We show that the first order theory of the lattice $\mathscr{L}^{ (S) of finite dimensional closed subsets of any nontrivial infinite dimensional Steinitz Exhange System S has logical complexity at least that of first order number theory and that the first order theory of the lattice L(S ∞ ) of computably enumerable closed subsets of any nontrivial infinite dimensional computable Steinitz Exchange System S ∞ has logical complexity exactly that of first order number theory. Thus, for example, the lattice of (...) finite dimensional subspaces of a standard copy of $\bigoplus_\omega$ Q interprets first order arithmetic and is therefore as complicated as possible. In particular, our results show that the first order theories of the lattice L(V ∞ ) of c.e. subspaces of a fully effective ℵ 0 -dimensional vector space V∞ and the lattice of c.e. algebraically closed subfields of a fully effective algebraically closed field F ∞ of countably infinite transcendence degree each have logical complexity that of first order number theory. (shrink)

We show that linear Regge trajectories for mesons and glueballs, and the cubic mass spectrum associated with them, determine a relation between the masses of the ρ meson and the scalar glueball, $M(0^{ + + } ) = 3/\sqrt 2 M(\rho )$ , which implies $M(0^{ + + } ) = 1650_ \pm 10$ MeV. We also discuss relations between the masses of the scalar, tensor and 3-- glueballs, $M(2^{ + + } ) = \sqrt 2 M(0^{ + + } (...) ),{\text{ }}M(3^{ - - } ) = 2M(0^{ + + } )$ , which imply $M(2^{ + + } ) = 2290_ \pm {\text{ }}15{\text{ MeV, }}M(3^{ - - } ) = 3240_ \pm {\text{ }}20$ MeV. (shrink)

Lives and work of Veṅkaṭanātha (Vedantadesika), 1268-1369, and Maṇavāḷa Māmun̲i, 1370-1444, Vaishnavite leaders and exponents of the Viśiṣṭādvaita school in Hindu philosophy from Tamil Nadu.

Here are the answers to questions Man has sought through the ages; here are practical answers you hoped could be found somewhere; here are answers that work. ...

The basic structural units of society, as a highly organized social system, are social institutions, which allow to create a strong and stable system of relations between people, to form a social order. Leadership is one of the main elements that ensures the functioning of a social institute. The specific traits and particular attributes of political leadership are actively explored by scholars, while spiritual leadership with its particular characteristics remains unaddressed. In the modern world, the institute of leadership in Judaism (...) has a significant impact on its followers, and therefore it is important to study the historical roots of this phenomenon, the mechanisms of influence of the leader on the followers of the current and directly determine the role of the spiritual leader in the preserved national traditions of Judaism. (shrink)

Purpose: My goals in this paper are to comment on some of the roles that Ernst von Glasersfeld played in our work in IRON (Interdisciplinary Research on Number) from circa 1975 up until the time of his death, and to relate certain events that revealed his character in very human terms. Method: Among my recollections of Ernst, I have chosen those that I felt would most adequately portray his impact on the field of mathematics education and his ethics in the (...) field of human affairs. Findings: It has not often been said but, in his work in IRON, it was Ernst’s explicit intention to start a conceptual revolution in mathematics education and beyond. Other than serving as a revolutionary, Ernst also served as a mentor for many investigators in mathematics education, including myself. He excelled as a scientist as well an epistemologist, and his scientific work fueled his epistemological work. Ernst was a very ethical and wonderful human being who was dedicated to the betterment of humankind by means of his revolutionary ideas. (shrink)

Philosophical Studies Vol. 2, No. 2, p. 163, l. 24 for ‘Pocreon’ read “Creon’ and p. 165, l.4 for “Nereus” read “Nessus”, l. 16 for “Corrolate” read “Correlate” and l. 27 for “ Trachinae ” read “ Trachiniae ”. Proffessor Mackinnon should also have been described as Norris-Hulse Professor of Divinity in the University of Cambridge and Fellow of Corpus Christi College.

L. R. Reinhardt; III—Dualism and Categories, Proceedings of the Aristotelian Society, Volume 66, Issue 1, 1 June 1966, Pages 71–92, https://doi.org/10.1093/aris.