When proving it is impossible to ‘square’ the circle by a ruler–and–compass construction we have to appeal to the theorem that π is transcendental. It is our goal to prove this theorem. Since the algebraic numbers are the roots of integer polynomials, they are countably many. Cantor’s proof in 1874 of the uncountability of the real numbers guaranteed the existence of (uncountably many) transcen...

Abstract Debates on the relation between theology and religious studies ultimately revolve around epistemological questions: What are respective limits of academic knowledge reasoning, along what boundaries can they meet? This contribution argues that “reality religion” is shared subject matter these disciplines. For methodological purposes, a distinction made two poles: “transcendent frame” th...

Abstract This paper engages Alex Dubilet’s The Self-Emptying Subject: Kenosis and Immanence, Medieval to Modern his account of immanence kenosis as exhibited in reading Hegel’s concept Entäußerung [externalization]. Specifically, I focus on the “problematic desubjectivation” that centers critique transcendence its relationship subjection subjectivity. reconsider made between this problematic, e...

We present a general result of simultaneous approximation to several transcendental real, complex or p-adic numbers ξ1, ..., ξt by conjugate algebraic numbers of bounded degree over Q, provided that the given transcendental numbers ξ1, ..., ξt generate over Q a field of transcendence degree one. We provide sharper estimates for example when ξ1, ..., ξt form an arithmetic progression with non-ze...

“Self-transcendence” is proposed as a way in which individuals might find relief and support the context of COVID-19, well other times uncertainty. However, authors propose that multiple definitions self-transcendence within existing literature lean towards complex, sometimes obscure, imprecisely spiritual. A concern this creates circumstance, where possibility supporting wider population will ...

This article presents information on standardized paper-and-pencil measures of spiritual and transpersonal constructs that hold promise for use in yoga research. Nine instruments are discussed at length including the Assessment Schedule for Altered States of Consciousness, Ego Grasping Orientation, Expressions of Spirituality Inventory, Hindu Religious Coping Scale, Measures of Hindu Pathways, ...

As e-government enters the “transformation” phase, public authorities face major challenges in terms of governance and leadership. The present article consolidates prior research related to organizational structure and governance, and provides an analytical framework intended to guide empirical enquiry and to orient action. We argue that our understanding is enhanced by distinguishing an “integ...

Spirituality" has often been framed in social science research as an alternative to organized "religion," implicitly or explicitly extending theoretical arguments about the privatization of religion. This article uses in-depth qualitative data from a religiously-diverse U.S. sample to argue that this either-or distinction not only fails to capture the empirical reality of American religion, but...