Context. The identification of the sources that reionized the Universe and their specific contribution to this process are key missing pieces of our knowledge of the early Universe. Faint star-forming galaxies may be the main contributors to the ionizing photon budget during the epoch of reionization, but their escaping photons cannot be detected directly due to inter-galactic medium opacity. Hence, it is essential to characterize the properties of faint galaxies with significant Lyman continuum photon leakage up to z 4 to (...) define indirect indicators allowing analogues to be found at the highest redshift. Aims. Long gamma-ray bursts explode typically in star-forming regions of faint, star-forming galaxies. Through LGRB afterglow spectroscopy it is possible to detect directly LyC photons. Our aim is to use LGRBs as tools to study LyC leakage from faint, star-forming galaxies at high redshift. Methods. Here we present the observations of LyC emission in the afterglow spectra of GRB 191004B at z = 3:5055, together with those of the other two previously known LyC-emitting LGRB, to determine their LyC escape fraction and compare their properties. Results. From the afterglow spectrum of GRB 191004B we determine a neutral hydrogen column density at the LGRB redshift of og =17:2 0:15, and negligible extinction. The only metal absorption lines detected are C iv and Si iv. In contrast to GRB 050908 and GRB 060607A, the host galaxy of GRB 191004B displays significant Ly emission. From its Ly emission and the non-detection of Balmer emission lines we constrain its star-formation rate to 1 SFR 4:7 M yr. 1. We fit the Ly emission with a shell model and find parameters values consistent with the observed ones. The absolute LyC escape fractions we find for GRB 191004B, GRB 050908 and GRB 060607A are of 0:35+0:10.0:11, 0:08+0:05.0:04 and :20+0:05.0:05, respectively. We compare the LyC escape fraction of LGRBs to the values of other LyC emitters found from the literature, showing that LGRB afterglows can be powerful tools to study LyC escape for faint high-redshift star-forming galaxies. Indeed we could push LyC leakage studies to much higher absolute magnitudes. The host galaxies of the three LGRB presented here have all M1600 >.19:5 mag, with the GRB 060607A host at M1600 >.16 mag. LGRB hosts may therefore be particularly suitable for exploring the ionizing escape fraction in galaxies that are too faint or distant for conventional techniques. Furthermore the time investment is very small compared to galaxy studies. (shrink)

The basic concepts appropriate for anS matrix theory for classical nonlinear physics are formulated here. These concepts are illustrated by a discussion of shock wave diffraction patterns. Other information concerning solutions of non-linear conservation laws is surveyed, so that a coherent picture of this theory can be seen. Within thisS matrix framework, a number of open problems as well as a few solved ones will be discussed.

As in the transmigration of souls after death in the Pythagorean myth that Socrates recounts in the Phaedo, for G.W.F. Hegel, in the Philosophy of Right, individuals are also 'reborn' out of their original nature into a 'second nature'. This article asks whether the Hegelian transmigration aims at their becoming nothing higher than that 'race of tame and social creatures . . . bees perhaps, wasps, or ants' which the Pythagorean myth relates is the fate of those who 'practiced popular (...) and social goodness . . . but devoid of philosophy and intelligence'. Through an analysis of duty, virtue, rectitude, custom and habit, this article argues that Hegel's account of the nature of fully ethical self-consciousness contains within it a robust, practical knowledge that resists the 'bees problem', shifts the focus of criticism from the truncation of human possibilities to the vitality of life, and ultimately furnishes resources that can secure the latter -- all without abandoning conventionality as the ethical horizon. (shrink)

