C P Ormell; Ideology and the Reform of School Mathematics, Journal of Philosophy of Education, Volume 3, Issue 1, 30 May 2006, Pages 37–54, https://doi.org/10.1.

Dan Baras has recently argued for the claim that Theistic Mathematical Platonism fares no better than Mathematical Platonism with respect to explaining why our mathematical beliefs are correlated with mind-independent mathematical truths. In this paper I argue that, insofar as TMP provides a proximate or local explanation for this truth-tracking correlation whereas MP fails to offer any corresponding explanation, Baras’s claim that TMP fares no better than MP with respect to explaining this correlation is false.

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)

In this interview, C. P. Goodman invites British Polanyi scholar Richard T. Allen to reflect on his interest in Polanyi’s philosophical ideas and share what he believes is valuable in his thought.

In 163 Galen gave an anatomy lesson in Rome before an audience that included ‘Demetrius of Alexandria, a friend of Favorinus, who was every day speakingin public on themes proposed to him, in the style and manner of Favorinus’.

According to “hard” compatibilists, we can be responsible for our actions not only when they are determined by mindless natural causes, but also when some agent other than ourselves intentionally determines us to act as we do. “Soft” compatibilists consider freedom compatible with merely natural determinism, but not with intentional determinism (e.g., theological determinism). Because he believes there is no relevant difference (NRD) between a naturally determined agent and a relevantly similar intentionally determined agent, John Martin Fischer is a hard (...) compatibilist. However, he argues for “historical” compatibilism by appealing to the intuition that certain manipulated agents are not responsible. By considering a new type of manipulation case, I show that Fischer’s appeal to ordinary intuitions about manipulation conflicts with NRD, so that he must choose between the two. The closing section explains why I think going “soft” is Fischer’s better option. (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)

An inscription found in the theatre of Hierapolisin Phrygia and recently published is of interest both in itself and because it may help to elucidate a passage of Arrian′sDiscourses of Epictetos.