The article presents the understanding of transcendence person in Wojtyła’s phi­losophy. text discusses turn: role experience person; concept transcend­ence relation to other concepts used by Wojtyła; reference truth as basis personal transcendence; integration existence. analyses conducted show that proper sense reveals spiritual dimension his existence being superior material dimension. prese...

We show that the iterative logarithm of the power series ez − 1 is differentially transcendental over the ring of convergent power series.

We show that the iterative logarithm of each non-linear entire function is differentially transcendental over the ring of entire functions, and we give a sufficient criterion for such an iterative logarithm to be differentially transcendental over the ring of convergent power series. Our results apply, in particular, to the exponential generating function of a sequence arising from work of Shad...

Addition to Lemma 81. In [1], § 4, there is a variant of the matrix formula (64) for the simple continued fraction of a real number. Given integers a0, a1, . . . with ai > 0 for i ≥ 1 and writing, for n ≥ 0, as usual, pn/qn = [a0, a1, . . . , an], one checks, by induction on n, the two formulae ( 1 a0 0 1 )( 1 0 a1 1 ) · · · ( 1 an 0 1 ) = ( pn−1 pn qn−1 qn ) if n is even ( 1 a0 0 1 )( 1 0 a1 1...

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...