a recursively enumerable sequence which is not learnable. The learnable sequences are invariant with respect to all total and effective transformations of infinite binary sequences. (shrink)

In this stimulating book, six leading philosophers--Karl-Otto Apel, Robert Brandom, Karsten Harries, Martha Nussbaum, Barry Stroud, and Allen Wood--consider the nature of philosophy. Although each of them has a unique perspective, they all seem to agree that philosophy seeks to uncover hidden assumptions and concepts in order to expose them to critical scrutiny. It is thus entirely fitting that philosophers should examine their own assumptions about the nature of their discipline. As they delve into the nature of philosophy, the authors (...) address many fascinating subjects: what makes philosophy different from natural science, religion, and other branches of the humanities; whether philosophy can contribute to political transformation, and if so, how; whether there can ever be an "end of philosophy"; and more. The editors' introduction ties together the contributors' diverse perspectives by noting common themes, similarities, and differences. (shrink)