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.

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.

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.

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)

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)

The requirement of gauge invariance for the Schwinger-DeWitt equations, interpreted as a manifestly covariant quantum theory for the evolution of a system in spacetime, implies the existence of a five-dimensional pre-Maxwell field on the manifold of spacetime and “proper time” τ. The Maxwell theory is contained in this theory; integration of the field equations over τ restores the Maxwell equations with the usual interpretation of the sources. Following Schwinger's techniques, we study the Green's functions for the five-dimensional hyperbolic field equations (...) for both signatures ± [corresponding to O(4, 1) or O(3, 2) symmetry of the field equations] of the proper time derivative. The classification of the Green's functions follows that of the four-dimensional theory for “massive” fields, for which the “mass” squared may be positive or negative, respectively. The Green's functions for the five-dimensional field are then given by the Fourier transform over the “mass” parameter. We derive the Green's functions corresponding to the principal part ΔP and the homogeneous function Δ 1 ; all of the Green's functions can be expressed in terms of these, as for the usual field equations with definite mass. In the O(3, 2) case, the principal part function has support for x2⩾τ2, corresponding to spacelike propagation, as well as along the light cone x2=0 (for τ=0). There can be no transmission ofinformation in spacelike directions, with this propagator, since the Maxwell field, obtained by integration over τ, does not contain this component of the support. Measurements are characterized by such an integration. The spacelike field therefore can dynamically establish spacelike correlations. (shrink)

Understanding the evolutionary role of environmentally induced phenotypic variation (i.e., plasticity) is an important issue in developmental evolution. A major physiological response to environmental change is cellular stress, which is counteracted by generic stress reactions detoxifying the cell. A model, stress‐induced evolutionary innovation (SIEI), whereby ancestral stress reactions and their corresponding pathways can be transformed into novel structural components of body plans, such as new cell types, is described. Previous findings suggest that the cell differentiation cascade of a cell type (...) critical to pregnancy in humans, the decidual stromal cell, evolved from a cellular stress reaction. It is hypothesized that the stress reaction in these cells was elicited ancestrally via inflammation caused by embryo attachment. The present study proposes that SIEI is a distinct form of plasticity‐based evolutionary change leading to the origin of novel structures rather than adaptive transformation of pre‐existing characters. (shrink)

On étudie dans cet article l'apparence morphologique des plantes à travers des modèles géométriques et statiques puis on examine quelques caractères-clés des processus de croissance à la lumière des propriétés de certains systèmes différentiels.

Among the works of Aelius Aristides is preserved one entitled the Rhodian It concerns an earthquake which has recently struck the city of Rhodes, and since Keil's edition of 1898 it has usually been considered spurious. The work reproduces a true speech, not something like an open letter: the clearest sign is when the author uses the deictic pronoun τοετ, ‘this here’, of the place in which he is speaking . One question is best discussed at the outset, since later (...) it will prove vital to the question of authenticity: does the speaker claim to have been in Rhodes at the moment of the earthquake? Keil assumed without argument that he does. He had clearly visited the city before the disaster as well as after it , but despite the vividness of his descriptions he nowhere says that he was present, and this reticence surely implies that he was not; and if he had been it is odd that he should talk of ‘the actual climax of the thing that befell you’ , using the second person plural. I infer that the speaker had not been present, but gave the speech several months after the event ; in the last part of this paper I will argue that he is Aristides, stopping at Rhodes on his wayback from Egypt to Smyrna in or about 142. (shrink)

Between 1069, the year of his arrival at St. Martin in Mainz, where he spent the rest of his life in voluntary enclosure in a cell, and his death in 1082, the Irish monk Marianus Scottus dedicated countless hours to assembling the most sophisticated and comprehensive work on historical chronology that had ever been produced by a Latin writer up to that time. The fruits of his labors became a massive world chronicle, completed in 1076, whose most famous innovation consisted (...) in a far-reaching correction to the Christian, or “common,” era, which had been introduced by Dionysius Exiguus in the sixth century. Having compared the data of the Easter computus with the chronological parameters traditionally associated with the passion of Christ—the fifteenth day of the moon on Friday, 25 March—Marianus found that the only year in which the numbers could be made to fit was AD 12 rather than the traditionally accepted AD 34. As a result, he decided to predate the life of Jesus by twenty-two years, assigning his birth to the year corresponding to 22 BC. This gave rise to a new “corrected” era , which he used alongside its Dionysiac equivalent. (shrink)

Transplantation continues to push the frontiers of medicine into domains that summon forth troublesome ethical questions. Looming on the frontier today is human facial transplantation. We develop criteria that, we maintain, must be satisfied in order to ethically undertake this as-yet-untried transplant procedure. We draw on the criteria advanced by Dr. Francis Moore in the late 1980s for introducing innovative procedures in transplant surgery. In addition to these we also insist that human face transplantation must meet all the ethical requirements (...) usually applied to health care research. We summarize the achievements of transplant surgery to date, focusing in particular on the safety and efficacy of immunosuppressive medications. We also emphasize the importance of risk/benefit assessments that take into account the physical, aesthetic, psychological, and social dimensions of facial disfiguration, reconstruction, and transplantation. Finally, we maintain that the time has come to move facial transplantation research into the clinical phase. (shrink)