Whereas the Upanishads contain much which is, strictly speaking, of little interest to the historian of Indian thought, the Pre-Upanishadic texts are not completely devoid of passages which are of special importance for anyone who endeavours to trace the origin and oldest form of the main texts of classical Indian philosophy. Too often the difference between Upanishads and Pre-Upanishadic literature has been exaggerated ; too often the philosophical importance of the ritualistic speculations contained in the Brahmanas has been undervalued ; (...) too often these texts have been neglected by the compilers of handbooks. One of those points which have not always received due attention concerns the theoretic foundation of the belief in the possibility of gaining the victory over death and of the efforts to realize this ambition. One of the most important problems in which the Indians have always been interested is the relation between the One and the Many, between this phenomenal world and its source and ground. Already in the Rgveda opinions differ : it has been a divine architect who made the phenomenal world ; it has been an anonymous primeval deity who became a golden germ from which a demiurge was born ; the world has arisen from the impersonal One who desired to create the world, etc. In the course of time these creators and ideas of the original One fused into the great figure of Prajapati, „the Lord of Creatures”. This God, who occupies a central position in the Brdhmawa-texts originally was what he was to remain in popular belief : the deity presiding over biological creation. In the ritualistic speculations of the authors of the Brahmanas he is the Creator, the Father of gods and anti-gods, the origin of creation. In the beginning Prajapati was alone, he was ,all this’, he was the universe in ,concentrated’ and unmanifested form. By way of emanation and self-differentiation he became the manifested universe, including the creatures. After this creative activity he is empty and exhausted, because he has ,entered the universe' or rather transformed himself into the universe. His strength, force and health can however be recovered and restored by means of rites. The world and the creatures which emanated from Prajapati were not perfect ; they were a discontinuum, disintegrated, in the power of death. In order to make life possible and to make the world habitable Prajdpati instituted rites. Prajapati is in the Brahmanas identified with the highest and most general categories ; he is the year, i.e. the complete cycle of time comprising the past and the future, totality and completeness. The year, viewed as an integral structure is the fundamental basis of all that happens. Being also the rite, the sacral act, Prajapati is on the other hand the earthly counterpart of the great cosmic drama. On these two identifications the ritualistic system of these authors is constructed. Among these authorities Sandilya. occupies a prominent place. The mundane events oscillating between the poles of birth and death, of genesis and decay, rites are needed to reintegrate what has become decomposed. They are however also to restore the original unity and totality, to co-ordinate the non-co-ordinated phenomena, to reconstruct Prajapati, to restore his original oneness. The rites reduce, temporarily it is true and with regard to the individual who has them performed, the phenomenal multiplicity to a reintegrated totality, in which the diversity of Prajapati's emanation has been destroyed, and the original unity and oneness has been restored. This theory underlies the structure of the great Fire-altar , by which the sacrificer identifies himself with Prajapati whose original unity is restored. By performing this elaborate ritual the personality of the sacrificer was transformed into a new and divine existence, which was no longer subject to the imperfections proper to this world. That is to say : the sacrificer acquires ,immortality' , he transcends the limits of phenomenal time, he becomes sarva, i.e. safe-andsound, whole. Prajapati-the year will not destroy the man who identifies himself with the totality, with Prajapati-the year, and who has acquired an insight into the meaning of this identification ; that man overcomes disintegration and discontinuity, he gains the victory over death, that is to say : he attains to a sound and complete condition. In the course of time the personal Prajapati and the impersonal Brahman are identified. In the early Upanishads the latter becomes the great fundamental principle. These works resume on the one hand ancient speculations a part of which has been preserved in the Rg- and Atharvavedas, and utilize, on the other hand, the ritualistic theories of the Brdhmawas. The tendency of their authors is however to dissociate themselves from ritualism. Emphasizing the quest for the salvation and spiritual welfare of the individual they go into the problem of the ,Soul' , that is the ,self' or the very core of the personality, which is essentially different from all phenomenal plurality. The hitman is identified with the Punira, the primeval man out of whom the universe arose. It follows that the Atrmn is also cosmic. According to Udddlaka Arum it is the subtle essence of all that exists. All the important potencies in the universe are said to be its manifestations. However, in these works . Htman and Brahman tend to fuse and the great teacher Ydjwavalkya concluded to their being identical. Ordinary men do not understand this identity, but the few who are able to arrive at this highly important insight gain the victory over the imperfections and contingencies of empirical existence. They experience the ecstatic and unanalysable condition of unity, the undifferentiated Plenum or Totality, the ,All'. They know that they are truly Brahman or Sarvam. Now, it is most important to attain to this condition, which implies the victory over death, before one is to die the worldly death. The man who dies without having escaped death will die again and again in the hereafter. Whereas the ritualists attempt to protect themselves from this much feared ,repeated death' by means of rites, especially by the construction of the Fire-altar, the teachers whose words are recorded in the early Upanishads ascribed the delivering power to the esoteric knowledge of the ,under lying theory', to the knowledge of the ritual-cosmic interrelations : the man who knows the relevant speculations will be released. This belief in the redeeming power of the rites and the ,theory' on which they are based was also of special importance with regard to the development of the Karman-doctrine. Thus ritual and spiritual identification with the One which is the Totality, the Primeval Being, the Creator, the Atman enables man by experiencing a transformation to conquer phenomenal time and death. (shrink)

Analytical philosophers, if they are true to their training, never forget the first lesson of analytical philosophy: philosophers have no moral authority.In so far as analytical philosophers believe this, they find it easy to live with. For them even to assert, let alone successfully lay claim to, moral authority would require, first, hard work of some non-analytical and probably mistaken kind and, secondly, personality traits of leadership or confidence or even charisma, which philosophers may accidentally have but which they are (...) certainly not trained to have and had better not rely upon, while they live by analytical standards. Yet a further reason why analytical philosophers find the denial of their moral authority easy to accept is that they never forget the second lesson of analytical philosophy, either: nobody else has any moral authority. (shrink)