Over the years, researchers have used several methods to investigate reflection. These are based on various theories. Researchers mainly use qualitative methods to study reflection, but mixed methods and quantitative studies are carried out as well. A number of different scales have been developed and used to measure reflection. The main purpose of this paper is to explore the internal consiste...

1. Iterated Gödelian extensions of theories. The idea of iterating ad infinitum the operation of extending a theory T by adding as a new axiom a Gödel sentence for T , or equivalently a formalization of “T is consistent”, thus obtaining an infinite sequence of theories, arose naturally when Gödel’s incompleteness theorem first appeared, and occurs today to many non-specialists when they ponder ...

We study reflection principles in fragments of Peano arithmetic and their applications to the questions of comparison and classification of arithmetical theories. Bibliography: 95 items.

This paper explores reflective practice from an organizational perspective, in order to shift the focus in management and organization studies from the individual reflective practitioner towards the organization of reflection. A framework for understanding the organization of reflection is presented, built from four existing theories: critical reflection, public reflection, productive reflectio...

(1) Background: Educational theories are a constitutive element of educational studies. Despite their theoretical relevance, little is still known about students’ and instructors’ understandings theory-related attitudes beliefs. (2) Methods: To elucidate these constructs to test we conducted mixed-methods study with 32 students 12 instructors studies at German university. (3) Results: We found ...

Symmetry breaking boundary conditions for WZW theories are discussed. We derive explicit formulae for the reflection coefficients in the presence of boundary conditions that preserve only an orbifold subalgebra with respect to an involutive automorphism of the chiral algebra. The characters and modular transformations of the corresponding orbifold theories are computed. Both inner and outer aut...

TILTING THEORY FOR QUIVERS AND RELATED CATEGORIES MORITZ GROTH AND JAN ŠŤOVÍČEK Abstract. We generalize the construction of reflection functors from classical representation theory of quivers to arbitrary small categories with freely attached sinks or sources. These reflection morphisms are shown to induce equivalences between the corresponding representation theories with values in arbitrary s...