scholarly journals Metaphysical and Cultural Nature of Sacrifice in the Life and Death of E. Stein and S. Weil

2020 ◽  
Vol 27 (4) ◽  
pp. 13-40
Author(s):  
Piotr Duchliński ◽  
Agata Płazińska

The article explains the metaphysical, culture-making and creative act sacrificing one’s own life in the name of higher values. At the beginning we discuss the causes of a contemporary cultural crisis and the disap­pearance of metaphysical attitudes. We have formulated a thesis that the revival of metaphysics in contemporary culture can be grounded in the experience of metaphysical qualities that are present in heroic acts of offering one’s own life for another. The next step in our analysis was to identify the necessary and sufficient conditions for self-sacrifice, and then, on the examples of E. Stein and S. Weil, we show what the ultimate sacrifice of one’s own life is. Using the method of humanis­tic interpretation, we have reconstructed the descriptive and normative reasons which motivated the two women to their acts of self-sacrifice. And although Weil and Stein do not meet the criteria to be categorized as self-sacrifices, we have found that they indeed were ultimate sacri­fices because they were directed towards the realization of the highest moral and religious ideals. Using the category of “metaphysical quali­ties” developed by the Polish phenomenologist Roman Ingarden, we proposed an interpretation in which the sacrificial act was interpreted as supererogation in which metaphysical qualities such as holiness, sublimity, etc. are phenomenologically present. Such an act also has a cultural-creative dimension, consisting in building a culture and civilization of life in which the value of the existence of another human being is a correlate of a metaphysical desire rather than biological and psychological needs. The thesis is that, contrary to the contemporary crisis in metaphysics and axiology, they are essential and irremovable elements of culture, without which it cannot grow properly.

Author(s):  
Galen Strawson

This chapter examines John Locke's idea of personal identity by focusing on the canonical personal identity question: What are the necessary and sufficient conditions of the truth of the claim that a person considered now at time t₂, whom we may call [P], is the same person as a person considered at a different past time t₁, whom we may call [Pₓ]? What has to be true if it is to be true that [Pₓ] is the same person as [P]? The canonical question assumes that “person” denotes a thing or object or substance that is a standard temporal continuant in the way that a human being or person1 is (or an immaterial soul, on most conceptions of what an immaterial soul is). The chapter considers how Locke's person differs both from human being (man) and from (individual) substance, material or immaterial, on the same ground, as well as his concept of the field of consciousness in relation to personhood.


1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.


2020 ◽  
Vol 17 (3) ◽  
pp. 313-324
Author(s):  
Sergii Chuiko ◽  
Ol'ga Nesmelova

The study of the differential-algebraic boundary value problems, traditional for the Kiev school of nonlinear oscillations, founded by academicians M.M. Krylov, M.M. Bogolyubov, Yu.A. Mitropolsky and A.M. Samoilenko. It was founded in the 19th century in the works of G. Kirchhoff and K. Weierstrass and developed in the 20th century by M.M. Luzin, F.R. Gantmacher, A.M. Tikhonov, A. Rutkas, Yu.D. Shlapac, S.L. Campbell, L.R. Petzold, Yu.E. Boyarintsev, V.F. Chistyakov, A.M. Samoilenko, O.A. Boichuk, V.P. Yacovets, C.W. Gear and others. In the works of S.L. Campbell, L.R. Petzold, Yu.E. Boyarintsev, V.F. Chistyakov, A.M. Samoilenko and V.P. Yakovets were obtained sufficient conditions for the reducibility of the linear differential-algebraic system to the central canonical form and the structure of the general solution of the degenerate linear system was obtained. Assuming that the conditions for the reducibility of the linear differential-algebraic system to the central canonical form were satisfied, O.A.~Boichuk obtained the necessary and sufficient conditions for the solvability of the linear Noetherian differential-algebraic boundary value problem and constructed a generalized Green operator of this problem. Based on this, later O.A. Boichuk and O.O. Pokutnyi obtained the necessary and sufficient conditions for the solvability of the weakly nonlinear differential algebraic boundary value problem, the linear part of which is a Noetherian differential algebraic boundary value problem. Thus, out of the scope of the research, the cases of dependence of the desired solution on an arbitrary continuous function were left, which are typical for the linear differential-algebraic system. Our article is devoted to the study of just such a case. The article uses the original necessary and sufficient conditions for the solvability of the linear Noetherian differential-algebraic boundary value problem and the construction of the generalized Green operator of this problem, constructed by S.M. Chuiko. Based on this, necessary and sufficient conditions for the solvability of the weakly nonlinear differential-algebraic boundary value problem were obtained. A typical feature of the obtained necessary and sufficient conditions for the solvability of the linear and weakly nonlinear differential-algebraic boundary-value problem is its dependence on the means of fixing of the arbitrary continuous function. An improved classification and a convergent iterative scheme for finding approximations to the solutions of weakly nonlinear differential algebraic boundary value problems was constructed in the article.


Filomat ◽  
2017 ◽  
Vol 31 (4) ◽  
pp. 925-940 ◽  
Author(s):  
Medine Yeşilkayagil ◽  
Feyzi Başar

Let 0 < s < ?. In this study, we introduce the double sequence space Rqt(Ls) as the domain of four dimensional Riesz mean Rqt in the space Ls of absolutely s-summable double sequences. Furthermore, we show that Rqt(Ls) is a Banach space and a barrelled space for 1 ? s < 1 and is not a barrelled space for 0 < s < 1. We determine the ?- and ?(?)-duals of the space Ls for 0 < s ? 1 and ?(bp)-dual of the space Rqt(Ls) for 1 < s < 1, where ? ? {p, bp, r}. Finally, we characterize the classes (Ls:Mu), (Ls:Cbp), (Rqt(Ls) : Mu) and (Rqt(Ls):Cbp) of four dimensional matrices in the cases both 0 < s < 1 and 1 ? s < 1 together with corollaries some of them give the necessary and sufficient conditions on a four dimensional matrix in order to transform a Riesz double sequence space into another Riesz double sequence space.


Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2877-2889 ◽  
Author(s):  
Amir Sanatpour ◽  
Mostafa Hassanlou

We study boundedness of weighted differentiation composition operators Dk?,u between Zygmund type spaces Z? and Bloch type spaces ?. We also give essential norm estimates of such operators in different cases of k ? N and 0 < ?,? < ?. Applying our essential norm estimates, we get necessary and sufficient conditions for the compactness of these operators.


Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4875-4887 ◽  
Author(s):  
Mehmet Atçeken ◽  
Siraj Uddin

In this paper, we introduce the notion of semi-invariant submanifolds of a normal almost paracontact manifold. We study their fundamental properties and the particular cases. The necessary and sufficient conditions are given for a submanifold to be invariant or anti-invariant. Also, we give some results for semi-invariant submanifolds of a normal almost paracontact manifold with constant c and we construct an example.


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