Online research in philosophy

A notion of complexity for an arbitrary structure was defined in the book of Poizat Les petits cailloux (1995): we can define P and NP problems over a differential field K. Using the Witness Theorem of Blum et al., we prove the P-stability of the theory of differential fields: a P problem over a differential field K is still P when restricts to a sub-differential field k of K. As a consequence, if P = NP over some differentially closed field (...) K, then P = NP over any differentially closed field and over any algebraically closed field. (shrink)

Let f be a function from N to N that can not be computed in polynomial time, and let a be an element of a differential field K of characteristic 0. The problem of large powers is the set of tuples x̄ = (x 1 ,..., x n ) of K so that x 1 = a f(n) , and the problem of large roots is the set of tuples x̄ of K so that x f(n) 1 = a. These (...) are two examples of problems that the use of derivation does not allow to solve quicker. We show that the problem of large roots is not polynomial for the differential field K, even if we use a polynomial number of parameters, and that the problem of large powers is not polynomial for the differential field K, even for non-uniform complexity. The proofs use the polynomial stability (i.e., the elimination of parameters) of field of characteristic 0, shown by L. Blum. F. Cucker. M. Shub and S. Smale, and the reduction lemma, that transforms a differential polynomial in variables x̄ into a polynomial in variables x̄. and their derivatives. (shrink)

In 1911, Drs John Freeman and Leonard Noon published an account of a novel treatment for hay fever. Their method of desensitisation consisted of injecting increasing doses of an extract of pollen subcutaneously until the hypersensitivity reaction was diminished or abolished. Over subsequent decades, desensitisation established itself as the cornerstone of clinical allergy in both England and the United States, at least until the advent of novel pharmaceutical agents in the 1950s and 1960s. Although British allergists such as Noon and (...) Freeman were aware of conceptual developments within European immunology and pathology (such as the identification of anaphylaxis by Richet and Portier or von Pirquet's coining of the term allergy), their approach to hay fever was driven by more immediate pragmatic, and indeed financial, considerations. Freeman's immersion in the problems of hay fever and asthma and his pioneering use of allergen desensitisation or immunotherapy were shaped by his adherence to the convictions and bacteriological practices of his principal at St Mary's Hospital, Almroth Wright, and by the drive to produce commercial vaccines which would help to subsidise the experimental and therapeutic work at St Mary's. The aim of this paper is to explore early twentieth-century approaches to hay fever and other allergic diseases by tracing the intellectual and institutional origins of clinical allergy in Britain. (shrink)

Theorizing resistance -- Hellenistic rule in Judea : setting the stage for resistance -- Interaction and identity in Seleucid Judea : 188-173 BCE 78 -- Recreating the empire : the sixth Syrian war, Jason's revolt, and the reconquest of Jerusalem -- Seleucid state terror -- The edict of Antiochus : persecution and the unmaking of the Judean world -- Daniel -- Enochic authority -- The apocalypse of weeks : witness and transformation -- The book of dreams : see and cry (...) out. (shrink)