This article initiates the study of topological transcendental fields F which are subfields field C all complex numbers such that only consists rational and a nonempty set numbers. F, with topology it inherits as subspace C, is field. Each separable metrizable zero-dimensional space algebraically Q(T), extension by T It proven there exist precisely 2?0 countably infinite each homeomorphic to Q ...

Logic plays a fundamental role in Kant’s transcendental philosophy. The general presupposition is that Kant’s logic can be subsumed under the Aristotelian tradition. However, with respect to this presupposition some problems arise in Kant’s philosophy. This thesis takes a new approach to Kant’s logic: Instead of imposing a logical framework on Kant’s thought this thesis aims at deriving the log...

This paper presents a case study of a group in initial primary teacher education students becoming researchers of their peers’ course experiences of school – university links. The connection between university teacher preparation programmes and work in school is a well-researched area with suggestions that there is a marked disconnect between the two. The project took an emergent approach to le...

We construct an Enriques surface over Q with empty étale-Brauer set (and hence no rational points) for which there is no algebraic Brauer-Manin obstruction to the Hasse principle. In addition, if there is a transcendental obstruction on our Enriques surface, then we obtain a K3 surface that has a transcendental obstruction to the Hasse principle.

Periods of overall high EEG coherence were found during the practice of the Transcendental Meditation technique. These periods of high coherence were correlated with the subjective experience of pure consciousness, the simplest state of awareness, during Transcendental Meditation. The author proposes that the state of pure consciousness corresponds to the ground state of central nervous system ...

We prove that every rational angled hyperbolic triangle has transcendental side lengths and that every rational angled hyperbolic quadrilateral has at least one transcendental side length. Thus, there does not exist a rational angled hyperbolic triangle or quadrilateral with algebraic side lengths. We conjecture that there does not exist a rational angled hyperbolic polygon with algebraic side ...

We give combinatorial criteria for predicting the transcendental weight of Feynman integrals of certain graphs in φ theory. By studying spanning forest polynomials, we obtain operations on graphs which are weight-preserving, and a list of subgraphs which induce a drop in the transcendental weight.