In the paper we introduce and study regular enumerations for arbitrary recursive ordinals. Several applications of the technique are presented.

. We prove a jump inversion theorem for the enumeration jump and a minimal pair type theorem for the enumeration reducibilty. As an application some results of Selman, Case and Ash are obtained.

The jump operator on the ω-enumeration degrees was introduced in [I.N. Soskov, The ω-enumeration degrees, J. Logic Computat. 17 1193–1214]. In the present paper we prove a jump inversion theorem which allows us to show that the enumeration degrees are first order definable in the structure of the ω-enumeration degrees augmented by the jump operator. Further on we show that the groups of the automorphisms of and of the enumeration degrees are isomorphic. In the second part of the paper (...) we study the jumps of the ω-enumeration degrees below . We define the ideal of the almost zero degrees and obtain a natural characterization of the class H of the ω-enumeration degrees below which are high n for some n and of the class L of the ω-enumeration degrees below which are low n for some n. (shrink)

M. Finley in a well-known and influential article, established the theory that the bridegroom offered gifts to the bride's father, which had their recompense in a counter-gift or dowry to the groom and the bride; these gifts must be equal in value.

Iran -- Religion. ; Philosophy --Iran lectures etc.

The article describes the tendency of integration of pedagogical concepts of education on a philosophical basis. The philosophical approach involves a certain method of studying education — "philosophizing", which is directly related to the study of a person, his life, his personality, the search for means that help him in self-determination, finding the meaning of life.

The article traces the lines of interrelation of philosophy as a systematic knowledge of the world and literature as a form of artistic contemplation. Conceptual and figurative comprehension of the world, according to the author, are attributive properties of the spiritual life of society. In the paradigm of this understanding, the union of philosophy with diverse types of literary creativity is considered as a basic component of the national spiritual culture of the XIX — early XX century, which determined its (...) national peculiarity, becoming a kind of symbolic code. On the one hand, she set the main vector of literary creativity, including the search for the meanings of being, and filled the intuitions of artistic and imaginative thinking with philosophical content, on the other hand, she "added" metaphysics of philosophical thought with ideological questions about progress, social justice and equality, insuring philosophical reflection from the dictates of rigid conceptual schemes. (shrink)

Socrates' account of recollection in the Phaedo has been the subject of much study, but little attention has been paid to the questions whether and how far his arguments address Simmias' claim that he needs to recollect and be reminded that learning is recollection . I shall argue that Socrates reminds Simmias by appealing to Simmias' experience of question-and-answer discussion in order to show him how in these discussions they are regaining forgotten knowledge, but have not yet completed this process.

We contrast person-centered categories with objective categories related to physics: consciousness vs. mechanism, observer vs. observed, agency vs. event causation. semantics vs. syntax, beliefs and desires vs. dispositions. How are these two sets of categories related? This talk will discuss just one such dichotomy: consciousness vs. mechanism. Two extreme views are dualism and reductionism. An intermediate view is emergence. Here, consciousness is part of the natural order (as against dualism), but consciousness is not definable only in terms of physical mass, (...) length, and time (as against reductionism). There are several detailed theories of emergence. One is based on the Great Chain of Being and on organic evolutionary hierarchy. The theory here is based instead on the concept of relational holism in quantum mechanics. The resulting brain model has two interacting systems: a computational system and a quantum system (a Bose-Einstein condensate), perhaps interacting via EEG waves. Thus, we need both person-centered and matter-centered categories to describe human beings. Some possible experimental tests are discussed. (shrink)

Palabras en el tiempo -- Abecedario filosófico de Emilio Lledó -- Semblanza.