The concept of quantum principle is introduced as a principle whose formulation is based on specific quantum ideas and notions. We consider three such principles, viz, those of quantizability, local gauge symmetry, and supersymmetry, and their role in the development of the quantum field theory (QFT). Concerning the first of these, we analyze the formal aspects and physical contents of the renormalization procedure in QFT and its relation to ultraviolet divergences and the renorm group. The quantizability principle is formulated as (...) an existence condition of a self-consistent quantum version with a given mechanism of the field interaction. It is shown that the consecutive (from a historical point of view) use of these quantum principles puts still larger limitations on possible forms of field interactions. (shrink)

Propositions are the result of hypostatization in accordance with the principle of the identification of indiscernibles wherever differences among inscribed or uttered statemental units are systematically ignored. Criteria for identity of propositions are, thus, to be found in each context of discourse about statemental units where qualitatively different units are treated as interchangeable. Ayer's notion of proposition as opposed to statement, Goodman's notion of replication, and the notion of constructional definition or reduction are discussed in the light of this thesis. (...) The so-called "problem of identifying propositions" is shown to be a bogus problem because the propositions simpliciter to be identified are incoherently conceived, though in the course of discussion the prospect appears that many different and limitedly applicable sets of criteria for identification of propositions relative to different discourses can be given. (shrink)

Tijdens zijn bewogen leven schreef Dirck Volckertsz Coornhert (1522-1590) vele teksten en voerde hij talloze gesprekken. Zijn doel: zijn medemensen overtuigen van het belang om niet slaafs achter anderen aan te lopen maar zélf na te denken. Want elk mens heeft voldoende redelijke vermogens om het leven zelfstandig vorm te geven en het goede te doen. De Kruidhofjes bevat twee bundels met dialogen – gesprekken die Coornhert zelf voerde of onderweg heeft gehoord. De dialogen zijn te zien als medicijnen tegen (...) wat Coornhert zag als de ziekte van zijn tijd: onnadenkendheid en religieuze scherpslijperij. Enerzijds probeert Coornhert obstakels voor een goed en gelukkig persoonlijk leven weg te halen. Hier gaat het vooral om het bestrijden van onbegrip en onwetendheid. Anderzijds probeert Coornhert obstakels voor vreedzaam samenleven op te ruimen. Dat is de reden waarom nogal wat dialogen ingaan op religieuze kwesties als kerkbezoek, de mis en kerkelijke ceremonies; onenigheid over deze onderwerpen vormde immers de belangrijkste oorzaak van de heftige onderdrukking, vervolging en oorlog in de zestiende eeuw. Dit verklaart ook de felheid van veel van de dialogen. Discussies over religieuze denkbeelden en gebruiken waren niet zomaar interessant tijdverdrijf voor bij de borrel. Het ging ergens om: om de waarheid, je zielenheil en de inrichting van de maatschappij. In 45 dialogen probeert Coornhert zo zijn medemens te motiveren tot eerlijkheid naar zichzelf en verdraagzaamheid naar de ander. (shrink)

A collection of articles about P.A. Sorokin's work are preceded by a Russian translation of selected chapters of his 1947 work "Society, culture and personality" and a collection of correspondence (also translated into Russian) between him and Robert Merton.

One of the traditional ways mathematical ideas and even new areas of mathematics are created is from experiments. One of the best-known examples is that of the Fermat hypothesis, which was conjectured by Fermat in his attempts to find integer solutions for the famous Fermat equation. This hypothesis led to the creation of a whole field of knowledge, but it was proved only after several hundred years. This book, based on the author's lectures, presents several new directions of mathematical research. (...) All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open, i.e., are neither proved nor disproved. The hypotheses range from geometry and topology (statistics of plane curves and smooth functions) to combinatorics (combinatorial complexity and random permutations) to algebra and number theory (continuous fractions and Galois groups). For each subject, the author describes the problem and presents numerical results that led him to a particular conjecture. In the majority of cases there is an indication of how the readers can approach the formulated conjectures (at least by conducting more numerical experiments). Written in Arnold's unique style, the book is intended for a wide range of mathematicians, from high school students interested in exploring unusual areas of mathematics on their own, to college and graduate students, to researchers interested in gaining a new, somewhat nontraditional perspective on doing mathematics. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI). (shrink)

Lectures on Hindu monistic (Advaita) Vedanta philosophy.

Purpose. The purpose of the study is critical reconstruction of gender issues within the framework of modern political philosophy and political anthropology, in-depth reflection of the phenomena of justice, identity, human dignity in the aspect of their gender measurements and the search for the answer to the fundamental question for leading gender discourses: is freedom and justice, in fact, possible only together with stresses, a feeling of one’s sense-rooted belonging to one or another community? Theoretical basis. The supplement of the (...) phenomenological and transcendental methodology by the method of contractualism directs the study of the topic specified in the article’s title into a new direction, and reflects its essential measurements and aspects. Understanding gender as an important philosophical and anthropological problem and a complex "social construct" precisely within the framework of the latest critical and self-critical versions of the theory of social contract reveal fruitful perspectives for political philosophy and anthropology. Originality. The study of the phenomena of "recognition" of "gender justice", "moral sense" outlines the possibilities and sense of filling the principle of social contract with a specific theoretical and practical content, substantiates the need to expand the philosophical and anthropological interpretation space of gender issues. Conclusions. Significance of the gender community for the sociocultural and existential identity of the individual enables his/her security and the ability to adequately orient in difficult life situations. However, the main purpose of human life is the ability to self-identity, even after profound changes in the structure of personality that arise in difficult situations of contempt and injustice. (shrink)